%%% -*-BibTeX-*-
%%% ====================================================================
%%%  BibTeX-file{
%%%     author          = "Nelson H. F. Beebe",
%%%     version         = "1.99",
%%%     date            = "30 September 2024",
%%%     time            = "11:50:43 MDT",
%%%     filename        = "lanczos-cornelius.bib",
%%%     address         = "University of Utah
%%%                        Department of Mathematics, 110 LCB
%%%                        155 S 1400 E RM 233
%%%                        Salt Lake City, UT 84112-0090
%%%                        USA",
%%%     telephone       = "+1 801 581 5254",
%%%     FAX             = "+1 801 581 4148",
%%%     URL             = "https://www.math.utah.edu/~beebe",
%%%     checksum        = "08577 23942 100543 1054498",
%%%     email           = "beebe at math.utah.edu, beebe at acm.org,
%%%                        beebe at computer.org (Internet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "bibliography; BibTeX; Cornel Lanczos;
%%%                        Cornelius Lanczos; Kornel Lancius; Kornel
%%%                        Lanczos; L{\a}nczos Korn{\'e}l",
%%%     license         = "public domain",
%%%     supported       = "yes",
%%%     docstring       = "This is a bibliography of the publications
%%%                        of Cornelius Lanczos (2 February 1893--25
%%%                        June 1974).  The family name was originally
%%%                        the German--Jewish L{\"o}wy, but was changed
%%%                        to the Hungarian L{\'a}nczos in 1906, when
%%%                        Cornelius was then still in school.
%%%
%%%                        Lanczos wrote in Hungarian, French, German,
%%%                        and English, and under five author names:
%%%
%%%                        (1) Hungarian form: L{\'a}nczos Korn{\'e}l
%%%                        (2) German form:    Kornel Lancius
%%%                        (3) German form:    Kornel Lanczos
%%%                                            (1922--July 29, 1927)
%%%                        (4) German form:    Cornel Lanczos
%%%                                            (mid-1927--1935)
%%%                        (5) English form:   Cornelius Lanczos or
%%%                                            C. Lanczos (1931--1998)
%%%
%%%                        At version 1.07, coverage is believed to be
%%%                        COMPLETE (the bibliography includes
%%%                        everything listed in Anonymous:1994:PPB, and
%%%                        more), although it is likely that entries are
%%%                        missing for some translations of Lanczos's
%%%                        books into other languages.
%%%
%%%                        At version 1.99, the year coverage looked
%%%                        like this:
%%%
%%%                             1921 (   1)    1956 (   4)    1991 (  12)
%%%                             1922 (   2)    1957 (   5)    1992 (  16)
%%%                             1923 (   5)    1958 (   8)    1993 (  23)
%%%                             1924 (   2)    1959 (   1)    1994 ( 169)
%%%                             1925 (   7)    1960 (   3)    1995 (  21)
%%%                             1926 (   5)    1961 (   5)    1996 (  27)
%%%                             1927 (   2)    1962 (   9)    1997 (  28)
%%%                             1928 (   0)    1963 (   4)    1998 (  27)
%%%                             1929 (   4)    1964 (  10)    1999 (  25)
%%%                             1930 (   5)    1965 (   7)    2000 (  21)
%%%                             1931 (   6)    1966 (  13)    2001 (  19)
%%%                             1932 (   7)    1967 (  11)    2002 (  15)
%%%                             1933 (   3)    1968 (   4)    2003 (  14)
%%%                             1934 (   2)    1969 (   5)    2004 (   9)
%%%                             1935 (   2)    1970 (  11)    2005 (  16)
%%%                             1936 (   2)    1971 (   6)    2006 (  12)
%%%                             1937 (   1)    1972 (   9)    2007 (  15)
%%%                             1938 (   3)    1973 (   7)    2008 (  11)
%%%                             1939 (   1)    1974 (  17)    2009 (   9)
%%%                             1940 (   1)    1975 (  16)    2010 (  13)
%%%                             1941 (   2)    1976 (   8)    2011 (   7)
%%%                             1942 (   5)    1977 (   4)    2012 (   0)
%%%                             1943 (   0)    1978 (   6)    2013 (   1)
%%%                             1944 (   0)    1979 (   3)    2014 (   1)
%%%                             1945 (   0)    1980 (   5)    2015 (   0)
%%%                             1946 (   0)    1981 (   7)    2016 (   2)
%%%                             1947 (   0)    1982 (   9)    2017 (   0)
%%%                             1948 (   1)    1983 (   6)    2018 (   2)
%%%                             1949 (   2)    1984 (  15)    2019 (   1)
%%%                             1950 (   1)    1985 (   9)    2020 (   1)
%%%                             1951 (   6)    1986 (   8)    2021 (   0)
%%%                             1952 (   5)    1987 (  18)    2022 (   1)
%%%                             1953 (   2)    1988 (   6)    2023 (   2)
%%%                             1954 (   0)    1989 (  13)    2024 (   1)
%%%                             1955 (   5)    1990 (  13)
%%%
%%%                             Article:        522
%%%                             Book:            76
%%%                             InBook:           5
%%%                             InCollection:    26
%%%                             InProceedings:  188
%%%                             MastersThesis:    2
%%%                             Misc:             1
%%%                             PhdThesis:        7
%%%                             Proceedings:     31
%%%                             TechReport:      34
%%%                             Unpublished:      4
%%%
%%%                             Total entries:  896
%%%
%%%                        This bibliography consists of two main parts:
%%%
%%%                            * publications of Lanczos
%%%                            * publications about Lanczos or his works
%%%
%%%                        The second part is only a sampling: the name
%%%                        Lanczos appears in countless article titles
%%%                        in the engineering, mathematics, and science
%%%                        literature.
%%%
%%%                        The final (third) part contains entries that
%%%                        are cross referenced by earlier entries.
%%%
%%%                        While Lanczos worked primarily in theoretical
%%%                        physics and applied mathematics, his work has
%%%                        had wide influence, with use in chemical
%%%                        physics, cryptography, crystallography,
%%%                        engineering, geology, geophysics, nuclear
%%%                        physics, quantum chemistry, and quantum
%%%                        physics.
%%%
%%%                        Lanczos wrote 14 books, with several
%%%                        appearing in more than one edition, or from
%%%                        more than one publisher.  Most have URL links
%%%                        to the Hathi Trust Digital Library: a few are
%%%                        available for online viewing in their
%%%                        entirety (though not downloadable), while
%%%                        most others permit only severely-limited
%%%                        searching due to copyright restrictions.
%%%
%%%                        It is considered an honor in mathematics and
%%%                        science to have one's name attached to
%%%                        concepts, such as algorithms, conjectures,
%%%                        equations, hypotheses, methods, propositions,
%%%                        theorems, and so on. It is an even greater
%%%                        honor to be connected with some of the
%%%                        greatest mathematicians or scientists in
%%%                        history.  Here are about three dozen examples
%%%                        from this bibliography:
%%%
%%%                            * Bach--Lanczos identity
%%%                            * block Lanczos method (or procedure)
%%%                            * Invert--Lanczos process
%%%                            * Krylov--Lanczos method
%%%                            * Lanczos algorithm (for eigensolutions)
%%%                            * Lanczos approximation
%%%                            * Lanczos basis
%%%                            * Lanczos bidiagonalization
%%%                            * Lanczos coordinates
%%%                            * Lanczos decomposition
%%%                            * Lanczos iteration
%%%                            * Lanczos phenomena
%%%                            * Lanczos potential
%%%                            * Lanczos potential spinor
%%%                            * Lanczos process (subspace iteration)
%%%                            * Lanczos representation
%%%                            * Lanczos tau method (for function interpolation)
%%%                            * Lanczos technique
%%%                            * Lanczos transformation
%%%                            * Lanczos tridiagonalization
%%%                            * Lanczos vectors
%%%                            * Lanczos--Arnoldi algorithm
%%%                            * Lanczos--Chebyshev reduction method
%%%                            * Lanczos--Legendre reduction method
%%%                            * Lanczos--Ortiz theory of canonical polynomials
%%%                            * Lanczos--Pad{\'e} spectral solution
%%%                            * Lanczos-hybrid regularization
%%%                            * Liouville--Lanczos approach
%%%                            * look-ahead Lanczos algorithm
%%%                            * Newton--Lanczos method (for solution of
%%%                               nonlinear finite-element equations)
%%%                            * Pad{\'}e-via-Lanczos algorithm (or method)
%%%                            * Riemann--Lanczos equations (or problems)
%%%                            * Schwinger--Lanczos algorithm
%%%                            * Shift-and-Invert Lanczos method
%%%                            * Spectral Lanczos Decomposition Method (SLDM)
%%%                            * Unsymmetric Lanczos Reduction method
%%%                            * Weyl--Lanczos equations (or relations)
%%%
%%%                        A search in mid-2011 of http://scholar.google.com/
%%%                        found these important Lanczos works (ordered by
%%%                        descending reference counts):
%%%
%%%                            Lanczos:1950:IMS    2224
%%%                            Lanczos:1961:AA     1561
%%%                            Lanczos:1970:VPM    1534
%%%                            Lanczos:1952:SSL     647
%%%                            Lanczos:1996:LDO     618
%%%                            Lanczos:1938:RPR     231
%%%                            Lanczos:1938:TIE     221
%%%                            Lanczos:1966:DFSa,b  204
%%%                            Lanczos:1962:SRT     155
%%%                            Lanczos:1988:AA      147
%%%                            Lancius:1922:BSW      93
%%%                            Lanczos:1930:ISL      90
%%%                            Lanczos:1964:PAG      78
%%%                            Lanczos:1958:LSS      46
%%%                            Lanczos:1957:EGR      41
%%%                            Lanczos:1961:PMP      29
%%%                            Lanczos:1973:LVC      26
%%%                            Rosser:1951:SCE       25
%%%                            Lanczos:1953:CPS      21
%%%                            Lanczos:1965:AEC      20
%%%
%%%                        Those numbers are suggestive of the relative
%%%                        importance of some of Lanczos' books and
%%%                        papers.  That Web site includes links to the
%%%                        citing documents, allowing researchers to
%%%                        find more recent works that build on that of
%%%                        Lanczos.
%%%
%%%                        Lanczos was born about 30km southwest of
%%%                        Budapest in the city of
%%%                        Sz{\'e}kesfeh{\'e}rv{\'a}r, the first capital
%%%                        of Hungary (ca. 1000--1250 CE).  He attended
%%%                        the Budapest University of Science where the
%%%                        famous Roland E{\"o}tv{\"o}s (E{\"o}tv{\"o}s
%%%                        Lor{\'a}nd in Hungarian) (1848--1919) was one
%%%                        of his professors.  One of E{\"o}tv{\"o}s'
%%%                        most important contributions was the
%%%                        demonstration (to 8 decimal digits) of the
%%%                        equivalence between inertial mass and
%%%                        gravitational mass, and accurate measurement
%%%                        of Newton's gravitational constant, $G$:
%%%
%%%                            http://en.wikipedia.org/wiki/E%C3%B6tv%C3%B6s_experiment
%%%                            http://www.kfki.hu/eotvos/onehund.html
%%%
%%%                        His torsion balance was later improved and
%%%                        the equivalence has now been confirmed with
%%%                        an accuracy of 1 part in $10^{11}$.  The
%%%                        demonstrated equivalence was fundamental
%%%                        evidence for Albert Einstein's Principle of
%%%                        Equivalence in the Theory of Relativity,
%%%                        although in 1912, Einstein was still unaware
%%%                        of that work.
%%%
%%%                        Lanczos's graduate supervisor was nominally
%%%                        Rudolf Ortvay, but Lanczos worked largely
%%%                        independently on his thesis work.
%%%
%%%                        Although Lanczos' thesis work on General
%%%                        Relativity was completed in 1919, it was not
%%%                        published until 1921 because of the political
%%%                        turmoil in Hungary after the collapse of the
%%%                        Austro-Hungarian Empire after World War I.
%%%                        At Lanczos' request of 3 December 1919,
%%%                        Albert Einstein read Lanczos' thesis, and on
%%%                        22 January 1920, wrote to him that the work
%%%                        was worthy of a Ph.D. degree, and accepted
%%%                        Lanczos' request to dedicate his thesis to
%%%                        Einstein.
%%%
%%%                        Lanczos had a fellowship at the Budapest
%%%                        Institute of Technology until 1921, when he
%%%                        moved to Freiburg, Germany, then in 1924 to
%%%                        the University of Frankfurt, Germany.
%%%
%%%                        In 1924, Lanczos discovered an exact solution
%%%                        of the Einstein field equation for a
%%%                        symmetric rigidly-rotating cylinder of dust
%%%                        particles.  At the recommendation of Leo
%%%                        Szil{\'a}rd, Lanczos moved to Berlin to serve
%%%                        as Albert Einstein's assistant in 1928--1929.
%%%                        No joint publications of Lanczos and Einstein
%%%                        came from that work, but the two remained
%%%                        friends, and exchanged letters for more than
%%%                        three decades, until Einstein's death in
%%%                        1955.
%%%
%%%                        Lanczos left Hungary in 1931 for the USA,
%%%                        taking a temporary annual post at the
%%%                        Department of Mathematics, Purdue University,
%%%                        but spending the next several years split
%%%                        between Budapest and Purdue.  At Purdue, he
%%%                        became Professor of Mathematical Physics, and
%%%                        by 1942, was also Professor in the
%%%                        Experimental Curriculum for Women, and
%%%                        Research Professor of Aeronautical
%%%                        Engineering.
%%%
%%%                        Lanczos briefly returned to Hungary in 1939
%%%                        to try to rescue family members, but
%%%                        fortunately managed to catch the last ship
%%%                        back to the US before World War II began in
%%%                        September 1939, and was soon back at Purdue
%%%                        University.  He lost several family members
%%%                        in the Holocaust.
%%%
%%%                        In 1939--1942, Lanczos worked with Gordon
%%%                        Danielson at Purdue on the analysis of
%%%                        crystallographic X-ray diffraction data, and
%%%                        invented (prior to electronic computers) what
%%%                        later became famous as the Fast Fourier
%%%                        Transform.  For more on the important history
%%%                        of that discovery, and its relation to
%%%                        Lanczos, and earlier work in France, Germany,
%%%                        and England extending back to 1759, see the
%%%                        bibliography of John Wilder Tukey in the file
%%%                        tukey-john-w.bib in this collection.
%%%
%%%                        Lanczos spent a year during 1943--1944 on
%%%                        leave from Purdue University, working on the
%%%                        Mathematical Tables Project at the National
%%%                        Bureau of Standards.  That Project ultimately
%%%                        led to the famous Handbook of Mathematical
%%%                        Functions (NBS #55, 1964), edited by Milton
%%%                        Abramowitz and Irene Stegun.  However,
%%%                        Lanczos is not listed in it as a chapter
%%%                        author.
%%%
%%%                        In 1944, and after World War II, from 1946 to
%%%                        1948, Lanczos worked at Boeing Airplane
%%%                        Company, Seattle, Washington.
%%%
%%%                        In early 1949, Lanczos joined the Institute
%%%                        for Numerical Analysis (INA) of the US
%%%                        National Bureau of Standards, located on the
%%%                        campus of the University of California at Los
%%%                        Angeles, and remained there until 1952.
%%%
%%%                        Unfortunately, members of the INA were
%%%                        persecuted during the anti-communist
%%%                        witchhunts of the infamous McCarthy era
%%%                        during the early 1950s in the US.
%%%                        Consequently, in October 1952, Lanczos moved
%%%                        to Ireland, to succeed first, Walter Heitler,
%%%                        and later, Erwin Schr{\"o}dinger, at the
%%%                        Dublin Institute for Advanced Studies.  He
%%%                        spent part of 1953--1954 back in the US at
%%%                        North American Aviation.  Otherwise, he
%%%                        worked in Dublin until 1974, except for
%%%                        several excursions as visiting professor at
%%%                        several US universities and companies.  His
%%%                        first permanent job was that in Dublin,
%%%                        obtained at the age of 61.
%%%
%%%                        Lanczos died in Budapest, Hungary, in 1974
%%%                        during a visit there, and is buried in that
%%%                        city in the Jewish cemetery of Farkasr{\'e}t.
%%%
%%%                        In 1993, in Sz{\'e}kesfeh{\'e}rv{\'a}r, a
%%%                        two-block street branching from the Neumann
%%%                        J{\'a}nos utca was named L{\'a}nczos
%%%                        Korn{\'e}l utca.
%%%
%%%                        There is a small photo gallery of pictures
%%%                        of Lanczos in his later years at
%%%
%%%                            http://www.maths.manchester.ac.uk/~higham/photos/lanczos/
%%%
%%%                        There is an archive of Lanczos papers,
%%%                        letters, and writing, with commentaries, at
%%%
%%%                            http://www.physics.ncsu.edu/lanczos/
%%%
%%%                        That site includes English translations of
%%%                        his works that were written in French,
%%%                        German, and Hungarian.  It also includes 36
%%%                        years of letters between Lanczos and
%%%                        Einstein.  The collected works prepared at
%%%                        that institution are documented in entry
%%%                        Davis:1998:CLC.  That source contains an
%%%                        extensive list of Lanczos publications.
%%%
%%%                        Data for this bibliography have been
%%%                        collected from
%%%
%%%                            * the University of Utah Mathematics
%%%                              Department bibliography archives
%%%
%%%                            * the TeX User Group bibliography
%%%                              archives
%%%
%%%                            * the Karlsruhe Computer Science
%%%                              bibliography archives
%%%
%%%                            * the Karlsruhe virtual catalog at
%%%                              http://www.ubka.uni-karlsruhe.de/kvk_en.html
%%%
%%%                            * the US Library of Congress catalog at
%%%                              http://catalog.loc.gov/
%%%
%%%                            * the author's cattobib utility, which
%%%                              provides Z39.50 interfaces to many
%%%                              large libraries around the world, at
%%%                              https://www.math.utah.edu/pub/cattobib/
%%%
%%%                            * the American Institute of Physics
%%%                              Scitation database at
%%%                              http://scitation.aip.org/search_scitation
%%%
%%%                            * the American Physical Society PROLA
%%%                              database at
%%%                              http://publish.aps.org/search
%%%
%%%                            * the American Mathematical Society
%%%                              MathSciNet database at
%%%                              http://ams.rice.edu/mathscinet/search.html
%%%
%%%                            * the Canadian Journal of Physics
%%%                              database at
%%%                              http://www.nrcresearchpress.com/search/advanced
%%%
%%%                            * the European Mathematical Society
%%%                              Zentralblatt fuer Mathematik database
%%%                              at http://zb.msri.org/ZMATH/zmath/en/
%%%
%%%                            * the Europhysics journal archive at
%%%                              http://www.europhysicsnews.org/
%%%
%%%                            * the JSTOR database at
%%%                              http://www.jstor.org/
%%%
%%%                            * the Nature journal archive at
%%%                              http://www.nature.com/search/
%%%
%%%                            * the journal archives of the National
%%%                              Academy of Science at
%%%                              http://www.pnas.org/
%%%
%%%                            * the SAO/NASA Astrophysics Data System at
%%%                              http://adsabs.harvard.edu/
%%%
%%%                            * the Science journal archive at
%%%                              http://www.sciencemag.org/search
%%%
%%%                            * the SPIRES high-energy physics
%%%                              literature database at the Stanford
%%%                              Linear Accelerator at Stanford
%%%                              University at
%%%                              http://www.slac.stanford.edu/spires/hep/search/
%%%
%%%                            * the Springer journal database at
%%%                              http://www.springer.com/?SGWID=0-102-13-0-0
%%%
%%%                            * the Wiley journal database at
%%%                              http://onlinelibrary.wiley.com/
%%%
%%%                            * many online library catalogs, including
%%%                              those of the British Library, the
%%%                              Karlsruhe Virtual Library catalog, the
%%%                              Oxford University Library, the University of
%%%                              California library system, and the US
%%%                              Library of Congress.
%%%
%%%                        The checksum field above contains a CRC-16
%%%                        checksum as the first value, followed by the
%%%                        equivalent of the standard UNIX wc (word
%%%                        count) utility output of lines, words, and
%%%                        characters.  This is produced by Robert
%%%                        Solovay's checksum utility.",
%%%  }
%%% ====================================================================

@Preamble{
    "\let \k = \c" #
    "\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi" #
    "\ifx \undefined \mathbb \def \mathbb #1{{\bf #1}}\fi" #
    "\ifx \undefined \mathbf \def \mathbf #1{{\bf #1}}\fi" #
    "\ifx \undefined \mathcal \def \mathcal #1{{\cal #1}} \fi"
}

%%% ====================================================================
%%% Acknowledgement abbreviations:

@String{ack-nhfb = "Nelson H. F. Beebe,
                    University of Utah,
                    Department of Mathematics, 110 LCB,
                    155 S 1400 E RM 233,
                    Salt Lake City, UT 84112-0090, USA,
                    Tel: +1 801 581 5254,
                    FAX: +1 801 581 4148,
                    e-mail: \path|[email protected]|,
                            \path|[email protected]|,
                            \path|[email protected]| (Internet),
                    URL: \path|https://www.math.utah.edu/~beebe/|"}

%%% ====================================================================
%%% Institution abbreviations:

@String{BCS                     = "Boeing Computer Services"}
@String{BCS:adr                 = "Seattle, WA, USA"}

@String{inst-CERFACS            = "CERFACS"}
@String{inst-CERFACS:adr        = "Toulouse, France"}

@String{inst-CPAM-UCB           = "Center for Pure and Applied Mathematics,
                                  University of California, Berkeley"}
@String{inst-CPAM-UCB:adr       = "Berkeley, CA, USA"}

@String{inst-MCCM               = "Manchester Centre for Computational
                                  Mathematics"}
@String{inst-MCCM:adr           = "Manchester, England"}

@String{inst-U-MARYLAND-CS      = "Department of Computer Science,
                                  University of Maryland"}
@String{inst-U-MARYLAND-CS:adr  = "College Park, MD, USA"}

@String{inst-UTK-CS             = "Department of Computer Science, University
                                  of Tennessee, Knoxville"}
@String{inst-UTK-CS:adr         = "Knoxville, TN 37996, USA"}

%%% ====================================================================
%%% Journal abbreviations:

@String{j-ACTA-NUMERICA         = "Acta Numerica"}

@String{j-ADV-QUANTUM-CHEM      = "Advances in quantum chemistry"}

@String{j-AM-SCI                = "American Scientist"}

@String{j-AMER-J-PHYSICS        = "American Journal of Physics"}

@String{j-AMER-MATH-MONTHLY     = "American Mathematical Monthly"}

@String{j-ANN-MATH-2            = "Annals of Mathematics (2)"}

@String{j-ANN-PHYS-1900         = "Annalen der Physik (1900)"}

@String{j-ANN-PHYS-5            = "Annalen der Physik 5 (Berlin, Germany)"}

@String{j-APPL-MATH-COMP        = "Applied Mathematics and Computation"}

@String{j-APPL-MATH-LETT        = "Applied Mathematics Letters"}

@String{j-APPL-NUM-MATH         = "Applied Numerical Mathematics"}

@String{j-ARCH-APPL-MECH        = "Archive of Applied Mechanics =
                                  Ingenieur-Archiv"}

@String{j-BIOMETRIKA            = "Biometrika"}

@String{j-BIT                   = "BIT"}

@String{j-BIT-NUM-MATH          = "BIT Numerical Mathematics"}

@String{j-BULL-AMS              = "Bulletin of the American Mathematical
                                  Society"}

@String{j-BULL-INST-MATH-APPL   = "Bulletin of the Institute of Mathematics and
                                  its Applications"}

@String{j-CAH-PHYS              = "Cahiers de Physique"}

@String{j-CAN-J-PHYS            = "Canadian Journal of Physics = Journal
                                  canadien de physique"}

@String{j-CHEM-PHYS-LETT        = "Chemical Physics Letters"}

@String{j-COMM-NUMER-METHODS-ENGRG = "Communications in Numerical Methods in
                                  Engineering"}

@String{j-COMP-J                = "The Computer Journal"}

@String{j-COMP-PHYS-COMM        = "Computer Physics Communications"}

@String{j-COMP-STRUCTURES       = "Computers and Structures"}

@String{j-COMPUT-AIDED-CIVIL-INFRASTRUCT-ENG = "Computer-Aided Civil and Infrastructure Engineering"}

@String{j-COMPUT-MATER-SCI      = "Computational Materials Science"}

@String{j-COMPUT-MATH-APPL      = "Computers and Mathematics with Applications"}

@String{j-COMPUT-METH-APPL-MECH-ENG = "Computer Methods in Applied Mechanics and
                                  Engineering"}

@String{j-COMPUT-PHYS           = "Computers in Physics"}

@String{j-COMPUTING             = "Computing"}

@String{j-EARTHQUAKE-ENG-STRUCT-DYN = "Earthquake engineering \& structural
                                  dynamics"}

@String{j-ELECTRON-COMMUN-JPN-PART-1-COMMUN = "Electronics and Communications in
                                  Japan (Part I: Communications)"}

@String{j-ELECTRON-TRANS-NUMER-ANAL = "Electronic Transactions on Numerical
                                  Analysis"}

@String{j-ERGEB-EXAKTEN-NATURWISS = "Ergebnisse der Exakten
                                  Naturwissenschaften"}

@String{j-EUROPHYS-NEWS         = "Europhysics News"}

@String{j-FIZ-SZ                = "Fizikai Szemle (Budapest)"}

@String{j-FOUND-PHYS            = "Foundations of Physics"}

@String{j-GEN-RELATIVITY-GRAV   = "General relativity and gravitation"}

@String{j-GEOPHYS-J-INT         = "Geophysical journal international"}

@String{j-HIST-MATH             = "Historia Mathematica"}

@String{j-IEEE-TRANS-KNOWL-DATA-ENG = "IEEE Transactions on Knowledge and Data
                                  Engineering"}

@String{j-IJQC                  = "International Journal of Quantum Chemistry"}

@String{j-IMA-J-NUMER-ANAL      = "IMA Journal of Numerical Analysis"}

@String{j-INT-J-NUMER-ANAL-METHODS-GEOMECH = "International Journal for
                                  Numerical and Analytical Methods in
                                  Geomechanics"}

@String{j-INT-J-NUMER-METHODS-ENG = "International Journal for Numerical
                                  Methods in Engineering"}

@String{j-J-APPROX-THEORY       = "Journal of Approximation Theory"}

@String{j-J-CHEM-PHYS           = "Journal of Chemical Physics"}

@String{j-J-CHEMOM              = "Journal of Chemometrics"}

@String{j-J-COMPUT-APPL-MATH    = "Journal of Computational and Applied
                                  Mathematics"}

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%%% ====================================================================
%%% Publisher abbreviations:

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@String{pub-IEEE:adr            = "1109 Spring Street, Suite 300, Silver Spring,
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@String{pub-KLUWER:adr          = "Norwell, MA, USA, and Dordrecht,
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@String{pub-REIDEL:adr          = "Dordrecht, The Netherlands; Boston, MA, USA;
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@String{pub-SIAM:adr            = "Philadelphia, PA, USA"}

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@String{pub-STANFORD:adr        = "Stanford, CA, USA"}

@String{pub-SV                  = "Spring{\-}er-Ver{\-}lag"}
@String{pub-SV:adr              = "Berlin, Germany~/ Heidelberg,
                                  Germany~/ London, UK~/ etc."}

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@String{pub-WILEY:adr           = "New York, NY, USA"}

@String{pub-WORLD-SCI           = "World Scientific Publishing
                                  Co. Pte. Ltd."}
@String{pub-WORLD-SCI:adr       = "P. O. Box 128, Farrer Road,
                                  Singapore 9128"}

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@String{pub-U-TORONTO:adr       = "Toronto, ON, Canada"}

@String{pub-WRE                 = "Weapons Research Establishment"}
@String{pub-WRE:adr             = "Salisbury, Australia"}

%%% ====================================================================
%%% Series abbreviations:

@String{ser-LNCS                = "Lecture Notes in Computer Science"}

@String{ser-LNCSE               = "Lecture Notes in Computational
                                   Science and Engineering"}

@String{ser-LNM                 = "Lecture Notes in Mathematics"}

%%% ====================================================================
%%% Series abbreviations:

@String{ser-BOSTON-STUD-PHILOS-SCI = "Boston Studies in the Philosophy of
                                  Science"}

%%% ====================================================================
%%%         Part 1 (of 2): publications by Cornelius Lanczos
%%%
%%% Bibliography entries, sort by ascending year, and then by citation
%%% key with ``bibsort -byyear'.
%%%
%%% NB: See http://nektar1.oszk.hu/librivision_eng.html for an English
%%% interface into the Hungarian library catalog used to locate several
%%% entries in this bibliography.

@PhdThesis{Lanczos:1921:FBM,
  author =       "Cornelius Lanczos",
  title =        "{Die funktionentheoretischen Beziehungen der
                 Maxwellsche Aethergleichungen --- Ein Beitrag zur
                 Relativit{\"a}ts und Elektronentheorie}. ({German})
                 [{The} function-theoretical relationships of the
                 {Maxwellian} aether-equations --- {A} contribution to
                 the theory of relativity and electrons]",
  type =         "{Ph.D.} thesis",
  school =       "University of Szeged",
  address =      "Szeged, Hungary",
  year =         "1921",
  bibdate =      "Wed Jun 08 16:18:48 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Dedicated, with permission, to Albert Einstein.",
  acknowledgement = ack-nhfb,
  advisor =      "Rudolf Ortvay",
  keywords =     "Relativity and gravitational theory",
  language =     "German",
}

@Article{Lanczos:1922:BSW,
  author =       "Kornel Lanczos",
  title =        "{Bemerkung zur de Sitterschen Welt} ({German})
                 [{Remark} on the {de Sitter} universe]",
  journal =      j-PHYSIKAL-Z,
  volume =       "23",
  number =       "24",
  pages =        "539--543",
  day =          "15",
  month =        dec,
  year =         "1922",
  CODEN =        "PHZTAO",
  ISSN =         "0369-982X",
  bibdate =      "Thu Jun 09 18:07:54 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://hdl.handle.net/2027/mdp.39015086723239?urlappend=%3Bseq=627",
  acknowledgement = ack-nhfb,
  fjournal =     "Physikalische Zeitschrift",
  journal-URL =  "http://catalog.hathitrust.org/Record/000541302",
  language =     "German",
}

@Article{Lanczos:1922:VKE,
  author =       "Kornel Lanczos",
  title =        "{Ein vereinfchendes Koordinatensystem f{\"u}r die
                 Einsteinschen Gravitationsgleichungen} ({German}) [{A}
                 simplifying coordinate system for {Einstein}'s
                 equations of gravity]",
  journal =      j-PHYSIKAL-Z,
  volume =       "22",
  number =       "24",
  pages =        "537--539",
  day =          "15",
  month =        dec,
  year =         "1922",
  CODEN =        "PHZTAO",
  ISSN =         "0369-982X",
  bibdate =      "Thu Jun 09 18:05:37 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://hdl.handle.net/2027/mdp.39015086723239?urlappend=%3Bseq=625",
  acknowledgement = ack-nhfb,
  fjournal =     "Physikalische Zeitschrift",
  journal-URL =  "http://catalog.hathitrust.org/Record/000541302",
  language =     "German",
}

@Article{Lancius:1923:TEG,
  author =       "Kornel Lancius",
  title =        "{Zur Theorie der Einsteinschen
                 Gravitationsgleichungen}. ({German}) [{On} the theory
                 of {Einstein}'s Gravitational Equations]",
  journal =      j-Z-PHYSIK,
  volume =       "13",
  number =       "1",
  pages =        "7--16",
  month =        "????",
  year =         "1923",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/BF01328197",
  ISSN =         "0044-3328",
  bibdate =      "Thu Jun 09 15:46:23 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Published with family name ``Lancius'' (for Lanczos),
                 possibly a typographical, or audio transcription,
                 error.",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Phys.",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
}

@Article{Lanczos:1923:BTM,
  author =       "Kornel Lanczos",
  title =        "{Bemerkung zur Theorie der Merkurperihelverschiebung}.
                 ({German}) [{Remark} on the perihelion advance of
                 {Mercury}]",
  journal =      j-NATURWISSENSCHAFTEN,
  volume =       "11",
  number =       "45",
  pages =        "910--911",
  month =        "????",
  year =         "1923",
  CODEN =        "NATWAY",
  DOI =          "https://doi.org/10.1007/BF01551516",
  ISSN =         "0028-1042 (print), 1432-1904 (electronic)",
  ISSN-L =       "0028-1042",
  bibdate =      "Wed Jun 08 17:42:18 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Naturwissenschaften",
  journal-URL =  "http://link.springer.com/journal/114",
  language =     "German",
}

@Article{Lanczos:1923:RAR,
  author =       "Kornel Lanczos",
  title =        "{Zum Rotationsproblem der allgemeinen
                 Relativit{\"a}tstheorie }. ({German}) [{On} the
                 rotation problem in the {Theory of General
                 Relativity}]",
  journal =      j-Z-PHYSIK,
  volume =       "14",
  number =       "1",
  pages =        "204--219",
  month =        "????",
  year =         "1923",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/BF01340041",
  ISSN =         "0044-3328",
  bibdate =      "Thu Jun 09 15:46:23 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Phys.",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
}

@Article{Lanczos:1923:RSW,
  author =       "Kornel Lanczos",
  title =        "{{\"U}ber die Rotverschiebung in der de Sitterschen
                 Welt}. ({German}) [{On} the red shift in the {de
                 Sitter} universe]",
  journal =      j-Z-PHYSIK,
  volume =       "17",
  number =       "1",
  pages =        "168--189",
  month =        "????",
  year =         "1923",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/BF01328677",
  ISSN =         "0044-3328",
  bibdate =      "Thu Jun 09 15:26:52 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Phys.",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
}

@Article{Lanczos:1924:FVM,
  author =       "Kornel Lanczos",
  title =        "{Fl{\"a}chenhafte Verteilung der Materie in der
                 Einsteinschen Gravitationstheorie}. ({German})
                 [{Surface} Distribution of Matter in {Einstein}'
                 {Theory of Gravity}]",
  journal =      j-ANN-PHYS-1900,
  volume =       "74",
  number =       "5",
  pages =        "518--540",
  month =        "????",
  year =         "1924",
  DOI =          "https://doi.org/10.1002/andp.19243791403",
  ISSN =         "1521-3889",
  bibdate =      "Thu Jun 09 14:09:51 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Annalen der Physik (1900)",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-3889",
  language =     "German",
  wiley-volume = "379",
}

@Article{Lanczos:1924:SKI,
  author =       "Kornel Lanczos",
  title =        "{{\"U}ber eine station{\"a}re Kosmologie im Sinne der
                 Einsteinischen Gravitationstheorie}. ({German}) [{On} a
                 stationary cosmology in the sense of {Einstein}'s
                 {Theory of Gravitation}]",
  journal =      j-Z-PHYSIK,
  volume =       "21",
  number =       "1",
  pages =        "73--110",
  month =        "????",
  year =         "1924",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/BF01328251",
  ISSN =         "0044-3328",
  bibdate =      "Wed Jun 08 14:25:20 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "English translation in \cite{Lanczos:1997:SCS}.",
  URL =          "http://adsabs.harvard.edu/abs/1924ZPhy...21...73L",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Phys.",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
}

@Article{Lancius:1925:AVA,
  author =       "Kornel Lancius",
  title =        "{Zum Anwendung des Variationsprinzip in der
                 allgemeinen Relativit{\"a}tstheorie}. ({German}) [{On}
                 the application of a variational principle in {General
                 Relativity}]",
  journal =      "Acta Litt. Adac. Scient. Regiae Univ. Hung.
                 Francisco-Josephina",
  volume =       "1--2",
  number =       "??",
  pages =        "182--192",
  month =        "????",
  year =         "1925",
  bibdate =      "Thu Jun 09 18:12:25 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  language =     "German",
}

@Article{Lanczos:1925:PAR,
  author =       "Kornel Lanczos",
  title =        "{Zum Problem der {\"A}therstrahlung in einer
                 r{\"a}umlich geschossenen Welt}. ({German}) [{On} the
                 Problem of Aether Radiation in a Spatially-Closed
                 Universe]",
  journal =      j-Z-PHYSIK,
  volume =       "32",
  number =       "1",
  pages =        "135--149",
  month =        "????",
  year =         "1925",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/BF01331654",
  ISSN =         "0044-3328",
  bibdate =      "Thu Jun 09 14:14:49 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Phys.",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
}

@Article{Lanczos:1925:PUS,
  author =       "Kornel Lanczos",
  title =        "{Zum Problem der unendlich schwachen Felder in der
                 Einsteinschen Gravitationstheorie}. ({German}) [{On}
                 the problem of the infinitely weak fields in the
                 {Einstein} {Theory of Gravitation}]",
  journal =      j-Z-PHYSIK,
  volume =       "31",
  number =       "1",
  pages =        "112--132",
  month =        "????",
  year =         "1925",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/BF02980566",
  ISSN =         "0044-3328",
  bibdate =      "Thu Jun 09 15:24:51 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Phys.",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
}

@Article{Lanczos:1925:QUK,
  author =       "Kornel Lanczos",
  title =        "{{\"U}ber die quantentheoretische Umdeutung
                 kinematischer und meckanischer Beziehungen}. ({German})
                 [{Quantum}-theoretical Reinterpretation of Kinematics
                 and Mechanical Relations]",
  journal =      j-Z-PHYSIK,
  volume =       "33",
  number =       "12",
  pages =        "879--893",
  day =          "18",
  month =        sep,
  year =         "1925",
  CODEN =        "ZEPYAA",
  ISSN =         "0044-3328",
  bibdate =      "Thu Jun 09 14:14:49 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Phys.",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
}

@Article{Lanczos:1925:SEM,
  author =       "Kornel Lanczos",
  title =        "{Station{\"a}re Elektronenbahnen und die Methode der
                 Eigenfunktionen}. ({German}) [{Stationary} Electron
                 Trajectories and the Method of Eigenfunctions]",
  journal =      j-Z-PHYSIK,
  volume =       "33",
  number =       "1",
  pages =        "128--143",
  month =        "????",
  year =         "1925",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/BF01328297",
  ISSN =         "0044-3328",
  bibdate =      "Thu Jun 09 14:14:49 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Phys.",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
}

@Article{Lanczos:1925:WAR,
  author =       "Kornel Lanczos",
  title =        "{Zum Wirkungsprinzip der allgemeinen
                 Relativit{\"a}tstheorie}. ({German}) [{On} the action
                 principle of the {Theory of General Relativity}]",
  journal =      j-Z-PHYSIK,
  volume =       "32",
  number =       "1",
  pages =        "163--172",
  month =        "????",
  year =         "1925",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/BF01331657",
  ISSN =         "0044-3328",
  bibdate =      "Thu Jun 09 15:37:02 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Phys.",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
}

@Article{Lanczos:1925:ZPW,
  author =       "Kornel Lanczos",
  title =        "{{\"U}ber eine zeitlich periodische Welt und eine neue
                 Behandlung des Problems der {\"A}therstrahlung}.
                 ({German}) [{On} a Universe Periodic in Time and a New
                 Treatment of the Problem of Aether Radiation]",
  journal =      j-Z-PHYSIK,
  volume =       "32",
  number =       "1",
  pages =        "56--80",
  month =        "????",
  year =         "1925",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/BF01331648",
  ISSN =         "0044-3328",
  bibdate =      "Thu Jun 09 14:12:15 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Phys.",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
}

@Article{Lanczos:1926:FDN,
  author =       "Kornel Lanczos",
  title =        "{{\"U}ber eine feldm{\"a}{\ss}ige Darstellung der
                 neuen Quantenmechanik}. ({German}) [{On} a
                 Field-Theoretical Representation of the New Quantum
                 Mechanics]",
  journal =      j-Z-PHYSIK,
  volume =       "35",
  number =       "11--12",
  pages =        "812--830",
  day =          "26",
  month =        feb,
  year =         "1926",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/BF01379857",
  ISSN =         "0044-3328",
  bibdate =      "Thu Jun 09 14:14:49 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Phys.",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
  received =     "22 December 1925",
}

@Article{Lanczos:1926:KBQ,
  author =       "Kornel Lanczos",
  title =        "{{\"U}ber die komplexe Beschaffenheit der
                 quantenmechanischen Matrizen}. ({German}) [{On} the
                 complex nature of the matrices in quantum mechanics]",
  journal =      j-Z-PHYSIK,
  volume =       "37",
  number =       "6",
  pages =        "405--413",
  month =        "????",
  year =         "1926",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/BF01397612",
  ISSN =         "0044-3328",
  bibdate =      "Thu Jun 09 15:39:33 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Phys.",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
}

@Article{Lanczos:1926:TIG,
  author =       "Kornel Lanczos",
  title =        "{{\"U}ber tensorielle Integralgleichungen}. ({German})
                 [{On} tensorial integral equations]",
  journal =      j-MATH-ANN,
  volume =       "95",
  number =       "1",
  pages =        "143--153",
  year =         "1926",
  CODEN =        "MAANA3",
  DOI =          "https://doi.org/10.1007/BF01206603",
  ISSN =         "0025-5831 (print), 1432-1807 (electronic)",
  ISSN-L =       "0025-5831",
  bibdate =      "Thu Jun 09 17:01:14 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematische Annalen",
  journal-URL =  "http://link.springer.com/journal/208",
  keyword =      "Mathematics and Statistics",
  language =     "German",
}

@Article{Lanczos:1926:VQN,
  author =       "Kornel Lanczos",
  title =        "{Variationsprinzip und Quantenbedingung in der neuen
                 Quantenmechanik}. ({German}) [{Variation} principle and
                 quantum conditions in the new quantum mechanics]",
  journal =      j-Z-PHYSIK,
  volume =       "36",
  number =       "6",
  pages =        "401--409",
  month =        "????",
  year =         "1926",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/BF01382945",
  ISSN =         "0044-3328",
  bibdate =      "Thu Jun 09 15:29:08 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Phys.",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
}

@Article{Lanczos:1927:BAR,
  author =       "Kornel Lanczos",
  title =        "{Zum Bewegungsprinzip der allgemeinen
                 Relativit{\"a}tstheorie}. ({German}) [{On} the
                 Principle of Motion of the {Theory of General
                 Relativity}]",
  journal =      j-PHYSIKAL-Z,
  volume =       "28",
  number =       "??",
  pages =        "723--726",
  month =        "????",
  year =         "1927",
  CODEN =        "PHZTAO",
  ISSN =         "0369-982X",
  bibdate =      "Thu Jun 09 14:51:04 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Physikalische Zeitschrift",
  journal-URL =  "http://catalog.hathitrust.org/Record/000541302",
  language =     "German",
  remark =       "After this paper, Lanczos spelled his given name as
                 Cornel.",
}

@Article{Lanczos:1927:DAR,
  author =       "Kornel Lanczos",
  title =        "{Zur Dynamik der allgemeinen Relativit{\"a}tstheorie}.
                 ({German}) [{On} the Dynamics of the {Theory of General
                 Relativity}]",
  journal =      j-Z-PHYSIK,
  volume =       "44",
  number =       "11--12",
  pages =        "773--792",
  month =        "????",
  year =         "1927",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/BF01390854",
  ISSN =         "0044-3328",
  bibdate =      "Thu Jun 09 14:51:04 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Phys.",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
}

@Article{Lanczos:1929:EFD,
  author =       "Cornel Lanczos",
  title =        "{Die Erhaltungss{\"a}tze in der feldm{\"a}{\ss}igen
                 Darstellung der Diracschen Theorie}. ({German})
                 [{Conservation} laws in the field-theoretical
                 representation of {Dirac}'s theory]",
  journal =      j-Z-PHYSIK,
  volume =       "57",
  number =       "7--8",
  pages =        "484--493",
  month =        "????",
  year =         "1929",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/BF01340276",
  ISSN =         "0044-3328",
  bibdate =      "Wed Jun 08 16:26:33 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Phys.",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
}

@Article{Lanczos:1929:KFD,
  author =       "Cornel Lanczos",
  title =        "{Zur kovarianten Formulierung der Diracschen
                 Gleichung}. ({German}) [{On} a covariant formulation of
                 {Dirac}' Equation]",
  journal =      j-Z-PHYSIK,
  volume =       "57",
  number =       "7--8",
  pages =        "474--483",
  month =        "????",
  year =         "1929",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/BF01340275",
  ISSN =         "0044-3328",
  bibdate =      "Wed Jun 08 16:27:56 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  ZMnumber =     "JFM 55.0515.06",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Phys.",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
}

@Article{Lanczos:1929:MEI,
  author =       "L{\'a}nczos{ }Korn{\'e}l",
  title =        "A megmarad{\'a}si elvek invari{\'a}ns fogalmaz{\'a}sa
                 az {\'a}ltal{\'a}nos relativit{\'a}si elm{\'e}letben.
                 ({Hungarian}) [{An} Invariant formulation of the
                 conservation laws in the {Theory of General
                 Relativity}]",
  journal =      "A Magyar Tudom{\'a}nyos Akad{\'e}mia. III
                 Oszt{\'a}ly{\'a}nak K{\"o}zlem{\'e}nyei",
  volume =       "46",
  number =       "??",
  pages =        "554--575",
  month =        "????",
  year =         "1929",
  bibdate =      "Thu Jun 09 18:15:30 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  language =     "Hungarian",
}

@Article{Lanczos:1929:TBD,
  author =       "Cornel Lanczos",
  title =        "{Die tensoranalytischen Beziehungen der Diracschen
                 Gleichung}. ({German}) [{The} tensor-analytical
                 relationships of {Dirac}'s Equation]",
  journal =      j-Z-PHYSIK,
  volume =       "57",
  number =       "7--8",
  pages =        "447--473",
  month =        "????",
  year =         "1929",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/BF01340274",
  ISSN =         "0044-3328",
  bibdate =      "Wed Jun 08 16:29:27 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Phys.",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
  remark =       "Contains brief account of Lanczos's Ph.D. thesis
                 \cite{Lanczos:1921:FBM}.",
}

@Article{Lanczos:1930:DWT,
  author =       "Cornelius Lanczos",
  title =        "{Dirac's wellenmechanische Theorie des Elektrons und
                 ihre feldtheoretische Ausgestaltung}. ({German})
                 [{Dirac}'s wave-mechanical theory of the electron and
                 its field-theoretical interpretation]",
  journal =      j-PHYSIKAL-Z,
  volume =       "31",
  number =       "??",
  pages =        "120--130",
  month =        "????",
  year =         "1930",
  CODEN =        "PHZTAO",
  ISSN =         "0369-982X",
  bibdate =      "Wed Jun 08 16:36:37 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Physikalische Zeitschrift",
  journal-URL =  "http://catalog.hathitrust.org/Record/000541302",
  language =     "German",
}

@Article{Lanczos:1930:IFE,
  author =       "Cornel Lanczos",
  title =        "{{\"U}ber eine invariante Formulierung der
                 Erhaltungss{\"a}tze in der allgemeinen
                 Relativit{\"a}tstheorie}. ({German}) [{On} an invariant
                 formulation of the conservation laws in the {Theory of
                 General Relativity} ]",
  journal =      j-Z-PHYSIK,
  volume =       "59",
  number =       "7--8",
  pages =        "514--539",
  month =        "????",
  year =         "1930",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/BF01336958",
  ISSN =         "0044-3328",
  bibdate =      "Thu Jun 09 15:30:44 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Phys.",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
}

@Article{Lanczos:1930:ISL,
  author =       "Cornel Lanczos",
  title =        "{Zur Intensit{\"a}tsanomalie der Starkeffekt-Linien in
                 sehr starken Feldern}. ({German}) [{On} the anomalous
                 intensity of the Stark-effect lines in very strong
                 fields]",
  journal =      j-NATURWISSENSCHAFTEN,
  volume =       "18",
  number =       "15",
  pages =        "329--330",
  month =        "????",
  year =         "1930",
  CODEN =        "NATWAY",
  DOI =          "https://doi.org/10.1007/BF01494973",
  ISSN =         "0028-1042 (print), 1432-1904 (electronic)",
  ISSN-L =       "0028-1042",
  bibdate =      "Wed Jun 08 16:35:38 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  ZMnumber =     "JFM 56.0763.22",
  acknowledgement = ack-nhfb,
  fjournal =     "Naturwissenschaften",
  journal-URL =  "http://link.springer.com/journal/114",
  language =     "German",
}

@Article{Lanczos:1930:TSH,
  author =       "Cornel Lanczos",
  title =        "{Zur Theorie des Starkeffekts in hohen Feldern}.
                 ({German}) [{On} the theory of the {Stark} effect in
                 high fields]",
  journal =      j-Z-PHYSIK,
  volume =       "62",
  number =       "7--8",
  pages =        "518--544",
  month =        "????",
  year =         "1930",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/BF01339678",
  ISSN =         "0044-3328",
  bibdate =      "Thu Jun 09 15:34:54 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Phys.",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
}

@Article{Lanczos:1930:VWH,
  author =       "C. Lanczos",
  title =        "{Zur Verschiebung der Wasserstoffterme in hohen
                 elektrischen Feldern}. ({German}) [{On} the shift of
                 the hydrogen terms in strong electrical fields]",
  journal =      j-Z-PHYSIK,
  volume =       "65",
  number =       "7--8",
  pages =        "431--455",
  month =        "????",
  year =         "1930",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/BF01397042",
  ISSN =         "0044-3328",
  bibdate =      "Wed Jun 08 16:37:21 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  ZMnumber =     "JFM 56.0749.04",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Phys.",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
}

@Article{Lanczos:1931:EFN,
  author =       "Cornelius Lanczos",
  title =        "The electromagnetic field as a natural property of
                 {Riemannian} geometry",
  journal =      j-BULL-AMS,
  volume =       "37",
  number =       "??",
  pages =        "829--829",
  month =        "????",
  year =         "1931",
  CODEN =        "BAMOAD",
  DOI =          "https://doi.org/10.1063/1.1705286",
  ISSN =         "0002-9904 (print), 1936-881X (electronic)",
  ISSN-L =       "0002-9904",
  bibdate =      "Wed Jun 08 16:42:22 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  ZMnumber =     "JFM 57.1205.03",
  acknowledgement = ack-nhfb,
  fjournal =     "Bulletin of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/bull/all_issues.html",
}

@Article{Lanczos:1931:ISH,
  author =       "Cornel Lanczos",
  title =        "{Zur Intensit{\"a}tsschw{\"a}chung der Spektrallinien
                 in hohen elektrischen Feldern}. ({German}) [{On}
                 intensity weakening of spectral lines in strong
                 electrical fields]",
  journal =      j-Z-PHYSIK,
  volume =       "68",
  number =       "3--4",
  pages =        "204--232",
  month =        "????",
  year =         "1931",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/BF01390967",
  ISSN =         "0044-3328",
  bibdate =      "Thu Jun 09 15:32:21 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Phys.",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
}

@Article{Lanczos:1931:NFE,
  author =       "Cornel Lanczos",
  title =        "{Die neue Feldtheorie Einsteins}. ({German})
                 [{Einstein}'s new field theory]",
  journal =      j-ERGEB-EXAKTEN-NATURWISS,
  volume =       "10",
  number =       "??",
  pages =        "97--132",
  month =        "????",
  year =         "1931",
  CODEN =        "EENAA3",
  ISSN =         "0367-0325",
  bibdate =      "Wed Jun 08 16:43:12 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Ergebnisse der Exakten Naturwissenschaften",
  language =     "German",
}

@Article{Lanczos:1932:AVR,
  author =       "Cornel Lanczos",
  title =        "{Zum Auftreten des Vektorpotentials in der
                 Riemannschen Geometrie}. ({German}) [{on} the
                 appearance of the vector potential in {Riemannian}
                 geometry]",
  journal =      j-Z-PHYSIK,
  volume =       "75",
  number =       "1--2",
  pages =        "63--77",
  month =        "????",
  year =         "1932",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/BF01340514",
  ISSN =         "0044-3328",
  bibdate =      "Wed Jun 08 16:34:07 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Phys.",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
}

@Article{Lanczos:1932:EIS,
  author =       "Cornelius Lanczos",
  title =        "Ether --- Is It a Substance?",
  journal =      "The Purdue Engineer",
  volume =       "29",
  number =       "??",
  pages =        "87--102",
  month =        "????",
  year =         "1932",
  bibdate =      "Thu Jun 09 18:26:00 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Lanczos:1932:ENEa,
  author =       "Cornel Lanczos",
  title =        "{Elektromagnetismus als nat{\"u}rliche Eigenschaft der
                 Riemannschen Geometrie }. ({German})
                 [{Electromagnetism} as a natural property of {Riemann}
                 geometry]",
  journal =      j-Z-PHYSIK,
  volume =       "73",
  number =       "3--4",
  pages =        "147--168",
  month =        "????",
  year =         "1932",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/BF01351210",
  ISSN =         "0044-3328",
  bibdate =      "Thu Jun 09 15:41:29 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Phys.",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
}

@Article{Lanczos:1932:ENEb,
  author =       "Cornelius Lanczos",
  title =        "Electricity as a natural element of {Riemannian}
                 geometry",
  journal =      j-PHYS-REV-2,
  volume =       "39",
  number =       "1",
  pages =        "188--188",
  month =        jan,
  year =         "1932",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/PhysRev.39.175",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  bibdate =      "Wed Jun 08 16:34:45 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://prola.aps.org/abstract/PR/v39/i1/p175_1",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review (2)",
  journal-URL =  "http://prola.aps.org/browse/PR",
}

@Article{Lanczos:1932:ENP,
  author =       "Cornelius Lanczos",
  title =        "Electricity as a natural property of {Riemannian}
                 geometry",
  journal =      j-PHYS-REV-2,
  volume =       "39",
  number =       "4",
  pages =        "716--736",
  month =        feb,
  year =         "1932",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/PhysRev.39.716",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  bibdate =      "Wed Jun 08 16:34:45 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://link.aps.org/doi/10.1103/PhysRev.39.716",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review (2)",
  journal-URL =  "http://prola.aps.org/browse/PR",
}

@Article{Lanczos:1932:FRL,
  author =       "Cornel Lanczos",
  title =        "{Zur Frage der regul{\"a}ren L{\"o}sungen der
                 Einsteinschen Gravitationsgleichungen}. ({German})
                 [{On} the problem of the regular solutions of
                 {Einstein}'s equations of gravity]",
  journal =      j-ANN-PHYS-5,
  volume =       "13",
  number =       "5",
  pages =        "621--635",
  month =        "????",
  year =         "1932",
  CODEN =        "ANPYA2",
  DOI =          "https://doi.org/10.1002/andp.19324050506",
  ISSN =         "0003-3804 (print), 1521-3889 (electronic)",
  bibdate =      "Thu Jun 09 18:21:55 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Annalen der Physik 5 (Berlin, Germany)",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-3889",
  language =     "German",
  wiley-volume = "405",
}

@Article{Lanczos:1932:SRA,
  author =       "Cornel Lanczos",
  title =        "{Stellung der Relativit{\"a}tstheorie zu andern
                 physikalischen Theorien}. ({German}) [{The} position of
                 {Relativity Theory} to others physical theories]",
  journal =      j-NATURWISSENSCHAFTEN,
  volume =       "20",
  number =       "7",
  pages =        "113--116",
  month =        "????",
  year =         "1932",
  CODEN =        "NATWAY",
  DOI =          "https://doi.org/10.1007/BF01503458",
  ISSN =         "0028-1042 (print), 1432-1904 (electronic)",
  ISSN-L =       "0028-1042",
  bibdate =      "Wed Jun 08 16:32:54 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Naturwissenschaften",
  journal-URL =  "http://link.springer.com/journal/114",
  language =     "German",
}

@Article{Lanczos:1933:FCB,
  author =       "Cornelius Lanczos",
  title =        "A fundamental connection between {Hamiltonian}
                 dynamics and wave mechanics",
  journal =      j-PHYS-REV,
  volume =       "44",
  number =       "4",
  pages =        "318--318",
  month =        aug,
  year =         "1933",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/PhysRev.44.313",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  bibdate =      "Mon Jun 20 14:54:37 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Abstract of talk.",
  URL =          "http://link.aps.org/doi/10.1103/PhysRev.44.313",
  abstract =     "Field equations which are deduced from a variational
                 principle can be considered in the function space to
                 represent the dynamical problem of a moving mass point.
                 The variational principle is the ``Hamiltonian
                 principle'' of this dynamics. The Lagrangian equations
                 of motion are equivalent to the given system of field
                 equations. Introducing instead of Lagrange's dynamics,
                 Hamilton's dynamics the canonical equations of motion
                 and canonical transformations are obtained: they are
                 equations of first order while the number of variables
                 is doubled. The possibility of canonical
                 transformations can be used for prescribing special
                 requirements that the Hamiltonian function shall
                 satisfy. We require that the canonical equations of
                 motion shall form a self-adjoint system of differential
                 equations. The 4 field equations of the vector
                 potential may then be written as 2 complex equations of
                 second order. The coordinated canonical equations of
                 motion in the Hamiltonian dynamics of the function
                 space result in a system of 4 complex equations of
                 first order: they are Dirac's equation of a free
                 electron.",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review",
  journal-URL =  "http://prola.aps.org/browse/PR",
}

@Article{Lanczos:1933:HDF,
  author =       "Cornel Lanczos",
  title =        "{Zur Hamiltonschen Dynamik des Funktionenraumes}.
                 ({German}) [{On} the {Hamiltonian} dynamics of function
                 spaces]",
  journal =      j-Z-PHYSIK,
  volume =       "85",
  number =       "1--2",
  pages =        "107--127",
  month =        "????",
  year =         "1933",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/BF01330781",
  ISSN =         "0044-3328",
  bibdate =      "Wed Jun 08 16:46:08 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Phys.",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
}

@Article{Lanczos:1933:WHD,
  author =       "Cornel Lanczos",
  title =        "{Die Wellenmechanik als Hamiltonsche Dynamik des
                 funktionenraumes. Eine neue Ableitung der Diracschen
                 Gleichung}. ({German}) [{Wave} mechanics as the
                 {Hamiltonian} dynamics of the function space: a new
                 derivation of the {Dirac Equation}]",
  journal =      j-Z-PHYSIK,
  volume =       "81",
  number =       "11--12",
  pages =        "703--732",
  month =        "????",
  year =         "1933",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/BF01342068",
  ISSN =         "0044-3328",
  bibdate =      "Wed Jun 08 16:47:13 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Phys.",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
}

@Article{Lanczos:1934:NTL,
  author =       "Cornel Lanczos",
  title =        "{Eine neue Transformationstheorie linearer kanonischer
                 Gleichungen}. ({German}) [{A} new transformation theory
                 of linear canonical equations]",
  journal =      j-ANN-PHYS-5,
  volume =       "20",
  number =       "6",
  pages =        "653--688",
  month =        "????",
  year =         "1934",
  CODEN =        "ANPYA2",
  DOI =          "https://doi.org/10.1002/andp.19344120608",
  ISSN =         "0003-3804 (print), 1521-3889 (electronic)",
  bibdate =      "Wed Jun 08 16:49:07 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Annalen der Physik 5 (Berlin, Germany)",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-3889",
  language =     "German",
  wiley-volume = "412",
}

@Article{Lanczos:1934:NTT,
  author =       "Cornelius Lanczos",
  title =        "A new transformation theory of linear canonical
                 equations",
  journal =      j-PHYS-REV,
  volume =       "45",
  number =       "8",
  pages =        "560--560",
  month =        apr,
  year =         "1934",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/PhysRev.45.558",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  bibdate =      "Thu Jun 09 18:27:14 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Abstract only.",
  URL =          "http://prola.aps.org/abstract/PR/v45/i8/p558_1",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review",
  journal-URL =  "http://prola.aps.org/browse/PR",
}

@Article{Lanczos:1935:NAM,
  author =       "Cornelius Lanczos",
  title =        "A new approximation method in solving linear
                 differential equations with non-oscillating
                 coefficients",
  journal =      j-BULL-AMS,
  volume =       "41",
  number =       "??",
  pages =        "183--185",
  month =        "????",
  year =         "1935",
  CODEN =        "BAMOAD",
  ISSN =         "0002-9904 (print), 1936-881X (electronic)",
  ISSN-L =       "0002-9904",
  bibdate =      "Wed Jun 08 16:51:08 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Bulletin of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/bull/all_issues.html",
}

@Article{Lanczos:1935:NAW,
  author =       "Cornel Lanczos",
  title =        "{Ein neuer Aufbau der Weltgeometrie}. ({German}) [{A}
                 new formulation of world geometry]",
  journal =      j-Z-PHYSIK,
  volume =       "96",
  number =       "1--2",
  pages =        "76--106",
  month =        "????",
  year =         "1935",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/BF01341506",
  ISSN =         "0044-3328",
  bibdate =      "Wed Jun 08 16:50:30 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Phys.",
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
}

@Article{Lanczos:1936:NAM,
  author =       "Cornelius Lanczos",
  title =        "A new approximation method in solving linear
                 differential equations with rational coefficients",
  journal =      j-BULL-AMS,
  volume =       "42",
  number =       "??",
  pages =        "30--30",
  month =        "????",
  year =         "1936",
  CODEN =        "BAMOAD",
  ISSN =         "0002-9904 (print), 1936-881X (electronic)",
  ISSN-L =       "0002-9904",
  bibdate =      "Wed Jun 08 16:52:27 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  ZMnumber =     "JFM 62.0645.14",
  acknowledgement = ack-nhfb,
  fjournal =     "Bulletin of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/bull/all_issues.html",
}

@Article{Lanczos:1936:SRM,
  author =       "Cornelius Lanczos",
  title =        "A simple recursion method for solving a set of linear
                 equations",
  journal =      j-BULL-AMS,
  volume =       "42",
  number =       "??",
  pages =        "325--325",
  month =        "????",
  year =         "1936",
  CODEN =        "BAMOAD",
  ISSN =         "0002-9904 (print), 1936-881X (electronic)",
  ISSN-L =       "0002-9904",
  bibdate =      "Wed Jun 08 16:52:27 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  ZMnumber =     "JFM 62.0645.13",
  acknowledgement = ack-nhfb,
  fjournal =     "Bulletin of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/bull/all_issues.html",
}

@Unpublished{Lanczos:1937:PAR,
  author =       "Cornelius Lanczos",
  title =        "The philosophical aspects of {Relativity}",
  pages =        "1--24",
  year =         "1937",
  LCCN =         "QC6 .L25 1937",
  bibdate =      "Thu Jun 09 18:28:42 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Two lectures delivered by invitation on March 2 and 4,
                 1937 in the course {\em Life Views of Great Men of
                 Science}, Philosophy 143b at Indiana University",
  URL =          "http://catalog.hathitrust.org/Record/000483261",
  acknowledgement = ack-nhfb,
  subject-dates = "Albert Einstein (1879--1955)",
}

@Article{Lanczos:1938:RPR,
  author =       "Cornelius Lanczos",
  title =        "A remarkable property of the {Riemann--Christoffel}
                 tensor in four dimensions",
  journal =      j-ANN-MATH-2,
  volume =       "39",
  number =       "4",
  pages =        "842--850",
  year =         "1938",
  CODEN =        "ANMAAH",
  DOI =          "https://doi.org/10.2307/1968467",
  ISSN =         "0003-486X (print), 1939-8980 (electronic)",
  ISSN-L =       "0003-486X",
  MRclass =      "Contributed Item",
  MRnumber =     "1503440",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  ZMnumber =     "JFM 64.0767.03",
  acknowledgement = ack-nhfb,
  fjournal =     "Annals of Mathematics. Second Series",
  journal-URL =  "http://www.jstor.org/action/showPublication?journalCode=annamath",
}

@Unpublished{Lanczos:1938:SIM,
  author =       "C. Lanczos",
  title =        "A simple interpolation method for the representation
                 of rugged curves",
  month =        nov,
  year =         "1938",
  bibdate =      "Sun Jun 19 16:04:16 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Abstract of contributed paper given at the November
                 Meeting of the AMS in Cleveland, OH, November 25 -26,
                 1938.",
  acknowledgement = ack-nhfb,
}

@Article{Lanczos:1938:TIE,
  author =       "C. Lanczos",
  title =        "Trigonometric Interpolation of Empirical and
                 Analytical Functions",
  journal =      j-J-MATH-PHYS-MIT,
  volume =       "17",
  number =       "??",
  pages =        "123--199",
  month =        "????",
  year =         "1938",
  CODEN =        "JMPHA9",
  ISSN =         "0097-1421",
  bibdate =      "Wed Jun 8 17:01:15 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  ZMnumber =     "Zbl 0020.01301",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of mathematics and physics / Massachusetts
                 Institute of Technology",
  remark =       "This paper is the origin of the Lanczos {\em tau}
                 method (called the {\em telescoping method} by Lanczos
                 in later papers). According to the biography in
                 \cite[p. xxvii]{Brown:1994:PCL}, for some functions,
                 the method produced approximations a million times
                 better than traditional approaches. See, however,
                 remarks in
                 \cite{Coleman:1976:LTM,Hazewinkel:2002:EM}.",
}

@Article{Lanczos:1939:ATI,
  author =       "C. Lanczos and G. C. Danielson",
  title =        "Application of trigonometric interpolation to {X}-ray
                 analysis",
  journal =      j-PHYS-REV,
  volume =       "55",
  number =       "2",
  pages =        "242--242",
  month =        jan,
  year =         "1939",
  CODEN =        "PHRVAO",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  bibdate =      "Thu Jun 09 18:30:33 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Abstract of talk.",
  abstract =     "The integral representing the intensity distribution
                 of x-ray [sic] diffraction in liquids can be evaluated
                 by the method of trigonometric interpolation instead of
                 approximating the integral by the sum of a large number
                 of terms. This reduces considerably the number of
                 ordinates required in the calculation without
                 decreasing the accuracy. As an example, the diffraction
                 patterns of vitreous selenium and liquid KCl and LiCI,
                 obtained and analyzed by K. Lark-Horovitz and E. P.
                 Miller, have been interpreted. For the curves so far
                 analyzed, 36 ordinates were found to be sufficient.
                 Owing to symmetry properties the Fourier coefficients
                 can be found with a minimum of calculation. This yields
                 directly the value of the distribution function in
                 discrete equidistant points. The value of the function
                 for any intermediate point may then be determined in a
                 simple manner by pure calculation. The resulting curves
                 agree very closely with those obtained by Lark-Horovitz
                 and Miller.",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review",
  journal-URL =  "http://prola.aps.org/browse/PR",
}

@Article{Lanczos:1941:DPG,
  author =       "C. Lanczos",
  title =        "The dynamics of a particle in {General Relativity}",
  journal =      j-PHYS-REV-2,
  volume =       "59",
  number =       "10",
  pages =        "813--819",
  month =        may,
  year =         "1941",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/PhysRev.59.813",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  MRclass =      "70.1X",
  MRnumber =     "0004142 (2,326i)",
  MRreviewer =   "A. H. Taub",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 SAO/NASA Astrophysics Data System",
  URL =          "http://adsabs.harvard.edu/abs/1941PhRv...59..813L;
                 http://link.aps.org/doi/10.1103/PhysRev.59.813",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review (2)",
  journal-URL =  "http://prola.aps.org/browse/PR",
}

@Article{Lanczos:1941:TMP,
  author =       "Cornelius Lanczos",
  title =        "The total mass of a particle in {General Relativity}",
  journal =      j-PHYS-REV-2,
  volume =       "59",
  number =       "9",
  pages =        "708--716",
  month =        may,
  year =         "1941",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/PhysRev.59.708",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  bibdate =      "Wed Jun 08 16:56:12 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://link.aps.org/doi/10.1103/PhysRev.59.708",
  ZMnumber =     "Zbl 0025.12901",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review (2)",
  journal-URL =  "http://prola.aps.org/browse/PR",
}

@Article{Danielson:1942:SIPa,
  author =       "Gordon C. Danielson and Cornelius Lanczos",
  title =        "Some improvements in practical {Fourier} analysis and
                 their application to {X-ray} scattering from liquids",
  journal =      j-J-FRANKLIN-INST,
  volume =       "233",
  number =       "4",
  pages =        "365--380",
  month =        apr,
  year =         "1942",
  CODEN =        "JFINAB",
  DOI =          "https://doi.org/10.1016/S0016-0032(42)90767-1",
  ISSN =         "0016-0032 (print), 1879-2693 (electronic)",
  ISSN-L =       "0016-0032",
  MRclass =      "65.0X",
  MRnumber =     "0006233 (3,276f)",
  MRreviewer =   "W. Feller",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Gordon C. Danielson (1912--1983); Cornelius Lanczos
                 (1893--1974)",
  fjournal =     "Journal of the Franklin Institute",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00160032",
  keywords =     "Fast Fourier Transform",
  xxnumber =     "??",
}

@Article{Danielson:1942:SIPb,
  author =       "Gordon C. Danielson and Cornelius Lanczos",
  title =        "Some improvements in practical {Fourier} analysis and
                 their application to {X-ray} scattering from liquids",
  journal =      j-J-FRANKLIN-INST,
  volume =       "233",
  number =       "5",
  pages =        "435--452",
  month =        may,
  year =         "1942",
  CODEN =        "JFINAB",
  DOI =          "https://doi.org/10.1016/S0016-0032(42)90624-0",
  ISSN =         "0016-0032 (print), 1879-2693 (electronic)",
  ISSN-L =       "0016-0032",
  MRclass =      "65.0X",
  MRnumber =     "0006233 (3,276f)",
  MRreviewer =   "W. Feller",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Gordon C. Danielson (1912--1983); Cornelius Lanczos
                 (1893--1974)",
  fjournal =     "Journal of the Franklin Institute",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00160032",
  keywords =     "Fast Fourier Transform",
  xxnumber =     "??",
}

@Article{Lanczos:1942:DR,
  author =       "Cornelius Lanczos",
  title =        "{Dynamic Relativity}",
  journal =      "Main Currents in Modern Thought",
  volume =       "3",
  number =       "??",
  pages =        "4--7",
  month =        "????",
  year =         "1942",
  CODEN =        "????",
  ISSN =         "0025-0570",
  LCCN =         "AP2 .M252",
  bibdate =      "Mon Jun 20 15:00:01 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Unpublished{Lanczos:1942:HMP,
  author =       "Cornelius Lanczos",
  title =        "The History of Mathematics, Part 1, Prologue",
  year =         "1942",
  bibdate =      "Thu Jun 09 17:22:32 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Unpublished lecture notes, Purdue University Library,
                 West Lafayette, IN, 47907, USA, and D. H. Hill Library,
                 North Carolina State University, Raleigh, NC,
                 27695-8202, USA.",
  acknowledgement = ack-nhfb,
}

@Article{Lanczos:1942:MWE,
  author =       "Cornelius Lanczos",
  title =        "Matter waves and electricity",
  journal =      j-PHYS-REV-2,
  volume =       "61",
  number =       "11--12",
  pages =        "713--720",
  month =        jun,
  year =         "1942",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/PhysRev.61.713",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  MRclass =      "83.0X",
  MRnumber =     "0006883 (4,56e)",
  MRreviewer =   "A. H. Taub",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://link.aps.org/doi/10.1103/PhysRev.61.713",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review (2)",
  journal-URL =  "http://prola.aps.org/browse/PR",
}

@Article{Lanczos:1949:LMR,
  author =       "Cornelius Lanczos",
  title =        "{Lagrangian} multiplier and {Riemannian} spaces",
  journal =      j-REV-MOD-PHYS,
  volume =       "21",
  number =       "3",
  pages =        "497--502",
  month =        jul,
  year =         "1949",
  CODEN =        "RMPHAT",
  DOI =          "https://doi.org/10.1103/RevModPhys.21.497",
  ISSN =         "0034-6861 (print), 1538-4527 (electronic), 1539-0756",
  ISSN-L =       "0034-6861",
  MRclass =      "83.0X",
  MRnumber =     "0034136 (11,548c)",
  MRreviewer =   "M. Pinl",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://link.aps.org/doi/10.1103/RevModPhys.21.497",
  acknowledgement = ack-nhfb,
  fjournal =     "Reviews of Modern Physics",
  journal-URL =  "http://rmp.aps.org/browse",
}

@Book{Lanczos:1949:VPM,
  author =       "Cornelius Lanczos",
  title =        "The Variational Principles of Mechanics",
  volume =       "4",
  publisher =    pub-U-TORONTO,
  address =      pub-U-TORONTO:adr,
  pages =        "xxv + 307",
  year =         "1949",
  LCCN =         "A805 .L25 1949",
  MRclass =      "71.0X",
  MRnumber =     "0034139 (11,549a)",
  MRreviewer =   "D. C. Lewis",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  series =       "Mathematical Expositions",
  URL =          "http://catalog.hathitrust.org/Record/000357344",
  acknowledgement = ack-nhfb,
}

@Article{Lanczos:1950:IMS,
  author =       "Cornelius Lanczos",
  title =        "An iteration method for the solution of the eigenvalue
                 problem of linear differential and integral operators",
  journal =      j-J-RES-NATL-BUR-STAND-1934,
  volume =       "45",
  number =       "4",
  pages =        "255--282",
  month =        oct,
  year =         "1950",
  DOI =          "https://doi.org/10.6028/jres.045.026",
  ISSN =         "0160-1741 (print), 2376-5259 (electronic)",
  ISSN-L =       "0160-1741",
  MRclass =      "65.0X",
  MRnumber =     "0042791 (13,163d)",
  MRreviewer =   "P. Funk",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  ZMnumber =     "0067.33703",
  abstract =     "The present investigation designs a systematic method
                 for finding the latent roots and the principal axes of
                 a matrix, without reducing the order of the matrix. It
                 is characterized by a wide field of applicability and
                 great accuracy, since the accumulation of rounding
                 errors is avoided, through the process of ``minimized
                 iterations''. Moreover, the method leads to a well
                 convergent successive approximation procedure by which
                 the solution of integral equations of the Fredholm type
                 and the solution of the eigenvalue problem of linear
                 differential and integral operators may be
                 accomplished.",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Research Nat. Bur. Standards",
  fjournal =     "Journal of Research of the National Bureau of
                 Standards",
  journal-URL =  "https://www.nist.gov/nist-research-library/journal-research-nist/past-papers",
  remark =       "This paper contains the Lanczos algorithm for
                 iterative computation of eigenvalues and eigenvectors,
                 sometimes called the {\em power method}; this algorithm
                 appears to be the most-widely cited of Lanczos's
                 works.",
}

@InProceedings{Lanczos:1951:IMSa,
  author =       "Cornelius Lanczos",
  booktitle =    "{Proceedings of a Second Symposium on Large-Scale
                 Digital Calculating Machinery, 1949}",
  title =        "An iteration method for the solution of the eigenvalue
                 problem of linear differential and integral operators",
  publisher =    pub-HARVARD,
  address =      pub-HARVARD:adr,
  pages =        "164--206",
  year =         "1951",
  MRclass =      "65.0X",
  MRnumber =     "0045470 (13,589e)",
  MRreviewer =   "P. Funk",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Lanczos:1951:IMSb,
  author =       "Cornelius Lanczos",
  booktitle =    "{Proceedings of the Symposium on Spectral Theory and
                 Differential Problems (June 20--July 12, 1950)}",
  title =        "An iteration method for the solution of the eigenvalue
                 problem of linear differential and integral operators",
  publisher =    "Oklahoma Agricultural and Mechanical College",
  address =      "Stillwater, OK, USA",
  pages =        "301--316",
  year =         "1951",
  MRclass =      "65.0X",
  MRnumber =     "0044913 (13,497b)",
  MRreviewer =   "G. E. H. Reuter",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  xxpages =      "301--323",
}

@Article{Rosser:1951:SCE,
  author =       "J. B. Rosser and C. Lanczos and M. R. Hestenes and W.
                 Karush",
  title =        "Separation of close eigenvalues of a real symmetric
                 matrix",
  journal =      j-J-RES-NATL-BUR-STAND-1934,
  volume =       "47",
  number =       "4",
  pages =        "291--297",
  month =        oct,
  year =         "1951",
  DOI =          "https://doi.org/10.6028/jres.047.037",
  ISSN =         "0091-0635 (print), 2376-5305 (electronic)",
  ISSN-L =       "0091-0635",
  MRclass =      "65.0X",
  MRnumber =     "0048914 (14,92d)",
  MRreviewer =   "G. E. Forsythe",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Research Paper 2256.",
  abstract =     "In order to test two methods, one proposed by C.
                 Lanczos and the other by M. R. Hestenes and W. Karush,
                 for the numerical calculation of eigenvalues of
                 symmetric matrices, an 8 by 8 matrix is constructed
                 that has several sets of eigenvalues close together.
                 The application of the two methods to this test matrix
                 is described, and in addition, a third method for
                 dealing with such problems is proposed.",
  acknowledgement = ack-nhfb,
  author-dates = "Magnus Rudolph Hestenes (13 February 1906--31 May
                 1991)",
  fjournal =     "Journal of Research of the National Bureau of
                 Standards (1934)",
  journal-URL =  "https://www.nist.gov/nist-research-library/journal-research-nist/past-papers",
}

@TechReport{Lanczos:1952:APC,
  author =       "Cornelius Lanczos",
  title =        "Analytical and practical curve fitting of equidistant
                 data",
  type =         "Report",
  number =       "1591",
  institution =  pub-NBS,
  address =      pub-NBS:adr,
  pages =        "1--102",
  year =         "1952",
  bibdate =      "Thu Jun 09 18:37:14 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Lanczos:1952:F,
  author =       "Cornelius Lanczos",
  title =        "Introduction",
  crossref =     "Anonymous:1952:TCP",
  pages =        "v--xxvi",
  year =         "1952",
  bibdate =      "Wed Jun 08 19:00:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Lanczos:1952:SND,
  author =       "Cornelius Lanczos",
  title =        "Smoothing of noisy data by trigonometric truncation",
  type =         "Report",
  number =       "1582",
  institution =  pub-NBS,
  address =      pub-NBS:adr,
  pages =        "16",
  day =          "9",
  month =        apr,
  year =         "1952",
  bibdate =      "Thu Jun 09 18:34:37 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Lanczos:1952:SSL,
  author =       "Cornelius Lanczos",
  title =        "Solution of systems of linear equations by
                 minimized-iterations",
  journal =      j-J-RES-NATL-BUR-STAND-1934,
  volume =       "49",
  pages =        "33--53",
  year =         "1952",
  ISSN =         "0091-0635",
  MRclass =      "65.0X",
  MRnumber =     "0051583 (14,501g)",
  MRreviewer =   "P. Funk",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "https://nvlpubs.nist.gov/nistpubs/jres/049/jresv49n1p33_A1b.pdf",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Research Nat. Bur. Standards",
  fjournal =     "Journal of Research of the National Bureau of
                 Standards (1934)",
  journal-URL =  "https://www.nist.gov/nist-research-library/journal-research-nist/past-papers",
  remark =       "Submitted 28-Sep-1951, Los Angeles, CA, USA.",
}

@InProceedings{Lanczos:1953:CPS,
  author =       "Cornelius Lanczos",
  booktitle =    "{Proceedings of the Association for Computing
                 Machinery, Toronto, 1952}",
  title =        "{Chebyshev} polynomials in the solution of large-scale
                 linear systems",
  publisher =    "Sauls Lithograph Co. (for the Association for
                 Computing Machinery)",
  address =      "Washington, DC, USA",
  pages =        "124--133",
  year =         "1953",
  MRclass =      "65.0X",
  MRnumber =     "0067580 (16,751e)",
  MRreviewer =   "G. E. Forsythe",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Lanczos:1955:AET,
  author =       "C. Lanczos",
  title =        "{Albert Einstein} and the {Theory of Relativity}",
  journal =      j-NUOVO-CIMENTO-10,
  volume =       "2",
  number =       "Supplement 5",
  pages =        "1193--1220",
  year =         "1955",
  CODEN =        "NUCIAD",
  DOI =          "https://doi.org/10.1007/BF02748283",
  ISSN =         "0029-6341 (print), 1827-6121 (electronic)",
  ISSN-L =       "0029-6341",
  MRclass =      "01.0X",
  MRnumber =     "0076684 (17,931t)",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Il Nuovo Cimento (10)",
  journal-URL =  "http://link.springer.com/journal/11583",
}

@InProceedings{Lanczos:1955:IMS,
  author =       "C. Lanczos",
  title =        "An iteration method for the solution of the eigenvalue
                 problem of linear differential and integral operators",
  crossref =     "Anonymous:1955:PSS",
  pages =        "301--316",
  year =         "1955",
  bibdate =      "Wed Jun 8 17:00:44 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  ZMnumber =     "0067.33703",
  acknowledgement = ack-nhfb,
  keywords =     "{integral equations, integral transforms}",
}

@Article{Lanczos:1955:SEA,
  author =       "C. Lanczos",
  title =        "Spectroscopic eigenvalue analysis",
  journal =      j-J-WASH-ACAD-SCI,
  volume =       "45",
  number =       "10",
  pages =        "315--323",
  month =        oct,
  year =         "1955",
  CODEN =        "JWASA3",
  ISSN =         "0043-0439",
  MRclass =      "65.0X",
  MRnumber =     "0074934 (17,669b)",
  MRreviewer =   "E. Stiefel",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.jstor.org/stable/24533653",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Washington Acad. Sci.",
  fjournal =     "Journal of the Washington Academy of Sciences",
  journal-URL =  "http://www.jstor.org/journal/jwashacadscie",
}

@Article{Lanczos:1955:SS,
  author =       "Cornelius Lanczos",
  title =        "Science and Society",
  journal =      "Icarus (Trinity College, Dublin)",
  volume =       "5",
  number =       "16",
  pages =        "31--37",
  month =        "????",
  year =         "1955",
  bibdate =      "Thu Jun 09 18:38:15 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Book{Lanczos:1956:AA,
  author =       "Cornelius Lanczos",
  title =        "Applied Analysis",
  publisher =    pub-PH,
  address =      pub-PH:adr,
  pages =        "xx + 539",
  year =         "1956",
  ISBN =         "0-486-65656-X",
  ISBN-13 =      "978-0-486-65656-4",
  LCCN =         "QA401 .L3 1988",
  MRclass =      "65.0X",
  MRnumber =     "0084175 (18,823c)",
  MRreviewer =   "F. B. Hildebrand",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Dedicated to the memory of the six million who died
                 for Kiddush Hashem. Reprinted by Dover, New York,
                 1988.",
  URL =          "http://catalog.hathitrust.org/Record/000617776;
                 http://hdl.handle.net/2027/mdp.39015016057468",
  acknowledgement = ack-nhfb,
  remark =       "Chapter 3 discusses the Lanczos algorithms for solving
                 eigenvalue problems \cite{Lanczos:1950:IMS} and
                 linear-equation systems \cite{Lanczos:1952:SSL}. Pages
                 464--507 treat the Lanczos tau method for function
                 approximation.",
}

@Article{Lanczos:1957:EGR,
  author =       "Cornelius Lanczos",
  title =        "Electricity and {General Relativity}",
  journal =      j-REV-MOD-PHYS,
  volume =       "29",
  number =       "3",
  pages =        "337--350",
  month =        jul,
  year =         "1957",
  CODEN =        "RMPHAT",
  DOI =          "https://doi.org/10.1103/RevModPhys.29.337",
  ISSN =         "0034-6861 (print), 1538-4527 (electronic), 1539-0756",
  ISSN-L =       "0034-6861",
  MRclass =      "83.0X",
  MRnumber =     "0091193 (19,926e)",
  MRreviewer =   "J. L. Synge",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://link.aps.org/doi/10.1103/RevModPhys.29.337",
  acknowledgement = ack-nhfb,
  fjournal =     "Reviews of Modern Physics",
  journal-URL =  "http://rmp.aps.org/browse",
}

@Article{Lanczos:1958:ERG,
  author =       "Cornelius Lanczos",
  title =        "Electricit{\'e} de relativit{\'e} g{\'e}n{\'e}rale.
                 ({French}) [{Electricity} and {General Relativity}]",
  journal =      j-CAH-PHYS,
  volume =       "95",
  number =       "??",
  pages =        "247--255",
  month =        jul,
  year =         "1958",
  CODEN =        "CAPHAI",
  ISSN =         "0366-5291",
  bibdate =      "Thu Jun 09 18:42:40 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Cahiers de Physique",
  language =     "French",
}

@Article{Lanczos:1958:ISL,
  author =       "C. Lanczos",
  title =        "Iterative Solution of Large-Scale Linear Systems",
  journal =      j-J-SIAM,
  volume =       "6",
  number =       "1",
  pages =        "91--109",
  month =        mar,
  year =         "1958",
  CODEN =        "JSIMAV",
  DOI =          "https://doi.org/10.1137/0106006",
  ISSN =         "0368-4245 (print), 1095-712X (electronic)",
  ISSN-L =       "0036-1399",
  MRclass =      "65.00",
  MRnumber =     "0093902 (20 \#422)",
  MRreviewer =   "M. Hestenes",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 JSTOR database",
  URL =          "http://www.jstor.org/stable/2098863",
  ZMnumber =     "Zbl 0085.3320",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Society for Industrial and Applied
                 Mathematics",
  journal-URL =  "http://epubs.siam.org/loi/smjmap.1",
}

@Article{Lanczos:1958:LSS,
  author =       "C. Lanczos",
  title =        "Linear Systems in Self-Adjoint Form",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "65",
  number =       "9",
  pages =        "665--679",
  month =        nov,
  year =         "1958",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRclass =      "15.00",
  MRnumber =     "0103196 (21 \#1978)",
  MRreviewer =   "H. F. Weinberger",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 JSTOR database",
  URL =          "http://www.jstor.org/stable/2308707",
  ZMnumber =     "Zbl 0083.00604",
  acknowledgement = ack-nhfb,
  fjournal =     "The American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
}

@TechReport{Lanczos:1958:RCC,
  author =       "Cornelius Lanczos",
  title =        "Remarks concerning the canonical formulation of field
                 equations",
  type =         "Report",
  institution =  "Facult{\'e} des Sciences de Paris, S{\'e}minaire
                 Janet. M{\'e}canique analytique et m{\'e}canique
                 c{\'e}leste, tome 1, Ann{\'e}e 1957--1958",
  address =      "Paris, France",
  pages =        "1--14",
  day =          "17",
  month =        may,
  year =         "1958",
  bibdate =      "Thu Jun 09 18:40:58 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://archive.numdam.org/ARCHIVE/SJ/SJ_1957-1958__1_/SJ_1957-1958__1__A8_0/SJ_1957-1958__1__A8_0.pdf",
  acknowledgement = ack-nhfb,
}

@InCollection{Lanczos:1958:TC,
  author =       "Cornelius Lanczos",
  editor =       "E. U. Condon",
  booktitle =    "Handbook of Physics",
  title =        "Tensor Calculus",
  publisher =    pub-MCGRAW-HILL,
  address =      pub-MCGRAW-HILL:adr,
  pages =        "I-140--I-151",
  year =         "1958",
  LCCN =         "????",
  bibdate =      "Thu Jun 09 18:44:19 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Part I, Chapter 10.",
  acknowledgement = ack-nhfb,
}

@Article{Lanczos:1959:AER,
  author =       "Cornelius Lanczos",
  title =        "{Albert Einstein} and the role of theory in
                 contemporary physics",
  journal =      j-AM-SCI,
  volume =       "47",
  number =       "??",
  pages =        "41--59",
  month =        mar,
  year =         "1959",
  CODEN =        "AMSCAC",
  ISSN =         "0003-0996 (print), 1545-2786 (electronic)",
  ISSN-L =       "0003-0996",
  bibdate =      "Thu Jun 09 18:45:56 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "American Scientist",
  journal-URL =  "http://www.americanscientist.org/issues/past.aspx",
}

@InCollection{Lanczos:1960:EBV,
  author =       "C. Lanczos",
  booktitle =    "Proceedings of the International Congress of
                 Mathematicians, Edinburgh (14--21 August, 1958)",
  title =        "Extended boundary value problems",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "154--181",
  year =         "1960",
  MRclass =      "35.00",
  MRnumber =     "0118944 (22 \#9713)",
  MRreviewer =   "L. E. Payne",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  ZMnumber =     "Zbl 0119.33501",
  acknowledgement = ack-nhfb,
}

@InCollection{Lanczos:1960:SOD,
  author =       "C. Lanczos",
  booktitle =    "Symposium on the numerical treatment of ordinary
                 differential equations, integral and
                 integro-differential equations ({Rome}, 1960)",
  title =        "Solution of ordinary differential equations by
                 trigonometric interpolation",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  pages =        "22--32",
  year =         "1960",
  MRclass =      "65.61",
  MRnumber =     "0145667 (26 \#3196)",
  MRreviewer =   "P. Henrici",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  ZMnumber =     "Zbl 0107.33403",
  acknowledgement = ack-nhfb,
}

@Book{Lanczos:1961:AA,
  author =       "Cornelius Lanczos",
  title =        "Applied Analysis",
  publisher =    pub-PH,
  address =      pub-PH:adr,
  pages =        "xx + 539",
  year =         "1961",
  LCCN =         "????",
  bibdate =      "Wed Jun 08 17:08:08 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Dedicated to the memory of the six million who died
                 for Kiddush Hashem.",
  URL =          "http://babel.hathitrust.org/cgi/pt?id=mdp.39015016057468",
  ZMnumber =     "Zbl 0111.12403",
  acknowledgement = ack-nhfb,
  remark =       "Chapter 3 discusses the Lanczos algorithms for solving
                 eigenvalue problems \cite{Lanczos:1950:IMS} and
                 linear-equation systems \cite{Lanczos:1952:SSL}. Pages
                 464--507 treat the Lanczos tau method for function
                 approximation.",
}

@Book{Lanczos:1961:LDO,
  author =       "Cornelius Lanczos",
  title =        "Linear differential operators",
  publisher =    "D. Van Nostrand Co. Ltd.",
  address =      "London, UK / Toronto, ON, Canada / New York, NY, USA /
                 Princeton, NJ, USA",
  pages =        "xvi + 564",
  year =         "1961",
  MRclass =      "34.00 (47.60)",
  MRnumber =     "0129153 (23 \#B2190)",
  MRreviewer =   "P. Roman",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://catalog.hathitrust.org/Record/000621357",
  ZMnumber =     "Zbl 0111.08305",
  acknowledgement = ack-nhfb,
}

@InCollection{Lanczos:1961:MLG,
  author =       "C. Lanczos",
  booktitle =    "Colloques sur l'analyse num{\'e}rique ({Mons}, 1961)",
  title =        "{M}{\'e}thodes locales et globales pour
                 l'int{\'e}gration des probl{\`e}mes de trajectories",
  publisher =    "Librairie Universitaire",
  address =      "Louvain, Belgium",
  pages =        "37--49",
  year =         "1961",
  MRclass =      "65.61",
  MRnumber =     "0152127 (27 \#2107)",
  MRreviewer =   "E. Leimanis",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Centre Belge de Recherches Math{\'e}matiques",
  acknowledgement = ack-nhfb,
}

@Book{Lanczos:1961:PMP,
  author =       "Cornelius Lanczos",
  title =        "Prakti{\c{c}}eskije metody prikladnogo analiza:
                 Spravo{\v{c}}noje rukovodstvo. ({Russian}) [{Practical}
                 Methods in Applied Analysis]",
  publisher =    "Fizmatgiz",
  address =      "Moscow, USSR",
  pages =        "524",
  year =         "1961",
  LCCN =         "????",
  bibdate =      "Wed Jun 08 18:39:30 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Translated from the English by M. Z. Kajnera, and
                 edited by A. M. Lop{\v{s}}ica.",
  acknowledgement = ack-nhfb,
  language =     "Russian",
}

@InCollection{Lanczos:1962:IAC,
  author =       "C. Lanczos",
  title =        "An integral approach to the calculus of variations",
  crossref =     "Szego:1962:SMA",
  pages =        "191--198",
  year =         "1962",
  MRclass =      "49.00",
  MRnumber =     "0147933 (26 \#5445)",
  MRreviewer =   "M. R. Hestenes",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  ZMnumber =     "Zbl 0112.06301",
  acknowledgement = ack-nhfb,
}

@Article{Lanczos:1962:IGF,
  author =       "Cornelius Lanczos",
  title =        "Int{\'e}gration globale. ({French}) [{Global}
                 integration]",
  journal =      "Annales de la Facult{\'e} des sciences de
                 l'universit{\'e} de {Clermont}, Actes Coll. Math.
                 Tricent. mort {B. Pascal}",
  volume =       "2",
  number =       "??",
  pages =        "97--107",
  month =        "????",
  year =         "1962",
  bibdate =      "Fri Jun 10 06:25:28 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://archive.numdam.org/ARCHIVE/ASCFM/ASCFM_1962__8_2/ASCFM_1962__8_2_97_0/ASCFM_1962__8_2_97_0.pdf",
  acknowledgement = ack-nhfb,
  ajournal =     "Ann. Fac. Sci. Univ. {Clermont}, Actes Coll. Math.
                 Tricent. mort {B. Pascal}",
  language =     "French",
}

@InCollection{Lanczos:1962:SPR,
  author =       "C. Lanczos",
  title =        "Some properties of the {Riemann--Christoffel}
                 curvature tensor",
  crossref =     "Anonymous:1962:RDG",
  pages =        "313--321",
  year =         "1962",
  MRclass =      "83.53 (53.70)",
  MRnumber =     "0164703 (29 \#1999)",
  MRreviewer =   "F. A. E. Pirani",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 SAO/NASA Astrophysics Data System",
  URL =          "http://adsabs.harvard.edu/abs/1962rdgr.book..313L",
  acknowledgement = ack-nhfb,
}

@Article{Lanczos:1962:SRT,
  author =       "C. Lanczos",
  title =        "The splitting of the {Riemann} tensor",
  journal =      j-REV-MOD-PHYS,
  volume =       "34",
  number =       "3",
  pages =        "379--389",
  month =        jul,
  year =         "1962",
  CODEN =        "RMPHAT",
  DOI =          "https://doi.org/10.1103/RevModPhys.34.379",
  ISSN =         "0034-6861 (print), 1538-4527 (electronic), 1539-0756",
  ISSN-L =       "0034-6861",
  MRclass =      "53.35 (53.70)",
  MRnumber =     "0140360 (25 \#3782)",
  MRreviewer =   "H. A. Buchdahl",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://adsabs.harvard.edu/abs/1962RvMP...34..379L;
                 http://link.aps.org/doi/10.1103/RevModPhys.34.379",
  ZMnumber =     "Zbl 0106.41701",
  acknowledgement = ack-nhfb,
  fjournal =     "Reviews of Modern Physics",
  journal-URL =  "http://rmp.aps.org/browse",
}

@Article{Lanczos:1962:TRQ,
  author =       "C. Lanczos",
  title =        "Le tenseur de {Riemann} {\`a} quatre dimensions.
                 ({With} discussion)",
  journal =      "Annales de la Facult{\'e} des Sciences de
                 l'Universit{\'e} de Clermont-Ferrand",
  volume =       "8",
  number =       "2",
  pages =        "167--170",
  month =        "????",
  year =         "1962",
  MRclass =      "53.35 (83.00)",
  MRnumber =     "0283711 (44 \#941)",
  MRreviewer =   "W. B. Bonnor",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.numdam.org/item?id=ASCFM_1962__8_2_167_0",
  acknowledgement = ack-nhfb,
  ajournal =     "Ann. Fac. Sci. Univ. Clermont-Ferrand No.",
}

@Book{Lanczos:1962:VPM,
  author =       "Cornelius Lanczos",
  title =        "The variational principles of mechanics",
  volume =       "4",
  publisher =    pub-U-TORONTO,
  address =      pub-U-TORONTO:adr,
  edition =      "Second",
  pages =        "xxv + 367",
  year =         "1962",
  LCCN =         "QA805 .L25 1962",
  MRclass =      "70.00",
  MRnumber =     "0166957 (29 \#4230)",
  MRreviewer =   "H. Saunders",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  series =       "Mathematical Expositions",
  URL =          "http://catalog.hathitrust.org/Record/000357368",
  ZMnumber =     "Zbl 0138.19705",
  acknowledgement = ack-nhfb,
}

@Article{Lanczos:1963:MPP,
  author =       "Cornelius Lanczos",
  title =        "Modern physics in perspective",
  journal =      "Studies: An {Irish} Quarterly Review ({Dublin})",
  volume =       "52",
  number =       "207",
  pages =        "283--293",
  month =        "Fall",
  year =         "1963",
  ISSN =         "0039-3495",
  bibdate =      "Fri Jun 10 06:31:17 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.jstor.org/stable/30088788",
  acknowledgement = ack-nhfb,
}

@Article{Lanczos:1963:URS,
  author =       "C. Lanczos",
  title =        "Undulatory {Riemannian} spaces",
  journal =      j-J-MATH-PHYS,
  volume =       "4",
  number =       "7",
  pages =        "951--959",
  month =        jul,
  year =         "1963",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.1704021",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  MRclass =      "53.78 (83.00)",
  MRnumber =     "0152350 (27 \#2330)",
  MRreviewer =   "A. H. Taub",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  ZMnumber =     "Zbl 0118.23104",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
}

@Article{Lanczos:1964:END,
  author =       "C. Lanczos",
  title =        "Evaluation of Noisy Data",
  journal =      j-SIAM-J-NUM-ANALYSIS-B,
  volume =       "1",
  number =       "??",
  pages =        "76--85",
  month =        "????",
  year =         "1964",
  DOI =          "https://doi.org/10.1137/0701007",
  ISSN =         "0887-459X (print), 1095-7170 (electronic)",
  ISSN-L =       "0887-459X",
  MRclass =      "65.90",
  MRnumber =     "0179909 (31 \#4146)",
  MRreviewer =   "W. J. Kotz{\'e}",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  URL =          "http://www.jstor.org/stable/2949766",
  ZMnumber =     "Zbl 0142.12504",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Society for Industrial and Applied
                 Mathematics: Series B, Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/loi/sjnaam.1",
}

@Article{Lanczos:1964:I,
  author =       "Cornelius Lanczos",
  title =        "Introduction",
  journal =      j-SIAM-J-NUM-ANALYSIS-B,
  volume =       "1",
  number =       "??",
  pages =        "1--1",
  month =        "????",
  year =         "1964",
  DOI =          "https://doi.org/10.1137/0701intro1",
  ISSN =         "0887-459X (print), 1095-7170 (electronic)",
  ISSN-L =       "0887-459X",
  bibdate =      "Wed Jun 08 18:21:14 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.jstor.org/stable/2949759",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Society for Industrial and Applied
                 Mathematics: Series B, Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/loi/sjnaam.1",
  remark =       "The article begins ``With this issue, SIAM initiates a
                 new series of its Journal devoted to the field of
                 Numerical Analysis in its broader connotations.",
}

@Article{Lanczos:1964:IGH,
  author =       "Cornelius Lanczos",
  title =        "The Inspired Guess in the History of Physics",
  journal =      "Studies: An {Irish} Quarterly Review ({Dublin})",
  volume =       "53",
  number =       "212",
  pages =        "398--412",
  month =        "Winter",
  year =         "1964",
  ISSN =         "0039-3495",
  bibdate =      "Thu Jun 09 17:50:45 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.jstor.org/stable/30087796",
  acknowledgement = ack-nhfb,
}

@Book{Lanczos:1964:LDO,
  author =       "Cornelius Lanczos",
  title =        "Linear Differential Operators",
  publisher =    "Van Nostrand",
  address =      "London, UK",
  pages =        "564",
  year =         "1964",
  LCCN =         "????",
  bibdate =      "Wed Jun 08 18:38:25 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Lanczos:1964:MPP,
  author =       "Cornelius Lanczos",
  title =        "Modern Physics in Perspective",
  journal =      "Studies: An {Irish} Quarterly Review ({Dublin})",
  volume =       "52",
  number =       "207",
  pages =        "283--293",
  month =        "Autumn",
  year =         "1964",
  ISSN =         "0039-3495",
  bibdate =      "Thu Jun 09 17:50:45 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.jstor.org/stable/30088788",
  acknowledgement = ack-nhfb,
}

@Article{Lanczos:1964:PAG,
  author =       "Cornelius Lanczos",
  title =        "A Precision Approximation of the Gamma Function",
  journal =      j-SIAM-J-NUM-ANALYSIS-B,
  volume =       "1",
  number =       "1",
  pages =        "86--96",
  month =        "????",
  year =         "1964",
  DOI =          "https://doi.org/10.1137/0701008",
  ISSN =         "0887-459X (print), 1095-7170 (electronic)",
  ISSN-L =       "0887-459X",
  MRclass =      "33.15",
  MRnumber =     "0176115 (31 \#390)",
  MRreviewer =   "S. C. van Veen",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  URL =          "http://www.jstor.org/stable/2949767",
  ZMnumber =     "Zbl 0136.05201",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Society for Industrial and Applied
                 Mathematics: Series B, Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/loi/sjnaam.1",
}

@Article{Lanczos:1964:SPP,
  author =       "Cornelius Lanczos",
  title =        "Signal propagation in a positive definite {Riemannian}
                 space",
  journal =      j-PHYS-REV-2,
  volume =       "134B",
  number =       "2",
  pages =        "476--480",
  month =        apr,
  year =         "1964",
  CODEN =        "PHRVAO",
  DOI =          "https://doi.org/10.1103/PhysRev.134.B476",
  ISSN =         "0031-899X (print), 1536-6065 (electronic)",
  ISSN-L =       "0031-899X",
  MRclass =      "83.53",
  MRnumber =     "0162611 (28 \#5809)",
  MRreviewer =   "H. Rund",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://link.aps.org/doi/10.1103/PhysRev.134.B476",
  ZMnumber =     "Zbl 0116.44302",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review (2)",
  journal-URL =  "http://prola.aps.org/browse/PR",
}

@Book{Lanczos:1964:VPM,
  author =       "Cornelius Lanczos",
  title =        "The variational principles of mechanics",
  volume =       "4",
  publisher =    pub-U-TORONTO,
  address =      pub-U-TORONTO:adr,
  edition =      "Second",
  pages =        "xxv + 367",
  year =         "1964",
  LCCN =         "QA805 .L25 1964",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  series =       "Mathematical Expositions",
  URL =          "http://catalog.hathitrust.org/Record/000357368",
  acknowledgement = ack-nhfb,
}

@Book{Lanczos:1965:AEC,
  author =       "Cornelius Lanczos",
  title =        "{Albert Einstein} and the cosmic world order: six
                 lectures delivered at the {University of Michigan} in
                 the {Spring} of 1962",
  publisher =    pub-INTERSCIENCE,
  address =      pub-INTERSCIENCE:adr,
  pages =        "vi + 139",
  year =         "1965",
  LCCN =         "QC 16 .E35 L252 1965",
  MRclass =      "00.50 (83.00)",
  MRnumber =     "0171673 (30 \#1902)",
  MRreviewer =   "N. L. Balazs",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/einstein.bib",
  URL =          "http://catalog.hathitrust.org/Record/001477802",
  acknowledgement = ack-nhfb,
  subject-dates = "1879--1955",
}

@Book{Lanczos:1965:VPM,
  author =       "Cornelius Lanczos",
  title =        "Variacionnyje principy mechaniki. ({Russian}) [{The}
                 variational principles of mechanics]",
  publisher =    pub-MIR,
  address =      pub-MIR:adr,
  pages =        "408",
  year =         "1965",
  LCCN =         "????",
  bibdate =      "Wed Jun 08 18:42:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  language =     "Russian",
}

@Article{Lanczos:1966:BVP,
  author =       "C. Lanczos",
  title =        "Boundary Value Problems and Orthogonal Expansions",
  journal =      j-SIAM-J-APPL-MATH,
  volume =       "14",
  number =       "4",
  pages =        "831--863",
  month =        jul,
  year =         "1966",
  CODEN =        "SMJMAP",
  DOI =          "https://doi.org/10.1137/0114070",
  ISSN =         "0036-1399 (print), 1095-712X (electronic)",
  ISSN-L =       "0036-1399",
  MRclass =      "31.20",
  MRnumber =     "0208008 (34 \#7819)",
  MRreviewer =   "R. P. Srivastav",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 JSTOR database",
  URL =          "http://www.jstor.org/stable/2946140",
  ZMnumber =     "Zbl 0147.09702",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Applied Mathematics",
  journal-URL =  "http://epubs.siam.org/siap",
  remark =       "The article begins with a large photograph of Richard
                 Courant.",
}

@Book{Lanczos:1966:DFSa,
  author =       "Cornelius Lanczos",
  title =        "Discourse on {Fourier} series",
  publisher =    "Oliver \& Boyd",
  address =      "Edinburgh, UK / London, UK",
  pages =        "viii + 255",
  year =         "1966",
  MRclass =      "42.00",
  MRnumber =     "0199629 (33 \#7772)",
  MRreviewer =   "F. C. Hsiang",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  series =       "University mathematical monographs",
  URL =          "http://catalog.hathitrust.org/Record/000620782",
  ZMnumber =     "Zbl 0163.07601",
  acknowledgement = ack-nhfb,
}

@Book{Lanczos:1966:DFSb,
  author =       "Cornelius Lanczos",
  title =        "Discourse on {Fourier} series",
  publisher =    "Hafner Publishing Co.",
  address =      "New York, NY, USA",
  pages =        "viii + 255",
  year =         "1966",
  MRclass =      "42.00",
  MRnumber =     "0199629 (33 \#7772)",
  MRreviewer =   "F. C. Hsiang",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  ZMnumber =     "Zbl 0163.07601",
  acknowledgement = ack-nhfb,
}

@Article{Lanczos:1966:MLP,
  author =       "C. Lanczos",
  title =        "Metrical lattice and the problem of electricity",
  journal =      j-J-MATH-PHYS,
  volume =       "7",
  number =       "2",
  pages =        "316--324",
  month =        feb,
  year =         "1966",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.1704935",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  MRclass =      "83.53",
  MRnumber =     "0191597 (32 \#9002)",
  MRreviewer =   "P. G. Bergmann",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Mathematical Phys.",
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
}

@InProceedings{Lanczos:1966:TFD,
  author =       "Cornelius Lanczos",
  title =        "{Tetraden-Formalismus und definite
                 Raum--Zeit-Struktur}. ({German}) [{Tetrad} formalism
                 and definite space--time structure]",
  crossref =     "Treder:1966:ESE",
  pages =        "38--56",
  year =         "1966",
  bibdate =      "Fri Jun 10 06:36:10 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  language =     "German",
  xxbooktitle =  "{Entstehung, Entwicklung und Perspektiven der
                 Einsteinschen Gravitationstheorie, Deutsche Akademie
                 der Wissenschaften, November 2--5, 1965} [{Emergence},
                 development and perspectives of the {Einstein Theory of
                 Gravitation}]",
}

@Book{Lanczos:1966:VPM,
  author =       "Cornelius Lanczos",
  title =        "The variational principles of mechanics",
  publisher =    pub-U-TORONTO,
  address =      pub-U-TORONTO:adr,
  edition =      "Third",
  pages =        "xxv + 375",
  year =         "1966",
  LCCN =         "QA805 .L278 1966",
  MRclass =      "69.00",
  MRnumber =     "0431821 (55 \#4815)",
  bibdate =      "Sat Jun 11 15:46:32 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  series =       "Mathematical Expositions, No. 4",
  URL =          "http://catalog.hathitrust.org/Record/004452275",
  acknowledgement = ack-nhfb,
}

@Book{Lanczos:1967:AEP,
  author =       "Cornelius Lanczos",
  title =        "{Albert Einstein} i porz{\k{a}}dek wszech{\'s}wiata",
  volume =       "92",
  publisher =    "Pa{\'n}stwowe Wydawnictwo Naukowe",
  address =      "Warszawa, Poland",
  pages =        "146 + 4",
  year =         "1967",
  LCCN =         "????",
  bibdate =      "Wed Jun 08 18:46:11 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Translated from English to Polish by Barbara
                 Stanosz.",
  series =       "Omega: wsp{\'o}{\l}czesna biblioteka naukowa",
  acknowledgement = ack-nhfb,
}

@Book{Lanczos:1967:AES,
  author =       "Cornelius Lanczos",
  title =        "{Albert Einshtein} i stroenie kosmosa: Shest lektsii,
                 Prochitannykh vesnoi 1962 {G}. v {Michiganskom}
                 universitete. ({Russian}) [{Albert Einstein} and the
                 cosmic world order: six lectures delivered at the
                 {University of Michigan} in the {Spring} of 1962]",
  publisher =    pub-NAUKA,
  address =      pub-NAUKA:adr,
  pages =        "156",
  year =         "1967",
  LCCN =         "????",
  bibdate =      "Wed Jun 08 19:01:37 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Translated from English to Russian by V. A. Ugarova.",
  acknowledgement = ack-nhfb,
  language =     "Russian",
}

@Article{Lanczos:1967:BRM,
  author =       "Cornelius Lanczos",
  title =        "Book Review: {{\em The Mathematical Papers of Sir
                 William Rowna Hamilton: Volume III, Algebra}, edited by
                 H. Halberstam and R. E. Ingram, London: Cambridge
                 University Press 1967. pp 672}",
  journal =      "Studies: An {Irish} Quarterly Review ({Dublin})",
  volume =       "56",
  number =       "224",
  pages =        "423--425",
  month =        "Winter",
  year =         "1967",
  ISSN =         "0039-3495",
  bibdate =      "Sun Jun 19 16:17:27 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.jstor.org/stable/30087259",
  acknowledgement = ack-nhfb,
}

@Book{Lanczos:1967:CCV,
  author =       "Cornelius Lanczos",
  title =        "Che cosa ha veramente detto {Einstein}?. ({Italian})
                 [{What} did {Einstein} really say?]",
  publisher =    "Ubaldini",
  address =      "Rome, Italy",
  pages =        "154",
  year =         "1967",
  LCCN =         "????",
  bibdate =      "Wed Jun 08 19:06:15 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  language =     "Italian",
}

@Article{Lanczos:1967:EEE,
  author =       "Cornelius Lanczos",
  title =        "{Einstein} equations and electromagnetism",
  journal =      j-J-MATH-PHYS,
  volume =       "8",
  number =       "4",
  pages =        "829--836",
  month =        apr,
  year =         "1967",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.1705286",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  bibdate =      "Fri Jun 10 06:51:48 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
}

@InProceedings{Lanczos:1967:RPW,
  author =       "Cornelius Lanczos",
  title =        "Rationalism and the physical world",
  crossref =     "Cohen:1967:PBC",
  pages =        "181--198",
  year =         "1967",
  bibdate =      "Fri Jun 10 06:44:04 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Lanczos:1967:WM,
  author =       "Cornelius Lanczos",
  title =        "Why Mathematics?",
  journal =      "{Irish Mathematical Teachers Association} Newsletter",
  volume =       "9",
  number =       "??",
  pages =        "3--??",
  month =        "????",
  year =         "1967",
  bibdate =      "Thu Jun 09 14:07:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  xxpages =      "1--5",
}

@Article{Lanczos:1967:WRHa,
  author =       "Cornelius Lanczos",
  title =        "{William Rowan Hamilton}, an appreciation",
  journal =      j-AM-SCI,
  volume =       "55",
  number =       "??",
  pages =        "129--143",
  month =        "????",
  year =         "1967",
  CODEN =        "AMSCAC",
  ISSN =         "0003-0996 (print), 1545-2786 (electronic)",
  ISSN-L =       "0003-0996",
  bibdate =      "Fri Jun 10 06:50:30 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "American Scientist",
  journal-URL =  "http://www.americanscientist.org/issues/past.aspx",
}

@Article{Lanczos:1967:WRHb,
  author =       "Cornelius Lanczos",
  title =        "{William Rowan Hamilton}, an appreciation",
  journal =      "University Review",
  volume =       "4",
  number =       "2",
  pages =        "151--166",
  month =        "Summer",
  year =         "1967",
  CODEN =        "????",
  ISSN =         "0566-2478",
  bibdate =      "Sun Jun 19 15:57:50 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.jstor.org/stable/25504779",
  acknowledgement = ack-nhfb,
}

@InCollection{Lanczos:1968:BVP,
  author =       "C. Lanczos",
  booktitle =    "Programmation en Math{\'e}matiques Num{\'e}riques
                 (Actes Colloq. Internat. C.N.R.S. No. 165,
                 Besan{\c{c}}on, 1966)",
  title =        "Boundary value problems and the algebraic method",
  publisher =    "{\'E}ditions Centre Nat. Recherche Sci., Paris",
  pages =        "205--215",
  year =         "1968",
  MRclass =      "65.65",
  MRnumber =     "0231547 (37 \#7100)",
  MRreviewer =   "R. Nicolovius",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  ZMnumber =     "Zbl 0212.17902",
  acknowledgement = ack-nhfb,
}

@Book{Lanczos:1968:NE,
  author =       "Cornelius Lanczos",
  title =        "Numbers without end",
  volume =       "22",
  publisher =    "Oliver and Boyd",
  address =      "Edinburgh, Scotland",
  pages =        "x + 164",
  year =         "1968",
  LCCN =         "QA9 L35; 1875",
  bibdate =      "Wed Jun 8 18:31:20 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 library.ox.ac.uk:210/ADVANCE",
  series =       "Contemporary science paperbacks",
  URL =          "http://catalog.hathitrust.org/Record/009325177",
  acknowledgement = ack-nhfb,
  author-dates = "1893--1974",
  subject =      "Number concept; Numerals",
}

@InProceedings{Lanczos:1968:QRI,
  author =       "Cornelius Lanczos",
  booktitle =    "{Coll. Inter. Centre Nat. Rech. Sci., No. 165:
                 Programmation en math{\'e}matique num{\'e}rique,
                 Besan{\c{c}}on (7--14 septembre, 1966)}",
  title =        "Quelques remarques en introduction. ({French}) [{Some}
                 Introductory Remarks]",
  publisher =    "{\'E}ditions du Centre National de la Recherche",
  address =      "Paris, France",
  pages =        "21--23",
  year =         "1968",
  LCCN =         "????",
  bibdate =      "Fri Jun 10 06:53:43 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  language =     "French",
  remark =       "Find remaining publications in Lanczos bibliography in
                 \cite{Brown:1994:PCL}.",
}

@Article{Lanczos:1969:QAP,
  author =       "C. Lanczos",
  title =        "Quadratic action principle of relativity",
  journal =      j-J-MATH-PHYS,
  volume =       "10",
  number =       "6",
  pages =        "1057--1064",
  month =        jun,
  year =         "1969",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.1664934",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  bibdate =      "Fri Jan 2 14:59:17 MST 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  classification = "A0420 (General relativity)",
  corpsource =   "Dublin Inst. for Advanced Studies, Ireland",
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
  keywords =     "General Relativity",
}

@InProceedings{Lanczos:1969:VP,
  author =       "Cornelius Lanczos",
  title =        "Variational principles",
  crossref =     "Clark:1969:MMS",
  pages =        "1--45",
  year =         "1969",
  bibdate =      "Mon Jun 20 15:10:31 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Book{Lanczos:1970:JS,
  author =       "Cornelius Lanczos",
  title =        "{Judaism} and science",
  volume =       "11",
  publisher =    "Leeds University Press",
  address =      "Leeds, UK",
  pages =        "ii + 23",
  year =         "1970",
  ISBN =         "0-85316-021-X",
  ISBN-13 =      "978-0-85316-021-2",
  LCCN =         "BM 538 .S3 L25",
  bibdate =      "Wed Jun 08 18:44:10 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  series =       "Selig Brodetsky memorial lecture",
  URL =          "http://catalog.hathitrust.org/Record/001402814",
  acknowledgement = ack-nhfb,
}

@Book{Lanczos:1970:STA,
  author =       "Cornelius Lanczos",
  title =        "Space through the ages: the evolution of geometrical
                 ideas from {Pythagoras} to {Hilbert} and {Einstein}",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "x + 320",
  year =         "1970",
  MRclass =      "01.01 (50.00)",
  MRnumber =     "0270861 (42 \#5747)",
  MRreviewer =   "Kenneth May",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://catalog.hathitrust.org/Record/000164850",
  ZMnumber =     "Zbl 0196.23601",
  acknowledgement = ack-nhfb,
}

@Book{Lanczos:1970:TO,
  author =       "Cornelius Lanczos",
  title =        "Tal i o{\"a}ndlighet",
  publisher =    "Gleerups",
  address =      "Lund, Sweden",
  pages =        "192",
  year =         "1970",
  LCCN =         "????",
  bibdate =      "Wed Jun 08 19:08:25 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Translation of {\em Numbers without end} to Swedish by
                 Einar Fredriksson.",
  acknowledgement = ack-nhfb,
  language =     "Swedish",
}

@Book{Lanczos:1970:VPM,
  author =       "Cornelius Lanczos",
  title =        "The variational principles of mechanics",
  publisher =    pub-U-TORONTO,
  address =      pub-U-TORONTO:adr,
  edition =      "Fourth",
  pages =        "xxix + 418",
  year =         "1970",
  LCCN =         "QA805 .L25 1970",
  MRclass =      "69.00",
  MRnumber =     "0431821 (55 \#4815)",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  series =       "Mathematical Expositions, No. 4",
  URL =          "http://catalog.hathitrust.org/Record/000001426",
  acknowledgement = ack-nhfb,
}

@Book{Lanczos:1971:LND,
  author =       "Cornelius Lanczos",
  title =        "{L}'univers des nombres: {\`a} la d{\'e}couverte des
                 math{\'e}matiques. ({French}) [{The} universe of
                 numbers: the discovery of mathematics]",
  volume =       "43",
  publisher =    pub-DUNOD,
  address =      pub-DUNOD:adr,
  pages =        "xii + 188",
  year =         "1971",
  LCCN =         "????",
  bibdate =      "Wed Jun 08 19:04:12 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Translation of {\em Numbers without end} to French by
                 Ren{\'e} Marchand.",
  series =       "Science-poche",
  acknowledgement = ack-nhfb,
  language =     "French",
}

@InCollection{Lanczos:1972:EPS,
  author =       "C. Lanczos",
  title =        "{Einstein}'s path from {Special} to {General
                 Relativity}",
  crossref =     "Synge:1972:GRP",
  pages =        "5--19",
  year =         "1972",
  MRclass =      "83.00 (01A60)",
  MRnumber =     "0503381 (58 \#20148)",
  MRreviewer =   "Vadim Komkov",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/einstein.bib;
                 SAO/NASA Astrophysics Data System",
  URL =          "http://adsabs.harvard.edu/abs/1972grec.conf....5L",
  acknowledgement = ack-nhfb,
}

@InCollection{Lanczos:1972:PB,
  author =       "Cornelius Lanczos",
  title =        "The {Poisson} bracket",
  crossref =     "Salam:1972:AQT",
  pages =        "169--178",
  year =         "1972",
  bibdate =      "Tue Jun 14 15:14:26 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Book{Lanczos:1972:SMH,
  author =       "L{\'a}nczos{ }Korn{\'e}l",
  title =        "Sz{\'a}mok minden{\"u}tt. ({Hungarian}) [{Numbers}
                 without end]",
  publisher =    "Gondolat",
  address =      "Budapest, Hungary",
  pages =        "202",
  year =         "1972",
  LCCN =         "????",
  bibdate =      "Tue Jun 14 15:20:05 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  language =     "Hungarian",
}

@Article{Lanczos:1972:VPQ,
  author =       "C. Lanczos",
  title =        "Vector potential and quadratic action",
  journal =      j-FOUND-PHYS,
  volume =       "2",
  number =       "4",
  pages =        "271--285",
  month =        "????",
  year =         "1972",
  CODEN =        "FNDPA4",
  DOI =          "https://doi.org/10.1007/BF00708412",
  ISSN =         "0015-9018 (print), 1572-9516 (electronic)",
  ISSN-L =       "0015-9018",
  MRclass =      "83.53",
  MRnumber =     "0339770 (49 \#4527)",
  MRreviewer =   "A. Wyler",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Foundations of Physics. An International Journal
                 Devoted to the Conceptual Bases and Fundamental
                 Theories of Modern Physics, Biophysics, and Cosmology",
  journal-URL =  "http://link.springer.com/journal/10701",
}

@InProceedings{Lanczos:1973:CTA,
  author =       "C. Lanczos",
  title =        "Computing through the ages",
  crossref =     "Miller:1973:TNA",
  pages =        "1--12",
  year =         "1973",
  MRclass =      "65-03 (01A05)",
  MRnumber =     "0339437 (49 \#4196)",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Lanczos:1973:ENC,
  author =       "C. Lanczos",
  title =        "{Emmy Noether} and the calculus of variations",
  journal =      j-BULL-INST-MATH-APPL,
  volume =       "9",
  number =       "8",
  pages =        "253--258",
  year =         "1973",
  CODEN =        "IMTABW",
  ISSN =         "0950-5628",
  MRclass =      "01A60",
  MRnumber =     "0504981 (58 \#21260)",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Bulletin of the Institute of Mathematics and its
                 Applications",
}

@InCollection{Lanczos:1973:LVC,
  author =       "C. Lanczos",
  title =        "{Legendre} versus {Chebyshev} polynomials",
  crossref =     "Miller:1973:TNA",
  pages =        "191--201",
  year =         "1973",
  MRclass =      "65L10",
  MRnumber =     "0341880 (49 \#6626)",
  MRreviewer =   "Clarence M. Ablow",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  ZMnumber =     "Zbl 0297.65008",
  acknowledgement = ack-nhfb,
}

@Article{Lanczos:1973:TMM,
  author =       "L{\'a}nczos{ }Korn{\'e}l",
  title =        "A tudom{\'a}ny mint a m{\"u}v{\'e}szet egyik
                 form{\'a}ja. ({Hungarian}) [{Science} as a kind of
                 art]",
  journal =      j-FIZ-SZ,
  volume =       "23",
  number =       "8",
  pages =        "225--231",
  month =        aug,
  year =         "1973",
  CODEN =        "FISZA6",
  ISSN =         "0015-3257 (print), 1588-0540 (electronic)",
  ISSN-L =       "0015-3257",
  bibdate =      "Thu Jun 09 17:56:39 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Fizikai Szemle (Budapest)",
  journal-URL =  "http://www.kfki.hu/fszemle/archivum",
  language =     "Hungarian",
  xxpages =      "231--??",
}

@Book{Lanczos:1974:EDa,
  author =       "Cornelius Lanczos",
  title =        "The {Einstein} decade (1905--1915)",
  publisher =    "Elek Science",
  address =      "London, UK",
  pages =        "xiv + 230",
  year =         "1974",
  ISBN =         "0-236-17632-3",
  ISBN-13 =      "978-0-236-17632-8",
  LCCN =         "QC16.E5 L33 1974b",
  bibdate =      "Wed Jun 8 14:42:43 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/einstein.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Histories of science series",
  URL =          "http://catalog.hathitrust.org/api/volumes/oclc/1113008.html;
                 http://catalog.hathitrust.org/Record/000033210",
  acknowledgement = ack-nhfb,
  author-dates = "1893--1974",
  subject =      "Einstein, Albert",
  subject-dates = "1879--1955",
  tableofcontents = "Part One: Einstein --- an Analysis \\
                 1. Biographical sketch / 3 \\
                 2. Albert Einstein / 11 \\
                 3. Conceptions and Misconceptions / 21 \\
                 4. Einstein's Cosmic Philosophy / 36 \\
                 5. Einstein, Master of Statistical Reasoning / 51 \\
                 6. The Space--Time Revolution of 1905--15 / 68 \\
                 7. $E = m c^2$ / 96 \\
                 8. Einstein's Genius / 106 \\
                 9. An Interview with Einstein in 1908 / ??? \\
                 Part Two: Synopsis of Einstein's scientific
                 publications between 1905 and 1915 \\
                 1905 / 127 \\
                 1906 / 140 \\
                 1907 / 145 \\
                 1908 / 155 \\
                 1909 / 160 \\
                 1910 / 165 \\
                 1911 / 173 \\
                 1912 / 182 \\
                 1913 / 192 \\
                 1914 / 200 \\
                 1915 / 208",
}

@Book{Lanczos:1974:EDb,
  author =       "Cornelius Lanczos",
  title =        "The {Einstein} decade, 1905--1915",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xiv + 230",
  year =         "1974",
  ISBN =         "0-12-435840-3",
  ISBN-13 =      "978-0-12-435840-9",
  LCCN =         "QC16.E5 L33 1974",
  MRclass =      "01A75 (01A70)",
  MRnumber =     "0389517 (52 \#10348)",
  bibdate =      "Wed Jun 8 14:42:43 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/einstein.bib;
                 z3950.loc.gov:7090/Voyager",
  URL =          "http://catalog.hathitrust.org/api/volumes/oclc/1113008.html;
                 http://catalog.hathitrust.org/Record/000033210",
  acknowledgement = ack-nhfb,
  author-dates = "1893--1974",
  subject =      "Einstein, Albert",
  subject-dates = "1879--1955",
}

@Article{Lanczos:1974:EJE,
  author =       "L{\'a}nczos{ }Korn{\'e}l",
  title =        "{Einstein} {\'e}s a {J}{\"o}v{\'o} [{Einstein} and the
                 Future]",
  journal =      j-FIZ-SZ,
  volume =       "24",
  number =       "6",
  pages =        "161--167",
  month =        "????",
  year =         "1974",
  CODEN =        "FISZA6",
  ISSN =         "0015-3257 (print), 1588-0540 (electronic)",
  ISSN-L =       "0015-3257",
  bibdate =      "Mon Jun 20 15:20:26 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Lecture was given by Lanczos in Hungarian on the
                 occasion when he was elected as an honorary member of
                 the Roland E{\"o}tv{\"o}s Physical Society in Budapest,
                 1973.",
  acknowledgement = ack-nhfb,
  fjournal =     "Fizikai Szemle (Budapest)",
  journal-URL =  "http://www.kfki.hu/fszemle/archivum",
  language =     "Hungarian",
}

@Article{Lanczos:1974:EJH,
  author =       "L{\'a}nczos{ }Korn{\'e}l",
  title =        "{Einstein} {\'e}s a J{\"o}v{\'o}. ({Hungarian})
                 [{Einstein} and the future]",
  journal =      j-FIZ-SZ,
  volume =       "24",
  number =       "6",
  pages =        "166--??",
  month =        jun,
  year =         "1974",
  CODEN =        "FISZA6",
  ISSN =         "0015-3257 (print), 1588-0540 (electronic)",
  ISSN-L =       "0015-3257",
  bibdate =      "Thu Jun 09 17:52:29 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Fizikai Szemle (Budapest)",
  journal-URL =  "http://www.kfki.hu/fszemle/archivum",
  language =     "Hungarian",
}

@InProceedings{Lanczos:1974:SPG,
  author =       "Cornelius Lanczos",
  title =        "Symmetry and the principles of geometry",
  crossref =     "Glockner:1974:SSG",
  pages =        "3--21",
  year =         "1974",
  bibdate =      "Mon Jun 20 15:25:29 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Lanczos:1974:VPR,
  author =       "C. Lanczos",
  title =        "Vector potential and {Riemannian} space",
  journal =      j-FOUND-PHYS,
  volume =       "4",
  number =       "1",
  pages =        "137--147",
  month =        "????",
  year =         "1974",
  CODEN =        "FNDPA4",
  DOI =          "https://doi.org/10.1007/BF00708564",
  ISSN =         "0015-9018 (print), 1572-9516 (electronic)",
  ISSN-L =       "0015-9018",
  MRclass =      "83.53",
  MRnumber =     "0408718 (53 \#12481)",
  MRreviewer =   "C. W. Kilmister",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  abstract =     "This paper uncovers the basic reason for the
                 mysterious change of sign from plus to minus in the
                 fourth coordinate of nature's Pythagorean law, usually
                 accepted on empirical grounds, although it destroys the
                 rational basis of a Riemannian geometry. Here we assume
                 a genuine, positive-definite Riemannian space and an
                 action principle which is quadratic in the curvature
                 quantities (and thus scale invariant). The constant $
                 \sigma $ between the two basic invariants is equated to
                 1/2. Then the matter tensor has the trace zero. In
                 consequence of the constancy of the scalar curvature
                 and the divergence identity of the matter tensor, the
                 perturbation metric has to satisfy a scalar and a
                 vector condition, with a negative sign in the fourth
                 coordinate. These conditions lead to the Lorentz
                 condition and the wave equation for the vector
                 potential. Thus the entire Maxwell--Lorentz type of
                 electrodynamics becomes logically derivable, making no
                 concession to any irrationality.",
  acknowledgement = ack-nhfb,
  fjournal =     "Foundations of Physics. An International Journal
                 Devoted to the Conceptual Bases and Fundamental
                 Theories of Modern Physics, Biophysics, and Cosmology",
  journal-URL =  "http://link.springer.com/journal/10701",
}

@Article{Lanczos:1975:FAR,
  author =       "Cornelius Lanczos and Barbara Gellai",
  title =        "{Fourier} analysis of random sequences",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "1",
  number =       "3--4",
  pages =        "269--276",
  month =        "????",
  year =         "1975",
  CODEN =        "CMAPDK",
  DOI =          "https://doi.org/10.1016/0898-1221(75)90025-5",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  MRclass =      "65C10",
  MRnumber =     "0448801 (56 \#7106)",
  MRreviewer =   "George Marsaglia",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibdate =      "Wed Mar 1 18:51:12 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl1970.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0898122175900255",
  ZMnumber =     "Zbl 0366.65005",
  abstract =     "Computer-generated random sequences were submitted to
                 a Fourier analysis. The distribution of the phase angle
                 was not uniform over the circle, but some ``bald
                 patches'' remained. The Fourier analysis itself allows
                 the construction of ideal random sequences. For an
                 ``ideal white noise'' the amplitudes were chosen as
                 one, whereas the phase angles were uniformly
                 distributed. For an ``ideal random noise'' both phase
                 angles and amplitudes were uniformly distributed. Thus,
                 ideal noise patterns were obtained which were analysed
                 statistically.",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
  remark =       "From the publisher: Professor Lanczos dealt with the
                 topic mentioned in the title of this article during the
                 last months of his life, however, he did not prepare
                 any manuscript. The co-author's aim has been to collect
                 and arrange the ideas obtained from him by oral
                 communication or by letter into this single article
                 which should by no means be regarded as a complete
                 work. Had he not died, Lanczos would most certainly
                 have provided theoretical and practical complementation
                 of the topic. Nevertheless, publication is felt to be
                 appropriate since the considerations presented here may
                 well be of interest.",
}

@Article{Lanczos:1975:GRS,
  author =       "C. Lanczos",
  title =        "Gravitation and {Riemannian} space",
  journal =      j-FOUND-PHYS,
  volume =       "5",
  number =       "1",
  pages =        "9--18",
  month =        "????",
  year =         "1975",
  CODEN =        "FNDPA4",
  DOI =          "https://doi.org/10.1007/BF01100310",
  ISSN =         "0015-9018 (print), 1572-9516 (electronic)",
  ISSN-L =       "0015-9018",
  MRclass =      "83.33",
  MRnumber =     "0484223 (58 \#4150)",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  abstract =     "The field equations of the quadratic action principle
                 of relativity are solved, assuming a weak perturbation
                 of the basic structure, which is a highly agitated
                 Riemannian lattice field of a very small lattice
                 constant. A field emerges which can be interpreted as
                 the weak gravitational field of an apparently
                 Minkowskian space. This field does not coincide with
                 Einstein's theory of weak gravitational fields. Whereas
                 the redshift remains unchanged, the light deflection
                 becomes reduced by 11.1\% of the value predicted by
                 Einstein.",
  acknowledgement = ack-nhfb,
  fjournal =     "Foundations of Physics. An International Journal
                 Devoted to the Conceptual Bases and Fundamental
                 Theories of Modern Physics, Biophysics, and Cosmology",
  journal-URL =  "http://link.springer.com/journal/10701",
}

@Book{Lanczos:1976:GTF,
  author =       "L{\'a}nczos{ }Korn{\'e}l",
  title =        "A Geometriai {T}{\'e}rfogalom Fejl{\H{o}}d{\'e}se: {A}
                 geometriai fogalmak fejl d{\'e}se
                 {P}{\"u}thagoraszt{\'o}l Hilbertig {\'e}s Einsteinig
                 [{The} geometric concept of space development: The
                 development of geometric concepts from {Pythagoras} to
                 {Hilbert} and {Einstein}]",
  publisher =    "Gondolat",
  address =      "Budapest, Hungary",
  pages =        "323",
  year =         "1976",
  ISBN =         "963-280-206-3",
  ISBN-13 =      "978-963-280-206-0",
  LCCN =         "MC 71.363",
  bibdate =      "Mon Jun 20 15:26:29 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Translation to Hungarian by J{\'o}zsef Merza of {\em
                 Space Through the Ages}, Academic Press (1970).",
  acknowledgement = ack-nhfb,
  language =     "Hungarian",
}

@Book{Lanczos:1977:VPM,
  author =       "Cornelius Lanczos",
  title =        "The variational principles of mechanics",
  volume =       "4",
  publisher =    pub-U-TORONTO,
  address =      pub-U-TORONTO:adr,
  edition =      "Fourth",
  pages =        "xxix + 418",
  year =         "1977",
  ISBN =         "0-8020-1743-6",
  ISBN-13 =      "978-0-8020-1743-7",
  LCCN =         "QA805 .L278 1970",
  bibdate =      "Wed Jun 8 14:22:37 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 library.anu.edu.au:210/INNOPAC",
  series =       "Mathematical expositions",
  acknowledgement = ack-nhfb,
  subject =      "Mechanics, Analytic",
}

@Book{Lanczos:1978:EEH,
  author =       "L{\'a}nczos{ }Korn{\'e}l",
  title =        "{Einstein} {\'e}vtizede (1905--1915). ({Hungarian})
                 [{The} {Einstein} decade (1905--1915)]",
  publisher =    "Magvet{\H{o}}",
  address =      "Budapest, Hungary",
  pages =        "233",
  year =         "1978",
  ISBN =         "963-270-754-0",
  ISBN-13 =      "978-963-270-754-9",
  LCCN =         "????",
  bibdate =      "Tue Jun 14 15:46:48 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Translated from English to Hungarian by Stephen Terts.
                 Preface by Anthony Muller. Commentary by Imre Kondor.",
  acknowledgement = ack-nhfb,
  language =     "Hungarian",
}

@InCollection{Lanczos:1978:LSS,
  author =       "Cornelius Lanczos",
  title =        "Linear systems in self-adjoint form",
  crossref =     "Abbott:1978:CPC",
  pages =        "??--??",
  year =         "1978",
  bibdate =      "Wed Jun 08 17:32:43 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  remark =       "Chauvenet Prize paper.",
}

@Book{Lanczos:1986:VPM,
  author =       "Cornelius Lanczos",
  title =        "The variational principles of mechanics",
  publisher =    pub-DOVER,
  address =      pub-DOVER:adr,
  edition =      "Fourth",
  pages =        "xxix + 418",
  year =         "1986",
  ISBN =         "0-486-65067-7 (paperback)",
  ISBN-13 =      "978-0-486-65067-8 (paperback)",
  LCCN =         "QA805 .L278 1986",
  bibdate =      "Wed Jun 8 14:42:43 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 z3950.loc.gov:7090/Voyager",
  price =        "US\$10.00",
  series =       "Dover books on physics and chemistry",
  URL =          "http://www.loc.gov/catdir/description/dover032/85029168.html;
                 http://www.loc.gov/catdir/toc/dover031/85029168.html",
  acknowledgement = ack-nhfb,
  author-dates = "1893--1974",
  remark =       "Reprint. Originally published: Toronto: University of
                 Toronto Press, c1970. (Mathematical expositions; no.
                 4).",
  subject =      "Mechanics, Analytic; Variational principles",
}

@Book{Lanczos:1988:AA,
  author =       "Cornelius Lanczos",
  title =        "Applied analysis",
  publisher =    pub-DOVER,
  address =      pub-DOVER:adr,
  pages =        "xx + 539",
  year =         "1988",
  ISBN =         "0-486-65656-X",
  ISBN-13 =      "978-0-486-65656-4",
  MRclass =      "65-01",
  MRnumber =     "1020056 (90k:65004)",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "Reprint of the 1956 original",
  series =       "Dover Books on Advanced Mathematics",
  URL =          "http://www.loc.gov/catdir/description/dover032/88003961.html",
  acknowledgement = ack-nhfb,
  remark =       "Chapter 3 discusses the Lanczos algorithms for solving
                 eigenvalue problems \cite{Lanczos:1950:IMS} and
                 linear-equation systems \cite{Lanczos:1952:SSL}. Pages
                 464--507 treat the Lanczos tau method for function
                 approximation.",
  subject =      "Mathematical analysis; Mathematical physics",
}

@Book{Marx:1993:LK,
  author =       "{Marx Gy{\"o}rgy}",
  title =        "{L{\'a}nczos Korn{\'e}l: 1893\slash 1993}",
  volume =       "15",
  publisher =    "Fej{\'e}r Megyei Lev{\'e}lt{\'a}r",
  address =      "Sz{\'e}kesfeh{\'e}rv{\'a}r, Hungary",
  pages =        "122",
  year =         "1993",
  ISBN =         "963-7233-17-2",
  ISBN-13 =      "978-963-7233-17-3",
  LCCN =         "QA29 .L36 1995",
  bibdate =      "Wed Jun 08 19:10:08 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  series =       "Fej{\'e}r Megyei Lev{\'e}lt{\'a}r
                 k{\"o}zlem{\'e}nyei",
  acknowledgement = ack-nhfb,
  language =     "Hungarian",
  xxnote =       "Check publisher and address??",
}

@Book{Lanczos:1996:LDO,
  author =       "Cornelius Lanczos",
  title =        "Linear differential operators",
  volume =       "18",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xviii + 564",
  year =         "1996",
  ISBN =         "0-89871-370-6 (paperback), 1-61197-118-7 (e-book)",
  ISBN-13 =      "978-0-89871-370-1 (paperback), 978-1-61197-118-7
                 (e-book)",
  LCCN =         "QA432 .L3 1996",
  MRclass =      "00A05 (01A75 34-00 35-00 65-00)",
  MRnumber =     "1393942 (97c:00002)",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Corrected reprint of the 1961 original",
  series =       "Classics in Applied Mathematics",
  abstract =     "Originally published in 1961, this Classics edition
                 continues to be appealing because it describes a large
                 number of techniques still useful today. Although the
                 primary focus is on the analytical theory, concrete
                 cases are cited to forge the link between theory and
                 practice. Considerable manipulative skill in the
                 practice of differential equations is to be developed
                 by solving the 350 problems in the text. The problems
                 are intended as stimulating corollaries linking theory
                 with application and providing the reader with the
                 foundation for tackling more difficult problems.
                 Lanczos begins with three introductory chapters that
                 explore some of the technical tools needed later in the
                 book, and then goes on to discuss interpolation,
                 harmonic analysis, matrix calculus, the concept of the
                 function space, boundary value problems, and the
                 numerical solution of trajectory problems, among other
                 things. The emphasis is constantly on one question:
                 ``What are the basic and characteristic properties of
                 linear differential operators?'' In the author's words,
                 this book is written for those ``to whom a problem in
                 ordinary or partial differential equations is not a
                 problem of logical acrobatism, but a problem in the
                 exploration of the physical universe. To get an
                 explicit solution of a given boundary value problem is
                 in this age of large electronic computers no longer a
                 basic question. But of what value is the numerical
                 answer if the scientist does not understand the
                 peculiar analytical properties and idiosyncrasies of
                 the given operator? The author hopes that this book
                 will help in this task by telling something about the
                 manifold aspects of a fascinating field.''.",
  acknowledgement = ack-nhfb,
  subject =      "Calculus, Operational; Differential equations,
                 Linear",
  tableofcontents = "Preface \\
                 Bibliography \\
                 Chapter 1. Interpolation \\
                 Chapter 2. Harmonic analysis \\
                 Chapter 3. Matrix calculus \\
                 Chapter 4. The function space \\
                 Chapter 5. The Green's function \\
                 Chapter 6. Communication problems \\
                 Chapter 7. Sturm-Liouville problems \\
                 Chapter 8. Boundary value problems \\
                 Chapter 9. Numerical solution of trajectory problems
                 \\
                 Appendix \\
                 Index",
}

@Book{Lanczos:1997:LDO,
  author =       "Cornelius Lanczos",
  title =        "Linear differential operators",
  publisher =    pub-DOVER,
  address =      pub-DOVER:adr,
  pages =        "xvi + 564",
  year =         "1997",
  ISBN =         "0-486-68035-5",
  ISBN-13 =      "978-0-486-68035-4",
  LCCN =         "QA432 .L3 1997",
  MRclass =      "34-01 (65-01)",
  MRnumber =     "1613431 (98m:34001)",
  bibdate =      "Wed Jun 8 13:51:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Reprint of the 1961 original",
  URL =          "http://www.loc.gov/catdir/description/dover031/97026069.html",
  acknowledgement = ack-nhfb,
  subject =      "Calculus, Operational; Differential equations,
                 Linear",
}

@Article{Lanczos:1997:SCS,
  author =       "Cornelius Lanczos",
  title =        "On a Stationary Cosmology in the Sense of {Einstein}'s
                 {Theory of Gravitation}",
  journal =      j-GEN-RELATIVITY-GRAV,
  volume =       "29",
  number =       "3",
  pages =        "363--399",
  month =        "????",
  year =         "1997",
  CODEN =        "GRGVA8",
  DOI =          "https://doi.org/10.1023/A:1010277120072",
  ISSN =         "0001-7701 (print), 1572-9532 (electronic)",
  ISSN-L =       "0001-7701",
  bibdate =      "Thu Jun 09 16:51:27 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 SAO/NASA Astrophysics Data System",
  note =         "Translation by C. Hoenselaers of original German
                 version \cite{Lanczos:1924:SKI}.",
  URL =          "http://adsabs.harvard.edu/abs/1997GReGr..29..361L",
  abstract =     "A world is to be considered stationary in the sense of
                 general relativity if the coefficients of its metric
                 are independent of time in a coordinate system in which
                 the masses are at rest on average. The remark on the
                 system of coordinates is important because time itself
                 is no invariant notion but is taken only in the sense
                 of proper time. Our definition is unique, in the form
                 given above. On the other hand it is also possible to
                 have points where no matter is present. At such points
                 we may place a test body of infinitesimally small mass
                 and analyse whether it remains at rest in our
                 coordinate system. A necessary and sufficient condition
                 for this is that the time lines of our coordinate
                 system are geodesics. Therefore the static solution
                 given by de Sitter is not an example of a stationary
                 world. The Schwarzschild line element which, from a
                 cosmological point of view, is a world with a single
                 central body can also not be considered a stationary
                 solution. Indeed, there are no stationary solutions
                 which are also spherically symmetric for the original
                 field equations. The only such solution for the
                 cosmological equations is Einstein's cylinder world. It
                 is, to my knowledge, the only stationary world known so
                 far. In that case the average matter density and the
                 total mass of the world has to have a well defined
                 value given by the cosmological constant which
                 doubtless would be purely coincidental and is thus not
                 a satisfactory assumption. In the following we shall
                 discuss a new solution which is in accord with the
                 original field equations without the need of an a
                 priori relation between mass and cosmological constant.
                 However, we shall find that its mass cannot be less
                 than the mass of the cylinder world.",
  acknowledgement = ack-nhfb,
  fjournal =     "General Relativity and Gravitation",
  journal-URL =  "http://link.springer.com/journal/10714",
  xxpages =      "361--399",
}

@Article{Lanczos:2004:RHM,
  author =       "C. Lanczos",
  title =        "The relations of the homogeneous {Maxwell}'s equations
                 to the theory of functions",
  journal =      "ArXiv Physics e-prints",
  month =        aug,
  year =         "2004",
  CODEN =        "APRHCB",
  bibdate =      "Fri Jun 10 15:01:33 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 SAO/NASA Astrophysics Data System",
  URL =          "http://adsabs.harvard.edu/abs/2004physics...8079L",
  acknowledgement = ack-nhfb,
  eprint =       "arXiv:physics/0408079",
  keywords =     "Physics - History of Physics, Physics - Classical
                 Physics",
}

@Article{Lanczos:2005:CFD,
  author =       "C. Lanczos",
  title =        "On the covariant formulation of {Dirac}'s equation",
  journal =      "ArXiv Physics e-prints",
  month =        aug,
  year =         "2005",
  CODEN =        "APRHCB",
  bibdate =      "Fri Jun 10 15:02:03 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 SAO/NASA Astrophysics Data System",
  URL =          "http://adsabs.harvard.edu/abs/2005physics...8012L",
  acknowledgement = ack-nhfb,
  eprint =       "arXiv:physics/0508012",
  keywords =     "Physics - History of Physics",
}

@Article{Lanczos:2005:CLF,
  author =       "C. Lanczos",
  title =        "The conservation laws in the field theoretical
                 representation of {Dirac}'s theory",
  journal =      "ArXiv Physics e-prints",
  month =        aug,
  year =         "2005",
  CODEN =        "APRHCB",
  bibdate =      "Fri Jun 10 15:02:03 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 SAO/NASA Astrophysics Data System",
  URL =          "http://adsabs.harvard.edu/abs/2005physics...8013L",
  acknowledgement = ack-nhfb,
  eprint =       "arXiv:physics/0508013",
  keywords =     "Physics - History of Physics",
}

@Article{Lanczos:2005:DWM,
  author =       "C. Lanczos",
  title =        "{Dirac}'s wave mechanical theory of the electron and
                 its field theoretical interpretation",
  journal =      "ArXiv Physics e-prints",
  month =        aug,
  year =         "2005",
  CODEN =        "APRHCB",
  bibdate =      "Fri Jun 10 15:02:03 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 SAO/NASA Astrophysics Data System",
  URL =          "http://adsabs.harvard.edu/abs/2005physics...8009L",
  acknowledgement = ack-nhfb,
  eprint =       "arXiv:physics/0508009",
  keywords =     "Physics - History of Physics",
}

@Article{Lanczos:2005:TAR,
  author =       "C. Lanczos",
  title =        "The tensor analytical relationships of {Dirac}'s
                 equation",
  journal =      "ArXiv Physics e-prints",
  month =        aug,
  year =         "2005",
  CODEN =        "APRHCB",
  bibdate =      "Fri Jun 10 15:02:03 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 SAO/NASA Astrophysics Data System",
  URL =          "http://adsabs.harvard.edu/abs/2005physics...8002L",
  acknowledgement = ack-nhfb,
  eprint =       "arXiv:physics/0508002",
  keywords =     "Physics - History of Physics",
}

%%% ====================================================================
%%%     Part 2 (of 2): publications about Lanczos and his works
%%%
%%% NB: There are MANY published mathematical and scientific papers with
%%% Lanczos in their titles, but we include only a subset of them here
%%% to give an idea of the impact of Lanczos' work.

@Article{Reichenbacher:1923:BAK,
  author =       "Ernst Reichenb{\"a}cher",
  title =        "{Bemerkung zu der Arbeit von Kornel Lanczos: Zum
                 Rotationsproblem der allgemeinen
                 Relativit{\"a}tstheorie}. ({German}) [{Remark} on the
                 work of {Kornel Lanczos}: {{\em On the Rotation Problem
                 in the Theory of General Relativity}}]",
  journal =      j-Z-PHYSIK,
  volume =       "15",
  number =       "1",
  pages =        "273--275",
  month =        "????",
  year =         "1923",
  CODEN =        "ZEPYAA",
  DOI =          "https://doi.org/10.1007/BF01330477",
  ISSN =         "0044-3328",
  bibdate =      "Thu Jun 09 15:19:38 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "{Zeitschrift f{\"u}r Physik}",
  journal-URL =  "http://link.springer.com/journal/218",
  language =     "German",
}

@Article{Eckart:1926:SPS,
  author =       "Carl Eckart",
  title =        "The Solution of the Problem of the Simple Oscillator
                 by a Combination of the {Schroedinger} and the
                 {Lanczos} Theories",
  journal =      j-PROC-NATL-ACAD-SCI-USA,
  volume =       "12",
  number =       "6",
  pages =        "473--476",
  month =        "????",
  year =         "1926",
  CODEN =        "PNASA6",
  ISSN =         "0027-8424 (print), 1091-6490 (electronic)",
  ISSN-L =       "0027-8424",
  bibdate =      "Fri Jun 10 15:16:08 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the National Academy of Sciences of the
                 United States of America",
  journal-URL =  "http://www.pnas.org/search",
}

@Book{Kryloff:1931:MSA,
  author =       "N. Kryloff",
  title =        "Les m{\'e}thodes de solution approch{\'e}e des
                 probl{\`e}mes de la physique math{\'e}matique",
  publisher =    "Gauthier-Villars",
  address =      "Paris, France",
  pages =        "????",
  year =         "1931",
  LCCN =         "????",
  bibdate =      "Sat Jun 11 15:13:04 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Krylov:1931:NSE,
  author =       "A. N. Krylov",
  title =        "On the numerical solution of the equation by which, in
                 technical matters, frequencies of small oscillations of
                 material systems are determined",
  journal =      "Izvestija Akademia Nauk SSSR. Otdel. mat. i estest.
                 nauk",
  volume =       "7",
  number =       "4",
  pages =        "491--539",
  month =        "????",
  year =         "1931",
  bibdate =      "Sat Jun 11 12:23:04 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://alexei-krylov.co.tv/;
                 http://ta.twi.tudelft.nl/users/viuk/burgers/krylov.html;
                 http://www.encyclopedia.com/doc/1G2-2830902397.html",
  acknowledgement = ack-nhfb,
  keywords =     "iteration solution of large eigenvalue problems",
  language =     "Russian",
  remark =       "This is the paper in which the Krylov subspace method
                 for eigensolutions is introduced.",
  xxtitle =      "On the numerical solution of equations whose solution
                 determine the frequency of small vibrations of material
                 systems",
}

@Article{Luzin:1931:MMK,
  author =       "N. Luzin",
  title =        "Sur la m{\'e}thode de {Mr. A. Krylov} de composition
                 de l'{\'e}quation s{\'e}culaire. ({French}) [{On} the
                 method of {Mr. A. Krylov} for the composition of the
                 secular equation]",
  journal =      "Bull. Acad. Sci. URSS",
  volume =       "1931",
  number =       "7",
  pages =        "903--958",
  year =         "1931",
  bibdate =      "Fri Nov 10 16:19:00 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  ZMnumber =     "0004.04902",
  acknowledgement = ack-nhfb,
  fjournal =     "Bulletin de l'Acad{\'e}mie des Sciences de l'URSS.
                 VII. S{\'e}rie",
  language =     "Russian",
  ZBmath =       "3004266",
}

@PhdThesis{Danielson:1940:IPF,
  author =       "Gordon Charles Danielson",
  title =        "Improvement in practical {Fourier} analysis and their
                 application to {X}-ray scattering from liquids",
  type =         "{Ph.D.} Thesis",
  school =       "Purdue University",
  address =      "West Lafayette, IN, USA",
  pages =        "95",
  year =         "1940",
  bibdate =      "Sat Jun 11 16:38:19 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  author-dates = "1912--1983",
  remark =       "Nowack \cite[p. 396]{Nowack:1994:DFA} says ``Mrs.
                 Dorothy Danielson recently commented that her husband
                 came to know Lanczos as a graduate student in one of
                 his mathematics classes, and that Lanczos suggested
                 that they work together on an idea for rapid evaluation
                 in Fourier analysis (personal communication, 1993).
                 This became part of Danielson's Ph.D. thesis. as well
                 as publications with Lanczos
                 \cite{Danielson:1942:SIPa,Danielson:1942:SIPa}.''",
}

@Article{Cooper:1948:SNF,
  author =       "J. L. B. Cooper",
  title =        "The Solution of Natural Frequency Equations by
                 Relaxation Methods",
  journal =      j-QUART-APPL-MATH,
  volume =       "6",
  number =       "??",
  pages =        "179--183",
  month =        "????",
  year =         "1948",
  CODEN =        "QAMAAY",
  ISSN =         "0033-569x (print), 1552-4485 (electronic)",
  ISSN-L =       "0033-569X",
  bibdate =      "Sat Jun 11 12:48:32 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.ams.org/publications/journals/journalsframework/qam",
  acknowledgement = ack-nhfb,
  fjournal =     "Quarterly of Applied Mathematics",
  journal-URL =  "http://dl.acm.org/citation.cfm?id=J641;
                 http://www.ams.org/journals/qam",
  keywords =     "iteration solution of large eigenvalue problems",
  remark =       "Back issues of this journal, but only to 2005, are
                 available at links from the URL.",
}

@Article{Arnoldi:1951:PMI,
  author =       "W. E. Arnoldi",
  title =        "The principle of minimized iteration in the solution
                 of the matrix eigenvalue problem",
  journal =      j-QUART-APPL-MATH,
  volume =       "9",
  number =       "??",
  pages =        "17--29",
  month =        "????",
  year =         "1951",
  CODEN =        "QAMAAY",
  ISSN =         "0033-569x (print), 1552-4485 (electronic)",
  ISSN-L =       "0033-569X",
  bibdate =      "Sat Jun 11 12:21:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.ams.org/publications/journals/journalsframework/qam",
  acknowledgement = ack-nhfb,
  ajournal =     "Quart. Appl. Math.",
  fjournal =     "Quarterly of Applied Mathematics",
  journal-URL =  "http://dl.acm.org/citation.cfm?id=J641;
                 http://www.ams.org/journals/qam",
  keywords =     "iteration solution of large eigenvalue problems",
  remark =       "This is the paper in which the Arnoldi method for
                 eigensolutions is introduced.",
  remark-2 =     "Back issues of this journal, but only to 2005, are
                 available at links from the URL.",
}

@Article{Karush:1951:IMF,
  author =       "W. Karush",
  title =        "An iterative method for finding characteristic vectors
                 of a symmetric matrix",
  journal =      j-PAC-J-MATH,
  volume =       "1",
  number =       "2",
  pages =        "233--248",
  month =        "????",
  year =         "1951",
  CODEN =        "PJMAAI",
  DOI =          "https://doi.org/10.2140/pjm.1951.1.233",
  ISSN =         "0030-8730 (print), 1945-5844 (electronic)",
  ISSN-L =       "0030-8730",
  bibdate =      "Fri Nov 10 07:22:10 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "https://msp.org/pjm/1951/1-2/p07.xhtml",
  acknowledgement = ack-nhfb,
  fjournal =     "Pacific Journal of Mathematics",
  journal-URL =  "http://msp.org/pjm",
}

@Article{Lewis:1951:BRC,
  author =       "D. C. Lewis",
  title =        "Book Review: {Cornelius Lanczos, {\em The variational
                 principles of mechanics}, (Mathematical Expositions,
                 no. 4.) Toronto, University of Toronto Press, 1949. xxv
                 + 307 pp}",
  journal =      j-BULL-AMS,
  volume =       "57",
  number =       "1 (part 1)",
  pages =        "88--91",
  month =        "????",
  year =         "1951",
  CODEN =        "BAMOAD",
  ISSN =         "0002-9904 (print), 1936-881X (electronic)",
  ISSN-L =       "0002-9904",
  bibdate =      "Sat Jun 11 00:10:37 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://projecteuclid.org/euclid.bams/1183515808",
  acknowledgement = ack-nhfb,
  fjournal =     "Bulletin of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/bull/all_issues.html",
}

@Article{Rutishauser:1953:BKB,
  author =       "H. Rutishauser",
  title =        "{Beitrage zur Kentniss des
                 Biorthogonalisierungs-Algorithmus von Lanczos}.
                 ({German}) [{Contributions} to the understanding of the
                 {Lanczos} biorthogonalization algorithm]",
  journal =      j-Z-ANGE-MATH-PHYS,
  volume =       "4",
  number =       "??",
  pages =        "35--56",
  month =        "????",
  year =         "1953",
  CODEN =        "ZAMPDB",
  ISSN =         "0044-2275 (print), 1420-9039 (electronic)",
  ISSN-L =       "0044-2275",
  MRnumber =     "MR55307",
  bibdate =      "Sat Jun 11 00:06:52 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  ZMnumber =     "0050.01008",
  acknowledgement = ack-nhfb,
  ajournal =     "Z. Angew. Math. Physik",
  fjournal =     "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik
                 = Journal of Applied Mathematics and Physics}",
  journal-URL =  "http://link.springer.com/journal/33",
  language =     "German",
}

@Article{Anonymous:1956:CLM,
  author =       "Anonymous",
  title =        "Computation by {Lanczos}'s method",
  journal =      j-J-INST-ELECTR-ENG,
  volume =       "2",
  number =       "22",
  pages =        "607--607",
  month =        "????",
  year =         "1956",
  CODEN =        "JISEAL",
  DOI =          "https://doi.org/10.1049/jiee-3.1956.0275",
  ISSN =         "0368-2692",
  bibdate =      "Sat Jun 11 00:37:44 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Institution of Electrical Engineers",
  journal-URL =  "http://ieeexplore.ieee.org/servlet/opac?punumber=5308791",
}

@Article{Brooker:1956:MLC,
  author =       "R. A. Brooker and F. H. Sumner",
  title =        "The method of {Lanczos} for calculating the
                 characteristic roots and vectors of a real symmetric
                 matrix",
  journal =      "Proceedings of the IEE --- Part B: Radio and
                 Electronic Engineering",
  volume =       "103",
  number =       "1",
  pages =        "114--119",
  month =        apr,
  year =         "1956",
  DOI =          "https://doi.org/10.1049/pi-b-1.1956.0024",
  bibdate =      "Sat Jun 11 00:29:22 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  abstract =     "The paper draws attention to a method suggested by
                 Lanczos for arriving at the reduced characteristic
                 function of a matrix, and shows how it may be used with
                 an electronic computer to evaluate automatically the
                 characteristic roots and vectors of a real symmetric
                 matrix, no matter how degenerate.",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5242809",
}

@TechReport{Minhinnick:1956:TDN,
  author =       "I. T. Minhinnick",
  title =        "The Theoretical Determination of Normal Modes and
                 Frequencies of Vibration",
  type =         "A.R.C. Technical Reports and Memoranda",
  number =       "3039",
  institution =  "Aeronautical Research Council, Ministry of Supply",
  address =      "Bedford, UK",
  pages =        "i + 31",
  year =         "1956",
  bibdate =      "Sat Jun 11 15:01:27 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://aerade.cranfield.ac.uk/ara/arc/rm/3039.pdf",
  acknowledgement = ack-nhfb,
  remark =       "Refers to \cite{Kryloff:1931:MSA}, but not to Arnoldi
                 or Lanczos.",
}

@Article{Bellman:1957:RPA,
  author =       "Richard Bellman",
  title =        "Recent Publications: {{\em Applied Analysis}, by C.
                 Lanczos. Prentice-Hall, Englewood Cliffs, NJ, 1957, xx
                 + 539pp. \$9.00}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "64",
  number =       "6",
  pages =        "447--448",
  month =        jun # "\slash " # jul,
  year =         "1957",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:38:40 MDT 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 JSTOR database",
  URL =          "http://www.jstor.org/stable/2310192",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
}

@Article{Teichmann:1957:BRA,
  author =       "T. Teichmann",
  title =        "Book Review: {{\em Applied Analysis} by Cornelius
                 Lanczos, 539 pp. Prentice-Hall, Inc., Englewood Cliffs,
                 NJ, 1956}",
  journal =      j-PHYS-TODAY,
  volume =       "10",
  number =       "6",
  pages =        "44--44",
  month =        jun,
  year =         "1957",
  CODEN =        "PHTOAD",
  DOI =          "https://doi.org/10.1063/1.3060400",
  ISSN =         "0031-9228 (print), 1945-0699 (electronic)",
  ISSN-L =       "0031-9228",
  bibdate =      "Fri Jun 10 13:03:41 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Physics Today",
  journal-URL =  "http://www.physicstoday.org/",
}

@InProceedings{Wilkinson:1957:CEC,
  author =       "J. H. Wilkinson",
  title =        "The Calculation of the Eigenvectors of Codiagonal
                 Matrices Produced by the {Givens} and {Lanczos}
                 Processes",
  crossref =     "Griffith:1957:DPA",
  pages =        "112:1--112:15",
  year =         "1957",
  bibdate =      "Fri Jun 10 12:38:24 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib",
  acknowledgement = ack-nhfb,
}

@Article{Gregory:1958:RUL,
  author =       "Robert T. Gregory",
  title =        "Results Using {Lanczos}' Method for Finding
                 Eigenvalues of Arbitrary Matrices",
  journal =      j-J-SIAM,
  volume =       "6",
  number =       "2",
  pages =        "182--188",
  month =        jun,
  year =         "1958",
  CODEN =        "JSIMAV",
  ISSN =         "0368-4245 (print), 1095-712X (electronic)",
  ISSN-L =       "0036-1399",
  bibdate =      "Thu Oct 15 18:16:06 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Society for Industrial and Applied
                 Mathematics",
  journal-URL =  "http://epubs.siam.org/loi/smjmap.1",
}

@Article{Todd:1958:BRC,
  author =       "John Todd",
  title =        "Book Review: {Cornelius Lanczos, {\em Applied
                 analysis}}",
  journal =      j-BULL-AMS,
  volume =       "64",
  number =       "4",
  pages =        "210--211",
  month =        "????",
  year =         "1958",
  CODEN =        "BAMOAD",
  ISSN =         "0002-9904 (print), 1936-881X (electronic)",
  ISSN-L =       "0002-9904",
  bibdate =      "Sat Jun 11 00:08:53 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://projecteuclid.org/euclid.bams/1183522571",
  acknowledgement = ack-nhfb,
  fjournal =     "Bulletin of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/bull/all_issues.html",
}

@Article{Wilkinson:1958:CEM,
  author =       "J. H. Wilkinson",
  title =        "The Calculation of Eigenvectors by the Method of
                 {Lanczos}",
  journal =      j-COMP-J,
  volume =       "1",
  number =       "3",
  pages =        "148--152",
  month =        oct,
  year =         "1958",
  CODEN =        "CMPJA6",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  MRclass =      "65.00",
  MRnumber =     "MR0102915 (21 \#1700)",
  MRreviewer =   "H. Rutishauser",
  bibdate =      "Fri Sep 29 08:55:05 MDT 2000",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_03/",
  URL =          "http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_03/010148.sgm.abs.html;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_03/tiff/148.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_03/tiff/149.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_03/tiff/150.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_03/tiff/151.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_03/tiff/152.tif",
  acknowledgement = ack-nhfb,
  fjournal =     "The Computer Journal",
  journal-URL =  "http://comjnl.oxfordjournals.org/",
}

@Article{Schwerdtfeger:1960:DPL,
  author =       "H. Schwerdtfeger",
  title =        "Direct Proof of {Lanczos}' Decomposition Theorem",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "67",
  number =       "9",
  pages =        "855--860",
  month =        nov,
  year =         "1960",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:36:05 MDT 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
}

@Article{Causey:1961:LAT,
  author =       "R. L. Causey and R. T. Gregory",
  title =        "On {Lanczos}' Algorithm for Tridiagonalizing
                 Matrices",
  journal =      j-SIAM-REVIEW,
  volume =       "3",
  number =       "4",
  pages =        "322--328",
  month =        "????",
  year =         "1961",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1003063",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Thu Mar 27 09:04:46 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/3/4;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "October 1961",
}

@Article{Gillis:1962:BRL,
  author =       "J. Gillis",
  title =        "Book Review: {{\em Linear Differential Operators}, by
                 Cornelius Lanczosc}",
  journal =      j-PHYS-TODAY,
  volume =       "15",
  number =       "7",
  pages =        "51--51",
  month =        jul,
  year =         "1962",
  CODEN =        "PHTOAD",
  DOI =          "https://doi.org/10.1063/1.3058271",
  ISSN =         "0031-9228 (print), 1945-0699 (electronic)",
  ISSN-L =       "0031-9228",
  bibdate =      "Fri Jun 10 13:07:29 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Physics Today",
  journal-URL =  "http://www.physicstoday.org/",
}

@Article{Barton:1963:BRBf,
  author =       "D. E. Barton",
  title =        "Book Review: {{\booktitle{Linear Differential
                 Operators}}, by C. Lanczos. London; New York; Princeton
                 and Toronto: D. Van Nostrand Co. 1961, 564 pp}",
  journal =      j-BIOMETRIKA,
  volume =       "50",
  number =       "3/4",
  pages =        "555--555",
  month =        dec,
  year =         "1963",
  CODEN =        "BIOKAX",
  DOI =          "https://doi.org/10.2307/2333943",
  ISSN =         "0006-3444 (print), 1464-3510 (electronic)",
  ISSN-L =       "0006-3444",
  bibdate =      "Sat Jun 21 14:33:13 MDT 2014",
  bibsource =    "http://www.jstor.org/journals/00063444.html;
                 http://www.jstor.org/stable/i315448;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/biometrika1960.bib",
  URL =          "http://www.jstor.org/stable/2333943",
  acknowledgement = ack-nhfb,
  fjournal =     "Biometrika",
  journal-URL =  "http://www.jstor.org/journals/00063444.html",
}

@Article{Smithies:1963:BRL,
  author =       "F. Smithies",
  title =        "Book Review: {{\em Linear Differential Operators}, by
                 C. Lanczos. 580 pp. 1961 (Van Nostrand, London)}",
  journal =      j-MATH-GAZ,
  volume =       "47",
  number =       "361",
  pages =        "265--266",
  month =        oct,
  year =         "1963",
  CODEN =        "MAGAAS",
  ISSN =         "0025-5572 (print), 2056-6328 (electronic)",
  bibdate =      "Wed Jun 08 18:24:06 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.jstor.org/stable/3613434",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Gazette",
  journal-URL =  "http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
}

@InCollection{Householder:1964:PVV,
  author =       "Alston Scott Householder",
  title =        "Proper values and vectors: normalization and reduction
                 of the matrix (methods of {Krylov, Webber-Voetter,
                 Danilevskii, Hessenberg, Lanczos, Samuelson and Bryan,
                 Leverrier}, etc.)",
  crossref =     "Householder:1964:TMN",
  chapter =      "6",
  pages =        "??--??",
  year =         "1964",
  bibdate =      "Tue Jun 19 06:30:20 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Houston:1965:BRA,
  author =       "William V. Houston",
  title =        "Book Review: {{\em Albert Einstein and the cosmic
                 world order}, by Cornelius Lanczos, Interscience
                 Publishers, vi + 139 pp}",
  journal =      j-PHYS-TEACHER,
  volume =       "3",
  number =       "5",
  pages =        "231--231",
  month =        "????",
  year =         "1965",
  CODEN =        "PHTEAH",
  DOI =          "https://doi.org/10.1119/1.2349117",
  ISSN =         "0031-921X (print), 1943-4928 (electronic)",
  ISSN-L =       "0031-921X",
  bibdate =      "Fri Jun 10 13:12:45 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "The Physics Teacher",
  journal-URL =  "http://scitation.aip.org/content/aapt/journal/tpt",
}

@Article{Malamud:1965:BRA,
  author =       "Herbert Malamud",
  title =        "Book Review: {{\em Albert Einstein and the cosmic
                 world order}, by Cornelius Lanczos, Interscience
                 Publishers, vi + 139 pp}",
  journal =      j-PHYS-TODAY,
  volume =       "18",
  number =       "6",
  pages =        "54--54",
  month =        jun,
  year =         "1965",
  CODEN =        "PHTOAD",
  DOI =          "https://doi.org/10.1063/1.3047488",
  ISSN =         "0031-9228 (print), 1945-0699 (electronic)",
  ISSN-L =       "0031-9228",
  bibdate =      "Fri Jun 10 13:12:45 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Physics Today",
  journal-URL =  "http://www.physicstoday.org/",
}

@Article{Nesbet:1965:ADL,
  author =       "R. K. Nesbet",
  title =        "Algorithm for Diagonalization of Large Matrices",
  journal =      j-J-CHEM-PHYS,
  volume =       "43",
  number =       "1",
  pages =        "311--312",
  month =        "????",
  year =         "1965",
  CODEN =        "JCPSA6",
  DOI =          "https://doi.org/10.1063/1.1696477",
  ISSN =         "0021-9606 (print), 1089-7690 (electronic)",
  ISSN-L =       "0021-9606",
  bibdate =      "Fri Jun 10 21:51:24 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "See modification \cite{Shavitt:1970:MNA}.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Chemical Physics",
  journal-URL =  "http://scitation.aip.org/content/aip/journal/jcp/browse",
  keywords =     "iteration solution of large eigenvalue problems",
}

@Article{Seeger:1965:BRA,
  author =       "Raymond J. Seeger",
  title =        "Book Review: {{\em Albert Einstein and the cosmic
                 world order}, by Cornelius Lanczos, Interscience
                 Publishers, vi + 139 pp}",
  journal =      j-AMER-J-PHYSICS,
  volume =       "33",
  number =       "11",
  pages =        "972--972",
  month =        nov,
  year =         "1965",
  CODEN =        "AJPIAS",
  DOI =          "https://doi.org/10.1119/1.1971103",
  ISSN =         "0002-9505 (print), 1943-2909 (electronic)",
  ISSN-L =       "0002-9505",
  bibdate =      "Fri Jun 10 13:17:10 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "American Journal of Physics",
  journal-URL =  "http://scitation.aip.org/content/aapt/journal/ajp",
}

@Article{Brill:1966:RPP,
  author =       "Dieter Brill",
  title =        "Recent Publications and Presentations: {{\em Albert
                 Einstein and the Cosmic World Order}, by Cornelius
                 Lanczos}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "73",
  number =       "10",
  pages =        "1145--1145",
  month =        dec,
  year =         "1966",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:38:27 MDT 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
}

@Article{Broadbent:1966:BRA,
  author =       "T. A. A. Broadbent",
  title =        "Book Review: {{\em Albert Einstein and the Cosmic
                 World Order}, by Cornelius Lanczos. vi + 139 pp. 1956
                 (Wiley)}",
  journal =      j-MATH-GAZ,
  volume =       "50",
  number =       "371",
  pages =        "60--60",
  month =        feb,
  year =         "1966",
  CODEN =        "MAGAAS",
  ISSN =         "0025-5572 (print), 2056-6328 (electronic)",
  bibdate =      "Wed Jun 08 18:28:59 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.jstor.org/stable/3614838",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Gazette",
  journal-URL =  "http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
}

@Article{Kizner:1966:ECL,
  author =       "W. Kizner",
  title =        "Error curves for {Lanczos}' `selected points' method",
  journal =      j-COMP-J,
  volume =       "8",
  number =       "4",
  pages =        "372--382",
  month =        jan,
  year =         "1966",
  CODEN =        "CMPJA6",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  bibdate =      "Fri Sep 29 08:56:10 MDT 2000",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/",
  note =         "See comment \cite{Wright:1966:CEC}.",
  URL =          "http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/080372.sgm.abs.html;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/372.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/373.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/374.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/375.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/376.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/377.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/378.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/379.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/380.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/381.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/382.tif",
  acknowledgement = ack-nhfb,
  fjournal =     "The Computer Journal",
  journal-URL =  "http://comjnl.oxfordjournals.org/",
}

@Article{Wragg:1966:ULM,
  author =       "A. Wragg",
  title =        "The use of {Lanczos} $ \tau $-methods in the numerical
                 solution of a {Stefan} problem",
  journal =      j-COMP-J,
  volume =       "9",
  number =       "1",
  pages =        "106--109",
  month =        may,
  year =         "1966",
  CODEN =        "CMPJA6",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  bibdate =      "Fri Sep 29 08:56:12 MDT 2000",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_01/",
  URL =          "http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_01/090106.sgm.abs.html;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_01/tiff/106.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_01/tiff/107.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_01/tiff/108.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_01/tiff/109.tif",
  acknowledgement = ack-nhfb,
  fjournal =     "The Computer Journal",
  journal-URL =  "http://comjnl.oxfordjournals.org/",
}

@Article{Wrede:1966:BRA,
  author =       "R. C. Wrede",
  title =        "Book Review: {{\em Albert Einstein and the Cosmic
                 World Order}, by Cornelius Lanczos. vi + 139 pp. 1956
                 (Wiley)}",
  journal =      j-MATH-MAG,
  volume =       "39",
  number =       "1",
  pages =        "65--65",
  month =        jan,
  year =         "1966",
  CODEN =        "MAMGA8",
  ISSN =         "0025-570X",
  bibdate =      "Wed Jun 08 18:31:26 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.jstor.org/stable/2688999",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics Magazine",
  journal-URL =  "http://www.maa.org/pubs/mathmag.html",
}

@Article{Wright:1966:CEC,
  author =       "K. Wright",
  title =        "Correspondence: On {``Error curves for Lanczos
                 `selected points' method''}",
  journal =      j-COMP-J,
  volume =       "9",
  number =       "1",
  pages =        "115--115",
  month =        may,
  year =         "1966",
  CODEN =        "CMPJA6",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  bibdate =      "Fri Sep 29 08:56:12 MDT 2000",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_01/",
  note =         "See \cite{Kizner:1966:ECL}.",
  URL =          "http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_01/tiff/115.tif",
  acknowledgement = ack-nhfb,
  fjournal =     "The Computer Journal",
  journal-URL =  "http://comjnl.oxfordjournals.org/",
}

@Article{Dickinson:1967:RDF,
  author =       "David Dickinson",
  title =        "Reviews: {{\em Discourse on Fourier Series}}, by
                 {Cornelius Lanczos}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "74",
  number =       "6",
  pages =        "750--750",
  month =        jun # "\slash " # jul,
  year =         "1967",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:38:41 MDT 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
}

@Article{Yamamoto:1968:LAT,
  author =       "Tetsuro Yamamoto",
  title =        "On {Lanczos}' algorithm for tri-diagonalization",
  journal =      "J. Sci. Hiroshima Univ. Ser. A-I Math.",
  volume =       "32",
  number =       "2",
  pages =        "259--284",
  month =        "????",
  year =         "1968",
  MRnumber =     "MR0245193",
  bibdate =      "Sat Jun 11 00:04:38 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://projecteuclid.org/euclid.hmj/1206138652",
  ZMnumber =     "0181.17202",
  acknowledgement = ack-nhfb,
}

@Article{Ortiz:1969:TM,
  author =       "Eduardo L. Ortiz",
  title =        "The Tau Method",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "6",
  number =       "3",
  pages =        "480--492",
  month =        sep,
  year =         "1969",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/0706044",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@TechReport{Paige:1969:EAS,
  author =       "C. C. Paige",
  title =        "Error analysis of the symmetric {Lanczos} process for
                 the eigenproblem",
  type =         "Technical. Note",
  number =       "207",
  institution =  "Institute of Computer Science, The University of
                 London",
  address =      "London, UK",
  pages =        "????",
  year =         "1969",
  bibdate =      "Fri Nov 10 07:26:59 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Bender:1970:IPC,
  author =       "C. F. Bender and I. Shavitt",
  title =        "An Iterative Procedure for the Calculation of the
                 Lowest Real Eigenvalue and Eigenvector of a
                 Non-Symmetric Matrix",
  journal =      j-J-COMPUT-PHYS,
  volume =       "6",
  number =       "1",
  pages =        "146--149",
  month =        aug,
  year =         "1970",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(70)90014-8",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 09:15:01 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999170900148",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991",
  keywords =     "iteration solution of large eigenvalue problems",
}

@Article{Filippov:1970:BRN,
  author =       "Yu. A. Filippov",
  title =        "Book Review: {{\em Numbers without end}, by C.
                 Lanczos. Oliver and Boyd, Edinburgh, x + 164 pp.,
                 1968}",
  journal =      j-USSR-COMP-MATH-MATH-PHYS,
  volume =       "10",
  number =       "5",
  pages =        "335--336",
  month =        "????",
  year =         "1970",
  CODEN =        "CMMPA9",
  DOI =          "https://doi.org/10.1016/0041-5553(70)90062-5",
  ISSN =         "0041-5553, 0502-9902",
  ISSN-L =       "0041-5553",
  bibdate =      "Fri Jun 10 17:45:51 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "U.S.S.R. Computational Mathematics and Mathematical
                 Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00415553",
}

@Article{Goodstein:1970:BRN,
  author =       "R. L. Goodstein",
  title =        "Book Review: {{\em Numbers without end}, by C.
                 Lanczos, 164 p. 1968, Oliver \& Boyd, Edinburgh}",
  journal =      j-MATH-GAZ,
  volume =       "54",
  number =       "388",
  pages =        "174--175",
  month =        may,
  year =         "1970",
  CODEN =        "MAGAAS",
  ISSN =         "0025-5572 (print), 2056-6328 (electronic)",
  bibdate =      "Wed Jun 08 18:16:59 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.jstor.org/stable/3612127",
  abstract =     "This little book is based on a series of lectures at
                 Purdue University during World War II on mathematics as
                 a cultural subject and its vital role in the evolution
                 of human thought.",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Gazette",
  journal-URL =  "http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
}

@Article{Jammer:1970:BRS,
  author =       "Max Jammer",
  title =        "Book Review: {Space through the Ages. The Evolution of
                 Geometrical Ideas from Pythagoras to Hilbert and
                 Einstein. Cornelius Lanczos. Academic Press, New York,
                 1970. x + 322 pp., illus. \$11.50}",
  journal =      j-SCIENCE,
  volume =       "170",
  number =       "3963",
  pages =        "1183--1183",
  day =          "11",
  month =        dec,
  year =         "1970",
  CODEN =        "SCIEAS",
  DOI =          "https://doi.org/10.1126/science.170.3963.1183",
  ISSN =         "0036-8075 (print), 1095-9203 (electronic)",
  ISSN-L =       "0036-8075",
  bibdate =      "Wed Jun 08 17:57:25 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Science",
  journal-URL =  "http://www.sciencemag.org/archive/",
}

@Article{Paige:1970:PUS,
  author =       "C. C. Paige",
  title =        "Practical Use of the Symmetric {Lanczos} Process with
                 Re-Orthogonalization",
  journal =      j-BIT,
  volume =       "10",
  number =       "2",
  pages =        "183--195",
  month =        jun,
  year =         "1970",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/BF01936866",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  bibdate =      "Wed Jan 4 18:52:11 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=10&issue=2;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=10&issue=2&spage=183",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT (Nordisk tidskrift for informationsbehandling)",
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Article{Shavitt:1970:MNA,
  author =       "Isaiah Shavitt",
  title =        "Modification of {Nesbet}'s algorithm for the iterative
                 evaluation of eigenvalues and eigenvectors of large
                 matrices",
  journal =      j-J-COMPUT-PHYS,
  volume =       "6",
  number =       "1",
  pages =        "124--130",
  month =        aug,
  year =         "1970",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(70)90010-0",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 09:15:01 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib",
  note =         "See \cite{Nesbet:1965:ADL}.",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999170900100",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991",
  keywords =     "iteration solution of large eigenvalue problems",
}

@Article{Wright:1970:SRB,
  author =       "K. Wright",
  title =        "Some Relationships between Implicit {Runge--Kutta},
                 Collocation and {Lanczos} $ \tau $ Methods, and their
                 Stability Properties",
  journal =      j-BIT,
  volume =       "10",
  number =       "2",
  pages =        "217--227",
  month =        jun,
  year =         "1970",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/BF01936868",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  bibdate =      "Wed Jan 4 18:52:11 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=10&issue=2;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=10&issue=2&spage=217",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT (Nordisk tidskrift for informationsbehandling)",
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Article{Bireline:1971:BRS,
  author =       "J. Bireline",
  title =        "Book Review: {{\booktitle{Space through the ages: the
                 evolution of geometrical ideas from Pythagoras to
                 Hilbert and Einstein}}, by Cornelius Lanczos. 320
                 pages. London, New York, Academic Press, 1970}",
  journal =      j-J-FRANKLIN-INST,
  volume =       "291",
  number =       "5",
  pages =        "403",
  month =        may,
  year =         "1971",
  CODEN =        "JFINAB",
  DOI =          "https://doi.org/10.1016/0016-0032(71)90075-5",
  ISSN =         "0016-0032 (print), 1879-2693 (electronic)",
  ISSN-L =       "0016-0032",
  bibdate =      "Fri Jun 10 17:47:45 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of {The Franklin Institute}",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00160032",
}

@Article{Coulson:1971:BRS,
  author =       "C. A. Coulson",
  title =        "Book Review: {{\em Space through the Ages}, by
                 Cornelius Lanczos, x + 320 pp., \pounds 4.00, 1970
                 (Academic Press, London and New York)}",
  journal =      j-MATH-GAZ,
  volume =       "55",
  number =       "393",
  pages =        "334--344",
  month =        jun,
  year =         "1971",
  CODEN =        "MAGAAS",
  ISSN =         "0025-5572 (print), 2056-6328 (electronic)",
  bibdate =      "Wed Jun 08 18:27:06 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.jstor.org/stable/3615043",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Gazette",
  journal-URL =  "http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
}

@Article{Grattan-Guinness:1971:BRD,
  author =       "I. Grattan-Guinness",
  title =        "Book Review: {{\em Discourse on Fourier series}, by C.
                 Lanczos. 255 pages. Edinburgh and London, Oliver and
                 Boyd. 1966}",
  journal =      j-J-FRANKLIN-INST,
  volume =       "292",
  number =       "4",
  pages =        "308--308",
  month =        oct,
  year =         "1971",
  CODEN =        "JFINAB",
  DOI =          "https://doi.org/10.1016/0016-0032(71)90105-0",
  ISSN =         "0016-0032 (print), 1879-2693 (electronic)",
  ISSN-L =       "0016-0032",
  bibdate =      "Fri Jun 10 17:44:04 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of {The Franklin Institute}",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00160032",
}

@Article{Moon:1971:BRN,
  author =       "Parry Moon",
  title =        "Book Review: {{\em Numbers without end}, by Cornelius
                 Lanczos. 164 pages. Edinburgh, Oliver \& Boyd, 1968}",
  journal =      j-J-FRANKLIN-INST,
  volume =       "292",
  number =       "5",
  pages =        "387--388",
  month =        nov,
  year =         "1971",
  CODEN =        "JFINAB",
  DOI =          "https://doi.org/10.1016/0016-0032(71)90065-2",
  ISSN =         "0016-0032 (print), 1879-2693 (electronic)",
  ISSN-L =       "0016-0032",
  bibdate =      "Fri Jun 10 17:42:28 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of {The Franklin Institute}",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00160032",
}

@PhdThesis{Paige:1971:CEE,
  author =       "Christopher Conway Paige",
  title =        "The computation of eigenvalues and eigenvectors of
                 very large sparse matrices",
  type =         "{Ph.D.} dissertation",
  school =       "The University of London",
  address =      "London, UK",
  pages =        "????",
  year =         "1971",
  bibdate =      "Fri Nov 10 07:30:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "https://www.proquest.com/pqdtglobal/docview/1794120404",
  abstract =     "Several methods are avai1able for computing
                 eigenvalues and eigenvectors of large sparse matrices,
                 but as yet no outstandingly good algorithm is generally
                 known. For the symmetric matrix case one of the most
                 elegant algorithms theoretically is the method of
                 m1rini1zed iterations developed by Lanczos in 1950 This
                 method reduces the original matrix to the diagonal form
                 from which the eigensystem can easily be found. The
                 method can be used iteratively, and here the
                 convergence properties and different possible
                 eigenvalue intervals are first considered assuming
                 infinite precision computation. Next rounding error
                 analyses are given for the method both with and without
                 re-orthogonalization. It is shown that the method has
                 been unjustly neglected, in fact a particular
                 computational algorithm for the method without
                 re-orthogonalization is shown to have remarkably good
                 error properties. As well as this the algorithm is very
                 fast and can be programmed to require very little store
                 compared with other comparable methods, and this
                 suggests that this variant of the Lanczos process is
                 likely to become an extremely useful algorithm for
                 finding several extreme eigenvalues, and their
                 eigenvectors if needed, of very large sparse symmetric
                 matrices.",
  acknowledgement = ack-nhfb,
  remark =       "Thesis not available online, so no pagecount data are
                 available.",
}

@TechReport{Golub:1972:LAS,
  author =       "G. H. Golub and R. Underwood and J. H. Wilkinson",
  title =        "The {Lanczos} Algorithm for the Symmetric {$ A x =
                 \lambda {Bx} $} Problem",
  type =         "Technical Report",
  number =       "STAN-CS-72-270",
  institution =  "Computer Science, Stanford University",
  address =      "Stanford, CA",
  pages =        "24",
  month =        "??",
  year =         "1972",
  bibdate =      "Fri Jun 10 12:38:26 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
                 https://www.math.utah.edu/pub/tex/bib/gvl.bib",
  acknowledgement = ack-nhfb,
  keywords =     "nla, geig, Lanczos algorithm",
}

@Article{Haydock:1972:ESB,
  author =       "R. Haydock and Volker Heine and M. J. Kelley",
  title =        "Electronic Structure Based on the Local Atomic
                 Environment for Tight-Binding Bands",
  journal =      j-J-PHYS-C,
  volume =       "5",
  number =       "20",
  pages =        "2845--2858",
  month =        "????",
  year =         "1972",
  CODEN =        "JPSOAW",
  DOI =          "https://doi.org/10.1088/0022-3719/5/20/004",
  ISSN =         "0022-3719 (print), 1747-3802 (electronic)",
  ISSN-L =       "0022-3719",
  bibdate =      "Fri Nov 10 06:38:33 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "See also paper 2 \cite{Haydock:1975:ESB}.",
  URL =          "https://iopscience.iop.org/article/10.1088/0022-3719/5/20/004",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Physics C: Solid state physics",
  journal-URL =  "http://iopscience.iop.org/0022-3719",
  received =     "23 June 1972",
  remark =       "This paper, from researchers at the Cavendish
                 Laboratory, Cambridge, UD, independently rediscovers
                 the Lanczos algorithm \cite{Lanczos:1950:IMS} for
                 symmetric matrices, and calls it the ``recursion
                 method''.",
}

@Article{Paige:1972:CVL,
  author =       "C. C. Paige",
  title =        "Computational variants of the {Lanczos} method for the
                 eigenproblem",
  journal =      j-J-INST-MATH-APPL,
  volume =       "10",
  number =       "3",
  pages =        "373--381",
  month =        dec,
  year =         "1972",
  CODEN =        "JMTAA8",
  DOI =          "https://doi.org/10.1093/imamat/10.3.373",
  ISSN =         "0020-2932",
  ISSN-L =       "0020-2932",
  MRclass =      "65F15",
  MRnumber =     "48 #12799",
  MRreviewer =   "B. Levinger",
  bibdate =      "Sat Apr 6 16:27:10 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib",
  ZMnumber =     "0253.65020",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Institute of Mathematics and its
                 Applications",
  journal-URL =  "http://imamat.oxfordjournals.org/content/by/year",
}

@Book{Synge:1972:GRP,
  editor =       "J. L. (John Lighton) Synge and L. (Lochlainn)
                 {O'Raifeartaigh, ed}",
  title =        "General relativity; papers in honour of {J. L.
                 Synge}",
  publisher =    pub-CLARENDON,
  address =      pub-CLARENDON:adr,
  pages =        "ix + 277",
  year =         "1972",
  ISBN =         "0-19-851126-4",
  ISBN-13 =      "978-0-19-851126-7",
  LCCN =         "QC6 .G358",
  bibdate =      "Wed Jun 8 14:42:43 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/einstein.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "Edited for the Royal Irish Academy by L.
                 O'Raifeartaigh.",
  acknowledgement = ack-nhfb,
  subject =      "Relativity (Physics); Synge, J. L. (John Lighton)",
  subject-dates = "1897--",
  tableofcontents = "Lanczos, C. / Einstein's path from special to
                 general relativity \\
                 Balazs, N. L. / The acceptability of physical theories:
                 Poincar\'e versus Einstein \\
                 Ellis, G. F. R. / Global and non-global problems in
                 cosmology, by G. F. R. Ellis and D. W. Sciama \\
                 Ehlers, J. The geometry of free fall and light
                 propagation, by J. Ehlers, F. A. E. Pirani and A.
                 Schild / \\
                 Trautman, A. / Invariance of Lagrangian systems \\
                 Penrose, R. / The geometry of impulsive gravitational
                 waves \\
                 Exact solutions of the Einstein--Maxwell equations for
                 an accelerated charge \\
                 Taub, A. H. / Plane-symmetric similarity solutions for
                 self-gravitating fluids \\
                 Robinson, I. / Equations of motion in the linear
                 approximation, by I. Robinson and J. R. Robinson \\
                 Florides, P. W. / Rotating bodies in General Relativity
                 \\
                 Chandrasekhar, S. / A limiting case of relativistic
                 equilibrium \\
                 Israel, W. / The relativistic Boltzmann equation \\
                 Thompson, W. B. / The self-consistent test-particle
                 approach to relativistic kinetic theory",
}

@InCollection{Golub:1973:SUL,
  author =       "G. H. Golub",
  title =        "Some uses of the {Lanczos} algorithm in numerical
                 algebra",
  crossref =     "Miller:1973:TNA",
  pages =        "173--184",
  year =         "1973",
  MRclass =      "65F15",
  MRnumber =     "50 \#11743",
  MRreviewer =   "F. Szidarovszky",
  bibdate =      "Fri Dec 20 17:46:23 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-sf,
}

@Article{Shavitt:1973:ICS,
  author =       "I. Shavitt and C. F. Bender and A. Pipano and R. P.
                 Hosteny",
  title =        "The iterative calculation of several of the lowest or
                 highest eigenvalues and corresponding eigenvectors of
                 very large symmetric matrices",
  journal =      j-J-COMPUT-PHYS,
  volume =       "11",
  number =       "1",
  pages =        "90--108",
  month =        jan,
  year =         "1973",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(73)90149-6",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 09:15:08 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999173901496",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991",
  keywords =     "iteration solution of large eigenvalue problems",
}

@TechReport{Cullum:1974:BGS,
  author =       "Jane Cullum and W. E. Donath",
  title =        "A Block Generalization of the Symmetric {$S$}-Step
                 {Lanczos} Algorithm",
  type =         "Report",
  number =       "RC 4845",
  institution =  "IBM T. J. Watson Research Center",
  address =      "Yorktown Heights, NY, USA",
  month =        may,
  year =         "1974",
  bibdate =      "Fri Nov 10 06:51:19 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Cullum:1974:BLA,
  author =       "Jane Cullum and W. E. Donath",
  editor =       "{IEEE}",
  booktitle =    "Proceedings of 1974 {IEEE} Conference on Decision and
                 Control",
  title =        "A Block {Lanczos} Algorithm for Computing the $q$
                 Algebraically Largest Eigenvalues and a Corresponding
                 Eigenspace for Large, Sparse Symmetric Matrices",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "505--509",
  year =         "1974",
  bibdate =      "Fri Nov 10 06:54:03 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Evans:1974:ISM,
  author =       "D. J. Evans",
  editor =       "D. J. Evans",
  booktitle =    "Software for Numerical Mathematics: proceedings of the
                 {Loughborough University of Technology Conference of
                 the Institute of Mathematics and Its Applications held
                 in April 1973}",
  title =        "Iterative Sparse Matrix Algorithms",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  bookpages =    "xi + 451",
  pages =        "49--53",
  year =         "1974",
  ISBN =         "0-12-243750-0",
  ISBN-13 =      "978-0-12-243750-2",
  LCCN =         "QA297 .S59",
  bibdate =      "Fri Nov 10 06:57:20 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  remark =       "Points out the utility of the Lanczos algorithm for
                 finding eigenvalues.",
}

@Article{Feler:1974:CEL,
  author =       "M. Guy Feler",
  title =        "Calculation of Eigenvectors of Large Matrices",
  journal =      j-J-COMPUT-PHYS,
  volume =       "14",
  number =       "4",
  pages =        "341--349",
  month =        mar,
  year =         "1974",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(74)90017-5",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 09:15:13 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999174900175",
  abstract =     "A method of calculating eigenvectors by variance
                 minimization is presented. The procedure of adjusting
                 sequentially each component of a trial vector is
                 discussed and it is shown that variance minimization
                 and the MOR method both generate an approximate
                 subspace of the true eigenspace. Procedure to deal with
                 this subspace are given which both improve the MOR
                 method and make the method of variance minimization
                 suitable for obtaining non-extremal eigenvalues and
                 eigenvectors of matrices with nearly degenerate
                 eigenvalues.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991",
}

@TechReport{Kahan:1974:ALA,
  author =       "W. Kahan and B. N. Parlett",
  title =        "An Analysis of {Lanczos} Algorithms for Symmetric
                 Matrices",
  number =       "ERL-M467",
  institution =  "University of California, Berkeley",
  address =      "Berkeley, CA, USA",
  year =         "1974",
  bibdate =      "Mon Apr 25 18:24:02 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/gvl.bib",
  acknowledgement = ack-nhfb,
}

@InBook{Kardos:1974:LK,
  author =       "I. Kardos",
  booktitle =    "Sokszemk{\"o}zt Tud{\'o}sokkal. ({Hungarian}) [{TV}
                 interviews with scientists]",
  title =        "{L}{\'a}nczos{ }Korn{\'e}l",
  publisher =    "MRT-Minerva",
  address =      "Budapest, Hungary",
  pages =        "452ff",
  year =         "1974",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Thu Jun 09 17:48:25 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  language =     "Hungarian",
}

@Article{Lyness:1974:CTB,
  author =       "J. N. Lyness",
  title =        "Computational techniques based on the {Lanczos}
                 representation",
  journal =      j-MATH-COMPUT,
  volume =       "28",
  number =       "125",
  pages =        "81--123",
  month =        jan,
  year =         "1974",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Argonne Nat. Lab., IL, USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "computational techniques; convergence; divergence;
                 Euler/Maclaurin series; Fourier analysis; Fourier
                 coefficients; function approximation; Lanczos
                 representation; polynomial; polynomials",
  treatment =    "T Theoretical or Mathematical",
}

@Book{Rivlin:1974:CPC,
  author =       "Theodore J. Rivlin",
  title =        "The {Chebyshev} Polynomials",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "vi + 186",
  year =         "1974",
  ISBN =         "0-471-72470-X",
  ISBN-13 =      "978-0-471-72470-4",
  LCCN =         "QA404.5 .R58 1974",
  bibdate =      "Fri Apr 17 10:09:05 MDT 2009",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Pure and applied mathematics",
  acknowledgement = ack-nhfb,
  remark =       "The Lanczos Tau Method is discussed on pp. 98--101.",
  subject =      "Chebyshev polynomials",
}

@Misc{Torkoly:1974:LK,
  author =       "Anna T{\"o}rk{\"o}ly",
  title =        "{L}{\'a}nczos{ }Korn{\'e}l",
  howpublished = "MTV Televideo Publishers, Budapest, Hungary",
  year =         "1974",
  bibdate =      "Tue Jun 14 15:51:14 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Video film about Cornelius Lanczos. Possibly reissued
                 in 1993.",
  acknowledgement = ack-nhfb,
}

@Article{Balazs:1975:BRE,
  author =       "Nandor L. Balazs",
  title =        "Book Review: {{\em The Einstein Decade (1905--1915)},
                 by Cornelius Lanczos}",
  journal =      j-PHYS-TODAY,
  volume =       "28",
  number =       "8",
  pages =        "70--70",
  month =        aug,
  year =         "1975",
  CODEN =        "PHTOAD",
  DOI =          "https://doi.org/10.1063/1.3069137",
  ISSN =         "0031-9228 (print), 1945-0699 (electronic)",
  ISSN-L =       "0031-9228",
  bibdate =      "Fri Jun 10 13:18:47 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Physics Today",
  journal-URL =  "http://www.physicstoday.org/",
}

@Article{Butler:1975:LL,
  author =       "R. Butler",
  title =        "The {Lanczos} Legend",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "1",
  number =       "??",
  pages =        "258--??",
  month =        "????",
  year =         "1975",
  CODEN =        "CMAPDK",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Thu Jun 09 17:35:00 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl1970.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
}

@Article{Davidson:1975:NIC,
  author =       "Ernest R. Davidson",
  title =        "Note: The iterative calculation of a few of the lowest
                 eigenvalues and corresponding eigenvectors of large
                 real-symmetric matrices",
  journal =      j-J-COMPUT-PHYS,
  volume =       "17",
  number =       "1",
  pages =        "87--94",
  month =        jan,
  year =         "1975",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(75)90065-0",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 09:15:16 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib",
  note =         "This paper generalizes the work of Lanczos
                 \cite{Lanczos:1950:IMS} by a modification that improves
                 the convergence. See also later generalizations
                 \cite{Morgan:1986:GDM,Rettrup:1982:IMC,Sadkane:1989:ANM}.",
  URL =          "http://comptop.stanford.edu/u/references/da.pdf;
                 http://www.sciencedirect.com/science/article/pii/0021999175900650",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
  keywords =     "iteration solution of large eigenvalue problems",
  remark =       "This paper refers to
                 \cite{Cooper:1948:SNF,Lanczos:1950:IMS,Nesbet:1965:ADL,Shavitt:1970:MNA,Shavitt:1973:ICS}
                 for prior work on eigensolutions, but has no mention of
                 the work of Arnoldi \cite{Arnoldi:1951:PMI} or Krylov
                 \cite{Krylov:1931:NSE}.",
}

@Article{Davis:1975:ESL,
  author =       "W. R. Davis and L. H. Green and L. K. Norris",
  title =        "Elucidation of some of {Lanczos}' thoughts concerning
                 spacetime curvature and the local and non-local parts
                 of the {Riemann} tensor",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "1",
  number =       "3--4",
  pages =        "361--364",
  month =        "????",
  year =         "1975",
  CODEN =        "CMAPDK",
  DOI =          "https://doi.org/10.1016/0898-1221(75)90036-X",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Wed Mar 1 18:51:12 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl1970.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/089812217590036X",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
}

@Article{Haydock:1975:ESB,
  author =       "R. Haydock and Volker Heine and M. J. Kelley",
  title =        "Electronic structure based on the local atomic
                 environment for tight-binding bands. {II}",
  journal =      j-J-PHYS-C,
  volume =       "8",
  number =       "16",
  pages =        "2591--2605",
  month =        aug,
  year =         "1975",
  CODEN =        "JPSOAW",
  DOI =          "https://doi.org/10.1088/0022-3719/8/16/011",
  ISSN =         "0022-3719 (print), 1747-3802 (electronic)",
  ISSN-L =       "0022-3719",
  bibdate =      "Fri Nov 10 16:09:31 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "See also paper 1 \cite{Haydock:1972:ESB}.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Physics C: Solid State Physics",
  journal-URL =  "http://iopscience.iop.org/0022-3719",
}

@InCollection{Householder:1975:PVV,
  author =       "Alston Scott Householder",
  title =        "Proper values and vectors: normalization and reduction
                 of the matrix (methods of {Krylov, Webber-Voetter,
                 Danilevskii, Hessenberg, Lanczos, Samuelson and Bryan,
                 Leverrier}, etc.)",
  crossref =     "Householder:1975:TMN",
  chapter =      "6",
  pages =        "??--??",
  year =         "1975",
  bibdate =      "Tue Jun 19 06:30:20 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{McConnell:1975:CLD,
  author =       "J. R. McConnell",
  title =        "{Cornelius Lanczos} in {Dublin} (1953--1974)",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "1",
  number =       "??",
  pages =        "263--264",
  month =        "????",
  year =         "1975",
  CODEN =        "CMAPDK",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Thu Jun 09 17:35:00 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl1970.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
  xxnote =       "Check: is this part of \cite{Rodin:1975:MCL}??",
}

@Article{Ortiz:1975:LIA,
  author =       "Eduardo L. Ortiz",
  title =        "{Lanczos} and the {Institute for Advanced Studies} in
                 the Early Sixties",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "1",
  number =       "??",
  pages =        "266--??",
  month =        "????",
  year =         "1975",
  CODEN =        "CMAPDK",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Thu Jun 09 17:35:00 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl1970.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
}

@Article{Ortiz:1975:SST,
  author =       "E. L. Ortiz",
  title =        "Step by step {Tau} method. {Part I}. {Piecewise}
                 polynomial approximations",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "1",
  number =       "3--4",
  pages =        "381--392",
  month =        "????",
  year =         "1975",
  CODEN =        "CMAPDK",
  DOI =          "https://doi.org/10.1016/0898-1221(75)90040-1",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Wed Mar 1 18:51:12 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl1970.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0898122175900401",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
}

@Article{Rodin:1975:MCL,
  author =       "Ervin Y. Rodin and R. Butler and A. Erd{\'e}lyi and B.
                 Gellai and J. R. McConnell and Eduardo L. Ortiz and I.
                 Rhodes",
  title =        "In memory of {Cornelius L{\'a}nczos}",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "1",
  number =       "3--4",
  pages =        "257--268",
  month =        "????",
  year =         "1975",
  CODEN =        "CMAPDK",
  DOI =          "https://doi.org/10.1016/0898-1221(75)90024-3",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Wed Mar 1 18:51:12 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl1970.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0898122175900243",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
  remark =       "The title uses an acute accent in the last word, even
                 though Lanczos himself only used that accent in
                 Hungarian.",
}

@Article{Taub:1975:LSR,
  author =       "A. H. Taub",
  title =        "{Lanczos}' splitting of the {Riemann} tensor",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "1",
  number =       "3--4",
  pages =        "377--380",
  month =        "????",
  year =         "1975",
  CODEN =        "CMAPDK",
  DOI =          "https://doi.org/10.1016/0898-1221(75)90039-5",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Wed Mar 1 18:51:12 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl1970.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0898122175900395",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
}

@PhdThesis{Underwood:1975:IBL,
  author =       "Richard Ray Underwood",
  title =        "An Iterative Block {Lanczos} Method for the Solution
                 of Large Sparse Symmetric Eigenproblems",
  type =         "{Ph.D.} thesis",
  school =       "Department of Computer Science, Stanford University",
  address =      "Stanford, CA, USA",
  pages =        "v + 133",
  month =        may,
  year =         "1975",
  bibdate =      "Fri Nov 10 07:03:07 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Also issued as report STAN-CS-75-496",
  URL =          "https://www.proquest.com/pqdtglobal/docview/302727419/",
  acknowledgement = ack-nhfb,
  advisor =      "Gene H. Golub",
}

@Article{Yourgrau:1975:CL,
  author =       "Wolfgang Yourgrau",
  title =        "{Cornelius Lanczos (1893--1974)}",
  journal =      j-FOUND-PHYS,
  volume =       "5",
  number =       "1",
  pages =        "19--20",
  month =        "????",
  year =         "1975",
  CODEN =        "FNDPA4",
  ISSN =         "0015-9018 (print), 1572-9516 (electronic)",
  ISSN-L =       "0015-9018",
  bibdate =      "Thu Jun 09 17:54:46 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Foundations of Physics",
  journal-URL =  "http://link.springer.com/journal/10701",
  xxpages =      "20--??",
}

@Article{Blackmore:1976:BRE,
  author =       "John T. Blackmore",
  title =        "Book Review: {{\booktitle{The Einstein decade}}: By
                 Cornelius Lanczos. New York and London (Academic
                 Press), 1974. \$12.50}",
  journal =      j-HIST-MATH,
  volume =       "3",
  number =       "2",
  pages =        "236--236",
  month =        may,
  year =         "1976",
  CODEN =        "HIMADS",
  DOI =          "https://doi.org/10.1016/0315-0860(76)90059-8",
  ISSN =         "0315-0860 (print), 1090-249X (electronic)",
  ISSN-L =       "0315-0860",
  bibdate =      "Wed Jun 26 06:16:38 MDT 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/einstein.bib;
                 https://www.math.utah.edu/pub/tex/bib/histmath.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0315086076900598",
  acknowledgement = ack-nhfb,
  fjournal =     "Historia Mathematica",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03150860/",
}

@InProceedings{Cline:1976:CNM,
  author =       "A. K. Cline and G. H. Golub and G. W. Platzman",
  title =        "Calculation of Normal Modes of Oceans Using a
                 {Lanczos} Method",
  crossref =     "Bunch:1976:SMC",
  pages =        "409--426",
  year =         "1976",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/gvl.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Gene Howard Golub (February 29, 1932--November 16,
                 2007)",
  keywords =     "nla, eig, Lanczos algorithm",
}

@Article{Coleman:1976:LTM,
  author =       "J. P. Coleman",
  title =        "The {Lanczos} tau-method",
  journal =      j-J-INST-MATH-APPL,
  volume =       "17",
  number =       "1",
  pages =        "85--97",
  year =         "1976",
  CODEN =        "JMTAA8",
  DOI =          "https://doi.org/10.1093/imamat/17.1.85",
  ISSN =         "0020-2932",
  MRclass =      "41A20",
  MRnumber =     "53 #6160",
  MRreviewer =   "Jack Williams",
  bibdate =      "Sat Apr 6 16:27:10 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://imamat.oxfordjournals.org/content/17/1/85.abstract",
  abstract =     "A number of variants of the $ \tau $-method, giving
                 polynomial and rational approximations, are examined by
                 applying them to the initial-value problem $ y^\prime -
                 y = 0 $, $ y(0) = 1 $ on the interval $ [0, 1] $. Error
                 estimates are derived for the rational approximations.
                 A rational approximation, obtained by using a multiple
                 of the shifted Legendre polynomial as the perturbing
                 term, proves to be the most accurate of the
                 approximations studied.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Institute of Mathematics and its
                 Applications",
  journal-URL =  "http://imamat.oxfordjournals.org/content/by/year",
  remark =       "From pp. 96--97, ``Rivlin \cite{Rivlin:1974:CPC} shows
                 that, [the Chebyshev form of the integrated tau-method
                 approximation] is arbitrarily close to the minimax
                 approximation of degree $n$ for $n$ sufficiently
                 large.'' See also the related remark in
                 \cite{Hazewinkel:2002:EM}.",
}

@InCollection{Kahan:1976:HFSa,
  author =       "W. Kahan and B. N. Parlett",
  editor =       "J. Bunch and D. Rose",
  booktitle =    "Sparse matrix computations (Proc. Sympos., Argonne
                 Nat. Lab., Lemont, Ill., 1975)",
  title =        "How far should you go with the {Lanczos} process?",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "131--144",
  year =         "1976",
  MRclass =      "65F15",
  MRnumber =     "MR0458836 (56 \#17036)",
  MRreviewer =   "Michael S. Martin",
  bibdate =      "Mon Apr 25 18:24:02 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Paige:1976:EAL,
  author =       "C. C. Paige",
  title =        "Error Analysis of the {Lanczos} Algorithm for
                 Tridiagonalizing a Symmetric Matrix",
  journal =      j-J-INST-MATH-APPL,
  volume =       "18",
  number =       "??",
  pages =        "341--349",
  month =        "????",
  year =         "1976",
  CODEN =        "JMTAA8",
  ISSN =         "0020-2932",
  bibdate =      "Fri Jun 10 12:14:06 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Institute of Mathematics and its
                 Applications",
  journal-URL =  "http://imamat.oxfordjournals.org/content/by/year",
  kwds =         "lanczos",
}

@Book{Rodin:1976:CMA,
  editor =       "Ervin Y. Rodin",
  title =        "Computers and mathematics with applications: in memory
                 of {Cornelius Lanczos}",
  publisher =    pub-PERGAMON,
  address =      pub-PERGAMON:adr,
  pages =        "ix + 257--428",
  year =         "1976",
  ISBN =         "0-08-020521-6",
  ISBN-13 =      "978-0-08-020521-2",
  LCCN =         "QA76 .C576",
  bibdate =      "Wed Jun 8 18:51:05 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 melvyl.cdlib.org:210/CDL90",
  acknowledgement = ack-nhfb,
  remark =       "Published as a special issue of the journal Computers
                 and mathematics with applications, volume I, number
                 3/4.",
  subject =      "Lanczos, Cornelius; Electronic data processing;
                 Mathematics; Data processing",
  subject-dates = "1893--1974",
}

@Article{Horvay:1977:CLM,
  author =       "Gabriel Horvay",
  title =        "{Cornelius Lanczos}, in memoriam",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "3",
  number =       "4",
  pages =        "251--252",
  month =        "????",
  year =         "1977",
  CODEN =        "CMAPDK",
  DOI =          "https://doi.org/10.1016/0898-1221(77)90082-7",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Wed Mar 1 18:51:15 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl1970.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0898122177900827",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
}

@Book{Jennings:1977:MCE,
  author =       "Alan Jennings",
  title =        "Matrix Computation for Engineers and Scientists",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "xv + 330",
  year =         "1977",
  ISBN =         "0-471-99421-9 (hardcover), 0-471-27832-7 (paperback)",
  ISBN-13 =      "978-0-471-99421-3 (hardcover), 978-0-471-27832-0
                 (paperback)",
  LCCN =         "TA347 .D4J461",
  bibdate =      "Wed Dec 15 10:35:36 1993",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana1990.bib",
  acknowledgement = ack-nhfb,
  tableofcontents = "1: Basic algebraic and numerical concepts \\
                 What is a matrix \\
                 The matrix equation \\
                 Matrix multiplication \\
                 Some special matrix forms \\
                 The matrix transpose and symmetry \\
                 The determinant of a matrix \\
                 The solution of simultaneous equations \\
                 Gaussian elimination and pivotal condensation \\
                 Equations with multiple right-hand sides \\
                 Transforming matrix equations \\
                 The rank of a matrix \\
                 The matrix inverse \\
                 Significance of the inverse \\
                 The transpose and inverse in matrix expressions \\
                 Partitioning of matrices \\
                 The eigenvalues of a matrix \\
                 Some eigenvalue properties \\
                 Eigenvectors \\
                 Norms and normalization \\
                 Orthogonality conditions for eigenvectors of symmetric
                 matrices \\
                 Quadric forms and positive definite matrices \\
                 Gerschgorin discs \\
                 2: Some matrix problems \\
                 An electrical resistance network \\
                 Alternative forms of the network equations \\
                 Properties of electrical resistance network equations
                 \\
                 Other network problems \\
                 Least squares for overdetermined equations \\
                 Error adjustments in surveying \\
                 Curve fitting by least squares \\
                 A heat transfer field problem \\
                 The finite difference method \\
                 The finite element method \\
                 A source and sink method \\
                 A non-linear cable analysis by the Newton--Raphson
                 method \\
                 3: Computer implementation \\
                 Storage of numbers \\
                 Rounding errors \\
                 Array storage for matrices \\
                 Matrix multiplication using two dimensional arrays \\
                 On program efficiency \\
                 One-dimensional storage for matrix operations \\
                 One the use of backing store \\
                 Computer packages \\
                 Sparse storage \\
                 Random packing \\
                 The use of address links \\
                 Systematic packing \\
                 Some notes on sparse packing schemes \\
                 Operations involving systematically packed matrices \\
                 Series storage of sparse matrices \\
                 regular pattern storage schemes \\
                 variable bandwidth storage \\
                 Submatrix storage schemes \\
                 4: Elimination methods for linear equations \\
                 Triangular decomposition \\
                 Equivalence of Gaussian elimination of triangular
                 decomposition \\
                 When pivot selection is unnecessary \\
                 Pivot selection \\
                 Row and column scaling \\
                 On loss of accuracy in elimination \\
                 On pivot selection \\
                 Ill-conditioning \\
                 \ldots{} in practice \\
                 Residuals and iterative improvement \\
                 Twin pivoting for symmetric matrices \\
                 Equations with prescribed variables \\
                 5: Sparse matrix elimination \\
                 Changes in sparsity pattern during elimination \\
                 Graphical interpretation of sparse elimination \\
                 Diagonal band elimination \\
                 A variable bandwidth elimination algorithm \\
                 The Cuthill--McKee algorithm and its reverse \\
                 Some other renumbering schemes \\
                 Elimination in a packed store \\
                 Elimination using submatrices \\
                 Substructure methods \\
                 Nested dissection \\
                 On the use of backing store \\
                 Unsymmetric band elimination \\
                 Unsymmetric elimination in a packed store \\
                 Computing elements of a sparse inverse \\
                 6: Some matrix eigenvalue problems \\
                 Column buckling \\
                 Structural vibration \\
                 Linearized eigenvalue problems \\
                 Damped vibration \\
                 Dynamic stability \\
                 reduction of the quadratic eigenvalue problem to
                 standard form \\
                 Principal component analysis \\
                 A geometrical interpretation of principal component
                 analysis \\
                 Markov chains \\
                 Markov chains for assessing computer performance \\
                 Some eigenvalue properties of stochastic matrices \\
                 7: Transformation methods for eigenvalue problems \\
                 Orthogonal transformation of a matrix \\
                 Jacobi diagonalization \\
                 Computer implementation of Jacobi diagonalization \\
                 Givens tridiagonalization \\
                 Householder's transformation \\
                 Implementation of Householder's tridiagonalization \\
                 Transformation of band symmetric matrices \\
                 Eigenvalue properties of unsymmetric matrices \\
                 Similarity transformations \\
                 Reduction to upper Hessenberg form \\
                 The LR transformation \\
                 Convergence of the LR method \\
                 The QR and QL transformations \\
                 Origin shift with the QR method \\
                 Discussion of the QR method \\
                 The application of the transformation methods \\
                 8: Sturm sequence methods \\
                 The characteristic equation \\
                 The Sturm sequence property \\
                 Bisection for tridiagonal matrices \\
                 Discussion of bisection for tridiagonal matrices \\
                 Bisection for general symmetric matrices \\
                 Bisection for band matrices \\
                 Non-linear symmetric eigenvalue problems \\
                 9: Vector iterative methods for partial eigensolution
                 \\
                 The power method \\
                 Convergence characteristics of the power method \\
                 Eigenvalue shift and inverse iteration \\
                 A simultaneous iteration method \\
                 The convergence rate and efficiency of simultaneous
                 iteration \\
                 Simultaneous iteration for symmetric matrices \\
                 \ldots{} unsymmetric \\
                 Simultaneous and subspace iteration for vibration
                 frequency analysis \\
                 The symmetric Lanczos method \\
                 Theoretical basis for the Lanczos \\
                 Convergence characteristics of Lanczos' method \\
                 Extensions of Lanczos' method \\
                 Shift strategies with advanced vector \\
                 10: Orthogonalization and re-solution techniques for
                 linear equations \\
                 Decompositions of a rectangular matrix \\
                 Efficiency and accuracy in least squares problems \\
                 Sparse least squares problems \\
                 Singular value decomposition \\
                 Use of singular value composition \\
                 The solution of modified equations \\
                 The use of supplementary variables \\
                 Updating factorization \\
                 Discussion of equation modification \\
                 11: Iterative methods for linear equations \\
                 Jacobi and Gauss--Seidel iteration \\
                 Successive over-relaxation \\
                 General characterization of iterative methods \\
                 The iteration matrix \\
                 SOR convergence with a symmetric positive definite
                 matrix \\
                 Matrices with property A \\
                 On the acceleration of stationary methods \\
                 The method of steepest decent \\
                 The method of conjugate gradients (CG) \\
                 Convergence of the CG method \\
                 Generalized CG formulations \\
                 Block relaxation \\
                 Preconditioning \\
                 ICCG methods \\
                 12: Non-linear equations \\
                 The Newton--Raphson method \\
                 Globally convergent algorithms \\
                 Dealing with ill-conditioning \\
                 Avoiding the need to compute derivatives \\
                 Overdetermined sets of equations \\
                 Practical considerations \\
                 13: Parallel and vector computing \\
                 Mutual independence in matrix operations \\
                 High-speed computer architecture \\
                 Matrix--vector multiplication on non-sequential
                 machines \\
                 Solving dense sets of linear equations on
                 non-sequential machines \\
                 Solution of banded equations \\
                 General sparse equations \\
                 Parallelizing a sequential code",
}

@Book{Abbott:1978:CPC,
  editor =       "James Crawford Abbott",
  title =        "The {Chauvenet} papers: a collection of prize-winning
                 expository papers in mathematics",
  publisher =    pub-MATH-ASSOC-AMER,
  address =      pub-MATH-ASSOC-AMER:adr,
  pages =        "xviii + 312 (vol. 1), vii + 313--595 (vol. 2)",
  year =         "1978",
  ISBN =         "0-88385-425-2 (vol. 1), 0-08-835427-9 (vol. 2)",
  ISBN-13 =      "978-0-88385-425-9 (vol. 1), 978-0-08-835427-1 (vol.
                 2)",
  LCCN =         "QA7 .C43 1978",
  bibdate =      "Wed Jun 8 17:26:38 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "Two volumes.",
  acknowledgement = ack-nhfb,
  remark =       "Volume 1 \\
                 Algebraic functions and their divisors / Gilbert Ames
                 Bliss \\
                 The Borel theorem and its generalizations / Theophil
                 Henry Hildebrandt \\
                 An introduction to the theory of numbers / Godfrey
                 Harold Hardy \\
                 Series of orthogonal polynomials, Orthogonal
                 trigonometric sums, The convergence of Fourier series /
                 Dunham Jackson \\
                 On the structure of continua / Gordon Thomas Whyburn
                 \\
                 Some recent advances in algebra, Modular fields /
                 Saunders MacLane \\
                 Some introductory exercises in the manipulation of
                 Fourier, Transforms / Robert H. Cameron \\
                 The foundations of probability / Paul Richard Halmos
                 \\
                 Random walk and the theory of Brownian motion / Mark
                 Kac \\
                 Partial orderings and Moore--Smith limits / Edward
                 James McShane \\
                 Recent advances in the foundations of Euclidean plane
                 geometry / Richard Hubert Bruck and others \\
                 Volume 2. \\
                 Linear systems in self-adjoint form / Cornelius Lanczos
                 \\
                 Leonhard Euler's integral: a historical profile of the
                 gamma function / Philip J. Davis \\
                 Are logic and mathematics identical? / Leon A. Henkin
                 \\
                 Differential equations: linearity vs. non-linearity /
                 Jack K. Hale and Joseph P. LaSalle \\
                 Harmonic analysis / Guido L. Weiss \\
                 Can one hear the shape of a drum? / Mark Kac \\
                 Curves and surfaces in Euclidean space / Shiing--Shen
                 Chern \\
                 A motivated account of an elementary proof of the prime
                 number theorem / Norman Levinson \\
                 On local solvability of linear partial differential
                 equations / Jean Fran{\c{c}}ois Tr{\`e}ves \\
                 The simple continued fraction expansion of e / Carl
                 Douglas Olds \\
                 The formation and decay of shock waves / Peter D. Lax
                 \\
                 Hilbert's tenth problem / Martin D. Davis and Reuben
                 Hersh \\
                 Real proofs of complex theorems (and vice versa) /
                 Lawrence Zalcman",
  subject =      "mathematics",
  xxauthor =     "G. H. Hardy and P. Halmos and L. Henkin and M. Davis
                 and R. Hersh and R. Cameron and Fran{\c{c}}ois
                 Tr{\`e}ves and P. Lax and Hale--La Salle and S. Chern
                 and M. Kac and L. Zalcman and Gordon T. Whyburn and R.
                 Bruck and N. Levinson and T. Hildebrandt and E. McShane
                 and D. Jackson and S. MacLane and Ph. Davis and G.
                 Bliss and C. Lanczos and C. Olds and Halle La Salle and
                 G. Weiss",
}

@Article{Ray:1978:VDB,
  author =       "John R. Ray",
  title =        "A variational derivation of the {Bach--Lanczos}
                 identity",
  journal =      j-J-MATH-PHYS,
  volume =       "19",
  number =       "1",
  pages =        "100--102",
  month =        jan,
  year =         "1978",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.523525",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  bibdate =      "Fri Jun 10 07:50:26 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
}

@Article{Edwards:1979:ULM,
  author =       "J. T. Edwards and D. C. Licciardello and D. J.
                 Thouless",
  title =        "Use of the {Lanczos} method for finding complete sets
                 of eigenvalues of large sparse symmetric matrices",
  journal =      j-J-INST-MATH-APPL,
  volume =       "23",
  number =       "3",
  pages =        "277--283",
  year =         "1979",
  CODEN =        "JMTAA8",
  ISSN =         "0020-2932",
  MRclass =      "65F15",
  MRnumber =     "80c:65086",
  bibdate =      "Fri Apr 5 05:48:27 MST 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Institute of Mathematics and its
                 Applications",
  journal-URL =  "http://imamat.oxfordjournals.org/content/by/year",
}

@Article{Parlett:1979:LAS,
  author =       "Beresford N. Parlett and David S. Scott",
  title =        "The {Lanczos} Algorithm with Selective
                 Orthogonalization",
  journal =      j-MATH-COMPUT,
  volume =       "33",
  number =       "145",
  pages =        "217--238",
  month =        jan,
  year =         "1979",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65F15",
  MRnumber =     "80c:65090",
  MRreviewer =   "Colette Lebaud",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 JSTOR database; Theory/Matrix.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C4140 (Linear algebra)",
  corpsource =   "Univ. California, Berkeley, CA, USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "eigenvalues; eigenvalues and eigenfunctions;
                 eigenvectors; extreme; independence; Lanczos algorithm;
                 large symmetric matrix; linear; selective
                 orthogonalization",
  kwds =         "nla, eig, Lanczos Algorithm, orthogonalization",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Scott:1979:HML,
  author =       "D. S. Scott",
  title =        "How to Make the {Lanczos} Algorithm Converge Slowly",
  journal =      j-MATH-COMPUT,
  volume =       "33",
  number =       "145",
  pages =        "239--247",
  month =        jan,
  year =         "1979",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65F15",
  MRnumber =     "80c:65091",
  MRreviewer =   "Colette Lebaud",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 JSTOR database; Theory/Matrix.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C4140 (Linear algebra)",
  corpsource =   "Math. and Statistics Res. Dept., Union Carbide Corp.,
                 Oak Ridge, TN, USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "convergence; convergence of numerical methods;
                 eigenfunctions; eigenvalues; eigenvalues and; iterative
                 method; Lanczos Algorithm; large; perverse starting
                 vector; sparse symmetric matrices",
  kwds =         "nla, eig, Lanczos algorithm",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Cullum:1980:LPI,
  author =       "Jane Cullum and Ralph A. Willoughby",
  title =        "The {Lanczos} phenomenon---an interpretation based
                 upon conjugate gradient optimization",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "29",
  number =       "??",
  pages =        "63--90",
  month =        feb,
  year =         "1980",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(80)90231-1",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F15 (65F25)",
  MRnumber =     "81d:65017",
  MRreviewer =   "Norihiko Adachi",
  bibdate =      "Wed Jan 22 17:57:24 MST 1997",
  bibsource =    "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  abstract =     "The equivalence in exact arithmetic of the Lanczos
                 tridiagonalization procedure and the conjugate gradient
                 optimization procedure for solving $ A x = b $, where
                 $A$ is a real symmetric, positive definite matrix, is
                 well known. We demonstrate that a relaxed equivalence
                 is valid in the presence of errors. Specifically we
                 demonstrate that local var epsilon-orthonormality of
                 the Lanczos vectors guarantees local $ \varepsilon
                 $-$A$-conjugacy of the direction vectors in the
                 associated conjugate gradient procedure. Moreover we
                 demonstrate that all the conjugate gradient
                 relationships are satisfied approximately. Therefore,
                 any statements valid for the conjugate gradient
                 optimization procedure, which we show converges under
                 very weak conditions, apply directly to the Lanczos
                 procedure. We then use this equivalence to obtain an
                 explanation of the Lanczos phenomenon: the empirically
                 observed ``convergence'' of Lanczos eigenvalue
                 procedures despite total loss of the global
                 orthogonality of the Lanczos vectors.",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
  keywords =     "nla, eig, Lanczos algorithm, conjugate gradients",
}

@Article{Paige:1980:AEL,
  author =       "C. C. Paige",
  title =        "Accuracy and Effectiveness of the {Lanczos} Algorithm
                 for the Symmetric Eigenproblem",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "34",
  pages =        "235--258",
  year =         "1980",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F15 (15A18 15A57 65N99)",
  MRnumber =     "82b:65025",
  MRreviewer =   "L. Fox",
  bibdate =      "Wed Jan 22 17:57:24 MST 1997",
  bibsource =    "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
  keywords =     "nla, eig, Lanczos algorithm, rounding error",
}

@Article{Parlett:1980:NLL,
  author =       "B. N. Parlett",
  title =        "A new look at the {Lanczos} algorithm for solving
                 symmetric systems of linear equations",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "29",
  pages =        "323--346",
  year =         "1980",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F10",
  MRnumber =     "83e:65064",
  bibdate =      "Wed Jan 22 17:57:24 MST 1997",
  bibsource =    "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
  keywords =     "nla, Lanczos algorithm, symmetric matrix, linear
                 system",
}

@TechReport{Saad:1980:LBA,
  author =       "Y. Saad",
  title =        "The {Lanczos} biorthogonalization algorithm and other
                 oblique projection methods for solving large
                 unsymmetric systems",
  type =         "Report",
  number =       "1036",
  institution =  "Department of Computer Science, University of Illinois
                 at Urbana-Champaign",
  address =      "Urbana, IL, USA",
  pages =        "44",
  year =         "1980",
  bibdate =      "Thu Jun 09 11:00:32 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Saad:1980:RCL,
  author =       "Y. Saad",
  key =          "Saadb",
  title =        "On the rates of convergence of the {Lanczos} and the
                 block {Lanczos} methods",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "17",
  number =       "5",
  pages =        "687--706",
  month =        oct,
  year =         "1980",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/0717059",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65F15",
  MRnumber =     "588755 (82g:65022)",
  MRreviewer =   "W. C. Rheinboldt",
  bibdate =      "Sun Sep 5 09:21:22 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib;
                 JSTOR database; MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@Article{Chen:1981:SBV,
  author =       "Peter Y. P. Chen",
  title =        "Solutions of boundary-value problems by the
                 {Lanczos--Chebyshev} reduction method",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "17",
  number =       "2",
  pages =        "291--299",
  month =        feb,
  year =         "1981",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/nme.1620170212",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "20 Jun 2005",
}

@Article{Cullum:1981:CEV,
  author =       "Jane Cullum and Ralph A. Willoughby",
  title =        "Computing eigenvalues of very large symmetric
                 matrices---An implementation of a {Lanczos} algorithm
                 with no reorthogonalization",
  journal =      j-J-COMPUT-PHYS,
  volume =       "44",
  number =       "2",
  pages =        "329--358",
  month =        dec,
  year =         "1981",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(81)90056-5",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:09 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999181900565",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991",
}

@Article{Golub:1981:BLM,
  author =       "Gene H. Golub and Franklin T. Luk and Michael L.
                 Overton",
  title =        "A Block {Lanczos} Method for Computing the Singular
                 Values and Corresponding Singular Vectors of a Matrix",
  journal =      j-TOMS,
  volume =       "7",
  number =       "2",
  pages =        "149--169",
  month =        jun,
  year =         "1981",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/355945.355946",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65F50 (65F15)",
  MRnumber =     "84h:65045",
  bibdate =      "Sun Jan 14 09:28:55 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  note =         "Cited in {{\AA}ke Bj{\"o}rck's} bibliography on least
                 squares, which is available by anonymous ftp from {\tt
                 math.liu.se} in {\tt pub/references}.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software",
  journal-URL =  "http://portal.acm.org/toc.cfm?idx=J782",
  keywords =     "block Lanczos method; Lanczos algorithm; large sparse
                 matrix; NLA; singular values; singular vectors;
                 singular-value decomposition; SVD; upper-triangular
                 band matrix",
}

@TechReport{Grcar:1981:ALA,
  author =       "Joseph F. Grcar",
  title =        "Analyses of the {Lanczos} algorithm and of the
                 approximation problem in {Richardson}'s method",
  volume =       "UIUCDCS-R-81-1074",
  number =       "1074",
  institution =  "Dept. of Computer Science, University of Illinois at
                 Urbana-Champaign",
  address =      "Urbana, IL, USA",
  pages =        "iv + 192",
  year =         "1981",
  LCCN =         "QA76 .I4 no. 1074",
  bibdate =      "Wed Jun 8 14:42:43 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  remark =       "December 1981. Originally presented as the author's
                 thesis (Ph.D., University of Illinois at
                 Urbana-Champaign, 1981).",
  subject =      "Sparse matrices; Data processing; Approximation
                 theory",
}

@TechReport{Parlett:1981:LAL,
  author =       "Beresford N. Parlett and D. Taylor",
  title =        "A look-ahead {Lanczos} algorithm for unsymmetric
                 matrices",
  type =         "Technical Report",
  number =       "PAM-43",
  institution =  inst-CPAM-UCB,
  address =      inst-CPAM-UCB:adr,
  month =        jun,
  year =         "1981",
  bibdate =      "Fri Nov 11 09:09:56 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib",
  acknowledgement = ack-nhfb,
}

@Article{Parlett:1981:TPL,
  author =       "B. N. Parlett and J. K. Reid",
  title =        "Tracking the Progress of the {Lanczos} Algorithm for
                 Large Symmetric Eigenproblems",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "1",
  number =       "2",
  pages =        "135--155",
  year =         "1981",
  CODEN =        "IJNADH",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  MRclass =      "65F15",
  MRnumber =     "MR616327 (82e:65039)",
  bibdate =      "Fri Nov 11 06:36:51 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 MathSciNet database",
  URL =          "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/gvl.bib;
                 https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib",
  ZMnumber =     "0474.65022",
  acknowledgement = ack-nhfb,
  classmath =    "*65F15 Eigenvalues (numerical linear algebra) 65Y99
                 Computer aspects of numerical algorithms",
  fjournal =     "IMA (Institute of Mathematics and its Applications).
                 Journal of Numerical Analysis",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
  keywords =     "interpolation procedures; Lanczos algorithm; large
                 symmetric matrix",
}

@Article{Schwarz:1981:SIG,
  author =       "H. R. Schwarz",
  title =        "{Simultane Iterationsverfahren f{\"u}r gro{\ss}e
                 allgemeine Eigenwertprobleme}. ({German})
                 [{Simultaneous} iteration methods for large ordinary
                 eigenvalue problems]",
  journal =      j-ARCH-APPL-MECH,
  volume =       "50",
  number =       "5",
  pages =        "329--338",
  month =        "????",
  year =         "1981",
  CODEN =        "AAMEEA",
  DOI =          "https://doi.org/10.1007/BF00778428",
  ISSN =         "0939-1533 (print), 1432-0681 (electronic)",
  ISSN-L =       "0939-1533",
  bibdate =      "Sat Jun 11 13:10:25 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Archive of Applied Mechanics = Ingenieur-Archiv",
  journal-URL =  "http://link.springer.com/journal/419",
  keywords =     "iteration solution of large eigenvalue problems",
  language =     "German",
}

@TechReport{Ericsson:1982:SSP,
  author =       "Thomas Ericsson and Axel Ruhe",
  title =        "{STLM} --- a software package for the Spectral
                 Transformation {Lanczos} algorithm",
  institution =  "UMINF-101",
  pages =        "1--32",
  year =         "1982",
  bibdate =      "Fri Jun 10 12:38:32 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
  acknowledgement = ack-nhfb,
}

@Article{Parlett:1982:ELE,
  author =       "B. N. Parlett and H. Simon and L. M. Stringer",
  title =        "On Estimating the Largest Eigenvalue with the
                 {Lanczos} Algorithm",
  journal =      j-MATH-COMPUT,
  volume =       "38",
  number =       "157",
  pages =        "153--165",
  month =        jan,
  year =         "1982",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65F15",
  MRnumber =     "MR637293 (82m:65033)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 JSTOR database; Theory/Matrix.bib",
  URL =          "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/gvl.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "B0210 (Algebra); B0290H (Linear algebra); C1110
                 (Algebra); C4140 (Linear algebra)",
  corpsource =   "Dept. of Math., Univ. of California, Berkeley, CA,
                 USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "definite matrix; eigenvalue; eigenvalues and
                 eigenfunctions; Lanczos algorithm; large matrices;
                 matrix algebra; methods; misconvergence; numerical;
                 positive",
  kwds =         "nla, eig, Lanczos algorithm",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Parlett:1982:TMS,
  author =       "B. N. Parlett",
  title =        "Two monitoring schemes for the {Lanczos} algorithm",
  crossref =     "Glowinski:1982:CMA",
  year =         "1982",
  bibdate =      "Fri Nov 11 06:36:51 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib",
  ZMnumber =     "0499.65017",
  acknowledgement = ack-nhfb,
  classmath =    "*65F10 Iterative methods for linear systems 65F15
                 Eigenvalues (numerical linear algebra) 65F25
                 Orthogonalization (numerical linear algebra)",
  keywords =     "Lanczos algorithm; monitoring schemes; symmetric
                 matrices",
}

@Article{Radhakrishnan:1982:CBL,
  author =       "C. Radhakrishnan and S. C. K. Nair",
  title =        "A comparison between {Lanczos} and moment methods",
  journal =      j-PHYS-LET-A,
  volume =       "91",
  number =       "2",
  pages =        "64--66",
  month =        aug,
  year =         "1982",
  CODEN =        "PYLAAG",
  DOI =          "https://doi.org/10.1016/0375-9601(82)90266-3",
  ISSN =         "0375-9601 (print), 1873-2429 (electronic)",
  ISSN-L =       "0375-9601",
  bibdate =      "Fri Jun 10 17:14:11 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Physics Letters A",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03759601",
}

@Article{Rettrup:1982:IMC,
  author =       "Sten Rettrup",
  title =        "An iterative method for calculating several of the
                 extreme eigensolutions of large real non-symmetric
                 matrices",
  journal =      j-J-COMPUT-PHYS,
  volume =       "45",
  number =       "1",
  pages =        "100--107",
  month =        jan,
  year =         "1982",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(82)90104-8",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:10 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib",
  note =         "See \cite{Davidson:1975:NIC}.",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999182901048",
  abstract =     "A new method is described for calculating several of
                 the extreme eigensolutions of large real non-symmetric
                 matrices. The matrices considered are assumed to have
                 real eigenvectors and eigenvalues. An algorithm is
                 presented for both single and multiple vector
                 optimization. The efficiency of the two versions are
                 compared using some test calculations. The method is a
                 generalization of the Davidson-approach.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991",
  keywords =     "iteration solution of large eigenvalue problems",
}

@Article{Saad:1982:LBA,
  author =       "Y. Saad",
  key =          "Saade",
  title =        "The {Lanczos} biorthogonalization algorithm and other
                 oblique projection methods for solving large
                 unsymmetric systems",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "19",
  number =       "3",
  pages =        "485--506",
  month =        jun,
  year =         "1982",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/0719031",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65F10 (65F25)",
  MRnumber =     "656464 (84g:65045)",
  MRreviewer =   "O. O. Romanovs{\cprime}ki{\u\i}",
  bibdate =      "Sun Sep 5 09:21:22 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib;
                 JSTOR database; MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@InCollection{Schwarz:1982:SRQ,
  author =       "H. R. Schwarz",
  booktitle =    "Numerical Integration of Differential Equations and
                 Large Linear Systems",
  title =        "Simultaneous {Rayleigh}-quotient iteration methods for
                 large sparse generalized eigenvalue problems",
  volume =       "968",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "384--398",
  year =         "1982",
  DOI =          "https://doi.org/10.1007/BFb0064904",
  bibdate =      "Sat Jun 11 13:08:10 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  series =       "Lecture Notes in Mathematics",
  acknowledgement = ack-nhfb,
  keywords =     "iteration solution of large eigenvalue problems",
}

@Article{vanderVorst:1982:GLS,
  author =       "H. A. van der Vorst",
  title =        "A generalized {Lanczos} scheme",
  journal =      j-MATH-COMPUT,
  volume =       "39",
  number =       "160",
  pages =        "559--561",
  month =        oct,
  year =         "1982",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65F15",
  MRnumber =     "MR669648 (84h:65039)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 JSTOR database; MathSciNet database;
                 Theory/Matrix.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290H (Linear algebra); C4140 (Linear algebra)",
  corpsource =   "Acad. Computer Centrum, Utrecht, Netherlands",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "eigenvalue problems; eigenvalues and eigenfunctions;
                 generalized; Lanczos scheme; matrix algebra;
                 skew-symmetric matrices",
  kwds =         "nla, Lanczos algorithm",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Cullum:1983:LAC,
  author =       "Jane Cullum and Ralph A. Willoughby and Mark Lake",
  title =        "A {Lanczos} algorithm for computing singular values
                 and vectors of large matrices",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "4",
  number =       "2",
  pages =        "197--215",
  month =        jun,
  year =         "1983",
  CODEN =        "SIJCD4",
  ISSN =         "0196-5204",
  MRclass =      "65F15",
  MRnumber =     "84h:65035",
  MRreviewer =   "Robert Todd Gregory",
  bibdate =      "Tue Apr 29 19:18:28 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
  corpsource =   "IBM Thomas J. Watson Res. Center, Yorktown Heights,
                 NY, USA",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "eigenvalues and eigenfunctions; eigenvalues and
                 eigenvectors; Lanczos algorithms; large matrices;
                 matrix algebra; real matrix; sparse real matrices;
                 symmetric matrices",
  treatment =    "T Theoretical or Mathematical",
}

@Book{Golub:1983:MC,
  author =       "Gene H. Golub and Charles F. {Van Loan}",
  title =        "Matrix Computations",
  publisher =    pub-JOHNS-HOPKINS # " and " # pub-NORTH-OXFORD,
  address =      pub-JOHNS-HOPKINS:adr # " and " # pub-NORTH-OXFORD:adr,
  pages =        "xvi + 476",
  year =         "1983",
  ISBN =         "0-8018-3010-9 (hardcover), 0-8018-3011-7 (paperback),
                 0-946536-00-7, 0-946536-05-8 (paperback)",
  ISBN-13 =      "978-0-8018-3010-5 (hardcover), 978-0-8018-3011-2
                 (paperback), 978-0-946536-00-9, 978-0-946536-05-4
                 (paperback)",
  LCCN =         "QA188 .G65 1983",
  MRclass =      "65Fxx (65-02)",
  MRnumber =     "85h:65063",
  MRreviewer =   "C. Ilioi",
  bibdate =      "Sun Jan 14 09:27:53 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib",
  series =       "Johns Hopkins Series in the Mathematical Sciences",
  URL =          "http://www.jstor.org/stable/2008107;
                 http://www.jstor.org/stable/2030489;
                 http://www.jstor.org/stable/3616959",
  acknowledgement = ack-nhfb,
  author-dates = "Gene Howard Golub (February 29, 1932--November 16,
                 2007)",
  keywords =     "algebra --- matrices --- computation by digital
                 computer systems; matrices --- data processing",
  remark =       "See review by James W. Demmel in SIAM Review, Vol. 28,
                 No. 2 (Jul., 1986), pp. 252-255, review by David F.
                 Mayers, Mathematics of Computation, Vol. 47, No. 175
                 (Jul., 1986), pp. 376-377, and review by T. J. Randall,
                 The Mathematical Gazette, Vol. 69, No. 448 (Jun.,
                 1985), p. 152.",
  tableofcontents = "Preface to the Third Edition \\
                 Software \\
                 Selected References \\
                 Matrix Multiplication Problems / 1 \\
                 Matrix Analysis / 48 \\
                 General Linear Systems / 87 \\
                 Special Linear Systems / 133 \\
                 Orthogonalization and Least Squares / 206 \\
                 Parallel Matrix Computations / 275 \\
                 The Unsymmetric Eigenvalue Problem / 308 \\
                 The Symmetric Eigenvalue Problem / 391 \\
                 Lanczos Methods / 470 \\
                 Iterative Methods for Linear Systems / 508 \\
                 Functions of Matrices / 555 \\
                 Special Topics / 579 \\
                 Bibliography / 637 \\
                 Index / 687",
}

@Article{Hermann:1983:LPL,
  author =       "M. R. Hermann and P. W. Langhoff",
  title =        "{L{\"o}wdin} partitioning in a {Lanczos} basis:
                 {Applications} to scattering states",
  journal =      j-IJQC,
  volume =       "23",
  number =       "1",
  pages =        "135--146",
  month =        jan,
  year =         "1983",
  CODEN =        "IJQCB2",
  DOI =          "https://doi.org/10.1002/qua.560230115",
  ISSN =         "0020-7608 (print), 1097-461X (electronic)",
  ISSN-L =       "0020-7608",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal of Quantum Chemistry",
  journal-URL =  "http://www.interscience.wiley.com/jpages/0020-7608/",
  onlinedate =   "19 Oct 2004",
}

@Article{Nour-Omid:1983:LVS,
  author =       "Bahram Nour-Omid and Beresford N. Parlett and Robert
                 L. Taylor",
  title =        "{Lanczos} versus subspace iteration for solution of
                 eigenvalue problems",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "19",
  number =       "6",
  pages =        "859--871",
  month =        jun,
  year =         "1983",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/nme.1620190608",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib",
  ZMnumber =     "0521.65024",
  acknowledgement = ack-nhfb,
  classmath =    "*65F15 Eigenvalues (numerical linear algebra) 74S05
                 Finite element methods",
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  keywords =     "comparison of methods; Lanczos algorithm; large eigen
                 problems; subspace iteration",
  onlinedate =   "21 Jun 2005",
}

@Article{Nour-Omid:1983:NLM,
  author =       "Bahram Nour-Omid and Beresford N. Parlett and Robert
                 L. Taylor",
  title =        "A {Newton--Lanczos} method for solution of nonlinear
                 finite element equations",
  journal =      j-COMP-STRUCTURES,
  volume =       "16",
  number =       "??",
  pages =        "241--252",
  year =         "1983",
  CODEN =        "CMSTCJ",
  ISSN =         "0045-7949 (print), 1879-2243 (electronic)",
  ISSN-L =       "0045-7949",
  bibdate =      "Fri Nov 11 06:36:51 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib",
  ZMnumber =     "0499.73058",
  acknowledgement = ack-nhfb,
  classmath =    "*74S05 Finite element methods 65H10 Systems of
                 nonlinear equations (numerical methods)",
  fjournal =     "Computers and Structures",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00457949",
  keywords =     "asymptotic cost estimates; initial-boundary value
                 problems; Lanczos algorithm; linearized set of
                 equations; local convergence characteristics; modified
                 Newton method; Newton's method; Newton--Lanczos method;
                 partial reorthogonalization; quasi-Newton; rate of
                 convergence; selective orthogonalization; varied from
                 superlinear to quadratic by controlling certain
                 tolerance",
}

@Article{Smith:1983:ULA,
  author =       "I. M. Smith and E. E. Heshmati",
  title =        "Use of a {Lanczos} algorithm in dynamic analysis of
                 structures",
  journal =      j-EARTHQUAKE-ENG-STRUCT-DYN,
  volume =       "11",
  number =       "4",
  pages =        "585--588",
  month =        jul,
  year =         "1983",
  CODEN =        "IJEEBG",
  DOI =          "https://doi.org/10.1002/eqe.4290110410",
  ISSN =         "0098-8847 (print), 1096-9845 (electronic)",
  ISSN-L =       "0098-8847",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Earthquake engineering \& structural dynamics",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-9845",
  onlinedate =   "18 Dec 2006",
}

@Article{Bloom:1984:GTS,
  author =       "S. D. Bloom",
  title =        "{Gamow--Teller} strength functions with the {Lanczos}
                 algorithm",
  journal =      j-PROG-PART-NUCL-PHYS,
  volume =       "11",
  number =       "??",
  pages =        "505--528",
  month =        "????",
  year =         "1984",
  CODEN =        "PPNPDB",
  DOI =          "https://doi.org/10.1016/0146-6410(84)90025-5",
  ISSN =         "0146-6410 (print), 1873-2224 (electronic)",
  ISSN-L =       "0146-6410",
  bibdate =      "Fri Jun 10 17:26:10 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Prog. Part. Nucl. Phys.",
  fjournal =     "Progress in Particle and Nuclear Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/09205632",
}

@Article{Boley:1984:LAA,
  author =       "D. L. Boley and G. H. Golub",
  title =        "The {Lanczos--Arnoldi} Algorithm and controllability",
  journal =      j-SYST-CONTROL-LETT,
  volume =       "4",
  number =       "6",
  pages =        "317--324",
  month =        sep,
  year =         "1984",
  CODEN =        "SCLEDC",
  DOI =          "https://doi.org/10.1016/S0167-6911(84)80072-9",
  ISSN =         "0167-6911 (print), 1872-7956 (electronic)",
  ISSN-L =       "0167-6911",
  MRclass =      "93B40 (93B05)",
  MRnumber =     "86a:93044",
  bibdate =      "Fri Dec 20 17:12:57 1996",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Systems and Control Letters",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01676911",
  keywords =     "nla, controllability, Lanczos algorithm, Arnoldi's
                 method, algorithms",
  subject =      "G.1 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Miscellaneous",
}

@InProceedings{Cullum:1984:LPM,
  author =       "Jane Cullum and Ralph A. Willoughby",
  editor =       "{IEEE}",
  booktitle =    "{The 23rd IEEE Conference on Decision and Control,
                 December 12--14, 1984, Las Vegas, Nevada}",
  title =        "A {Lanczos} procedure for the modal analysis of very
                 large nonsymmetric matrices",
  volume =       "23",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "1758--1761",
  month =        dec,
  year =         "1984",
  DOI =          "https://doi.org/10.1109/CDC.1984.272436",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Sat Jun 11 00:31:57 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "IEEE Catalog Number 79-640961.",
  acknowledgement = ack-nhfb,
}

@InProceedings{Evans:1984:ICG,
  author =       "D. Evans and J. Shanehchi and R. Barlow",
  title =        "Implementation of the Conjugate Gradient and {Lanczos}
                 Algorithms for Large Sparse Banded Matrices on the
                 {ICL} {DAP}",
  crossref =     "Feilmeier:1984:PCP",
  pages =        "143--151",
  year =         "1984",
  bibdate =      "Fri Jun 10 12:38:32 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Haydock:1984:CAR,
  author =       "Roger Haydock and D. Weaire",
  title =        "Computational advantages of the recursion and
                 {Lanczos} methods",
  journal =      j-COMP-PHYS-COMM,
  volume =       "31",
  number =       "4",
  pages =        "431--432",
  month =        mar,
  year =         "1984",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(84)90027-4",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Fri Jun 10 16:58:08 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@Article{Kalamboukis:1984:LTA,
  author =       "T. Z. Kalamboukis",
  title =        "A {Lanczos}-type algorithm for the generalized
                 eigenvalue problem {$ A x = \lambda B x $}",
  journal =      j-J-COMPUT-PHYS,
  volume =       "53",
  number =       "1",
  pages =        "82--89",
  month =        jan,
  year =         "1984",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(84)90053-6",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:18 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999184900536",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991",
}

@Article{Loh:1984:CFL,
  author =       "Chee Hoong Loh",
  title =        "{Chebyshev} filtering {Lanczos}' process in the
                 subspace iteration method",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "20",
  number =       "1",
  pages =        "182--186",
  month =        jan,
  year =         "1984",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/nme.1620200114",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "21 Jun 2005",
}

@Article{Nash:1984:NTM,
  author =       "Stephen G. Nash",
  title =        "{Newton}-type minimization via the {Lanczos} method",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "21",
  number =       "4",
  pages =        "770--788",
  month =        aug,
  year =         "1984",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65K10 (90C30)",
  MRnumber =     "86h:65092",
  MRreviewer =   "G. R. Wood",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@Article{Nour-Omid:1984:DAS,
  author =       "Bahram Nour-Omid and Ray W. Clough",
  title =        "Dynamic analysis of structures using {Lanczos}
                 co-ordinates",
  journal =      j-EARTHQUAKE-ENG-STRUCT-DYN,
  volume =       "12",
  number =       "4",
  pages =        "565--577",
  month =        "????",
  year =         "1984",
  CODEN =        "IJEEBG",
  DOI =          "https://doi.org/10.1002/eqe.4290120410",
  ISSN =         "0098-8847 (print), 1096-9845 (electronic)",
  ISSN-L =       "0098-8847",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Earthquake engineering \& structural dynamics",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-9845",
  onlinedate =   "28 Dec 2006",
}

@InProceedings{Parlett:1984:LAL,
  author =       "B. N. Parlett and D. R. Taylor and Z. S. Liu",
  title =        "The look ahead {Lanczos} algorithm for large
                 unsymmetric eigenproblems",
  crossref =     "Glowinski:1984:CMA",
  pages =        "87--96",
  year =         "1984",
  MRclass =      "65F15",
  MRnumber =     "MR806772 (86k:65028)",
  bibdate =      "Fri Nov 11 06:36:51 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib",
  ZMnumber =     "0564.65021",
  abstract =     "A modification of the Lanczos algorithm for solving
                 eigenproblems for large unsymmetric matrices is
                 proposed. The algorithm is based on the idea of the
                 pivoting strategy introduced in the paper of {\it J. R.
                 Bunch} and {\it B. N. Parlett} [SIAM J. Numer. Anal. 8,
                 639-655 (1971; Zbl 0199.498)], which reduces the
                 occurrence of breakdown of the algorithm. Some details
                 of the modified algorithm are discussed",
  acknowledgement = ack-nhfb,
  classmath =    "*65F15 Eigenvalues (numerical linear algebra)",
  keywords =     "breakdown; Lanczos algorithm; large unsymmetric
                 matrices; pivoting strategy",
  reviewer =     "T. Reginska",
}

@Article{Parlett:1984:SSE,
  author =       "B. N. Parlett",
  title =        "The software scene in the extraction of eigenvalues
                 from sparse matrices",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "5",
  number =       "3",
  pages =        "590--604",
  month =        sep,
  year =         "1984",
  CODEN =        "SIJCD4",
  ISSN =         "0196-5204",
  MRclass =      "65F15 (65F50)",
  MRnumber =     "85i:65048",
  MRreviewer =   "David R. Kincaid",
  bibdate =      "Tue Apr 29 19:18:28 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  classification = "C4140 (Linear algebra); C7310 (Mathematics
                 computing)",
  conflocation = "Fairfield Glade, TN, USA; 25-27 Oct. 1982",
  conftitle =    "Sparse Matrix Symposium",
  corpsource =   "Dept. of Math., California Univ., Berkeley, CA, USA",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "eigenvalues; eigenvalues and eigenfunctions; EISPACK;
                 FORTRAN subroutines; Lanczos algorithm; matrix algebra;
                 software; software packages; sparse matrices; subspace
                 iteration",
  sponsororg =   "Army Res. Office; Office of Naval Res.; Oak Ridge Nat.
                 Lab",
  treatment =    "P Practical",
}

@Article{Simon:1984:ASL,
  author =       "Horst D. Simon",
  title =        "Analysis of the Symmetric {Lanczos} Algorithm with
                 Reorthogonalization Methods",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "61",
  pages =        "101--131",
  year =         "1984",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F15 (65F10)",
  MRnumber =     "85k:65033",
  MRreviewer =   "Colette Lebaud",
  bibdate =      "Thu Jan 23 11:18:08 MST 1997",
  bibsource =    "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
  keywords =     "nla, eig, Lanczos algorithm, orthogonalization",
}

@Article{Simon:1984:LAP,
  author =       "Horst D. Simon",
  title =        "The {Lanczos} algorithm with partial
                 reorthogonalization",
  journal =      j-MATH-COMPUT,
  volume =       "42",
  number =       "165",
  pages =        "115--142",
  month =        jan,
  year =         "1984",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65F10 (65F25)",
  MRnumber =     "85h:65075",
  MRreviewer =   "O. O. Romanovs{\'k}i\u\i",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290P (Differential equations); C4170 (Differential
                 equations)",
  corpsource =   "Boeing Computer Services Co., Tukwila, WA, USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "eigenvalues; eigenvalues and eigenfunctions;
                 equations; full reorthogonalization; Lanczos algorithm;
                 linear differential; linear equations; orthogonality;
                 orthogonalization; partial; reorthogonalization;
                 roundoff errors; selective",
  treatment =    "T Theoretical or Mathematical",
}

@Book{Cullum:1985:LALa,
  author =       "Jane K. Cullum and Ralph A. Willoughby",
  title =        "{Lanczos} Algorithms for Large Symmetric Eigenvalue
                 Computations, Volume 1. Theory",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  pages =        "xiv + 273",
  year =         "1985",
  ISBN =         "0-8176-3292-1 (Boston: set), 0-8176-3058-9 (Boston:
                 vol. 1), 0-8176-3294-8 (Boston: vol. 2), 3-7643-3292-6
                 (Basel: set), 3-7643-3058-9 (Basel: vol. 1),
                 3-7643-3294-8 (Basel: vol. 2)",
  ISBN-13 =      "978-0-8176-3292-2 (Boston: set), 978-0-8176-3058-4
                 (Boston: vol. 1), 978-0-8176-3294-6 (Boston: vol. 2),
                 978-3-7643-3292-1 (Basel: set), 978-3-7643-3058-3
                 (Basel: vol. 1), 978-3-7643-3294-5 (Basel: vol. 2)",
  LCCN =         "QA193 .C84 1985",
  bibdate =      "Mon Mar 6 15:34:09 GMT 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib",
  URL =          "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
  mynote =       "Only skimmed. Tiny typeface. Emphasizes `local
                 orthogonality is enough' approach, as opposed to
                 Parlett \cite{Parlett:1980:SEP}'s `global orthogonality
                 is crucial'. They summarize Paige's error analysis but
                 don't (?) give any of their own.",
  remark =       "Volume 1. Theory",
  subject =      "Symmetric matrices; Data processing; Eigenvalues",
}

@Book{Cullum:1985:LALb,
  author =       "J. Cullum and R. A. Willoughby",
  title =        "{Lanczos} Algorithms for Large Symmetric Eigenvalue
                 Computations, Volume 2: Programs",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  year =         "1985",
  bibdate =      "Fri Jun 10 12:38:32 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Cullum:1985:SLP,
  author =       "Jane Cullum and Ralph A. Willoughby",
  title =        "A survey of {Lanczos} procedures for very large real
                 `symmetric' eigenvalue problems",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "12--13",
  number =       "??",
  pages =        "37--60",
  month =        may,
  year =         "1985",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/0377-0427(85)90006-8",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Fri Jun 10 16:10:44 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Madore:1985:KKT,
  author =       "J. Madore",
  title =        "{Kaluza--Klein} theory with the {Lanczos Lagrangian}",
  journal =      j-PHYS-LET-A,
  volume =       "110",
  number =       "6",
  pages =        "289--292",
  day =          "5",
  month =        aug,
  year =         "1985",
  CODEN =        "PYLAAG",
  DOI =          "https://doi.org/10.1016/0375-9601(85)90773-X",
  ISSN =         "0375-9601 (print), 1873-2429 (electronic)",
  ISSN-L =       "0375-9601",
  bibdate =      "Fri Jun 10 18:36:50 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Physics Letters A",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03759601",
}

@Article{Nour-Omid:1985:SCB,
  author =       "Bahram Nour-Omid and Ray W. Clough",
  title =        "Short communication: Block {Lanczos} method for
                 dynamic analysis of structures",
  journal =      j-EARTHQUAKE-ENG-STRUCT-DYN,
  volume =       "13",
  number =       "2",
  pages =        "271--275",
  month =        mar,
  year =         "1985",
  CODEN =        "IJEEBG",
  DOI =          "https://doi.org/10.1002/eqe.4290130210",
  ISSN =         "0098-8847 (print), 1096-9845 (electronic)",
  ISSN-L =       "0098-8847",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Earthquake engineering \& structural dynamics",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-9845",
  onlinedate =   "28 Dec 2006",
}

@Article{Ojalvo:1985:PUL,
  author =       "I. U. Ojalvo",
  title =        "Proper use of {Lanczos} vectors for large eigenvalue
                 problems",
  journal =      j-COMP-STRUCTURES,
  volume =       "20",
  number =       "1--3",
  pages =        "115--120",
  month =        "????",
  year =         "1985",
  CODEN =        "CMSTCJ",
  DOI =          "https://doi.org/10.1016/0045-7949(85)90060-4",
  ISSN =         "0045-7949 (print), 1879-2243 (electronic)",
  ISSN-L =       "0045-7949",
  bibdate =      "Fri Jun 10 17:06:56 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Comput. Struct.",
  fjournal =     "Computers and Structures",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00457949",
}

@InProceedings{Parlett:1985:ILA,
  author =       "B. Parlett and B. Nour-Omid and J. Jatvig",
  title =        "Implementation of {Lanczos} Algorithms on Vector
                 Computers",
  crossref =     "Numrich:1985:SA",
  pages =        "1--18",
  year =         "1985",
  bibdate =      "Thu Nov 10 18:36:35 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib",
  URL =          "https://www.math.utah.edu/pub/tex/bib/ovr.bib",
  acknowledgement = ack-nhfb,
}

@Article{Parlett:1985:LAL,
  author =       "Beresford N. Parlett and Derek R. Taylor and Zhishun
                 A. Liu",
  title =        "A look-ahead {Lanczos} algorithm for unsymmetric
                 matrices",
  journal =      j-MATH-COMPUT,
  volume =       "44",
  number =       "169",
  pages =        "105--124",
  month =        jan,
  year =         "1985",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65F15",
  MRnumber =     "MR771034 (86f:65072)",
  MRreviewer =   "Youcef Saad",
  bibdate =      "Fri Nov 11 06:36:51 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 JSTOR database; Parallel/par.lin.alg.bib",
  URL =          "https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib",
  ZMnumber =     "0564.65022",
  abstract =     "The Lanczos algorithm for nonsymmetric matrices is
                 studied. It is shown how breakdown caused by a pair of
                 corresponding basis vectors being orthogonal can be
                 remedied by computing further vectors in the Krylov
                 sequences. This corresponds to performing $ 2 \times 2
                 $ pivots when factorizing the moment matrix, which may
                 be indefinite for nonsymmetric eigenproblems. It is
                 stated that when $ 2 \times 2 $ pivots are insufficient
                 to continue the process, all eigenvalues have
                 converged. Results of a few numerical tests are
                 reported.",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290H (Linear algebra); C4140 (Linear algebra)",
  classmath =    "*65F15 Eigenvalues (numerical linear algebra)",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "eigenvalues and eigenfunctions; instability; Krylov
                 sequences; Lanczos algorithm; look-ahead Lanczos
                 algorithm; matrix; matrix algebra; moment; nonsymmetric
                 eigenproblems; numerical tests; plasma; triangular
                 factorization; tridiagonal matrix; unsymmetric
                 matrices",
  reviewer =     "A. Ruhe",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Bauchau:1986:SEU,
  author =       "O. A. Bauchau",
  title =        "A solution of the eigenproblem for undamped gyroscopic
                 systems with the {Lanczos} algorithm",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "23",
  number =       "9",
  pages =        "1705--1713",
  month =        sep,
  year =         "1986",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/nme.1620230910",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "22 Jun 2005",
}

@Article{Crisci:1986:TMP,
  author =       "M. R. Crisci",
  title =        "The tau method with perturbation term depending on the
                 differential operator",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "15",
  number =       "1",
  pages =        "123--136",
  month =        may,
  year =         "1986",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/0377-0427(86)90245-1",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Mon Jun 13 14:53:57 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0377042786902451",
  abstract =     "The tau method approximates the solution of a
                 differential equation with a polynomial, which is the
                 exact solution of a differential equation obtained by
                 adding to the right hand side of the given equation a
                 perturbation term, consisting of a suitably chosen
                 linear combination of polynomials.\par

                 Until now the Chebyshev and Legendre polynomials have
                 been used to this purpose, but the determination of the
                 best perturbation term is, still, an open
                 problem.\par

                 In this paper a perturbation term depending on the
                 differential equation is chosen. For this formulation
                 of the tau method, the existence of an infinite
                 sequence of tau approximants and the convergence of the
                 error to zero is proved. An estimate of the local
                 truncation error is also given, and the stability
                 properties are discussed.\par

                 Numerical results are also reported.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Gupta:1986:SLS,
  author =       "Viney K. Gupta and Scott D. Zillmer and Robert E.
                 Allison",
  title =        "Solving Large-scale Dynamic Systems Using Band
                 {Lanczos} Method in {Rockwell NASTRAN} on {Cray X-MP}",
  journal =      j-NASA-CONF-PUBL,
  pages =        "236--246",
  year =         "1986",
  CODEN =        "NACPDX",
  ISSN =         "0191-7811",
  bibdate =      "Mon Aug 26 10:51:12 MDT 1996",
  bibsource =    "Compendex database;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  abstract =     "The improved cost-effectiveness using better models,
                 more accurate and faster algorithms, and large-scale
                 computing offers more representative dynamic analyses.
                 The band Lanczos eigensolution method has been
                 implemented in Rockwell's version of 1984
                 COSMIC-released NASTRAN finite-element structural
                 analysis computer program to effectively solve for
                 structural vibration modes including those of large
                 complex systems exceeding 10,000 degrees of freedom.
                 The band Lanczos method is more reliable and accurate
                 and converges faster than the single vector Lanczos
                 Method. The band Lanczos method is comparable to the
                 subspace iteration method which is a block version of
                 the inverse power method. However, the subspace matrix
                 tends to be fully populated in the case of subspace
                 iteration and not as sparse as a band matrix.",
  acknowledgement = ack-nhfb,
  affiliation =  "Rockwell Int, Los Angeles, CA, USA",
  affiliationaddress = "Rockwell Int, Los Angeles, CA, USA",
  classification = "408; 722; 723; 921; 931",
  conference =   "Fourteenth NASTRAN Users' Colloquium.",
  fjournal =     "NASA conference publication",
  journalabr =   "NASA Conf Publ",
  keywords =     "BAND LANCZOS METHOD; Computer Applications; COMPUTER
                 PROGRAMS; COMPUTER SYSTEMS, DIGITAL --- Fast Response
                 Capability; LARGE-SCALE DYNAMIC SYSTEMS; MATHEMATICAL
                 TECHNIQUES --- Eigenvalues and Eigenfunctions; ROCKWELL
                 NASTRAN; STRUCTURAL ANALYSIS; VIBRATIONS --- Analysis",
  meetingaddress = "San Diego, CA, USA",
  sponsor =      "NASA, Washington, DC, USA",
}

@Article{Imiya:1986:SSS,
  author =       "Atsushi Imiya and Toshio Sasaki and Hidemitsu Ogawa",
  title =        "Signal smoothing by summation---generalized {Fejer}
                 method and generalized {Lanczos} method",
  journal =      j-ELECTRON-COMMUN-JPN-PART-1-COMMUN,
  volume =       "69",
  number =       "12",
  pages =        "21--28",
  month =        "????",
  year =         "1986",
  DOI =          "https://doi.org/10.1002/ecja.4410691203",
  ISSN =         "1520-6424 (print), 8756-6621 (electronic)",
  ISSN-L =       "1520-6424",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Electronics and Communications in Japan (Part I:
                 Communications)",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1520-6424",
  onlinedate =   "23 Mar 2007",
}

@Article{Morgan:1986:GDM,
  author =       "Ronald B. Morgan and David S. Scott",
  title =        "Generalizations of {Davidson}'s method for computing
                 eigenvalues of sparse symmetric matrices",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "7",
  number =       "3",
  pages =        "817--825",
  month =        jul,
  year =         "1986",
  CODEN =        "SIJCD4",
  ISSN =         "0196-5204",
  MRclass =      "65F15 (65F35 65F50)",
  MRnumber =     "87g:65056",
  bibdate =      "Tue Apr 29 19:18:28 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "See \cite{Davidson:1975:NIC}.",
  acknowledgement = ack-nhfb,
  classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
  corpsource =   "Dept. of Math., Texas Univ., Austin, TX, USA",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "eigenpairs; eigenvalues; eigenvalues and
                 eigenfunctions; generalised Davidson's method; matrix
                 algebra; preconditioning techniques; sparse symmetric
                 matrices",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Moro:1986:LAM,
  author =       "Giorgio Moro and Jack H. Freed",
  editor =       "Jane Cullum and Ralph A. Willoughby",
  booktitle =    "{Large scale eigenvalue problems: proceedings of the
                 IBM Europe Institute Workshop on Large Scale Eigenvalue
                 Problems held in Oberlech, Austria, July 8--12, 1985}",
  title =        "The {Lanczos} Algorithm in Molecular Dynamics:
                 Calculation of Spectral Densities",
  volume =       "127",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  bookpages =    "viii + 330",
  pages =        "143--161",
  year =         "1986",
  DOI =          "https://doi.org/10.1016/S0304-0208(08)72644-6",
  ISBN =         "0-444-70074-9 (paperback), 0-08-087238-7 (e-book)",
  ISBN-13 =      "978-0-444-70074-2 (paperback), 978-0-08-087238-4
                 (e-book)",
  ISSN =         "0304-0208",
  LCCN =         "QA193 .I26 1985",
  bibdate =      "Fri Jun 10 16:40:55 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Large Scale Eigenvalue Problems, Proceedings of the
                 IBM Europe Institute Workshop on Large Scale Eigenvalue
                 Problems",
  series =       "North-Holland Mathematics Studies",
  acknowledgement = ack-nhfb,
  xxbookpages =  "v + 330",
}

@Article{Sehmi:1986:LAA,
  author =       "N. S. Sehmi",
  title =        "The {Lanczos} algorithm applied to {Kron}'s method",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "23",
  number =       "10",
  pages =        "1857--1872",
  month =        oct,
  year =         "1986",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/nme.1620231006",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "22 Jun 2005",
}

@Article{Barbour:1987:UFL,
  author =       "I. M. Barbour and N.-E Behilil and P. E. Gibbs and M.
                 Rafiq and K. J. M. Moriarty and G. Schierholz",
  title =        "Updating fermions with the {Lanczos} method",
  journal =      j-J-COMPUT-PHYS,
  volume =       "68",
  number =       "1",
  pages =        "227--236",
  month =        jan,
  year =         "1987",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(87)90053-2",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:33 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999187900532",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991",
}

@Article{Bostic:1987:ILM,
  author =       "S. Bostic and R. Fulton",
  title =        "Implementation of the {Lanczos} Method for Structural
                 Vibration Analysis on a Parallel Computer",
  journal =      j-COMP-STRUCTURES,
  volume =       "25",
  pages =        "395--404",
  year =         "1987",
  CODEN =        "CMSTCJ",
  ISSN =         "0045-7949 (print), 1879-2243 (electronic)",
  ISSN-L =       "0045-7949",
  bibdate =      "Fri Jun 10 12:38:32 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Structures",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00457949",
}

@Article{Clutton-Brock:1987:GFL,
  author =       "M. Clutton-Brock",
  title =        "Generalized {Fej{\'e}r} and {Lanczos} kernels",
  journal =      j-SIAM-J-MATH-ANA,
  volume =       "18",
  number =       "1",
  pages =        "259--272",
  month =        jan,
  year =         "1987",
  CODEN =        "SJMAAH",
  ISSN =         "0036-1410 (print), 1095-7154 (electronic)",
  ISSN-L =       "0036-1410",
  MRclass =      "41A36 (42A10)",
  MRnumber =     "88d:41034",
  MRreviewer =   "W. A. Al-Salam",
  bibdate =      "Sun Nov 28 19:24:01 MST 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/18/1;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Mathematical Analysis",
  journal-URL =  "http://epubs.siam.org/sima",
}

@Article{Coleman:1987:CPA,
  author =       "John P. Coleman",
  title =        "Complex polynomial approximation by the {Lanczos} $
                 \tau $-method: {Dawson}'s integral",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "20",
  number =       "??",
  pages =        "137--151",
  month =        nov,
  year =         "1987",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/0377-0427(87)90131-2",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sun Jun 12 08:36:08 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0377042787901312",
  abstract =     "The Lanczos $ \tau $-method, with perturbations
                 proportional to Faber polynomials, is used to obtain
                 polynomial approximations for Dawson's integral on
                 circular sectors. An upper bound on the truncation
                 error is established for one form of the $ \tau
                 $-method, which gives near-minimax polynomial
                 approximations, and it is found that this bound
                 provides a useful estimate of the truncation error. The
                 Faber series for Dawson's integral on a circular sector
                 is also investigated. Numerical results show that the $
                 \tau $-method can produce polynomial approximations as
                 accurate as the truncated Faber series, with much less
                 effort than is involved in computing the Faber
                 coefficients.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@InProceedings{Cooley:1987:HFG,
  author =       "J. W. Cooley",
  editor =       "G. E. Crane",
  booktitle =    "Proceedings of the {ACM Conference on the History of
                 Scientific and Numeric Computation, Princeton, NJ May
                 13--15, 1987}",
  title =        "How the {FFT} gained acceptance",
  publisher =    pub-ACM,
  address =      pub-ACM:adr,
  bookpages =    "viii + 150",
  year =         "1987",
  DOI =          "https://doi.org/10.1145/41579.41589",
  ISBN =         "0-89791-229-2",
  ISBN-13 =      "978-0-89791-229-7",
  LCCN =         "QA297 .A32 1987",
  bibdate =      "Thu Jun 02 18:45:52 2011",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib",
  acknowledgement = ack-nhfb,
  remark =       "This is essentially the same as
                 \cite{Cooley:1990:HFG}.",
}

@Article{Cybenko:1987:EFL,
  author =       "George Cybenko",
  title =        "An explicit formula for {Lanczos} polynomials",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "88/89",
  pages =        "99--115",
  year =         "1987",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F15 (15A18 65F30)",
  MRnumber =     "88d:65071",
  MRreviewer =   "Vasile I. Ionescu",
  bibdate =      "Thu Jan 23 11:18:08 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Ericsson:1987:LAF,
  author =       "Thomas Ericsson and Axel Ruhe",
  title =        "{L}{\'a}nczos algorithms and field of value rotations
                 for symmetric matrix pencils",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "88/89",
  pages =        "733--746",
  year =         "1987",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F15",
  MRnumber =     "88f:65056",
  MRreviewer =   "H. R. Schwarz",
  bibdate =      "Thu Jan 23 11:18:08 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Friedrichs:1987:SPM,
  author =       "Mark S. Friedrichs and Richard A. Friesner",
  title =        "Solution of the {Pauli} master equation via the
                 {Lanczos} algorithm",
  journal =      j-CHEM-PHYS-LETT,
  volume =       "137",
  number =       "3",
  pages =        "285--290",
  day =          "12",
  month =        jun,
  year =         "1987",
  CODEN =        "CHPLBC",
  DOI =          "https://doi.org/10.1016/0009-2614(87)80220-8",
  ISSN =         "0009-2614 (print), 1873-4448 (electronic)",
  ISSN-L =       "0009-2614",
  bibdate =      "Fri Jun 10 18:35:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Chemical Physics Letters",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00092614",
}

@TechReport{Golub:1987:SHC,
  author =       "Gene H. Golub and Dianne P. O'Leary",
  title =        "Some history of the conjugate gradient and {Lanczos}
                 algorithms: 1948--1976",
  type =         "Technical Report",
  number =       "TR-1859, UMIACS-TR-87-20",
  institution =  inst-U-MARYLAND-CS,
  address =      inst-U-MARYLAND-CS:adr,
  pages =        "51",
  month =        "??",
  year =         "1987",
  bibdate =      "Mon Oct 24 10:35:29 MDT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  keywords =     "Algorithms --- Bibliography",
}

@TechReport{Grimes:1987:DAL,
  author =       "R. Grimes and H. Simon",
  title =        "Dynamic Analysis with the {Lanczos} Algorithm on the
                 {SCS-40}",
  number =       "ETA-TR-43",
  institution =  BCS,
  month =        jan,
  year =         "1987",
  bibdate =      "Fri Jun 10 12:38:34 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Miller:1987:TSI,
  author =       "H. G. Miller and M. C. Steenkamp and C. J. Wright",
  title =        "A two-step iterative block {Lanczos} algorithm for a
                 dominant eigenspan",
  journal =      j-J-COMPUT-PHYS,
  volume =       "72",
  number =       "2",
  pages =        "383--392",
  month =        oct,
  year =         "1987",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(87)90089-1",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:37 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999187900891",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991",
}

@Article{Nour-Omid:1987:LMH,
  author =       "Bahram Nour-Omid",
  title =        "{Lanczos} method for heat conduction analysis",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "24",
  number =       "1",
  pages =        "251--262",
  month =        jan,
  year =         "1987",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/nme.1620240117",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "22 Jun 2005",
}

@TechReport{Parlett:1987:CLC,
  author =       "Beresford N. Parlett and B. Nour-Omid and A. Raefsky",
  title =        "Comparison of {Lanczos} with conjugate gradient using
                 element preconditioning",
  type =         "Technical Report",
  number =       "PAM-363",
  institution =  inst-CPAM-UCB,
  address =      inst-CPAM-UCB:adr,
  month =        feb,
  year =         "1987",
  bibdate =      "Fri Nov 11 09:09:56 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib",
  acknowledgement = ack-nhfb,
  xxnote =       "Check author list??",
}

@TechReport{Parlett:1987:MLA,
  author =       "Beresford N. Parlett",
  title =        "Misconvergence in the {Lanczos} algorithm",
  type =         "Technical Report",
  number =       "PAM-404",
  institution =  inst-CPAM-UCB,
  address =      inst-CPAM-UCB:adr,
  month =        dec,
  year =         "1987",
  bibdate =      "Fri Nov 11 09:09:56 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib",
  acknowledgement = ack-nhfb,
}

@Article{Payne:1987:LAS,
  author =       "G. L. Payne",
  title =        "The {Lanczos} algorithm and spline expansions",
  journal =      j-NUCL-PHYS-A,
  volume =       "463",
  number =       "1--2",
  pages =        "139--144",
  day =          "16",
  month =        feb,
  year =         "1987",
  CODEN =        "NUPABL",
  DOI =          "https://doi.org/10.1016/0375-9474(87)90655-5",
  ISSN =         "0375-9474 (print), 1873-1554 (electronic)",
  ISSN-L =       "0375-9474",
  bibdate =      "Fri Jun 10 18:33:28 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Nuclear Physics A",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03759474",
}

@Article{Saad:1987:LMS,
  author =       "Youcef Saad",
  title =        "On the {Lanczos} Method for Solving Symmetric Systems
                 with Several Right-Hand Sides",
  journal =      j-MATH-COMPUT,
  volume =       "48",
  number =       "178",
  pages =        "651--662",
  month =        apr,
  year =         "1987",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.2307/2007834",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65F10 (65F50)",
  MRnumber =     "878697 (88d:65066)",
  bibdate =      "Sun Sep 5 09:21:22 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib;
                 JSTOR database; MathSciNet database;
                 Theory/Matrix.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290B (Error analysis in numerical methods); B0290H
                 (Linear algebra); C4110 (Error analysis in numerical
                 methods); C4140 (Linear algebra)",
  corpsource =   "Dept. of Comput. Sci., Yale Univ., New Haven, CT,
                 USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "approximation; block; conjugate gradient algorithms;
                 error analysis; error bound; Galerkin technique; Krylov
                 subspace; Lanczos method; linear systems; matrix
                 algebra; orthogonalization; projection process;
                 right-hand; sides; sparse symmetric linear systems;
                 symmetric",
  kwds =         "nla, Lanczos algorithm, linear system",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Wassam:1987:DLTa,
  author =       "W. A. {Wassam, Jr.} and Go. Torres-Vega and J.
                 Neito-Frausto",
  title =        "Dual {Lanczos} Transformation Theory: Exact Continued
                 Fraction Expression for Resonant $ \gamma $-ray
                 Absorption Spectrum of a Harmonically Bound Atom
                 Executing Classical Motion Described by {Smoluchowski}
                 Dynamics",
  journal =      j-CHEM-PHYS-LETT,
  volume =       "136",
  number =       "1",
  pages =        "26--30",
  year =         "1987",
  CODEN =        "CHPLBC",
  ISSN =         "0009-2614 (print), 1873-4448 (electronic)",
  ISSN-L =       "0009-2614",
  bibdate =      "Fri Jun 10 12:38:34 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  comment =      "From the paper: ``\ldots{} with the aid of symbolic
                 manipulation techniques, we construct a previously
                 unknown exact continued fraction for the resonany
                 $\gamma$-ray absorption spectrum \ldots{}''. The system
                 used is {REDUCE} on a Burroughs.",
  fjournal =     "Chemical Physics Letters",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00092614",
}

@Article{Wassam:1987:DLTb,
  author =       "W. A. {Wassam, Jr.} and Go. Torres-Vega",
  title =        "Dual {Lanczos} Transformation Theory: Closed Set of
                 Algebraic Equations Connecting {Lanczos} Parameters
                 with Moments in Moment Expansions of Time-Dependent
                 Quantities",
  journal =      j-CHEM-PHYS-LETT,
  volume =       "134",
  number =       "4",
  pages =        "355--360",
  year =         "1987",
  CODEN =        "CHPLBC",
  ISSN =         "0009-2614 (print), 1873-4448 (electronic)",
  ISSN-L =       "0009-2614",
  bibdate =      "Fri Jun 10 12:38:34 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  comment =      "From the paper: ``The utility of this set of equations
                 is illustrated by using them with the aid of symbolic
                 manipulation on a computer to construct a previously
                 unknown exact continued fraction for the spectral
                 density of the incoherent scattering function
                 \ldots{}.'' The system used is REDUCE on a Burroughs.
                 Appear enthusiastic about the possibilities for
                 computer algebra in related fields.",
  fjournal =     "Chemical Physics Letters",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00092614",
}

@Article{Gupta:1988:DBL,
  author =       "K. K. Gupta and C. L. Lawson",
  title =        "Development of a block {Lanczos} algorithm for free
                 vibration analysis of spinning structures",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "26",
  number =       "5",
  pages =        "1029--1037",
  month =        may,
  year =         "1988",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/nme.1620260503",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "23 Jun 2005",
}

@Article{Kim:1988:SDA,
  author =       "Hyoung M. Kim and Roy R. {Craig, Jr.}",
  title =        "Structural dynamics analysis using an unsymmetric
                 block {Lanczos} algorithm",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "26",
  number =       "10",
  pages =        "2305--2318",
  month =        oct,
  year =         "1988",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/nme.1620261012",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "23 Jun 2005",
}

@InProceedings{Nour-Omid:1988:CLC,
  author =       "B. Nour-Omid and B. Parlett and A. Raefsky",
  title =        "Comparison of {Lanczos} with Conjugate Gradient Using
                 Element Preconditioning",
  crossref =     "Glowinski:1988:FIS",
  pages =        "250--260",
  year =         "1988",
  bibdate =      "Thu Nov 10 18:35:12 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib",
  URL =          "https://www.math.utah.edu/pub/tex/bib/ovr.bib",
  ZMnumber =     "0658.65034",
  acknowledgement = ack-nhfb,
  classmath =    "*65F10 Iterative methods for linear systems 65F35
                 Matrix norms, etc. (numerical linear algebra) 65N30
                 Finite numerical methods (BVP of PDE) 35J25 Second
                 order elliptic equations, boundary value problems",
  keywords =     "conjugate gradients; finite elements; Lanczos method;
                 preconditioning",
  reviewer =     "H. R. Schwarz",
}

@TechReport{Parlett:1988:HMS,
  author =       "Beresford N. Parlett and B. Nour-Omid and Zhishun A.
                 Liu",
  title =        "How to maintain semi-orthogonality among {Lanczos}
                 vectors",
  type =         "Technical Report",
  number =       "PAM-420",
  institution =  inst-CPAM-UCB,
  address =      inst-CPAM-UCB:adr,
  month =        jul,
  year =         "1988",
  bibdate =      "Fri Nov 11 09:09:56 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib",
  acknowledgement = ack-nhfb,
}

@Article{AresdeParga:1989:LP,
  author =       "Gonz{\'a}lo {Ares de Parga} and Oscar {Chavoya A.} and
                 Jos{\'e} L. {L{\'o}pez Bonilla}",
  title =        "{Lanczos} potential",
  journal =      j-J-MATH-PHYS,
  volume =       "30",
  number =       "6",
  pages =        "1294--1295",
  month =        jun,
  year =         "1989",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.528306",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  MRclass =      "53C80 (83C60)",
  MRnumber =     "90h:53090",
  bibdate =      "Fri Jan 2 07:23:17 MST 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
}

@Article{Coutinho:1989:MST,
  author =       "Alvaro L. G. A. Coutinho and Luiz Landau and Luiz C.
                 Wrobel and Nelson F. F. Ebecken",
  title =        "Modal solution of transient heat conduction utilizing
                 {Lanczos} algorithm",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "28",
  number =       "1",
  pages =        "13--25",
  month =        jan,
  year =         "1989",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/nme.1620280104",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "23 Jun 2005",
}

@Article{Cullum:1989:GNL,
  author =       "J. Cullum and W. Kerner and R. Willoughby",
  title =        "A Generalized Nonsymmetric {Lanczos} Procedure",
  journal =      j-COMP-PHYS-COMM,
  volume =       "53",
  number =       "1--3",
  pages =        "19--48",
  month =        may,
  year =         "1989",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(89)90146-X",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Fri Jun 10 11:59:40 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  kwds =         "nla, geig, Lanczos algorithm, nonsymmetric matrix",
}

@Article{Golub:1989:SHC,
  author =       "Gene H. Golub and Dianne P. O'Leary",
  title =        "Some History of the Conjugate Gradient and {Lanczos}
                 Algorithms: 1948--1976",
  journal =      j-SIAM-REVIEW,
  volume =       "31",
  number =       "1",
  pages =        "50--102",
  month =        mar,
  year =         "1989",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1031003",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "65-03 (00A15 01A60 65-00 65Fxx 90-03)",
  MRnumber =     "90b:65003",
  bibdate =      "Sat Mar 29 09:54:31 MDT 2014",
  bibsource =    "Compendex database;
                 ftp://ftp.ira.uka.de/pub/bibliography/Parallel/par.lin.alg.bib;
                 http://epubs.siam.org/toc/siread/31/1;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://www.jstor.org/stable/2030847",
  abstract =     "The conjugate gradient and Lanczos algorithms for
                 solving linear systems of equations and eigenproblems
                 represent very important computational innovations of
                 the early 1950s. These methods came into wide use only
                 in the mid-1970s. Shortly thereafter, vector computers
                 and massive computer memories made it possible to use
                 these methods to solve problems which could not be
                 solved in any other way. Since that time, the
                 algorithms have been further refined and have become a
                 basic tool for solving a wide variety of problems on a
                 wide variety of computer architectures. The conjugate
                 gradient algorithm has also been extended to solve
                 nonlinear systems of equations and optimization
                 problems, and this has had tremendous impact on the
                 computation of unconstrained and constrained
                 optimization problems. This paper gives some of the
                 history of the conjugate gradient and Lanczos
                 algorithms and an annotated bibliography for the period
                 1948--1976.",
  acknowledgement = ack-nhfb,
  affiliation =  "Stanford Univ",
  affiliationaddress = "Stanford, CA, USA",
  classification = "723; 921",
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  journalabr =   "SIAM Rev",
  keywords =     "Algorithms; Computer Programming--Algorithms;
                 Conjugate Gradient Algorithm; Lanczos Algorithm;
                 Mathematical Techniques; Optimization--Theory; Variable
                 Metric Algorithms",
  mynote =       "June 1987 Maryland TR-1859",
  onlinedate =   "March 1989",
  subject =      "G.1.3 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Numerical Linear Algebra, Linear systems (direct and
                 iterative methods) \\ G.1.3 Mathematics of Computing,
                 NUMERICAL ANALYSIS, Numerical Linear Algebra,
                 Eigenvalues \\ G.1.3 Mathematics of Computing,
                 NUMERICAL ANALYSIS, Numerical Linear Algebra, Matrix
                 inversion",
}

@Book{Golub:1989:MC,
  author =       "Gene H. Golub and Charles F. {Van Loan}",
  title =        "Matrix Computations",
  volume =       "3",
  publisher =    pub-JOHNS-HOPKINS,
  address =      pub-JOHNS-HOPKINS:adr,
  edition =      "Second",
  pages =        "xix + 642",
  year =         "1989",
  ISBN =         "0-8018-3772-3 (hardcover), 0-8018-3739-1 (paperback)",
  ISBN-13 =      "978-0-8018-3772-2 (hardcover), 978-0-8018-3739-5
                 (paperback)",
  LCCN =         "QA188 .G65 1989",
  MRclass =      "65Fxx (65-02)",
  MRnumber =     "90d:65055",
  MRreviewer =   "Perry Smith",
  bibdate =      "Mon Oct 26 07:31:01 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib;
                 https://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 https://www.math.utah.edu/pub/tex/bib/texbook2.bib",
  price =        "US\$14.50",
  series =       "Johns Hopkins Series in the Mathematical Sciences",
  ZMnumber =     "0733.65016",
  abstract =     "Thoroughly revised, updated, and expanded by more than
                 one third, this new edition of Golub and Van Loan's
                 landmark book in scientific computing provides the
                 vital mathematical background and algorithmic skills
                 required for the production of numerical software. New
                 chapters on high performance computing use matrix
                 multiplication to show how to organize a calculation
                 for vector processors as well as for computers with
                 shared or distributed memories. Also new are
                 discussions of parallel vector methods for linear
                 equations, least squares, and eigenvalue problems.",
  acknowledgement = ack-nhfb,
  author-dates = "Gene Howard Golub (February 29, 1932--November 16,
                 2007)",
  keywords =     "book; math; matrices --- data processing; matrices ---
                 informatique; na; nla",
  libnote =      "Not yet in my library.",
  remark =       "See review by G. W. Steward in Mathematics of
                 Computation, Vol. 56, No. 193 (Jan., 1991),
                 pp. 380--381.",
  shorttableofcontents = "Preface to the Third Edition \\
                 Software \\
                 Selected References \\
                 Matrix Multiplication Problems / 1 \\
                 Matrix Analysis / 48 \\
                 General Linear Systems / 87 \\
                 Special Linear Systems / 133 \\
                 Orthogonalization and Least Squares / 206 \\
                 Parallel Matrix Computations / 275 \\
                 The Unsymmetric Eigenvalue Problem / 308 \\
                 The Symmetric Eigenvalue Problem / 391 \\
                 Lanczos Methods / 470 \\
                 Iterative Methods for Linear Systems / 508 \\
                 Functions of Matrices / 555 \\
                 Special Topics / 579 \\
                 Bibliography / 637 \\
                 Index / 687",
  tableofcontents = "Preface to the First Edition / xi \\
                 Preface to the Second Edition / xv \\
                 Using the Book / xvii \\
                 1: Matrix Multiplication Problems / 1 \\
                 1.1 Basic Algorithms and Notations / 2 \\
                 1.2 Exploiting Structure / 16 \\
                 1.3 Block Matrices and Algorithms / 25 \\
                 1.4 Aspects of Vector Pipeline Computing / 35 \\
                 2: Matrix Analysis / 49 \\
                 2.1 Basic Ideas from Linear Algebra / 49 \\
                 2.2 Vector Norms / 53 \\
                 2.3 Matrix Norms / 55 \\
                 2.4 Finite Precision Matrix Computations / 60 \\
                 2.5 Orthogonality and the SVD / 70 \\
                 2.6 Projections and the CS Decomposition / 75 \\
                 2.7 The Sensitivity of Square Linear Systems / 79 \\
                 3: General Linear Systems / 86 \\
                 3.1 Triangular Systems / 86 \\
                 3.2 Computing the LU Factorization / 92 \\
                 3.3 Roundoff Analysis of Gaussian Elimination / 104 \\
                 3.4 Pivoting / 108 \\
                 3.5 Improving and Estimating Accuracy / 123 \\
                 4: Special Linear Systems / 133 \\
                 4.1 The $LDM^T$ and $LDL^T$ Factorizations / 134 \\
                 4.2 Positive Definite Systems / 139 \\
                 4.3 Banded Systems / 149 \\
                 4.4 Symmetric Indefinite Systems / 159 \\
                 4.5 Block Tridiagonal Systems / 170 \\
                 4.6 Vandermonde Systems / 178 \\
                 4.7 Toeplitz Systems / 183 \\
                 5: Orthogonalization and Least Squares / 193 \\
                 5.1 Householder and Givens Transformations / 194 \\
                 5.2 The $Q R$ Factorization / 211 \\
                 5.3 The Full Rank Least Squares Problem / 221 \\
                 5.4 Other Orthogonal Factorizations / 233 \\
                 5.5 The Rank Deficient Least Squares Problem / 241 \\
                 5.6 Weighting and Iterative Improvement / 250 \\
                 5.7 A Note on Square and Underdetermined Systems / 256
                 \\
                 6: Parallel Matrix Computations / 260 \\
                 6.1 Distributed Memory Gaxpy / 261 \\
                 6.2 Shared Memory Gaxpy / 276 \\
                 6.3 Parallel Matrix Multiplication / 288 \\
                 6.4 Ring Factorization Procedures / 301 \\
                 6.5 Mesh Factorization Procedures / 310 \\
                 6.6 Shared Memory Factorization Methods / 321 \\
                 7: The Unsymmetric Eigenvalue Problem / 331 \\
                 7.1 Properties and Decompositions / 332 \\
                 7.2 Perturbation Theory / 341 \\
                 7.3 Power Iterations / 351 \\
                 7.4 Hessenberg and Real Schur Forms / 361 \\
                 7.5 The Practical $Q R$ Algorithm / 373 \\
                 7.6 Invariant Subspace Computations / 382 \\
                 7.7 The $QZ$ Method for $A x = \lambda B x$ / 394 \\
                 8: The Symmetric Eigenvalue Problem / 409 \\
                 8.1 Properties, Decompositions, Perturbation Theory /
                 410 \\
                 8.2 The Symmetric $Q R$ Algorithm / 418 \\
                 8.3 Computing the SVD / 427 \\
                 8.4 Some Special Methods / 437 \\
                 8.5 Jacobi Methods / 444 \\
                 8.6 A Divide and Conquer Method / 459 \\
                 8.7 More Generalized Eigenvalue Problems / 466 \\
                 9: Lanczos Methods / 475 \\
                 9.1 Derivation and Convergence Properties / 476 \\
                 9.2 Practical Lanczos Procedures / 484 \\
                 9.3 Applications and Extensions / 494 \\
                 10: Iterative Methods for Linear Systems / 505 \\
                 10.1 The Standard Iterations / 506 \\
                 10.2 The Conjugate Gradient Method / 516 \\
                 10.3 Preconditioned Conjugate Gradient Methods / 527
                 \\
                 11: Functions of Matrices / 539 \\
                 11.1 Eigenvalue Methods / 540 \\
                 11.2 Approximation Methods / 546 \\
                 11.3 The Matrix Exponential / 555 \\
                 12: Special Topics / 561 \\
                 12.1 Some Constrained Least Squares Problems / 561 \\
                 12.2 Subset Selection Using the SVD / 571 \\
                 12.3 Total Least Squares / 576 \\
                 12.4 Comparing Subspaces Using the SVD / 581 \\
                 12.5 Some Modified Eigenvalue Problems / 587 \\
                 12.6 Updating the $Q R$ Factorization / 592 \\
                 Bibliography / 601 \\
                 Index / 635",
}

@Article{Greenbaum:1989:BSP,
  author =       "Anne Greenbaum",
  title =        "Behavior of Slightly Perturbed {Lanczos} and
                 Conjugate-Gradient Recurrences",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "113",
  pages =        "7--63",
  year =         "1989",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F10 (33A65)",
  MRnumber =     "90e:65044",
  MRreviewer =   "Zden{\v{e}}k Dost{\'a}l",
  bibdate =      "Thu Jan 23 11:18:08 MST 1997",
  bibsource =    "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
  keywords =     "nla, conjugate gradients, Lanczos algorithm, rounding
                 error",
}

@Article{Kress:1989:SSE,
  author =       "J. D. Kress and S. B. Woodruff and G. A. Parker and R.
                 T. Pack",
  title =        "Some strategies for enhancing the performance of the
                 block {Lanczos} method",
  journal =      j-COMP-PHYS-COMM,
  volume =       "53",
  number =       "1--3",
  pages =        "109--115",
  month =        may,
  year =         "1989",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(89)90151-3",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Fri Jun 10 17:12:30 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@Article{Nex:1989:BLA,
  author =       "C. M. M. Nex",
  title =        "The block {Lanczos} algorithm and the calculation of
                 matrix resolvents",
  journal =      j-COMP-PHYS-COMM,
  volume =       "53",
  number =       "1--3",
  pages =        "141--146",
  month =        may,
  year =         "1989",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(89)90155-0",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Fri Jun 10 17:19:40 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@Article{Nour-Omid:1989:ALM,
  author =       "B. Nour-Omid",
  title =        "Applications of the {Lanczos} method",
  journal =      j-COMP-PHYS-COMM,
  volume =       "53",
  number =       "1--3",
  pages =        "157--168",
  month =        may,
  year =         "1989",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(89)90157-4",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Fri Jun 10 16:47:12 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib",
  abstract =     "In this paper we are concerned with the application of
                 the unsymmetric two sided Lanczos method to systems of
                 first order differential equations and its associated
                 problems; namely generalized eigenproblems and linear
                 systems of equations. The unsymmetric Lanczos method is
                 first used to generate two sets of vectors; the left
                 and right Lanczos vectors. These Lanczos vectors are
                 used directly in a method of weighted residual to
                 reduce the differential equations to a small
                 unsymmetric tridiagonal system. The advantage of this
                 method is that the reduced system can be solved
                 directly thus eliminating the usual computation of the
                 complex eigenpairs.\par

                 An algorithm is then derived by simplifying the two
                 sided Lanczos method for systems of equations with a
                 symmetric matrix pair. By appropriate choice of the
                 starting vectors we obtain an implementation of the
                 Lanczos method that is remarkably close to that in ref.
                 [9], but generalized to the case with indefinite matrix
                 coefficients. This modification results in a simple
                 relation between the left and right Lanczos vectors, a
                 symmetric tridiagonal, and a diagonal matrix. The
                 system of differential equations can then be reduced to
                 one with a symmetric tridiagonal and diagonal
                 coefficient matrices. The modified algorithm is also
                 suitable for eigenproblems with symmetric indefinite
                 matrices and for solution of systems of equations using
                 indefinite preconditioning matrices.\par

                 This approach is used to evaluate the vibration
                 response of a damped beam problem and a space mast
                 structure with a symmetric damping matrix arising from
                 velocity feedback control forces. In both problems,
                 accurate solutions were obtained with as few as 20
                 Lanczos vectors.",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@Article{Nour-Omid:1989:LMD,
  author =       "B. Nour-Omid and M. E. Regelbrugge",
  title =        "{Lanczos} method for dynamic analysis of damped
                 structural systems",
  journal =      j-EARTHQUAKE-ENG-STRUCT-DYN,
  volume =       "18",
  number =       "8",
  pages =        "1091--1104",
  month =        nov,
  year =         "1989",
  CODEN =        "IJEEBG",
  DOI =          "https://doi.org/10.1002/eqe.4290180802",
  ISSN =         "0098-8847 (print), 1096-9845 (electronic)",
  ISSN-L =       "0098-8847",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Earthquake engineering \& structural dynamics",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-9845",
  onlinedate =   "29 Nov 2006",
}

@Article{Parlett:1989:TBB,
  author =       "Beresford N. Parlett and Bahram Nour-Omid",
  title =        "Towards a black box {Lanczos} program",
  journal =      j-COMP-PHYS-COMM,
  volume =       "53",
  number =       "1--3",
  pages =        "169--179",
  month =        may,
  year =         "1989",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(89)90158-6",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Fri Nov 11 06:36:51 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib",
  URL =          "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  ZMnumber =     "0798.65054",
  abstract =     "The Lanczos algorithm may be used to find a few
                 eigenvalues and eigenvectors of a large matrix. We
                 describe some of the difficulties encountered in trying
                 to make a black box program requiring no judgements
                 from the user.",
  acknowledgement = ack-nhfb,
  classmath =    "*65F15 Eigenvalues (numerical linear algebra)",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  keywords =     "black box program; eigenvalues; eigenvectors; Lanczos
                 algorithm; large matrix",
}

@PhdThesis{Sadkane:1989:ANM,
  author =       "M. Sadkane",
  title =        "Analyse num{\'e}rique de la m{\'e}thode de
                 {Davidson}",
  type =         "{Ph.D. thesis}",
  school =       "UER math{\'e}matiques et Informatique,
                 l'universit{\'e} de Rennes",
  address =      "Rennes, France",
  year =         "1989",
  bibdate =      "Fri Jun 10 23:37:05 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "See \cite{Davidson:1975:NIC}.",
  acknowledgement = ack-nhfb,
}

@Article{Sonneveld:1989:CFL,
  author =       "Peter Sonneveld",
  title =        "{CGS}, a fast {Lanczos}-type solver for nonsymmetric
                 linear systems",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "10",
  number =       "1",
  pages =        "36--52",
  month =        jan,
  year =         "1989",
  CODEN =        "SIJCD4",
  ISSN =         "0196-5204",
  MRclass =      "65F50",
  MRnumber =     "89k:65052",
  bibdate =      "Tue Apr 29 19:18:28 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290H (Linear algebra); B0290P (Differential
                 equations); C4140 (Linear algebra); C4170 (Differential
                 equations)",
  corpsource =   "Delft Univ. of Technol., Netherlands",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "bi-conjugate gradients; conjugate gradients algorithm;
                 convergence rate; elliptic partial differential
                 equations; iterative methods; Lanczos-type method;
                 linear algebra; nonsymmetric sparse linear systems;
                 numerical methods; partial differential equations",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Cooley:1990:HFG,
  author =       "J. W. Cooley",
  title =        "How the {FFT} gained acceptance",
  crossref =     "Nash:1990:HSC",
  pages =        "133--140",
  year =         "1990",
  bibdate =      "Sat Jun 11 16:21:12 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib",
  note =         "Nowack \cite[p. 395]{Nowack:1994:DFA} quotes Cooley
                 from this paper: {\em it appears that Lanczos had the
                 FFT algorithm; and if he had had an electronic
                 computer, he would have been able to write a program
                 permitting him to go to arbitrarily high $N$}.",
  acknowledgement = ack-nhfb,
  remark =       "This is essentially the same as
                 \cite{Cooley:1987:HFG}.",
}

@Article{Ferng:1990:ALM,
  author =       "W. R. Ferng and G. H. Golub and R. J. Plemmons",
  title =        "Adaptive {Lanczos} methods for recursive condition
                 estimation",
  journal =      j-PROC-SPIE,
  volume =       "1348",
  pages =        "326--337",
  month =        "????",
  year =         "1990",
  CODEN =        "PSISDG",
  ISSN =         "0277-786X (print), 1996-756X (electronic)",
  ISSN-L =       "0277-786X",
  bibdate =      "Mon Sep 9 11:37:15 MDT 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  abstract =     "This paper proposes an adaptive Lanczos Estimator
                 scheme for tracking the condition number of the
                 modified matrix over time. Applications to recursive
                 least squares computations using the covariance method
                 with sliding data windows are considered. Comparisons
                 are made with other adaptive and non-adaptive condition
                 estimators for recursive least squares problems.
                 Numerical experiments are reported.",
  acknowledgement = ack-nhfb,
  affiliation =  "Dept. of Math., North Carolina State Univ., Raleigh,
                 NC, USA",
  classification = "B0290H (Linear algebra); B6140 (Signal processing
                 and detection); C1240 (Adaptive system theory); C1260
                 (Information theory); C4140 (Linear algebra)",
  fjournal =     "Proceedings of the SPIE --- The International Society
                 for Optical Engineering",
  keywords =     "Adaptive Lanczos Estimator; Covariance method;
                 Modified matrix; Recursive condition estimation;
                 Recursive least squares computations; RLS method;
                 Signal processing; Sliding data windows",
  thesaurus =    "Adaptive filters; Least squares approximations; Matrix
                 algebra; Parameter estimation; Signal processing;
                 Variational techniques",
}

@Article{Kim:1990:CEU,
  author =       "Hyoung M. Kim and Roy R. {Craig, Jr.}",
  title =        "Computational enhancement of an unsymmetric block
                 {Lanczos} algorithm",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "30",
  number =       "5",
  pages =        "1083--1089",
  day =          "5",
  month =        oct,
  year =         "1990",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/nme.1620300509",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "24 Jun 2005",
}

@InProceedings{Lawson:1990:LAP,
  author =       "Charles L. Lawson and Kajal K. Gupta",
  title =        "The {Lanczos} Algorithm for a Pure Imaginary
                 {Hermitian} Matrix",
  crossref =     "Cox:1990:RNC",
  pages =        "25--34",
  year =         "1990",
  bibdate =      "Tue Nov 2 19:30:33 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Leung:1990:LSM,
  author =       "A. Y. T. Leung",
  title =        "A {Lanczos}-Subspace Method for Generalized
                 Eigenproblems",
  journal =      j-COMPUT-AIDED-CIVIL-INFRASTRUCT-ENG,
  volume =       "5",
  number =       "2",
  pages =        "129--138",
  month =        jun,
  year =         "1990",
  CODEN =        "CCIEFR",
  DOI =          "https://doi.org/10.1111/j.1467-8667.1990.tb00048.",
  ISSN =         "1093-9687 (print), 1467-8667 (electronic)",
  ISSN-L =       "1093-9687",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer-Aided Civil and Infrastructure Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-8667",
  onlinedate =   "6 Nov 2008",
}

@Article{Papadrakakis:1990:NIL,
  author =       "M. Papadrakakis and S. Smerou",
  title =        "A new implementation of the {Lanczos} method in linear
                 problems",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "29",
  number =       "1",
  pages =        "141--159",
  month =        jan,
  year =         "1990",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/nme.1620290110",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "24 Jun 2005",
}

@Article{Papadrakakis:1990:TNL,
  author =       "M. Papadrakakis",
  title =        "A truncated {Newton--Lanczos} method for overcoming
                 limit and bifurcation points",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "29",
  number =       "5",
  pages =        "1065--1077",
  month =        apr,
  year =         "1990",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/nme.1620290511",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "24 Jun 2005",
}

@InProceedings{Parlett:1990:LAI,
  author =       "B. N. Parlett and H. C. Chen",
  title =        "The {Lanczos} algorithm with indefinite inner
                 product",
  crossref =     "Kaashoek:1990:PIS",
  volume =       "5",
  pages =        "393--400",
  year =         "1990",
  MRclass =      "65F15 (15A18 70J10 73K12)",
  MRnumber =     "MR1115469 (92g:65043)",
  bibdate =      "Fri Nov 11 06:36:51 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib",
  series =       "Progr. Systems Control Theory",
  ZMnumber =     "0719.65026",
  abstract =     "A quadratic eigenvalue problem with symmetric positive
                 definite coefficient matrices may be reduced to linear
                 form while retaining symmetry in the new coefficients
                 but neither of them will be positive definite. Formally
                 the symmetric Lanczos algorithm and subspace iteration
                 may be used to compute some eigenpairs of the linear
                 problem. The trouble is that the basis vectors are
                 orthogonal with respect to an indefinite inner product
                 so there is no assurance that they will be linearly
                 independent. Nevertheless this is an attractive way to
                 solve the original problem and we discuss how to
                 implement it and how it relates to the unsymmetric
                 Lanczos procedures. We discuss complex origin shifts,
                 the Look-Ahead version, reorthogonalization, and error
                 bounds.",
  acknowledgement = ack-nhfb,
  classmath =    "*65F15 Eigenvalues (numerical linear algebra)",
  keywords =     "complex origin shifts; eigenpairs; error bounds;
                 indefinite inner product; Look-Ahead version; quadratic
                 eigenvalue problem; reorthogonalization; subspace
                 iteration; symmetric Lanczos algorithm",
}

@InProceedings{Parlett:1990:MLA,
  author =       "Beresford N. Parlett",
  title =        "Misconvergence in the {Lanczos} Algorithm",
  crossref =     "Cox:1990:RNC",
  pages =        "7--24",
  year =         "1990",
  MRclass =      "65F15",
  MRnumber =     "MR1098315 (91m:65110)",
  bibdate =      "Tue Nov 2 19:30:33 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib",
  URL =          "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana1990.bib",
  ZMnumber =     "0726.65032",
  abstract =     "Theoretical and computational tools are developed in
                 this paper that help to understand and predict the
                 apparent misconvergence in Lanczos' method for matrices
                 with clustered eigenvalues. A computable ``point of
                 discovery'' is given that aids with discovering
                 eigenvalues hidden by the misconvergence of the Ritz
                 values in Lanczos' algorithm. The solution hinges on
                 ``Ritz intervals'' and their ``effective spread'',
                 rather than the Ritz values themselves.",
  acknowledgement = ack-nhfb,
  classmath =    "*65F15 Eigenvalues (numerical linear algebra) 65F35
                 Matrix norms, etc. (numerical linear algebra) 15A42
                 Inequalities involving eigenvalues and eigenvectors",
  keywords =     "convergence; Lanczos' method; matrices with clustered
                 eigenvalues; misconvergence; point of discovery; Ritz
                 intervals; Ritz values",
  mycrossref =   "Cox:1990:RNC",
  reviewer =     "F. Uhlig (Auburn)",
}

@Book{Rivlin:1990:CPA,
  author =       "Theodore J. Rivlin",
  title =        "{Chebyshev} Polynomials: From Approximation Theory to
                 Algebra and Number Theory",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  edition =      "Second",
  pages =        "xiii + 249",
  year =         "1990",
  ISBN =         "0-471-62896-4",
  ISBN-13 =      "978-0-471-62896-5",
  LCCN =         "QA404.5 .R58 1990",
  bibdate =      "Fri Apr 17 10:09:27 MDT 2009",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Pure and applied mathematics",
  acknowledgement = ack-nhfb,
  remark =       "A Wiley-Interscience publication.",
  subject =      "Chebyshev polynomials",
  xxURL =        "http://www.loc.gov/catdir/description/wiley031/89022721.html;
                 http://www.loc.gov/catdir/toc/onix01/89022721.html",
}

@InProceedings{Boley:1991:MNL,
  author =       "D. Boley and G. H. Golub",
  title =        "A modified non-symmetric {Lanczos} algorithm and
                 applications",
  crossref =     "Vaccaro:1991:SSP",
  pages =        "189--196",
  month =        "????",
  year =         "1991",
  bibdate =      "Mon Sep 9 11:37:15 MDT 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  abstract =     "Gives a brief description of a non-symmetric Lanczos
                 algorithm that does not require strict bi-orthogonality
                 among the generated vectors. Several applications are
                 mentioned. For example, it is shown how the vectors
                 generated are algebraically related to `controllable
                 space' and `observable space' for a related linear
                 dynamical system. The algorithm described is
                 particularly appropriate for large sparse problems.",
  acknowledgement = ack-nhfb,
  affiliation =  "Dept. of Comput. Sci., Minnesota, Univ., Minneapolis,
                 MN, USA",
  classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
  keywords =     "Controllable space; Large sparse problems; Linear
                 dynamical system; Matrix eigenvalue computation;
                 Modified nonsymmetric Lanczos algorithm; Observable
                 space",
  thesaurus =    "Eigenvalues and eigenfunctions; Matrix algebra",
}

@Article{Boley:1991:NLA,
  author =       "Daniel Boley and Gene Golub",
  title =        "The nonsymmetric {Lanczos} algorithm and
                 controllability",
  journal =      j-SYST-CONTROL-LETT,
  volume =       "16",
  number =       "2",
  pages =        "97--105",
  month =        feb,
  year =         "1991",
  CODEN =        "SCLEDC",
  ISSN =         "0167-6911 (print), 1872-7956 (electronic)",
  ISSN-L =       "0167-6911",
  MRclass =      "93B05 (93B40)",
  MRnumber =     "92e:93004",
  MRreviewer =   "Alexander N. Shoshitaishvili",
  bibdate =      "Fri Dec 20 17:23:54 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  abstract =     "Gives a brief description of a nonsymmetric Lanczos
                 algorithm that does not require strict bi-orthogonality
                 among the generated vectors. The authors show how the
                 vectors generated are algebraically related to
                 reachable space and observable space for a related
                 linear dynamical system. The algorithm described is
                 particularly appropriate for large sparse systems.",
  acknowledgement = ack-nhfb # " and " # ack-sf,
  affiliation =  "Comput. Sci. Dept., Minnesota Univ., Minneapolis, MN,
                 USA",
  classification = "C1110 (Algebra); C1120 (Analysis); C1310 (Analysis
                 and synthesis methods); C1320 (Stability)",
  fjournal =     "Systems and Control Letters",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01676911",
  keywords =     "Controllability; Large sparse systems; Linear
                 dynamical system; Nonsymmetric Lanczos algorithm;
                 Observability; Observable space; Reachable space;
                 Vectors",
  pubcountry =   "Netherlands",
  thesaurus =    "Algebra; Controllability; Linear systems;
                 Observability; Vectors",
}

@Article{Boley:1991:NLF,
  author =       "Daniel L. Boley and Sylvan Elhay and Gene H. Golub and
                 Martin H. Gutknecht",
  title =        "Nonsymmetric {Lanczos} and finding orthogonal
                 polynomials associated with indefinite weights",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "1",
  number =       "1",
  pages =        "21--43",
  month =        "????",
  year =         "1991",
  CODEN =        "NUALEG",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "65F15 (65F30 65F50 65G05)",
  MRnumber =     "93f:65033",
  MRreviewer =   "Alexander S. Babanin",
  bibdate =      "Fri Nov 6 18:06:29 MST 1998",
  bibsource =    "http://www.math.psu.edu/dna/contents/na.html;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  abstract =     "The nonsymmetric Lanczos algorithm reduces a general
                 matrix to tridiagonal by generating two sequences of
                 vectors which satisfy a mutual bi-orthogonality
                 property. The process can proceed as long as the two
                 vectors generated at each stage are not mutually
                 orthogonal, otherwise the process breaks down. The
                 authors propose a variant that does not break down by
                 grouping the vectors into clusters and enforcing the
                 bi-orthogonality property only between different
                 clusters, but relaxing the property within clusters.
                 They show how this variant of the matrix Lanczos
                 algorithm applies directly to a problem of computing a
                 set of orthogonal polynomials and associated indefinite
                 weights with respect to an indefinite inner product,
                 given the associated moments. The authors discuss the
                 close relationship between the modified Lanczos
                 algorithm and the modified Chebyshev algorithm. They
                 further show the connection between this last problem
                 and checksum-based error correction schemes for
                 fault-tolerant computing.",
  acknowledgement = ack-nhfb # " and " # ack-sf,
  affiliation =  "Dept. of Comput. Sci., Minnesota Univ., Minneapolis,
                 MN, USA",
  classification = "B0290H (Linear algebra); B6120B (Codes); C4140
                 (Linear algebra)",
  corpsource =   "Dept. of Comput. Sci., Minnesota Univ., Minneapolis,
                 MN, USA",
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
  keywords =     "checksum-based error correction; error correction
                 codes; fault-tolerant computing; indefinite inner
                 product; indefinite weights; matrix algebra; matrix
                 Lanczos algorithm; modified Chebyshev algorithm;
                 modified Lanczos algorithm; mutual bi-orthogonality
                 property; nonsymmetric Lanczos algorithm; orthogonal
                 polynomials; polynomials; tridiagonal matrix",
  pubcountry =   "Switzerland",
  thesaurus =    "Error correction codes; Matrix algebra; Polynomials",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Brezinski:1991:ABN,
  author =       "C. Brezinski and M. {Redivo Zaglia} and H. Sadok",
  title =        "Avoiding breakdown and near-breakdown in {Lanczos}
                 type algorithms",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "1",
  number =       "3",
  pages =        "261--284",
  month =        sep,
  year =         "1991",
  CODEN =        "NUALEG",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "65F10 (65F25)",
  MRnumber =     "92j:65041",
  bibdate =      "Fri Nov 6 18:06:29 MST 1998",
  bibsource =    "http://www.math.psu.edu/dna/contents/na.html;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "See erratum \cite{Brezinski:1992:AAB}.",
  acknowledgement = ack-nhfb,
  classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
  corpsource =   "Lab. d'Anal. Numer. et d'Optimisation, Univ. des Sci.
                 et Tech. de Lille Flandres-Artois, Villeneuve d'Ascq,
                 France",
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
  keywords =     "conjugate gradient methods; iterative methods; Lanczos
                 type algorithms; matrix algebra; method of moments;
                 method of recursive zoom; near-breakdown; orthogonal
                 polynomials; rounding errors; systems of linear
                 equations; zero scalar product",
  pubcountry =   "Switzerland",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{Chan:1991:TFS,
  author =       "T. F. Chan and L. {De Pillis} and H. A. van der
                 Vorst",
  title =        "A transpose-free squared {Lanczos} algorithm and
                 application to solving nonsymmetric linear systems",
  number =       "Preprint 690",
  institution =  "Utrecht University",
  address =      "Utrecht, The Netherlands",
  year =         "1991",
  bibdate =      "Fri Jun 10 12:38:34 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  acknowledgement = ack-nhfb,
}

@Article{Ferng:1991:ALM,
  author =       "William R. Ferng and Gene H. Golub and Robert J.
                 Plemmons",
  title =        "Adaptive {Lanczos} methods for recursive condition
                 estimation",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "1",
  number =       "1",
  pages =        "1--20",
  month =        "????",
  year =         "1991",
  CODEN =        "NUALEG",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "65F10 (65F20 65F35 93E10 94A12)",
  MRnumber =     "92h:65053",
  MRreviewer =   "De Hui Chen",
  bibdate =      "Fri Nov 6 18:06:29 MST 1998",
  bibsource =    "http://www.math.psu.edu/dna/contents/na.html;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  abstract =     "Estimates for the condition number of a matrix are
                 useful in many areas of scientific computing,
                 including: recursive least squares computations,
                 optimization, eigenanalysis, and general nonlinear
                 problems solved by linearization techniques where
                 matrix modification techniques are used. The purpose of
                 this paper is to propose an adaptive Lanczos estimator
                 scheme, which the authors call ale, for tracking the
                 condition number of the modified matrix over time.
                 Applications to recursive least squares (RLS)
                 computations using the covariance method with sliding
                 data windows are considered. ale is fast for relatively
                 small n-parameter problems arising in RLS methods in
                 control and signal processing, and is adaptive over
                 time, i.e., estimates at time t are used to produce
                 estimates at time t+1. Comparisons are made with other
                 adaptive and non-adaptive condition estimators for
                 recursive least squares problems. Numerical experiments
                 are reported indicating that ale yields a very accurate
                 recursive condition estimator.",
  acknowledgement = ack-nhfb # " and " # ack-sf,
  affiliation =  "Dept. of Math., North Carolina State Univ., Raleigh,
                 NC, USA",
  classification = "B0290F (Interpolation and function approximation);
                 B0290H (Linear algebra); B6140 (Signal processing and
                 detection); C1260 (Information theory); C4130
                 (Interpolation and function approximation); C4140
                 (Linear algebra)",
  corpsource =   "Dept. of Math., North Carolina State Univ., Raleigh,
                 NC, USA",
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
  keywords =     "Adaptive Lanczos estimator; adaptive Lanczos
                 estimator; Adaptive Lanczos methods; adaptive Lanczos
                 methods; Covariance method; covariance method; least
                 squares approximations; matrix algebra; Matrix
                 condition number; matrix condition number; Matrix
                 modification; matrix modification; numerical methods;
                 Recursive condition estimation; recursive condition
                 estimation; Recursive least squares computations;
                 recursive least squares computations; signal
                 processing; Sliding data windows; sliding data
                 windows",
  pubcountry =   "Switzerland",
  thesaurus =    "Least squares approximations; Matrix algebra;
                 Numerical methods; Signal processing",
  treatment =    "T Theoretical or Mathematical",
  xxpages =      "1--19",
}

@Article{Khelifi:1991:LMA,
  author =       "Mohamed Khelifi",
  title =        "{Lanczos} maximal algorithm for unsymmetric eigenvalue
                 problems",
  journal =      j-APPL-NUM-MATH,
  volume =       "7",
  number =       "2",
  pages =        "179--193",
  month =        feb,
  year =         "1991",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  ISSN-L =       "0168-9274",
  MRclass =      "65F15",
  MRnumber =     "92e:65048",
  MRreviewer =   "V. L. Makarov",
  bibdate =      "Sat Feb 8 10:09:54 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Numerical Mathematics: Transactions of IMACS",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01689274",
}

@Article{Kim:1991:CLL,
  author =       "S. K. Kim and A. T. Chronopoulos",
  title =        "A class of {Lanczos-like} algorithms implemented on
                 parallel computers",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "17",
  number =       "6--7",
  pages =        "763--778",
  month =        sep,
  year =         "1991",
  CODEN =        "PACOEJ",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  MRclass =      "65F15 (65F50 65Y05)",
  MRnumber =     "92f:65045",
  bibdate =      "Mon Apr 14 12:07:40 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  classification = "C4140 (Linear algebra); C4240P (Parallel programming
                 and algorithm theory)",
  corpsource =   "Dept. of Comput. Sci., Minnesota Univ., Minneapolis,
                 MN, USA",
  fjournal =     "Parallel Computing",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191",
  keywords =     "64-node NCUBE/seven hypercube; algorithms; conjugate
                 gradient; CRAY-2; eigenvalues; eigenvalues and
                 eigenfunctions; eigenvectors; extreme; global
                 communications; Lanczos-like algorithms; matrix
                 algebra; message; method; parallel; parallel computers;
                 parallel properties; passing systems; shared memory
                 systems; symmetric large sparse matrices;
                 synchronisation; synchronization point",
  treatment =    "P Practical",
}

@Article{Rajakumar:1991:LAA,
  author =       "C. Rajakumar and C. R. Rogers",
  title =        "The {Lanczos} algorithm applied to unsymmetric
                 generalized eigenvalue problem",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "32",
  number =       "5",
  pages =        "1009--1026",
  day =          "5",
  month =        oct,
  year =         "1991",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/nme.1620320506",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "27 Jun 2005",
}

@TechReport{Stewart:1991:LLS,
  author =       "G. W. Stewart",
  title =        "{Lanczos} and linear systems",
  type =         "Technical Report",
  number =       "CS-TR 2641",
  institution =  "Department of Computer Science, University of
                 Maryland",
  address =      "College Park, MD, USA",
  pages =        "????",
  year =         "1991",
  bibdate =      "Fri Jun 10 12:38:34 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  mynote =       "March",
}

@Article{Ye:1991:CAN,
  author =       "Qiang Ye",
  title =        "A convergence analysis for nonsymmetric {Lanczos}
                 algorithms",
  journal =      j-MATH-COMPUT,
  volume =       "56",
  number =       "194",
  pages =        "677--691",
  month =        apr,
  year =         "1991",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65F15",
  MRnumber =     "91m:65115",
  MRreviewer =   "Zden{\v{e}}k Strako{\v{s}}",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290H (Linear algebra); C4140 (Linear algebra)",
  corpsource =   "Dept. of Math. and Stat., Calgary Univ., Alta.,
                 Canada",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "algorithms; approximation bounds; convergence
                 analysis; convergence of numerical methods;
                 eigenfunctions; eigenvalues; eigenvalues and; matrix
                 algebra; nonsymmetric Lanczos; Ritz; Ritz values;
                 tridiagonal structure; vectors",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{Arioli:1992:BLT,
  author =       "M. Arioli and Iain S. Duff and D. Ruiz and M.
                 Sadkane",
  title =        "Block {Lanczos} techniques for accelerating the {Block
                 Cimmino} method",
  number =       "TR/PA/92/70",
  institution =  inst-CERFACS,
  address =      inst-CERFACS:adr,
  year =         "1992",
  bibdate =      "Sat Apr 16 15:27:17 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Published in \cite{Arioli:1995:BLT}.",
  acknowledgement = ack-nhfb,
  xxnote =       "Check: same report, different titles for
                 \cite{Amestoy:1992:LACb,Arioli:1992:BLT}??",
}

@Article{Boley:1992:AFT,
  author =       "Daniel L. Boley and Richard P. Brent and Gene H. Golub
                 and Franklin T. Luk",
  title =        "Algorithmic Fault Tolerance Using the {Lanczos}
                 Method",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "13",
  number =       "1",
  pages =        "312--332",
  month =        jan,
  year =         "1992",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F15 (94B05)",
  MRnumber =     "93f:65034",
  MRreviewer =   "Herbert J. Bernstein",
  bibdate =      "Tue Jan 21 08:54:30 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb # " and " # ack-sf,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Boley:1992:LAH,
  author =       "Daniel L. Boley and Tong J. Lee and Franklin T. Luk",
  title =        "The {Lanczos} Algorithm and {Hankel} Matrix
                 Factorization",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "172",
  pages =        "109--135",
  day =          "15",
  month =        jul,
  year =         "1992",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Wed Jan 22 09:07:50 MST 1997",
  bibsource =    "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
  keywords =     "nla, Hankel matrix, Lanczos algorithm, lud",
}

@Article{Brezinski:1992:AAB,
  author =       "C. Brezinski and M. {Redivo Zaglia} and H. Sadok",
  title =        "Addendum to: {``Avoiding breakdown and near-breakdown
                 in Lanczos type algorithms'' [Numer. Algorithms {\bf 1}
                 (1991), no. 3, 261--284, MR 92j:65041]}",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "2",
  number =       "2",
  pages =        "133--136",
  month =        "????",
  year =         "1992",
  CODEN =        "NUALEG",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "65F10 (65F25)",
  MRnumber =     "1 165 901",
  bibdate =      "Fri Nov 6 18:06:29 MST 1998",
  bibsource =    "http://www.math.psu.edu/dna/contents/na.html;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "See \cite{Brezinski:1991:ABN}.",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Brezinski:1992:BFL,
  author =       "C. Brezinski and M. {Redivo Zaglia} and H. Sadok",
  title =        "A breakdown-free {Lanczos} type algorithm for solving
                 linear systems",
  journal =      j-NUM-MATH,
  volume =       "63",
  number =       "1",
  pages =        "29--38",
  month =        oct,
  year =         "1992",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65F10 (65F25)",
  MRnumber =     "93f:65028",
  bibdate =      "Thu Jan 23 07:49:52 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
}

@Article{Dallwig:1992:CCS,
  author =       "Stefan Dallwig and Norman Fahrer and Christoph
                 Schlier",
  title =        "The combination of complex scaling and the {Lanczos}
                 algorithm",
  journal =      j-CHEM-PHYS-LETT,
  volume =       "191",
  number =       "1--2",
  pages =        "69--76",
  day =          "27",
  month =        mar,
  year =         "1992",
  CODEN =        "CHPLBC",
  DOI =          "https://doi.org/10.1016/0009-2614(92)85370-P",
  ISSN =         "0009-2614 (print), 1873-4448 (electronic)",
  ISSN-L =       "0009-2614",
  bibdate =      "Fri Jun 10 17:09:40 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  abstract =     "We present a symbiosis of three very powerful
                 mathematical tools: the discrete variable
                 representation (DVR), complex scaling, and the Lanczos
                 algorithm, by which we demonstrate that the widespread
                 negative view on combining the Lanczos algorithm with
                 the complex coordinate method for large systems may be
                 too pessimistic. We apply a complex version of the DVR
                 method suitable for homogeneous operators in the DVR,
                 such as $ \hat {x} $ and make use of a M{\"o}bius
                 transform inducing a spectral shift, which enhances
                 significantly the efficiency of the complex symmetric
                 matrix adapted Lanczos algorithm. This is done without
                 any loss of the advantages provided by each method on
                 its own. A numerical application to a collinear A--B--A
                 molecule is given.",
  acknowledgement = ack-nhfb,
  fjournal =     "Chemical Physics Letters",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00092614",
}

@TechReport{Eijkhout:1992:QPC,
  author =       "Victor Eijkhout",
  title =        "Qualitative Properties of the Conjugate Gradient and
                 {Lanczos} Methods in a Matrix Framework",
  type =         "LAPACK Working Note",
  number =       "51",
  institution =  inst-UTK-CS,
  address =      inst-UTK-CS:adr,
  month =        may,
  year =         "1992",
  bibdate =      "Fri Apr 22 17:06:37 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "UT-CS-92-170, May 1992.",
  URL =          "http://www.netlib.org/lapack/lawns/lawn51.ps;
                 http://www.netlib.org/lapack/lawnspdf/lawn51.pdf",
  acknowledgement = ack-nhfb,
}

@Article{Greenbaum:1992:PBF,
  author =       "Anne Greenbaum and Zden{\u{e}}k Strako{\u{s}}",
  title =        "Predicting the Behavior of Finite Precision {Lanczos}
                 and Conjugate Gradient Computations",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "13",
  number =       "1",
  pages =        "121--137",
  month =        jan,
  year =         "1992",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F10 (65F15)",
  MRnumber =     "92j:65043",
  bibdate =      "Tue Jan 21 08:54:30 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 Parallel/par.lin.alg.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
  mynote =       "Courant Tech. Report No. 538, Jan 1991",
}

@Article{Gupta:1992:DFD,
  author =       "K. K. Gupta and C. L. Lawson and A. R. Ahmadi",
  title =        "On development of a finite dynamic element and
                 solution of associated eigenproblem by a block
                 {Lanczos} procedure",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "33",
  number =       "8",
  pages =        "1611--1623",
  day =          "30",
  month =        jun,
  year =         "1992",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/nme.1620330805",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "27 Jun 2005",
}

@Article{Gutknecht:1992:CTU,
  author =       "Martin H. Gutknecht",
  title =        "A Completed Theory of the Unsymmetric {Lanczos}
                 Process and Related Algorithms, {Part I}",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "13",
  number =       "2",
  pages =        "594--639",
  month =        apr,
  year =         "1992",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F10 (30E05 41A21 65F15)",
  MRnumber =     "93e:65053",
  MRreviewer =   "E. L. Yip",
  bibdate =      "Tue Jan 21 08:54:30 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Joubert:1992:LMS,
  author =       "Wayne Joubert",
  title =        "{Lanczos} Methods for the Solution of Nonsymmetric
                 Systems of Linear Equations",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "13",
  number =       "3",
  pages =        "926--943",
  month =        jul,
  year =         "1992",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F10 (65F15)",
  MRnumber =     "93e:65054",
  MRreviewer =   "Heike Fa{\ss}bender",
  bibdate =      "Tue Jan 21 08:54:30 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Iterative methods in numerical linear algebra (Copper
                 Mountain, CO, 1990).",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Kuczynski:1992:ELE,
  author =       "J. Kuczy{\'n}ski and H. Wo{\'z}niakowski",
  title =        "Estimating the Largest Eigenvalue by the Power and
                 {Lanczos} Algorithms with a Random Start",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "13",
  number =       "4",
  pages =        "1094--1122",
  month =        oct,
  year =         "1992",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F15",
  MRnumber =     "93g:65052",
  MRreviewer =   "Heike Fa{\ss}bender",
  bibdate =      "Tue Jan 21 08:54:30 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Medeiros:1992:NSA,
  author =       "Djalma Medeiros and G. G. Cabrera",
  title =        "Numerical study of antiferromagnetic {Heisenberg}
                 chains for spin {$ S = 1 / 2 $}, using the {Lanczos}
                 method",
  journal =      j-MAGN-MAGN-MATER,
  volume =       "104--107",
  number =       "part 2",
  pages =        "799--800",
  day =          "2",
  month =        feb,
  year =         "1992",
  CODEN =        "JMMMDC",
  DOI =          "https://doi.org/10.1016/0304-8853(92)90365-U",
  ISSN =         "0304-8853 (print), 1873-4766 (electronic)",
  ISSN-L =       "0304-8853",
  bibdate =      "Fri Jun 10 16:55:53 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Proceedings of the International Conference on
                 Magnetism, Part II.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Magnetism and Magnetic Materials",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03048853",
}

@Article{Parlett:1992:RMS,
  author =       "Beresford N. Parlett",
  title =        "The rewards for maintaining semi-orthogonality among
                 {Lanczos} vectors",
  journal =      j-J-NUM-LIN-ALG-APPL,
  volume =       "1",
  number =       "2",
  pages =        "243--267",
  year =         "1992",
  CODEN =        "NLAAEM",
  ISSN =         "0129-3281",
  MRclass =      "65F15",
  MRnumber =     "MR1182241 (93g:65054)",
  bibdate =      "Thu Jan 23 19:03:25 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib",
  URL =          "https://www.math.utah.edu/pub/tex/bib/numlinaa.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Numerical Linear Algebra with
                 Applications",
}

@Book{Saad:1992:NML,
  author =       "Youcef Saad",
  title =        "Numerical methods for large eigenvalue problems",
  publisher =    pub-HALSTED,
  address =      pub-HALSTED:adr,
  pages =        "xii + 346",
  year =         "1992",
  ISBN =         "0-7190-3386-1 (UK), 0-470-21820-7 (US)",
  ISBN-13 =      "978-0-7190-3386-5 (UK), 978-0-470-21820-4 (US)",
  LCCN =         "QA188 .S18 1992",
  MRclass =      "65F15 (65-02 65F50)",
  MRnumber =     "1177405 (93h:65052)",
  MRreviewer =   "Cs. J. Heged{\H{u}}s",
  bibdate =      "Sun Sep 5 09:21:22 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib;
                 MathSciNet database",
  series =       "Algorithms and Architectures for Advanced Scientific
                 Computing",
  acknowledgement = ack-nhfb,
  keywords =     "eigenvalues; nonsymmetric matrices",
  xxaddress =    pub-MANCHESTER-UNIV-PRESS:adr,
  xxpublisher =  pub-MANCHESTER-UNIV-PRESS,
}

@TechReport{Tong:1992:CSP,
  author =       "Charles H. Tong",
  title =        "A Comparative Study of Preconditioned {Lanczos}
                 Methods for Nonsymmetric Linear Systems",
  type =         "Report",
  number =       "SAND91-8240",
  institution =  "Sandia National Laboratories",
  address =      "Albuquerque, NM, USA",
  pages =        "????",
  month =        jan,
  year =         "1992",
  bibdate =      "Fri Jun 10 12:38:34 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Balasubramanian:1993:ABL,
  author =       "P. Balasubramanian and J. G. Jagadeesh and H. K. Suhas
                 and V. Ramamurti",
  title =        "Application of block {Lanczos} method for analysis of
                 cyclic symmetric structures",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "36",
  number =       "2",
  pages =        "273--285",
  day =          "30",
  month =        jan,
  year =         "1993",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/nme.1620360207",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "28 Jun 2005",
}

@Article{Brezinski:1993:LTA,
  author =       "Claude Brezinski and Hassane Sadok",
  title =        "{Lanczos}-type algorithms for solving systems of
                 linear equations",
  journal =      j-APPL-NUM-MATH,
  volume =       "11",
  number =       "6",
  pages =        "443--473",
  month =        apr,
  year =         "1993",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  ISSN-L =       "0168-9274",
  MRclass =      "65F15",
  MRnumber =     "94d:65026",
  MRreviewer =   "Zden{\v{e}}k Strako{\v{s}}",
  bibdate =      "Sat Feb 8 10:09:54 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Numerical Mathematics: Transactions of IMACS",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01689274",
}

@Article{Coppersmith:1993:SLE,
  author =       "Don Coppersmith",
  title =        "Solving linear equations over {$ {\rm GF}(2) $}: block
                 {Lanczos} algorithm",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "192",
  pages =        "33--60",
  month =        oct,
  year =         "1993",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F10 (11Y16 94A60)",
  MRnumber =     "94i:65044",
  MRreviewer =   "James Weldon Demmel",
  bibdate =      "Wed Jan 22 17:57:24 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Computational linear algebra in algebraic and related
                 problems (Essen, 1992).",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Davidson:1993:MMT,
  author =       "Ernest R. Davidson",
  title =        "Monster Matrices: Their Eigenvalues and Eigenvectors",
  journal =      j-COMPUT-PHYS,
  volume =       "7",
  number =       "5",
  pages =        "519--522",
  month =        sep,
  year =         "1993",
  CODEN =        "CPHYE2",
  DOI =          "https://doi.org/10.1063/1.4823212",
  ISSN =         "0894-1866 (print), 1558-4208 (electronic)",
  ISSN-L =       "0894-1866",
  bibdate =      "Wed Apr 10 08:45:43 MDT 2019",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/computphys.bib",
  note =         "See \cite{Lin:1993:EDM}.",
  URL =          "https://aip.scitation.org/doi/10.1063/1.4823212",
  acknowledgement = ack-nhfb,
  ajournal =     "Comput. Phys",
  fjournal =     "Computers in Physics",
  journal-URL =  "https://aip.scitation.org/journal/cip",
  keywords =     "Davidson--Liu algorithm; Lanczos algorithm;
                 matrix--vector products; sparse matrices",
}

@Article{Freund:1993:ILAb,
  author =       "Roland W. Freund and Martin H. Gutknecht and No{\"e}l
                 M. Nachtigal",
  title =        "An implementation of the look-ahead {Lanczos}
                 algorithm for non-{Hermitian} matrices",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "14",
  number =       "1",
  pages =        "137--158",
  month =        jan,
  year =         "1993",
  CODEN =        "SJOCE3",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65F15",
  MRnumber =     "93h:65048",
  bibdate =      "Tue Apr 29 18:15:07 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@InCollection{Freund:1993:RALa,
  author =       "Roland W. Freund and Gene H. Golub and No{\"e}l M.
                 Nachtigal",
  title =        "Recent advances in {Lanczos}-based iterative methods
                 for nonsymmetric linear systems",
  crossref =     "Hussaini:1993:ATC",
  pages =        "137--162",
  year =         "1993",
  MRclass =      "65F10",
  MRnumber =     "95f:65066",
  MRreviewer =   "L. W. Ehrlich",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-sf,
}

@TechReport{Gellai:1993:CLB,
  author =       "Barbara Gellai",
  title =        "{Cornelius Lanczos}, a biographical essay",
  type =         "Report",
  institution =  "Department of Physics, North Carolina State
                 University",
  address =      "Raleigh, NC, USA",
  year =         "1993",
  bibdate =      "Thu Jun 09 17:59:19 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Higham:1993:CCL,
  author =       "Nicholas J. Higham",
  editor =       "M. Chu and others",
  booktitle =    "The {Lanczos} Collected Papers with Commentaries",
  title =        "{Commentary on C. Lanczos, ``Introduction'' to
                 ``Tables of Chebyshev Polynomials $ S_n(x) $ and $
                 C_n(x) $'', Nat.\ Bur.\ Stand., Appl.\ Math.\ Series 9,
                 1952, v--xxvi}",
  publisher =    "????",
  address =      "????",
  year =         "1993",
  bibdate =      "Wed Nov 1 08:00:18 2000",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "To appear.",
  acknowledgement = ack-njh,
}

@InProceedings{Jea:1993:LMS,
  author =       "Kang C. Jea and David M. Young",
  title =        "{Lanczos}-type methods for solving nonsymmetric linear
                 systems",
  crossref =     "Natori:1993:PPS",
  pages =        "14--24",
  year =         "1993",
  MRclass =      "65F10",
  MRnumber =     "95f:65070",
  bibdate =      "Wed Jan 17 10:13:02 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  acknowledgement = ack-nhfb,
}

@Article{Jones:1993:LAG,
  author =       "Mark T. Jones and Merrell L. Patrick",
  title =        "{Lanczos} algorithm for the generalized symmetric
                 eigenproblem on shared-memory architectures",
  journal =      j-APPL-NUM-MATH,
  volume =       "12",
  number =       "5",
  pages =        "377--389",
  month =        jul,
  year =         "1993",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  ISSN-L =       "0168-9274",
  bibdate =      "Sat Feb 8 10:10:32 MST 1997",
  bibsource =    "Compendex database;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Argonne Natl Lab",
  affiliationaddress = "Argonne, IL, USA",
  classification = "723.1; 921; 931.1",
  fjournal =     "Applied Numerical Mathematics: Transactions of IMACS",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01689274",
  journalabr =   "Appl Numer Math",
  keywords =     "Algorithms; Buckling; Computer architecture;
                 Eigenvalues and eigenfunctions; Generalized symmetric
                 eigenproblem; Lanczos algorithm; Mathematical models;
                 Multiprocessing programs; Shared memory architectures;
                 Structural design; Vibrations (mechanical)",
}

@Article{Koslowski:1993:LCL,
  author =       "T. Koslowski and W. {Von Niessen}",
  title =        "Linear combination of {Lanczos} vectors: a
                 storage-efficient algorithm for sparse matrix
                 eigenvector computations",
  journal =      j-J-COMPUT-CHEM,
  volume =       "14",
  number =       "7",
  pages =        "769--774",
  month =        jul,
  year =         "1993",
  CODEN =        "JCCHDD",
  DOI =          "https://doi.org/10.1002/jcc.540140703",
  ISSN =         "0192-8651 (print), 1096-987X (electronic)",
  ISSN-L =       "0192-8651",
  bibdate =      "Thu Nov 29 14:54:22 MST 2012",
  bibsource =    "http://www.interscience.wiley.com/jpages/0192-8651;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputchem1990.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Chemistry",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-987X",
  onlinedate =   "7 Sep 2004",
}

@Article{Lancaster:1993:RRL,
  author =       "Peter Lancaster and Qiang Ye",
  title =        "{Rayleigh--Ritz} and {Lanczos} Methods for Symmetric
                 Matrix Pencils",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "185",
  pages =        "173--201",
  month =        may,
  year =         "1993",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F15 (15A22)",
  MRnumber =     "94i:65050",
  bibdate =      "Wed Jan 22 17:57:24 MST 1997",
  bibsource =    "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
  keywords =     "nla, geig, symmetric, Rayleigh--Ritz method, Lanczos
                 algorithm",
}

@Article{Lin:1993:EDM,
  author =       "H. Q. Lin and J. E. Gubernatis and Harvey Gould and
                 Jan Tobochnik",
  title =        "Exact Diagonalization Methods for Quantum Systems",
  journal =      j-COMPUT-PHYS,
  volume =       "7",
  number =       "4",
  pages =        "400--??",
  month =        jul,
  year =         "1993",
  CODEN =        "CPHYE2",
  DOI =          "https://doi.org/10.1063/1.4823192",
  ISSN =         "0894-1866 (print), 1558-4208 (electronic)",
  ISSN-L =       "0894-1866",
  bibdate =      "Wed Apr 10 08:45:42 MDT 2019",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/computphys.bib",
  note =         "See \cite{Davidson:1993:MMT}.",
  URL =          "https://aip.scitation.org/doi/10.1063/1.4823192",
  acknowledgement = ack-nhfb,
  ajournal =     "Comput. Phys",
  fjournal =     "Computers in Physics",
  journal-URL =  "https://aip.scitation.org/journal/cip",
  keywords =     "Lanczos algorithm; matrix--vector products; sparse
                 matrices",
}

@Article{Mai:1993:MLM,
  author =       "Tsun-Zee Mai",
  title =        "Modified {Lanczos} method for solving large sparse
                 linear systems",
  journal =      j-COMM-NUMER-METHODS-ENGRG,
  volume =       "9",
  number =       "1",
  pages =        "67--79",
  month =        jan,
  year =         "1993",
  DOI =          "https://doi.org/10.1002/cnm.1640090111",
  ISSN =         "1069-8299 (print), 1099-0887 (electronic)",
  ISSN-L =       "1069-8299",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Communications in Numerical Methods in Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-0887",
  onlinedate =   "21 Jun 2005",
}

@Article{Morgan:1993:PLA,
  author =       "Ronald B. Morgan and David S. Scott",
  title =        "Preconditioning the {Lanczos} algorithm for sparse
                 symmetric eigenvalue problems",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "14",
  number =       "3",
  pages =        "585--593",
  month =        may,
  year =         "1993",
  CODEN =        "SJOCE3",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65F15",
  MRnumber =     "93k:65032",
  bibdate =      "Tue Apr 29 18:15:07 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{Namasivayam:1993:EAT,
  author =       "S. Namasivayam and E. L. Ortiz",
  title =        "Error analysis of the {Tau Method}: dependence of the
                 approximation error on the choice of perturbation
                 term",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "25",
  number =       "1",
  pages =        "89--104",
  month =        jan,
  year =         "1993",
  CODEN =        "CMAPDK",
  DOI =          "https://doi.org/10.1016/0898-1221(93)90215-H",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Wed Mar 1 19:11:10 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/089812219390215H",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
}

@Article{Rajakumar:1993:ABE,
  author =       "C. Rajakumar and Ashraf Ali",
  title =        "Acoustic boundary element eigenproblem with sound
                 absorption and its solution using {Lanczos} algorithm",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "36",
  number =       "23",
  pages =        "3957--3972",
  day =          "15",
  month =        dec,
  year =         "1993",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/nme.1620362303",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "29 Jun 2005",
}

@Article{Smith:1993:LBT,
  author =       "H. A. Smith and D. C. Sorensen and R. K. Singh",
  title =        "A {Lanczos}-based technique for exact vibration
                 analysis of skeletal structures",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "36",
  number =       "12",
  pages =        "1987--2000",
  day =          "30",
  month =        jun,
  year =         "1993",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/nme.1620361203",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "29 Jun 2005",
}

@Article{Stewart:1993:EHS,
  author =       "G. W. Stewart",
  title =        "On the Early History of the Singular Value
                 Decomposition",
  journal =      j-SIAM-REVIEW,
  volume =       "35",
  number =       "4",
  pages =        "551--566",
  month =        dec,
  year =         "1993",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1035134",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "15-03 (01A55 01A60 15A18)",
  MRnumber =     "94f:15001",
  bibdate =      "Sat Mar 29 09:55:16 MDT 2014",
  bibsource =    "Compendex database;
                 http://epubs.siam.org/toc/siread/35/4;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  abstract =     "This paper surveys the contributions of five
                 mathematicians --- Eugenio Beltrami (1835-1899),
                 Camille Jordan (1838-1921), James Joseph Sylvester
                 (1814-1897), Erhard Schmidt (1876-1959), and Hermann
                 Weyl (1885-1955) --- who were responsible for
                 establishing the existence of the singular value
                 decomposition and developing its theory.",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ of Maryland",
  affiliationaddress = "College Park, MD, USA",
  classification = "921.1; 921.6",
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  journalabr =   "SIAM Rev",
  keywords =     "Algorithms; Computational platforms; Determinants;
                 Geometry; History; Integral equations; Linear algebra;
                 Matrix algebra; Matrix decomposition; Quadratic form;
                 Singular value decomposition",
  remark =       "See page 556 for Lanczos's contributions to the SVD.",
  onlinedate =   "December 1993",
}

@Article{Weedon:1993:SHW,
  author =       "William H. Weedon and Weng Cho Chew and Jiun-Hwa Lin
                 and Apo Sezginer and Vladimir L. Druskin",
  title =        "A {$ 2.5 $D} scalar {Helmholtz} wave solution
                 employing the {Spectral Lanczos Decomposition Method
                 (SLDM)}",
  journal =      j-MICROW-OPT-TECHNOL-LETT,
  volume =       "6",
  number =       "10",
  pages =        "587--592",
  month =        aug,
  year =         "1993",
  CODEN =        "MOTLEO",
  DOI =          "https://doi.org/10.1002/mop.4650061008",
  ISSN =         "0895-2477 (print), 1098-2760 (electronic)",
  ISSN-L =       "0895-2477",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Microwave and Optical Technology Letters",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1098-2760",
  onlinedate =   "22 Jan 2007",
}

@Article{Abdel-Aziz:1994:SUI,
  author =       "Mohammedi R. Abdel-Aziz",
  title =        "Safeguarded use of the implicit restarted {Lanczos}
                 technique for solving non-linear structural
                 eigensystems",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "37",
  number =       "18",
  pages =        "3117--3133",
  day =          "30",
  month =        sep,
  year =         "1994",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/nme.1620371807",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "29 Jun 2005",
}

@InProceedings{Aliaga:1994:UBC,
  author =       "Jose I. Aliaga and Vicente Hernandez and Daniel L.
                 Boley",
  title =        "Using the Block Clustered Nonsymmetric {Lanczos}
                 Algorithm to Solve Control Problems for {MIMO} Linear
                 Systems",
  crossref =     "Brown:1994:PCL",
  pages =        "387--389",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  keywords =     "MIMO (multiple input, multiple output)",
}

@InProceedings{Anderson:1994:BHE,
  author =       "Paul R. Anderson",
  title =        "Black Hole Evaporation and Thermodynamics",
  crossref =     "Brown:1994:PCL",
  pages =        "543--544",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Anonymous:1994:LWC,
  author =       "Anonymous",
  title =        "The life and works of {Cornelius Lanczos}. {Cornelius
                 Lanczos}: a photographic essay",
  crossref =     "Brown:1994:PCL",
  pages =        "xvii--xx",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Anonymous:1994:PPB,
  author =       "Anonymous",
  title =        "Published papers and books of {Cornelius Lanczos}",
  crossref =     "Brown:1994:PCL",
  pages =        "lx--lxv",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Ashtekar:1994:ISC,
  author =       "Abhay Ashtekar and Donald Marolf and Jos{\'e}
                 Mour{\~a}o",
  title =        "Integration on the Space of Connections Modulo Gauge
                 Transformations",
  crossref =     "Brown:1994:PCL",
  pages =        "143--160",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  note =         "Plenary presentations, theoretical physics and
                 astrophysics.",
  acknowledgement = ack-nhfb,
}

@InProceedings{Atkins:1994:NRA,
  author =       "William K. Atkins and William R. Davis",
  title =        "On a New Relationship among {Lanczos}' {$ H_{\mu
                 \lambda \kappa } $}, {$ Q_{\mu \lambda } $}, $q$
                 {Lagrange} Multipliers Leading to Coupled Spin-0 and
                 Spin-2 Fields Associated with {Riemannian} Geometry",
  crossref =     "Brown:1994:PCL",
  pages =        "506--508",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:23:08 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Bai:1994:EAL,
  author =       "Zhao Jun Bai",
  title =        "Error analysis of the {Lanczos} algorithm for the
                 nonsymmetric eigenvalue problem",
  journal =      j-MATH-COMPUT,
  volume =       "62",
  number =       "205",
  pages =        "209--226",
  month =        jan,
  year =         "1994",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65F15",
  MRnumber =     "94c:65045",
  bibdate =      "Tue Mar 25 15:38:13 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Dept. of Math., Kentucky Univ., Lexington, KY, USA",
  classcodes =   "B0290H (Linear algebra); B0290B (Error analysis in
                 numerical methods); C4140 (Linear algebra); C4110
                 (Error analysis in numerical methods)",
  corpsource =   "Dept. of Math., Kentucky Univ., Lexington, KY, USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "algorithm; arithmetic; convergence; convergence of
                 numerical methods; eigenfunctions; eigenvalues and;
                 error analysis; finite-precision; Lanczos algorithm;
                 Lanczos vectors; nonsymmetric eigenvalue problem;
                 Paige's theory; Ritz triplets; Ritz values; symmetric
                 Lanczos",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Balakrishna:1994:CGF,
  author =       "B. S. Balakrishna and K. T. Mahahthappa",
  title =        "Composite Gauge Field Models and Dynamical Symmetry
                 Breaking",
  crossref =     "Brown:1994:PCL",
  pages =        "618--620",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:38:48 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{BarberoG:1994:SDG,
  author =       "J. Fernando {Barbero G.} and Madhavan Varadarajan",
  title =        "Surprises in $ 2 + 1 $ Dimensional Geometry",
  crossref =     "Brown:1994:PCL",
  pages =        "576--578",
  year =         "1994",
  bibdate =      "Sat Jun 18 12:28:08 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Beem:1994:CCH,
  author =       "John K. Beem and Andrzej Krolak",
  title =        "Censorship and {Cauchy} Horizons",
  crossref =     "Brown:1994:PCL",
  pages =        "515--517",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Beffa:1994:PGA,
  author =       "Gloria Mar{\'\i} Beffa",
  title =        "{Poisson} Geometry of {Adler--Gel'fand--Dikii}
                 Manifolds",
  crossref =     "Brown:1994:PCL",
  pages =        "635--637",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:41:37 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Benzi:1994:EPC,
  author =       "Michele Benzi and Carl D. Meyer",
  title =        "An Explicitly Preconditioner for the Conjugate
                 Gradient Method",
  crossref =     "Brown:1994:PCL",
  pages =        "294--296",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Berger:1994:NIC,
  author =       "B. K. Berger and D. Garfinkle and B.
                 Grubi{\v{s}}i{\'c} and V. Moncrief and V. Swamy",
  title =        "Numerical Investigation of Cosmological
                 Singularities",
  crossref =     "Brown:1994:PCL",
  pages =        "532--534",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Berry:1994:BLS,
  author =       "M. W. Berry",
  title =        "A Block {Lanczos} {SVD} Method with Adaptive
                 Reorthogonalization",
  crossref =     "Brown:1994:PCL",
  pages =        "329--331",
  year =         "1994",
  bibdate =      "Fri Jun 10 11:56:53 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Berry:1994:SLB,
  author =       "Michael W. Berry",
  title =        "Software for {Lanczos}-Based Algorithms",
  crossref =     "Brown:1994:PCL",
  pages =        "311--312",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Berry:1994:SPD,
  author =       "Michael W. Berry",
  title =        "A Survey of Public-Domain {Lanczos}-Based Software",
  crossref =     "Brown:1994:PCL",
  pages =        "332--334",
  year =         "1994",
  bibdate =      "Fri Jun 10 11:56:53 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Berryman:1994:RII,
  author =       "James G. Berryman",
  title =        "Resolution of Iterative Inverses in Seismic
                 Tomography",
  crossref =     "Brown:1994:PCL",
  pages =        "297--299",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  URL =          "http://sepwww.stanford.edu/sep/berryman/PS/ltexlanczos.ps",
  acknowledgement = ack-nhfb,
}

@InProceedings{Bjorck:1994:IRB,
  author =       "{\AA}ke Bj{\"o}rck and Eric Grimme and Paul {Van
                 Dooren}",
  title =        "An Implicitly Restarted Bidiagonalization Algorithm
                 for Ill-Posed Systems",
  crossref =     "Brown:1994:PCL",
  pages =        "305--307",
  year =         "1994",
  bibdate =      "Sat Jun 18 12:15:56 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Bjorck:1994:LS,
  author =       "{\AA}ke Bj{\"o}rck",
  title =        "Least Squares",
  crossref =     "Brown:1994:PCL",
  pages =        "301--301",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Blondin:1994:CMA,
  author =       "John Blondin and James Stone",
  title =        "Computational Magnetohydrodynamics in Astrophysics",
  crossref =     "Brown:1994:PCL",
  pages =        "431--451",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Boley:1994:KSM,
  author =       "Daniel L. Boley",
  title =        "{Krylov} Space Methods in Linear Control and Model
                 Reduction: {A} Survey",
  crossref =     "Brown:1994:PCL",
  pages =        "377--379",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Boley:1994:LMC,
  author =       "Daniel Boley",
  title =        "{Lanczos} Methods in Control and Signal Processing",
  crossref =     "Brown:1994:PCL",
  pages =        "375--376",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Brown:1994:BHT,
  author =       "David Brown",
  title =        "Black Hole Thermodynamics in a Box",
  crossref =     "Brown:1994:PCL",
  pages =        "548--550",
  year =         "1994",
  bibdate =      "Sat Jun 18 12:37:25 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Brown:1994:RFS,
  author =       "David Brown",
  title =        "Reference Fluids as Standards of Space and Time",
  crossref =     "Brown:1994:PCL",
  pages =        "563--565",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Bultheel:1994:FOP,
  author =       "Adhemar Bultheel and Marc {Van Barel}",
  title =        "Formal Orthogonal Polynomials for an Arbitrary Moment
                 Matrix and {Lanczos} Type Methods",
  crossref =     "Brown:1994:PCL",
  pages =        "273--275",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Butcher:1994:LPA,
  author =       "John C. Butcher",
  title =        "{Laguerre} Polynomials: Applications in Numerical
                 Ordinary Differential Equations",
  crossref =     "Brown:1994:PCL",
  pages =        "371--373",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Calvetti:1994:CGA,
  author =       "Daniella Calvetti and Lothar Reichel and Qin Zhang",
  title =        "Conjugate gradient algorithms for symmetric
                 inconsistent linear systems",
  crossref =     "Brown:1994:PCL",
  pages =        "267--272",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Calvetti:1994:IRL,
  author =       "D. Calvetti and L. Reichel and D. C. Sorensen",
  title =        "An implicitly restarted {Lanczos} method for large
                 symmetric eigenvalue problems",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "2",
  pages =        "1--21",
  year =         "1994",
  CODEN =        "????",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  bibdate =      "Mon Sep 6 12:28:29 MDT 2010",
  bibsource =    "http://etna.mcs.kent.edu/;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://etna.mcs.kent.edu/vol.2.1994/pp1-21.dir/pp1-21.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Electronic Transactions on Numerical Analysis",
  journal-URL =  "http://etna.mcs.kent.edu/",
}

@InProceedings{Calvetti:1994:MNA,
  author =       "Daniella Calvetti",
  title =        "Moments in Numerical Analysis",
  crossref =     "Brown:1994:PCL",
  pages =        "265--266",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Carey:1994:LBM,
  author =       "Cheryl M. M. Carey and Gene H. Golub and Kincho H.
                 Law",
  title =        "A {Lanczos}-based method for structural dynamic
                 reanalysis problems",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "37",
  number =       "16",
  pages =        "2857--2883",
  day =          "30",
  month =        aug,
  year =         "1994",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/nme.1620371610",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  MRclass =      "65F15 (15A18)",
  MRnumber =     "95d:65032",
  bibdate =      "Mon Jan 15 16:19:27 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "29 Jun 2005",
}

@InProceedings{Carlip:1994:TDQ,
  author =       "S. Carlip",
  title =        "Time in $ (2 + 1) $-Dimensional Quantum Gravity",
  crossref =     "Brown:1994:PCL",
  pages =        "560--562",
  year =         "1994",
  bibdate =      "Sat Jun 18 12:41:44 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Carlson:1994:OQP,
  author =       "Carl Carlson and Adam Szczepaniak",
  title =        "Open Questions in Particle Theory",
  crossref =     "Brown:1994:PCL",
  pages =        "603--604",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Carlson:1994:PQC,
  author =       "Carl E. Carlson",
  title =        "Perturbative {QCD} Calculations of Heavy Meson
                 Decays",
  crossref =     "Brown:1994:PCL",
  pages =        "605--607",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Chan:1994:CIO,
  author =       "Raymond Hon-fu Chan and F. R. Lin",
  title =        "Circulant Integral Operators and Circulant
                 Preconditioners",
  crossref =     "Brown:1994:PCL",
  pages =        "407--409",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Chu:1994:ECA,
  author =       "Moody Chu and John G. Lewis",
  title =        "Eigenvalue Computations: Applications",
  crossref =     "Brown:1994:PCL",
  pages =        "249--250",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Chu:1994:ECT,
  author =       "Moody Chu and John G. Lewis",
  title =        "Eigenvalue computations: theory and algorithms",
  crossref =     "Brown:1994:PCL",
  pages =        "241--242",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Clarke:1994:CMM,
  author =       "David A. Clarke",
  title =        "{CMoC}: {A} Multidimensional {MHD} Algorithm Stable to
                 the Effects of Velocity Shear",
  crossref =     "Brown:1994:PCL",
  pages =        "436--439",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  keywords =     "CMoC (the Consistent Method of Characteristics)",
}

@InProceedings{Cooley:1994:DF,
  author =       "James W. Cooley",
  title =        "Development of the {FFT}",
  crossref =     "Brown:1994:PCL",
  pages =        "393--394",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Cooley:1994:LFD,
  author =       "James W. Cooley",
  title =        "{Lanczos} and the {FFT}: {A} Discovery Before Its
                 Time",
  crossref =     "Brown:1994:PCL",
  pages =        "3--9",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  note =         "Plenary presentations, computational mathematics",
  acknowledgement = ack-nhfb,
}

@InProceedings{Craig:1994:AKL,
  author =       "Roy R. {Craig, Jr.} and Tzu-Jeng Su",
  title =        "Application of {Krylov\slash Lanczos} Methods to Model
                 Reduction and Control of Flexible Structures",
  crossref =     "Brown:1994:PCL",
  pages =        "380--383",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:12 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Cui:1994:W,
  author =       "Charles K. Cui",
  title =        "Wavelets",
  crossref =     "Brown:1994:PCL",
  pages =        "411--412",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Cullum:1994:BLAa,
  author =       "Jane K. Cullum",
  title =        "Block {Lanczos} Algorithms for Large Matrix Eigenvalue
                 Problems: {Part I}. Real Symmetric Case",
  crossref =     "Brown:1994:PCL",
  pages =        "313--315",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Cullum:1994:BLAb,
  author =       "Jane K. Cullum",
  title =        "Block {Lanczos} Algorithms for Large Matrix Eigenvalue
                 Problems: {Part II}. Nonsymmetric Case",
  crossref =     "Brown:1994:PCL",
  pages =        "316--318",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Cullum:1994:LAL,
  author =       "Jane K. Cullum",
  title =        "{Lanczos} Algorithms for Large Scale Symmetric and
                 Nonsymmetric Matrix Eigenvalue Problems",
  crossref =     "Brown:1994:PCL",
  pages =        "11--31",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Dai:1994:NSI,
  author =       "W. Dai and P. R. Woodward",
  title =        "Numerical Simulations for Ideal Magnetohydrodynamics",
  crossref =     "Brown:1994:PCL",
  pages =        "446--448",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Dolan:1994:LPW,
  author =       "P. Dolan and C. W. Kim",
  title =        "On the {Lanczos} Potential and its Wave Equation",
  crossref =     "Brown:1994:PCL",
  pages =        "497--499",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Dolan:1994:LT,
  author =       "P. Dolan and A. H. Taub",
  title =        "{Lanczos} {$H$}-tensor",
  crossref =     "Brown:1994:PCL",
  pages =        "488--489",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Drake:1994:EES,
  author =       "G. W. F. Drake",
  title =        "Essentially Exact Solutions of the Helium Problem",
  crossref =     "Brown:1994:PCL",
  pages =        "251--254",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Dunn:1994:PWE,
  author =       "C. T. Dunn",
  title =        "Plasma Waves in the Electron Foreshock",
  crossref =     "Brown:1994:PCL",
  pages =        "461--463",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Edgar:1994:LTD,
  author =       "S. Brian Edgar",
  title =        "The {Lanczos} {$H$}-Tensor, Dimension and Tensor
                 Identities",
  crossref =     "Brown:1994:PCL",
  pages =        "494--496",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{El-Daou:1994:WSC,
  author =       "M. K. El-Daou and E. L. Ortiz",
  title =        "The Weighting Subspaces of Collocation and the {Tau
                 Method}",
  crossref =     "Brown:1994:PCL",
  pages =        "337--340",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Fernandes:1994:NPS,
  author =       "Rui L. Fernandes",
  title =        "A Note on {Poisson} Symmetric Spaces",
  crossref =     "Brown:1994:PCL",
  pages =        "638--642",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Finn:1994:OBI,
  author =       "Lee Samuel Finn",
  title =        "Observing Binary Inspiral with {LIGO}",
  crossref =     "Brown:1994:PCL",
  pages =        "479--481",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  keywords =     "Laser Interferometer Gravitational-wave Observatory
                 (LIGO)",
}

@InProceedings{Fischer:1994:CCS,
  author =       "Arthur E. Fischer and Vincent Moncrief",
  title =        "Classical and Conformal Superspace, Linearization
                 Stability, and the Reduction of {Einstein}'s
                 Equations",
  crossref =     "Brown:1994:PCL",
  pages =        "535--542",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Fischer:1994:IPF,
  author =       "Bernd Fischer and Roland W. Freund",
  title =        "An Inner Product-Free Conjugate Gradient-Like
                 Algorithm for {Hermitian} Positive Definite Systems",
  crossref =     "Brown:1994:PCL",
  pages =        "288--290",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Florides:1994:TMM,
  author =       "P. S. Florides",
  title =        "On the {Tolman} and {M{\o}ller} Mass-Energy Formulae
                 in {General Relativity}",
  crossref =     "Brown:1994:PCL",
  pages =        "503--505",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Frampton:1994:NGB,
  author =       "Paul H. Frampton",
  title =        "New Gauge Bosons for Multi-{TEV} pp Scattering",
  crossref =     "Brown:1994:PCL",
  pages =        "623--625",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Frampton:1994:SP,
  author =       "Paul Frampton and Tom Kephart and Marc Sher",
  title =        "Supercollider Physics",
  crossref =     "Brown:1994:PCL",
  pages =        "621--622",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Frasca:1994:SPE,
  author =       "Sergio Frasca and Maria Alessandra Papa",
  title =        "Source Parameter Estimation and Filtering with Local
                 and Geographical Networks of Resonant Gravitational
                 Antennas",
  crossref =     "Brown:1994:PCL",
  pages =        "485--487",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  URL =          "http://www.roma1.infn.it/rog/array/lancz.html",
  acknowledgement = ack-nhfb,
}

@InProceedings{Freund:1994:LAL,
  author =       "Roland W. Freund",
  title =        "The Look-Ahead {Lanczos} Process for Nonsymmetric
                 Matrices and its Applications",
  crossref =     "Brown:1994:PCL",
  pages =        "33--47",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  URL =          "ftp://netlib.att.com/netlib/att/cs/doc/94/4-06.ps.Z",
  acknowledgement = ack-nhfb,
}

@InProceedings{Freund:1994:LTA,
  author =       "Roland W. Freund",
  title =        "{Lanczos}-Type Algorithms for Structured
                 Non-{Hermitian} Eigenvalue Problems",
  crossref =     "Brown:1994:PCL",
  pages =        "243--245",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  URL =          "ftp://netlib.att.com/netlib/att/cs/doc/94/4-05.ps.Z",
  acknowledgement = ack-nhfb,
  scope =        "linal",
}

@InProceedings{Galick:1994:ESL,
  author =       "Albert T. Galick",
  title =        "Efficient Solution of Large Sparse Eigenvalue Problems
                 in Microelectronic Simulation",
  crossref =     "Brown:1994:PCL",
  pages =        "258--260",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Gambolati:1994:CLO,
  author =       "Giuseppe Gambolati and Mario Putti",
  title =        "A comparison of {Lanczos} and optimization methods in
                 the partial solution of sparse symmetric
                 eigenproblems",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "37",
  number =       "4",
  pages =        "605--621",
  day =          "28",
  month =        feb,
  year =         "1994",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/nme.1620370405",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "24 Jun 2005",
}

@InProceedings{Gander:1994:LCQ,
  author =       "Walter Gander and Gene H. Golub and Urs von Matt",
  title =        "Large Constrained Quadratic Problems",
  crossref =     "Brown:1994:PCL",
  pages =        "308--310",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Ganguli:1994:IGL,
  author =       "G. Ganguli",
  title =        "Interdependence of Global and Local Physics in the
                 Magnetotail",
  crossref =     "Brown:1994:PCL",
  pages =        "470--472",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:16:40 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Garfinkle:1994:CC,
  author =       "David Garfinkle",
  title =        "Cosmic censorship",
  crossref =     "Brown:1994:PCL",
  pages =        "513--514",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Garfinkle:1994:EPP,
  author =       "David Garfinkle and Steven Giddings and Andrew
                 Strominger",
  title =        "Entropy of Pair Production of Charged Black Holes",
  crossref =     "Brown:1994:PCL",
  pages =        "551--553",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Geers:1994:NSW,
  author =       "D. Glenn Geers and I. M. Bassett",
  title =        "Numerical Solution of the Wave Equation in an Optical
                 Fibre",
  crossref =     "Brown:1994:PCL",
  pages =        "255--257",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Gellai:1994:CLB,
  author =       "Barbara Gellai",
  title =        "{Cornelius Lanczos}: a biographical essay",
  crossref =     "Brown:1994:PCL",
  pages =        "xxi--xlviii",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Gotay:1994:SMP,
  author =       "Mark J. Gotay and Peter J. Olver",
  title =        "Symplectic Methods in Physics",
  crossref =     "Brown:1994:PCL",
  pages =        "633--634",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Greenbaum:1994:GCA,
  author =       "Anne Greenbaum and Lloyd N. Trefethen",
  title =        "{GMRES\slash CR} and {Arnoldi\slash Lanczos} as Matrix
                 Approximation Problems",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "15",
  number =       "2",
  pages =        "359--368",
  month =        mar,
  year =         "1994",
  CODEN =        "SJOCE3",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65F10 (65F15)",
  MRnumber =     "MR1261459 (95e:65029)",
  MRreviewer =   "Zden{\v{e}}k Dost{\'a}l",
  bibdate =      "Tue Apr 29 18:25:50 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "Iterative methods in numerical linear algebra (Copper
                 Mountain Resort, CO, 1992).",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@InProceedings{Greenbaum:1994:LCG,
  author =       "Anne Greenbaum",
  title =        "The {Lanczos} and Conjugate Gradient Algorithms in
                 Finite Precision Arithmetic",
  crossref =     "Brown:1994:PCL",
  pages =        "49--60",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Grimes:1994:SBL,
  author =       "Roger G. Grimes and John G. Lewis and Horst D. Simon",
  title =        "A Shifted Block {Lanczos} Algorithm for Solving Sparse
                 Symmetric Generalized Eigenproblems",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "15",
  number =       "1",
  pages =        "228--272",
  month =        jan,
  year =         "1994",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479888151111",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F15 (65F50 73K12 73V20)",
  MRnumber =     "94k:65054",
  MRreviewer =   "Colette Lebaud",
  bibdate =      "Fri Dec 4 12:14:09 MST 1998",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/15/1;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/15111",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@InProceedings{Grubisic:1994:VDN,
  author =       "Boro Grubi{\v{s}}i{\'c}",
  title =        "Velocity Dominance near a Crushing Singularity",
  crossref =     "Brown:1994:PCL",
  pages =        "524--526",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  URL =          "http://xxx.lanl.gov/abs/gr-qc/9404056",
  acknowledgement = ack-nhfb,
}

@InProceedings{Gsponer:1994:LER,
  author =       "Andr{\'e} A. Gsponer and Jean-Pierre Hurni",
  title =        "{Lanczos}'s Equation to Replace {Dirac}'s Equation?",
  crossref =     "Brown:1994:PCL",
  pages =        "509--512",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Guarracino:1994:PBL,
  author =       "Mario Rosario Guarracino and Francesca Perla",
  title =        "A Parallel Block {Lanczos} Algorithm for Distributed
                 Memory Architectures",
  journal =      j-PARALLEL-ALGORITHMS-APPL,
  volume =       "4",
  number =       "3--4",
  pages =        "211--221",
  month =        "????",
  year =         "1994",
  CODEN =        "PAAPEC",
  DOI =          "https://doi.org/10.1080/10637199408915465",
  ISSN =         "1063-7192",
  ISSN-L =       "1026-7689",
  bibdate =      "Fri Jul 11 06:45:41 MDT 2008",
  bibsource =    "http://pixel.dma.unina.it/ResearchNLA_mc.html;
                 http://ventotene.dma.unina.it/mathsoft_ing.html;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.informaworld.com/smpp/content~content=a777314732",
  acknowledgement = ack-nhfb,
  fjournal =     "Parallel Algorithms and Applications",
  journal-URL =  "http://www.tandfonline.com/loi/gpaa20",
}

@Article{Gutknecht:1994:CTU,
  author =       "Martin H. Gutknecht",
  title =        "A Completed Theory of the Unsymmetric {Lanczos}
                 Process and Related Algorithms, {Part II}",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "15",
  number =       "1",
  pages =        "15--58",
  month =        jan,
  year =         "1994",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479890188803",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F30",
  MRnumber =     "95d:65039",
  MRreviewer =   "E. L. Yip",
  bibdate =      "Fri Dec 4 12:14:09 MST 1998",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/15/1;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/18880",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@InProceedings{Gutknecht:1994:LPP,
  author =       "Martin H. Gutknecht",
  title =        "The {Lanczos} process and {Pad{\'e}} approximation",
  crossref =     "Brown:1994:PCL",
  pages =        "61--75",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  kwds =         "nla, Lanczos algorithm, Krylov sequence, Pade
                 approximation",
}

@InProceedings{Halliwell:1994:DFQ,
  author =       "Jonathan J. Halliwell",
  title =        "Decoherence and the Foundations of Quantum Mechanics",
  crossref =     "Brown:1994:PCL",
  pages =        "589--590",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Halliwell:1994:QMH,
  author =       "J. J. Halliwell",
  title =        "Quantum-Mechanical Histories and the {Uncertainty
                 Principle}: An Information-Theoretic Approach",
  crossref =     "Brown:1994:PCL",
  pages =        "600--602",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Hammon:1994:LTG,
  author =       "K. S. Hammon and L. K. Norris",
  title =        "The {Lanczos} {$H$}-tensor and Generalized Affine
                 Geometry",
  crossref =     "Brown:1994:PCL",
  pages =        "500--502",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Hartle:1994:QDQ,
  author =       "James B. Hartle",
  title =        "Quasiclassical Domains in a Quantum Universe",
  crossref =     "Brown:1994:PCL",
  pages =        "161--172",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Hendrikx:1994:MIE,
  author =       "Koen Hendrikx and Marc {Van Burel} and Adhemar
                 Bultheel",
  title =        "{MatMan}: An Interactive Environment for Using and
                 Testing Linear Algebra Software",
  crossref =     "Brown:1994:PCL",
  pages =        "326--328",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  keywords =     "Matlab; MatMan (Matrix Manipulator)",
}

@InProceedings{Husain:1994:CCN,
  author =       "Viqar Husain",
  title =        "Conserved Currents for Non-Linear Gravitons",
  crossref =     "Brown:1994:PCL",
  pages =        "582--584",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Isenberg:1994:CPG,
  author =       "James Isenberg",
  title =        "{Cauchy} Problem of {General Relativity}",
  crossref =     "Brown:1994:PCL",
  pages =        "527--528",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Jaimoukha:1994:MRL,
  author =       "Imad M. Jaimoukha and Ebrahim M. Kasenally",
  title =        "Model reduction of large scale systems via the
                 {Arnoldi} process",
  crossref =     "Brown:1994:PCL",
  pages =        "384--386",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Ji:1994:LV,
  author =       "Chueng-Ryong Ji",
  title =        "The Lightcone Vacuum",
  crossref =     "Brown:1994:PCL",
  pages =        "615--617",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Jones:1994:SGE,
  author =       "Mark T. Jones and Paul E. Plassman",
  title =        "Software for the Generalized Eigenproblem on
                 Distributed Memory Architectures",
  crossref =     "Brown:1994:PCL",
  pages =        "322--325",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Karlberg:1994:GQF,
  author =       "Lennart Karlberg and Hans Wallin",
  title =        "General quadrature formulas and {Pad{\'e} type
                 approximants}",
  crossref =     "Brown:1994:PCL",
  pages =        "368--370",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Karolyhazy:1994:GEB,
  author =       "F. Karolyhazy",
  title =        "Gravitation and the Eventual Breakdown of the
                 Quantummechanical Superposition Principle",
  crossref =     "Brown:1994:PCL",
  pages =        "597--599",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Kephart:1994:GNS,
  author =       "Thomas W. Kephart",
  title =        "Gravity, Naturalness, and the Strong {CP} Problem",
  crossref =     "Brown:1994:PCL",
  pages =        "626--628",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:40:10 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Khajah:1994:UHP,
  author =       "H. G. Khajah and E. L. Ortiz",
  title =        "Ultra-high precision computations",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "27",
  number =       "7",
  pages =        "41--57",
  month =        apr,
  year =         "1994",
  CODEN =        "CMAPDK",
  DOI =          "https://doi.org/10.1016/0898-1221(94)90148-1",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Wed Mar 1 19:11:20 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fortran3.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0898122194901481",
  abstract =     "We describe a machine independent Fortran subroutine
                 which performs the four basic arithmetic operations
                 with a degree of accuracy prescribed by the user.
                 Tables of Chebyshev expansions of orders 48 and 50 for
                 some basic mathematical functions are obtained as a
                 result of applying this subroutine in conjunction with
                 the recursive formulation of the Tau Method. A recently
                 devised technique for the sharp determination of upper
                 and lower error bounds for Tau Method approximations
                 enables us to find the degree $n$ required to achieve a
                 prescribed accuracy $ \epsilon $ over a given interval
                 $ [a, b] $. A number of practical illustrations are
                 given.",
  acknowledgement = ack-nhfb,
  affiliation =  "Dept. of Math., Imperial Coll. of Sci., Technol. and
                 Med., London, UK",
  classification = "C6140D (High level languages); C7310 (Mathematics)",
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
  keywords =     "$\cos(\pi x)$; $\sin(\pi x)$; $z \exp(z) \Ei(-z)$;
                 $\erf(x) / x$; $\exp(-x^2)$; $\exp(x)$; $x \exp(x^2)
                 erfc(x)$; Arithmetic operations; Chebyshev expansions;
                 Lower error bounds; Machine independent Fortran
                 subroutine; Mathematical functions; Tau method; Upper
                 error bounds",
  pubcountry =   "UK",
  thesaurus =    "FORTRAN; Mathematics computing",
}

@InProceedings{Kiefer:1994:SGP,
  author =       "Claus Kiefer",
  title =        "Semiclassical Gravity and the Problem of Time",
  crossref =     "Brown:1994:PCL",
  pages =        "566--569",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Klimas:1994:VSF,
  author =       "Alex Klimas",
  title =        "{Vlasov} Simulation with Filamentation Removed",
  crossref =     "Brown:1994:PCL",
  pages =        "458--460",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Knizhnerman:1994:SLD,
  author =       "Leonid Knizhnerman and Vladimir Druskin and Qing-Huo
                 Liu and Fikri J. Kuchuk",
  title =        "Spectral {Lanczos} decomposition method for solving
                 single-phase fluid flow porous media",
  journal =      j-NUMER-METHODS-PARTIAL-DIFFER-EQU,
  volume =       "10",
  number =       "5",
  pages =        "569--580",
  month =        sep,
  year =         "1994",
  CODEN =        "NMPDEB",
  DOI =          "https://doi.org/10.1002/num.1690100504",
  ISSN =         "0749-159x (print), 1098-2426 (electronic)",
  ISSN-L =       "0749-159X",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Methods for Partial Differential Equations",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1098-2426",
  onlinedate =   "20 Jun 2005",
}

@InProceedings{Krauss-Varban:1994:SGW,
  author =       "D. Krauss-Varban and N. Omidi and M. E. McKean",
  title =        "Shock-Generated Waves as a Source of Magnetosheath
                 Turbulence",
  crossref =     "Brown:1994:PCL",
  pages =        "464--466",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Krolak:1994:NSS,
  author =       "Andrzej Kr{\'o}lak and Andrzej Czyrka and Janusz Gaber
                 and Wies{\l}aw Rudnicki",
  title =        "On the Nature and Strength of Singularities in the
                 {Szekeres} Quasispherical Collapse",
  crossref =     "Brown:1994:PCL",
  pages =        "518--520",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Kuchar:1994:PTQ,
  author =       "Karl V. Kucha{\v{r}}",
  title =        "The Problem of Time in Quantum Gravity",
  crossref =     "Brown:1994:PCL",
  pages =        "555--556",
  year =         "1994",
  bibdate =      "Sat Jun 18 12:39:04 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Kucharek:1994:IPI,
  author =       "H. Kucharek and M. Scholer",
  title =        "Interstellar Pick-up Ions at the Heliospheric
                 Termination Shock",
  crossref =     "Brown:1994:PCL",
  pages =        "473--475",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Kuczynski:1994:PBE,
  author =       "J. Kuczy{\'n}ski and H. Wo{\'z}niakowski",
  title =        "Probabilistic Bounds on the Extremal Eigenvalues and
                 Condition Number by the {Lanczos} Algorithm",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "15",
  number =       "2",
  pages =        "672--691",
  month =        apr,
  year =         "1994",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479892230456",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F15 (65F10)",
  MRnumber =     "95d:65033",
  MRreviewer =   "Marc Van Barel",
  bibdate =      "Fri Dec 4 12:14:09 MST 1998",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/15/2;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/23045",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@InProceedings{Lax:1994:CLH,
  author =       "Peter D. Lax",
  title =        "{Cornelius Lanczos} (1893--1974), and the {Hungarian}
                 phenomenon in science and mathematics",
  crossref =     "Brown:1994:PCL",
  pages =        "xlix--lii",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Lee:1994:HSM,
  author =       "L. C. Lee and Y. Lin",
  title =        "A Hybrid Simulation of Magnetopause",
  crossref =     "Brown:1994:PCL",
  pages =        "467--469",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Lewandowski:1994:DGT,
  author =       "Jerzy Lewandowski",
  title =        "Differential Geometry for the Space of Connections
                 Modulo Gauge Transformations",
  crossref =     "Brown:1994:PCL",
  pages =        "573--575",
  year =         "1994",
  bibdate =      "Sat Jun 18 12:28:10 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  xxtitle =      "Differential Geometry on {$\bar{\mathcal{A} /
                 \mathcal{G}}$}",
}

@InProceedings{Lewis:1994:PSO,
  author =       "John G. Lewis and Roger G. Grimes",
  title =        "Preserving Semi-Orthogonality in Practice",
  crossref =     "Brown:1994:PCL",
  pages =        "319--321",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Louko:1994:GSW,
  author =       "Jorma Louko and Donald Marolf",
  title =        "Global Structure of {Witten}'s $ 2 + 1 $ Gravity on {$
                 \mathbf {R} \times T^2 $}",
  crossref =     "Brown:1994:PCL",
  pages =        "579--581",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Mann:1994:CQP,
  author =       "R. B. Mann",
  title =        "Classical and Quantum Properties of {Liouville} Black
                 Holes",
  crossref =     "Brown:1994:PCL",
  pages =        "545--547",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@TechReport{Marques:1994:SPC,
  author =       "Osni A. Marques and Vincent Toumazou",
  title =        "Spectral Portrait Computation by a {Lanczos} Method
                 (Normal Equation Version)",
  type =         "Technical Report",
  number =       "TR/PA/95/02",
  institution =  "CERFACS",
  address =      "Toulouse, France",
  pages =        "????",
  month =        dec,
  year =         "1994",
  bibdate =      "Fri Jun 10 12:38:34 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Marx:1994:RCL,
  author =       "George Marx",
  title =        "The roots of {Cornelius Lanczos}",
  crossref =     "Brown:1994:PCL",
  pages =        "liii--lvii",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Masson:1994:EST,
  author =       "David R. Masson",
  title =        "Explicit Spectral Theory: From {Chebyshev} to
                 {Askey--Wilson}",
  crossref =     "Brown:1994:PCL",
  pages =        "359--364",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Matsumoto:1994:CMJ,
  author =       "R. Matsumoto and K. Shibata and T. Yokoyama",
  title =        "Computational Magnetohydrodynamics of Jets, Loops, and
                 Flares in Astrophysics",
  crossref =     "Brown:1994:PCL",
  pages =        "443--445",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Nagy:1994:IIR,
  author =       "James G. Nagy",
  title =        "Iterative Image Restoration Using {FFT}-Based
                 Preconditioners",
  crossref =     "Brown:1994:PCL",
  pages =        "401--403",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Ng:1994:FFB,
  author =       "Michael Kwok-Po Ng",
  title =        "Fast {FFT}-based Conjugate Gradient Algorithm for the
                 Applications in Signal Processing",
  crossref =     "Brown:1994:PCL",
  pages =        "404--406",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Nowack:1994:DFA,
  author =       "Robert Nowack",
  title =        "Development of the {FFT} and Applications in
                 Geophysics",
  crossref =     "Brown:1994:PCL",
  pages =        "395--397",
  year =         "1994",
  bibdate =      "Sat Jun 11 16:15:19 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib",
  URL =          "http://web.ics.purdue.edu/~nowack/nowackpubs-dir/Lanczos-nowackfft1994.pdf",
  abstract =     "The development of the fast Fourier transform, or FFT,
                 has had a major impact on most scientific fields. One
                 of the earliest ``recent'' discoveries of the FTT was
                 by Danielson and Lanczos in 1942, although the method
                 was made widespread through the work of Cooley and
                 Tukey in 1965. In the geophysical sciences, the FFT has
                 been utilized in a wide variety of applications
                 including forward modeling, data processing and
                 inversion methods.",
  acknowledgement = ack-nhfb,
}

@InProceedings{Opfer:1994:NID,
  author =       "G. Opfer",
  title =        "On the Number of Integer Dilation Matrices Used in
                 Wavelet Theory",
  crossref =     "Brown:1994:PCL",
  pages =        "426--428",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Ortiz:1994:CP,
  author =       "Eduardo L. Ortiz",
  title =        "{Chebyshev} Polynomials",
  crossref =     "Brown:1994:PCL",
  pages =        "357--358",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Ortiz:1994:TM,
  author =       "Eduardo L. Ortiz",
  title =        "{Tau Method}",
  crossref =     "Brown:1994:PCL",
  pages =        "335--336",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Ortiz:1994:TMN,
  author =       "Eduardo L. Ortiz",
  title =        "The {Tau Method} and the Numerical Solution of
                 Differential Equations: Past and Recent Research",
  crossref =     "Brown:1994:PCL",
  pages =        "77--81",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Paige:1994:KSP,
  author =       "C. C. Paige",
  title =        "{Krylov} Subspace Processes, {Krylov} Subspace
                 Methods, and Iteration Polynomials",
  crossref =     "Brown:1994:PCL",
  pages =        "83--92",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Parlett:1994:DWF,
  author =       "Beresford N. Parlett",
  title =        "Do We Fully Understand the Symmetric {Lanczos}
                 Algorithm Yet?",
  crossref =     "Brown:1994:PCL",
  pages =        "93--107",
  year =         "1994",
  MRclass =      "65Y20 (65F15)",
  MRnumber =     "MR1298225 (95f:65238)",
  bibdate =      "Sat Mar 4 14:38:48 GMT 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 MathSciNet database",
  URL =          "https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Pearle:1994:PWC,
  author =       "Philip Pearle",
  title =        "Putting wavefunction collapse ``in the equations and
                 not just the talk''",
  crossref =     "Brown:1994:PCL",
  pages =        "594--596",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Petiot:1994:GIE,
  author =       "D. Petiot and Y. (Yasushi) Takahashi",
  title =        "Gauge Invariant Energy-Momentum Tensor in Spinor
                 Electrodynamics",
  crossref =     "Brown:1994:PCL",
  pages =        "173--186",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Pini:1994:TFL,
  author =       "G. Pini",
  title =        "Transpose-Free {Lanczos}-Type Schemes on Transputer
                 Network",
  journal =      j-PARALLEL-ALGORITHMS-APPL,
  volume =       "3",
  number =       "3--4",
  pages =        "249--260",
  month =        "????",
  year =         "1994",
  CODEN =        "PAAPEC",
  DOI =          "https://doi.org/10.1080/10637199408962541",
  ISSN =         "1063-7192",
  ISSN-L =       "1026-7689",
  bibdate =      "Fri Jul 11 06:45:41 MDT 2008",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.informaworld.com/smpp/content~content=a779167060",
  acknowledgement = ack-nhfb,
  fjournal =     "Parallel Algorithms and Applications",
  journal-URL =  "http://www.tandfonline.com/loi/gpaa20",
}

@InProceedings{Piran:1994:RBN,
  author =       "Tsvi Piran",
  title =        "$ \gamma $-Ray Bursts and Neutron Star Mergers",
  crossref =     "Brown:1994:PCL",
  pages =        "187--199",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Plemmons:1994:FSP,
  author =       "Robert J. Plemmons",
  title =        "The {FFT} in Signal Processing",
  crossref =     "Brown:1994:PCL",
  pages =        "399--400",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Prestin:1994:DPT,
  author =       "J{\"u}rgen Prestin and Ewald Quak",
  title =        "Decay Properties of Trigonometric Wavelets",
  crossref =     "Brown:1994:PCL",
  pages =        "413--415",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Rappoport:1994:TMC,
  author =       "Juri M. Rappoport",
  title =        "The {Tau-Method} and the Computation of the {Bessel}
                 Functions of the Complex Order",
  crossref =     "Brown:1994:PCL",
  pages =        "353--355",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Rimini:1994:SLA,
  author =       "Alberto Rimini",
  title =        "The Spontaneous Localization Approach to Quantum
                 Measurement",
  crossref =     "Brown:1994:PCL",
  pages =        "591--593",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Ron:1994:FSB,
  author =       "Amos Ron and Zuowei Shen",
  title =        "Frames and Stable Bases for Subspaces of {$ L_2
                 (\mathbb {R}^d) $} the Duality Principle of
                 {Weyl--Heisenberg} Sets",
  crossref =     "Brown:1994:PCL",
  pages =        "422--425",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Rozsa:1994:GBM,
  author =       "P{\'a}l R{\'o}zsa and Francesco Romani and Roberto
                 Bevilacqua",
  title =        "On Generalized Band Matrices and Their Inverses",
  crossref =     "Brown:1994:PCL",
  pages =        "109--121",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Rudnicki:1994:GST,
  author =       "Wies{\l}aw Rudnicki",
  title =        "Generic Space-times, Strong Curvature Singularities
                 and Cosmic Censorship",
  crossref =     "Brown:1994:PCL",
  pages =        "521--523",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@TechReport{Saad:1994:TEBa,
  author =       "Y. Saad",
  title =        "Theoretical Error Bounds and General Analysis of a Few
                 {Lanczos}-Type Algorithms",
  number =       "UMSI 94-90",
  institution =  "University of Minnesota Supercomputer Institute",
  address =      "Minneapolis, MN 55415, USA",
  year =         "1994",
  bibdate =      "Fri Jun 10 12:38:34 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib",
  acknowledgement = ack-nhfb,
  thanks =       "This work was supported by NSF under grants number
                 DMR-9217287 and CCR-9214116 and by the Minnesota
                 Supercomputer Institute.",
}

@InProceedings{Saad:1994:TEBb,
  author =       "Yousef Saad",
  title =        "Theoretical Error Bounds and General Analysis of a Few
                 {Lanczos}-Type Algorithms",
  crossref =     "Brown:1994:PCL",
  pages =        "123--134",
  year =         "1994",
  MRclass =      "65F10 (65G05)",
  MRnumber =     "1298227 (95f:65071)",
  bibdate =      "Sun Sep 5 09:21:22 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Scholer:1994:NSC,
  author =       "Manfred Scholer and Dan Winske",
  title =        "Numerical Simulations of Collisionless Space Plasmas",
  crossref =     "Brown:1994:PCL",
  pages =        "453--454",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Seidel:1994:SEE,
  author =       "Edward Seidel",
  title =        "Solving {Einstein}'s Equations on Supercomputers",
  crossref =     "Brown:1994:PCL",
  pages =        "529--531",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Sher:1994:SS,
  author =       "Mark Sher",
  title =        "Supersymmetry at Supercolliders",
  crossref =     "Brown:1994:PCL",
  pages =        "629--631",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Sidi:1994:AVV,
  author =       "Avram Sidi",
  title =        "Application of Vector-Valued Rational Approximations
                 to the Matrix Eigenvalue Problem and Connections with
                 {Krylov} Subspace Methods",
  crossref =     "Brown:1994:PCL",
  pages =        "246--248",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Sidi:1994:UBC,
  author =       "Avram Sidi and Yair Shapira",
  title =        "Upper Bounds for Convergence Rates of Vector
                 Extrapolation Methods on Linear Systems with Initial
                 Iterations",
  crossref =     "Brown:1994:PCL",
  pages =        "285--287",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Sleijpen:1994:BES,
  author =       "G. L. G. Sleijpen and D. R. Fokkema and H. A. van der
                 Vorst",
  title =        "{BiCGstab}($ \ell $ ): An Efficient and Surprisingly
                 Stable Solver of Nonsymmetric Linear Equations",
  crossref =     "Brown:1994:PCL",
  pages =        "291--293",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Smith:1994:DDK,
  author =       "H. A. Smith and D. C. Sorensen and R. K. Singh",
  title =        "To discussion by {D. Kennedy} and {F. W. Williams} on
                 {{\em A Lanczos-based technique for exact vibration
                 analysis of skeletal structures}}",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "37",
  number =       "18",
  pages =        "3199--3201",
  day =          "30",
  month =        sep,
  year =         "1994",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/nme.1620371813",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "29 Jun 2005",
}

@InProceedings{Smolin:1994:NVL,
  author =       "L. Smolin",
  title =        "New Variables and Loop Quantization",
  crossref =     "Brown:1994:PCL",
  pages =        "571--572",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Springer:1994:BDC,
  author =       "R. P. Springer and M. N. Butler and M. J. Savage",
  title =        "The Baryon Decuplet in Chiral Perturbation Theory",
  crossref =     "Brown:1994:PCL",
  pages =        "611--614",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Stachel:1994:LEC,
  author =       "John Stachel",
  title =        "{Lanczos}'s Early Contributions to {Relativity} and
                 His Relationship with {Einstein}",
  crossref =     "Brown:1994:PCL",
  pages =        "201--221",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/einstein.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Stein:1994:MSP,
  author =       "R. F. Stein and Klaus Galsgaard and {\AA}ke Nordlund",
  title =        "{MHD} Simulations on Parallel Computers",
  crossref =     "Brown:1994:PCL",
  pages =        "440--442",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Stewart:1994:LLS,
  author =       "G. W. Stewart",
  title =        "{Lanczos} and linear systems",
  crossref =     "Brown:1994:PCL",
  pages =        "135--139",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Stone:1994:CCM,
  author =       "James M. Stone",
  title =        "The Challenge of Computational {MHD} in Astrophysics",
  crossref =     "Brown:1994:PCL",
  pages =        "433--435",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:10:44 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Szczepaniak:1994:HMF,
  author =       "Adam Szczepaniak",
  title =        "Heavy Meson Form Factor and Constituent Quark
                 Structure",
  crossref =     "Brown:1994:PCL",
  pages =        "608--610",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:36:43 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Taasan:1994:MTL,
  author =       "Shlomo Ta'asan and Sorin Costiner",
  title =        "Multilevel Techniques for Large Sparse Eigenvalue
                 Problems",
  crossref =     "Brown:1994:PCL",
  pages =        "261--263",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Tassone:1994:ASI,
  author =       "F. Tassone and F. Mauri and R. Car",
  title =        "Acceleration schemes for ab initio molecular-dynamics
                 simulations and electronic-structure calculations",
  journal =      j-PHYS-REV-B-CMMP,
  volume =       "50",
  number =       "15",
  pages =        "10561--10573",
  month =        "????",
  year =         "1994",
  CODEN =        "PRBMDO",
  DOI =          "https://doi.org/10.1103/PhysRevB.50.10561",
  ISSN =         "1098-0121",
  ISSN-L =       "1098-0121",
  bibdate =      "Mon Jun 13 10:08:11 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://link.aps.org/doi/10.1103/PhysRevB.50.10561",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review B: Condensed Matter and Materials Physics",
  journal-URL =  "http://prb.aps.org/browse",
  keywords =     "Car--Pinello eigensolution preconditioning",
}

@InProceedings{Taub:1994:LTG,
  author =       "A. H. Taub",
  title =        "The {Lanczos} Tensor in Gauge Theoretic Form",
  crossref =     "Brown:1994:PCL",
  pages =        "491--493",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Teitelboim:1994:TRB,
  author =       "Claudio Teitelboim",
  title =        "Topological Roots of Black Hole Entropy",
  crossref =     "Brown:1994:PCL",
  pages =        "223--230",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Thiemann:1994:CQM,
  author =       "T. Thiemann",
  title =        "Canonical Quantization of a Minisuperspace Model for
                 Gravity Using Self-Dual Variables",
  crossref =     "Brown:1994:PCL",
  pages =        "585--587",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:31:03 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Todd:1994:RCL,
  author =       "John Todd",
  title =        "Reminiscences of {Cornelius Lanczos}",
  crossref =     "Brown:1994:PCL",
  pages =        "lviii--lix",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Torre:1994:PTO,
  author =       "C. G. Torre",
  title =        "The Problems of Time and Observables: Some Recent
                 Mathematical Results",
  crossref =     "Brown:1994:PCL",
  pages =        "557--559",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Treumann:1994:WCW,
  author =       "Rudolf Treumann",
  title =        "What Can We Learn from Numerical Simulations?",
  crossref =     "Brown:1994:PCL",
  pages =        "455--457",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{vanderVorst:1994:CBA,
  author =       "Henk A. van der Vorst",
  title =        "A Comparison between {ART}, {CG} and {SIRT}",
  crossref =     "Brown:1994:PCL",
  pages =        "302--304",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{vanderVorst:1994:IML,
  author =       "Henk A. van der Vorst",
  title =        "Iterative Methods for Linear Systems",
  crossref =     "Brown:1994:PCL",
  pages =        "277--277",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{vanPutten:1994:FMC,
  author =       "Maurice H. P. M. van Putten",
  title =        "On the Formation of Magnetically Collimated
                 Relativistic Jets",
  crossref =     "Brown:1994:PCL",
  pages =        "449--452",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Vuik:1994:GLM,
  author =       "C. Vuik",
  title =        "{GMRES}-like Methods with Variable Preconditioners",
  crossref =     "Brown:1994:PCL",
  pages =        "282--284",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Wald:1994:VPL,
  author =       "Robert M. Wald",
  title =        "Variational Principles, Local Symmetries, and Black
                 Hole Entropy",
  crossref =     "Brown:1994:PCL",
  pages =        "231--237",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Wang:1994:LSE,
  author =       "Lin-Wang Wang and Alex Zunger",
  title =        "Large scale electronic structure calculations using
                 the {Lanczos} method",
  journal =      j-COMPUT-MATER-SCI,
  volume =       "2",
  number =       "2",
  pages =        "326--340",
  month =        mar,
  year =         "1994",
  CODEN =        "CMMSEM",
  DOI =          "https://doi.org/10.1016/0927-0256(94)90115-5",
  ISSN =         "0927-0256 (print), 1879-0801 (electronic)",
  ISSN-L =       "0927-0256",
  bibdate =      "Fri Jun 10 17:03:28 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computational Materials Science",
  journal-URL =  "http://www.sciencedirect.com/science/journal/09270256",
}

@InProceedings{Wells:1994:MAW,
  author =       "R. O. {Wells, Jr.}",
  title =        "Multiscale Applications of Wavelets to Solutions of
                 Partial Differential Equations",
  crossref =     "Brown:1994:PCL",
  pages =        "416--417",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Wickerhauser:1994:AWF,
  author =       "Mladen Victor Wickerhauser",
  title =        "An Adapted Waveform Functional Calculus",
  crossref =     "Brown:1994:PCL",
  pages =        "418--421",
  year =         "1994",
  bibdate =      "Sat Jun 18 13:03:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Will:1994:DGR,
  author =       "Clifford M. Will",
  title =        "Detection of Gravitational Radiation from
                 Astrophysical Sources",
  crossref =     "Brown:1994:PCL",
  pages =        "477--478",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@InProceedings{Xu:1994:ALA,
  author =       "Guanghan Xu and Young Man Cho and Thomas Kailath",
  title =        "An Application of the {Lanczos} Algorithm in Signal
                 Processing and System Identification",
  crossref =     "Brown:1994:PCL",
  pages =        "390--392",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Xu:1994:FEP,
  author =       "Guanghan Xu and Thomas Kailath",
  title =        "Fast Estimation of Principal Eigenspace Using
                 {Lanczos} Algorithm",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "15",
  number =       "3",
  pages =        "974--994",
  month =        jul,
  year =         "1994",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479890183848",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F15 (65J10)",
  MRnumber =     "95c:65064",
  bibdate =      "Fri Dec 4 12:14:09 MST 1998",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/15/3;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/18384",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Ye:1994:BFV,
  author =       "Qiang Ye",
  title =        "A breakdown-free variation of the nonsymmetric
                 {Lanczos} algorithms",
  journal =      j-MATH-COMPUT,
  volume =       "62",
  number =       "205",
  pages =        "179--207",
  month =        jan,
  year =         "1994",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65F15",
  MRnumber =     "94c:65049",
  MRreviewer =   "Cs. J. Heged\H us",
  bibdate =      "Sat Jan 11 13:29:06 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@InProceedings{Young:1994:LAB,
  author =       "David M. Young and Jen-Yuan Chen",
  title =        "{LANGMRES}: An Alternative to the Biconjugate Gradient
                 Method for Solving Large Sparse Nonsymmetric Linear
                 Systems",
  crossref =     "Brown:1994:PCL",
  pages =        "279--281",
  year =         "1994",
  bibdate =      "Sat Jun 11 17:22:09 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
}

@Article{Anonymous:1995:BRP,
  author =       "Anonymous",
  title =        "Book Review: {{\em Proceedings of the Cornelius
                 Lanczos International Centenary Conference}, J. D.
                 Brown, M. T. Chu, D. C. Ellison and R. J. Plemmons,
                 Eds., SIAM, Philadelphia, PA, 1994, lxv + 644 pp}",
  journal =      j-J-APPROX-THEORY,
  volume =       "82",
  number =       "3",
  pages =        "479--479",
  month =        sep,
  year =         "1995",
  CODEN =        "JAXTAZ",
  DOI =          "https://doi.org/10.1006/jath.1995.1104",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Fri Jun 10 17:17:03 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Approximation Theory",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
}

@Article{Arioli:1995:BLT,
  author =       "Mario Arioli and Iain S. Duff and Daniel Ruiz and
                 Miloud Sadkane",
  title =        "{Block Lanczos} techniques for accelerating the {Block
                 Cimmino} method",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "16",
  number =       "6",
  pages =        "1478--1511",
  month =        nov,
  year =         "1995",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/0916086",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65F50 (65F10 65F35 65Y05)",
  MRnumber =     "MR1355505 (96m:65051)",
  MRreviewer =   "K. N. Sigmon",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{Baheux:1995:NIL,
  author =       "C. Baheux",
  title =        "New implementations of {Lanczos} method",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "57",
  number =       "1--2",
  pages =        "3--15",
  day =          "20",
  month =        feb,
  year =         "1995",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/0377-0427(93)E0230-J",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Fri Jun 10 16:19:16 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
  remark =       "Proceeding of the Fourth International Symposium on
                 Orthogonal Polynomials and their Applications",
}

@Article{Boyd:1995:CPI,
  author =       "John P. Boyd",
  title =        "A {Chebyshev} Polynomial Interval-Searching Method
                 (``{Lanczos} Economization'') for Solving a Nonlinear
                 Equation with Application to the Nonlinear Eigenvalue
                 Problem",
  journal =      j-J-COMPUT-PHYS,
  volume =       "118",
  number =       "1",
  pages =        "1--8",
  month =        apr,
  year =         "1995",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1006/jcph.1995.1075",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Mon Jan 2 07:55:01 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0021999185710753",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991",
}

@TechReport{Braconnier:1995:CFV,
  author =       "Thierry Braconnier and Nicholas J. Higham",
  title =        "Computing the Field of Values and Pseudospectra Using
                 the {Lanczos} Method with Continuation",
  type =         "Numerical Analysis Report",
  number =       "279",
  institution =  inst-MCCM,
  address =      inst-MCCM:adr,
  pages =        "20",
  month =        nov,
  year =         "1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Submitted to " # j-BIT,
  bibdate =      "Fri Jun 10 12:38:34 2011",
  acknowledgement = ack-nhfb,
}

@InProceedings{Guarracino:1995:PMB,
  author =       "M. R. Guarracino and F. Perla",
  title =        "A parallel modified block {Lanczos} algorithm for
                 distributed memory architectures",
  crossref =     "IEEE:1995:PEW",
  pages =        "424--431",
  year =         "1995",
  bibdate =      "Sun Dec 22 10:20:45 MST 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Dipartimento di Matematica e Applicazioni, Naples
                 Univ., Italy",
  classification = "C4140 (Linear algebra); C4240P (Parallel programming
                 and algorithm theory); C6110P (Parallel programming)",
  keywords =     "Block column wrap-around matrices; Block Lanczos
                 algorithm; Distributed memory architectures;
                 Eigenproblems; Load-balancing; Parallel block Lanczos
                 algorithm; Parallel software",
  thesaurus =    "Distributed memory systems; Eigenvalues and
                 eigenfunctions; Matrix algebra; Parallel algorithms",
}

@Article{Huckle:1995:LRM,
  author =       "Thomas Huckle",
  title =        "Low-rank modification of the unsymmetric {Lanczos}
                 algorithm",
  journal =      j-MATH-COMPUT,
  volume =       "64",
  number =       "212",
  pages =        "1577--1588",
  month =        oct,
  year =         "1995",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65F10",
  MRnumber =     "95m:65052",
  MRreviewer =   "Colette Lebaud",
  bibdate =      "Tue Mar 25 15:38:13 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Inst. fur Angewandte Math. und Stat., Wurzburg Univ.,
                 Germany",
  classcodes =   "C4140 (Linear algebra); C4130 (Interpolation and
                 function approximation)",
  corpsource =   "Inst. fur Angewandte Math. und Stat., Wurzburg Univ.,
                 Germany",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "algebra; BCG; convergence behavior; eigenvalue
                 estimation; eigenvalues and eigenfunctions; iterative
                 methods; Lanczos based iterative solver; Lanczos
                 vectors; linear equations; low rank modification;
                 matrix; orthogonality; QMR; rank 1 modified matrix;
                 serious breakdown; start vectors; unsymmetric Lanczos
                 algorithm",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Jia:1995:CGL,
  author =       "Zhong Xiao Jia",
  title =        "The Convergence of Generalized {Lanczos} Methods for
                 Large Unsymmetric Eigenproblems",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "16",
  number =       "3",
  pages =        "843--862",
  month =        jul,
  year =         "1995",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479893246753",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F15",
  MRnumber =     "96d:65062",
  MRreviewer =   "Colette Lebaud",
  bibdate =      "Fri Dec 4 12:14:09 MST 1998",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/16/3;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/24675",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@PhdThesis{Lehoucq:1995:AIIa,
  author =       "Richard Bruno Lehoucq",
  title =        "Analysis and implementation of an implicitly restarted
                 {Arnoldi} iteration",
  school =       "Rice University",
  address =      "Houston, TX, USA",
  pages =        "193",
  year =         "1995",
  LCCN =         "????",
  bibdate =      "Thu Jun 9 11:13:14 MDT 2011",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://hdl.handle.net/1911/16844;
                 http://scholarship.rice.edu/bitstream/handle/1911/16844/9610667.PDF",
  abstract =     "The Arnoldi algorithm, or iteration, is a
                 computationally attractive technique for computing a
                 few eigenvalues and associated invariant subspace of
                 large, often sparse, matrices. The method is a
                 generalization of the Lanczos process and reduces to
                 that when the underlying matrix is symmetric. This
                 thesis presents an analysis of Sorensen's Implicitly
                 Re-started Arnoldi iteration, (scIRA-iteration), by
                 exploiting its relationship with the scQR algorithm.
                 The goal of this thesis is to present numerical
                 techniques that attempt to make the scIRA-iteration as
                 robust as the implicitly shifted scQR algorithm. The
                 benefit is that the Arnoldi iteration only requires the
                 computation of matrix vector products w = Av at each
                 step. It does to rely on the dense matrix similarity
                 transformations required by the EISPACK and LAPACK
                 software packages. Five topics form the contribution of
                 this dissertation. The first topic analyzes re-starting
                 the Arnoldi iteration in an implicit or explicit
                 manner. The second topic is the numerical stability of
                 an scIRA-iteration. The forward instability of the scQR
                 algorithm and the various schemes used to re-order the
                 Schur form of a matrix are fundamental to this
                 analysis. A sensitivity analysis of the Hessenberg
                 decomposition is presented. The practical issues
                 associated with maintaining numerical orthogonality
                 among the Arnoldi/Lanczos basis vectors is the third
                 topic. The fourth topic is deflation techniques for an
                 scIRA-iteration. The deflation strategies introduced
                 make it possible to compute multiple or clustered
                 eigenvalues with a single vector re-start method. The
                 block Arnoldi/Lanczos methods commonly used are not
                 required. The final topic is the convergence typical of
                 an scIRA-iteration. Both formal theory and heuristics
                 are provided for making choices that will lead to
                 improved convergence of an scIRA-iteration.",
  acknowledgement = ack-nhfb,
}

@TechReport{Lehoucq:1995:AIIb,
  author =       "R. B. Lehoucq",
  title =        "Analysis and Implementation of an Implicitly Restarted
                 {Arnoldi} Iteration",
  institution =  "Defense Technical Information Center",
  address =      "Ft. Belvoir, VA, USA",
  pages =        "145",
  month =        oct,
  year =         "1995",
  LCCN =         "????",
  bibdate =      "Thu Jun 9 11:13:14 MDT 2011",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://handle.dtic.mil/100.2/ADA445625",
  abstract =     "The Arnoldi algorithm, or iteration, is a
                 computationally attractive technique for computing a
                 few eigenvalues and associated invariant subspace of
                 large, often sparse, matrices. The method is a
                 generalization of the Lanczos process and reduces to
                 that when the underlying matrix is symmetric. This
                 thesis presents an analysis of Sorensen's Implicitly
                 Re-started Arnoldi iteration, (IRA-iteration), by
                 exploiting its relationship with the QR algorithm. The
                 goal of this thesis is to present numerical techniques
                 that attempt to make the IRA-iteration as robust as the
                 implicitly shifted QR algorithm. The benefit is that
                 the Arnoldi iteration only requires the computation of
                 matrix vector products (pi = Av) at each step. It does
                 not rely on the dense matrix similarity transformations
                 required by the EISPACK and LAPACK software packages.
                 Five topics form the contribution of this dissertation.
                 The first topic analyzes re-starting the Arnoldi
                 iteration in an implicit or explicit manlier. The
                 second topic is the numerical stability of an
                 IRA-iteration. The forward instability of the QR
                 algorithm and the various schemes used to re-order the
                 Schur form of a matrix are fundamental to this
                 analysis. A sensitivity analysis of the Hessenberg
                 decomposition is presented. The practical issues
                 associated with maintaining numerical orthogonality
                 among the Arnoldi/Lanczos basis vectors is the third
                 topic. The fourth topic is deflation techniques for an
                 IRA-iteration. The deflation strategies introduced make
                 it possible to compute multiple or clustered
                 eigenvalues with a single vector re-start method. The
                 block Arnoldi/Lanczos methods commonly used are not
                 required. The final topic is the convergence typical of
                 an IRA-iteration. Both formal theory and heuristics are
                 provided for making choices that will lead to improved
                 convergence of an IRA-iteration.",
  acknowledgement = ack-nhfb,
  remark =       "Additional contract number is DAAL03-91-C-0047.",
  subject =      "Theoretical Mathematics; Operations Research;
                 Algorithms; Eigenvalues; Heuristic methods; Numerical
                 methods and procedures; Computer programs;
                 Decomposition; Orthogonality; Instability; Stability;
                 Forward areas; Numerical analysis; Theses",
}

@TechReport{Marques:1995:SPC,
  author =       "Osni A. Marques and Vincent Toumazou",
  title =        "Spectral Portrait Computation by a {Lanczos} Method
                 (Augmented Matrix Version)",
  type =         "Technical Report",
  number =       "TR/PA/95/05",
  institution =  "CERFACS",
  address =      "Toulouse, France",
  pages =        "????",
  month =        feb,
  year =         "1995",
  bibdate =      "Fri Jun 10 12:38:34 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Montgomery:1995:BLA,
  author =       "Peter L. Montgomery",
  title =        "A Block {Lanczos} Algorithm for Finding Dependencies
                 over {{\em GF\/}$ (2) $}",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "921",
  pages =        "106--??",
  year =         "1995",
  CODEN =        "LNCSD9",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  bibdate =      "Tue Feb 5 11:49:38 MST 2002",
  bibsource =    "http://link.springer-ny.com/link/service/series/0558/tocs/t0921.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://link.springer-ny.com/link/service/series/0558/bibs/0921/09210106.htm;
                 http://link.springer-ny.com/link/service/series/0558/papers/0921/09210106.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Lecture Notes in Computer Science",
  journal-URL =  "http://link.springer.com/bookseries/558",
}

@TechReport{Sorensen:1995:IRAa,
  author =       "Danny C. Sorensen",
  title =        "Implicitly Restarted {Arnoldi\slash Lanczos} Methods
                 for Large Scale Eigenvalue Calculation",
  type =         "Report",
  number =       "??",
  institution =  "Department of Computational and Applied Mathematics,
                 Rice University",
  address =      "Houston, TX 77251-1829",
  day =          "25",
  month =        oct,
  year =         "1995",
  bibdate =      "Thu Jun 09 11:39:01 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://people.sc.fsu.edu/~jburkardt/pdf/arpack_ref.pdf",
  acknowledgement = ack-nhfb,
}

@InProceedings{Sorensen:1995:IRAb,
  author =       "D. C. Sorensen",
  title =        "Implicitly restarted {Arnoldi\slash Lanczos} methods
                 and large scale {SVD} applications",
  crossref =     "Moonen:1995:SSP",
  pages =        "21--31",
  year =         "1995",
  DOI =          "https://doi.org/10.1016/B978-044482107-2/50003-0",
  bibdate =      "Fri Jun 10 17:21:10 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Szularz:1995:MCL,
  author =       "M. Szularz and J. Weston and K. Murphy and M. Clint",
  title =        "Monitoring the Convergence of the {Lanczos} Algorithm
                 in Parallel Computing Environments",
  journal =      j-PARALLEL-ALGORITHMS-APPL,
  volume =       "6",
  number =       "4",
  pages =        "287--302",
  month =        sep,
  year =         "1995",
  CODEN =        "PAAPEC",
  DOI =          "https://doi.org/10.1080/10637199508915516",
  ISSN =         "1063-7192",
  ISSN-L =       "1026-7689",
  bibdate =      "Fri Jul 11 06:45:42 MDT 2008",
  bibsource =    "http://www.infc.ulst.ac.uk/~jweston/jw.papers.html;
                 http://www.infc.ulst.ac.uk/~jweston/jw.progress.html;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.informaworld.com/smpp/content~content=a772403915",
  acknowledgement = ack-nhfb,
  fjournal =     "Parallel Algorithms and Applications",
  journal-URL =  "http://www.tandfonline.com/loi/gpaa20",
}

@Article{TorresdelCastillo:1995:LPS,
  author =       "G. F. {Torres del Castillo}",
  title =        "{Lanczos} potential for some type {$D$} space-times",
  journal =      j-J-MATH-PHYS,
  volume =       "36",
  number =       "1",
  pages =        "195--200",
  month =        jan,
  year =         "1995",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.531300",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  MRclass =      "83C20 (83C22)",
  MRnumber =     "96b:83025",
  MRreviewer =   "J. D. Finley, III",
  bibdate =      "Fri Jan 2 07:23:17 MST 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
}

@Article{vanderVeen:1995:BLP,
  author =       "H. I. van der Veen and K. Vuik",
  title =        "Bi-{Lanczos} with partial orthogonalization",
  journal =      j-COMP-STRUCTURES,
  volume =       "56",
  number =       "4",
  pages =        "605--613",
  day =          "17",
  month =        aug,
  year =         "1995",
  CODEN =        "CMSTCJ",
  DOI =          "https://doi.org/10.1016/0045-7949(94)00565-K",
  ISSN =         "0045-7949 (print), 1879-2243 (electronic)",
  ISSN-L =       "0045-7949",
  bibdate =      "Fri Jun 10 16:45:35 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Structures",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00457949",
}

@Article{Zhang:1995:TMAa,
  author =       "J. Zhang and J. A. Belward",
  title =        "Tau-method approximations for the {Bessel} function {$
                 Y_0 (z) $}",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "30",
  number =       "7",
  pages =        "5--14",
  month =        oct,
  year =         "1995",
  CODEN =        "CMAPDK",
  DOI =          "https://doi.org/10.1016/0898-1221(95)00120-N",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Wed Mar 1 21:48:21 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/089812219500120N",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
}

@Article{Zhang:1995:TMAb,
  author =       "J. Zhang",
  title =        "Tau-method approximations for the {Bessel} function {$
                 Y_1 (z) $}",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "30",
  number =       "7",
  pages =        "15--19",
  month =        oct,
  year =         "1995",
  CODEN =        "CMAPDK",
  DOI =          "https://doi.org/10.1016/0898-1221(95)00121-E",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Wed Mar 1 21:48:21 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/089812219500121E",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
  remark =       "From p. 18 (conclusions section), ``We may use this
                 method to approximate the Bessel functions of other
                 integer orders. \ldots{} It is therefore advisable to
                 use the recurrence relations of the Bessel functions to
                 compute function values for $ n > 1 $ \ldots''. [This
                 is a similar limitation as with Chebyshev and minimax
                 polynomial approximations: they are valid only for a
                 single order the Bessel function.]",
}

@Article{Braconnier:1996:CFV,
  author =       "Thierry Braconnier and Nicholas J. Higham",
  title =        "Computing the Field of Values and Pseudospectra Using
                 the {Lanczos} Method with Continuation",
  journal =      j-BIT-NUM-MATH,
  volume =       "36",
  number =       "3",
  pages =        "422--440",
  month =        sep,
  year =         "1996",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/BF01731925",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65F15",
  MRnumber =     "97d:65015",
  bibdate =      "Wed Jan 4 18:52:24 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=36&issue=3;
                 https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  note =         "International Linear Algebra Year (Toulouse, 1995).",
  URL =          "http://www.mai.liu.se/BIT/contents/bit36.html;
                 http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=36&issue=3&spage=422",
  acknowledgement = ack-njh # " and " # ack-nhfb,
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Article{Braun:1996:ECL,
  author =       "M. Braun and S. A. Sofianos and D. G. Papageorgiou and
                 I. E. Lagaris",
  title =        "An Efficient {Chebyshev--Lanczos} Method for Obtaining
                 Eigensolutions of the {Schr{\"o}dinger} Equation on a
                 Grid",
  journal =      j-J-COMPUT-PHYS,
  volume =       "126",
  number =       "2",
  pages =        "315--327",
  month =        jul,
  year =         "1996",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1006/jcph.1996.0140",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Mon Jan 2 07:55:10 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0021999196901400",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991",
}

@Article{Brezinski:1996:MVL,
  author =       "C. Brezinski",
  title =        "The Methods of {Vorobyev} and {Lanczos}",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "234",
  number =       "1--3",
  pages =        "21--41",
  day =          "??",
  month =        feb,
  year =         "1996",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F30 (41A05)",
  MRnumber =     "96i:65027",
  MRreviewer =   "Marc Van Barel",
  bibdate =      "Sat May 29 08:35:13 MDT 1999",
  bibsource =    "http://www.elsevier.com/locate/laa;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.elsevier.com/cgi-bin/cas/tree/store/laa/cas_sub/browse/browse.cgi?year=1996&volume=234&issue=1-3&aid=9400081",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Cullum:1996:AVN,
  author =       "Jane Cullum",
  title =        "{Arnoldi} versus nonsymmetric {Lanczos} algorithms for
                 solving matrix eigenvalue problems",
  journal =      j-BIT-NUM-MATH,
  volume =       "36",
  number =       "3",
  pages =        "470--493",
  month =        sep,
  year =         "1996",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/BF01731928",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65F15",
  MRnumber =     "97f:65027",
  bibdate =      "Wed Jan 4 18:52:24 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=36&issue=3;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  note =         "International Linear Algebra Year (Toulouse, 1995).",
  URL =          "http://www.mai.liu.se/BIT/contents/bit36.html;
                 http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=36&issue=3&spage=470",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Article{Freund:1996:SSL,
  author =       "Roland W. Freund and No{\"e}l M. Nachtigal",
  title =        "Software for simplified {Lanczos} and {QMR}
                 algorithms",
  journal =      j-APPL-NUM-MATH,
  volume =       "19",
  number =       "3",
  pages =        "319--341",
  day =          "15",
  month =        jan,
  year =         "1996",
  CODEN =        "ANMAEL",
  DOI =          "https://doi.org/10.1016/0168-9274(95)00089-5",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  ISSN-L =       "0168-9274",
  MRclass =      "65Fxx",
  MRnumber =     "1 374 355",
  bibdate =      "Wed Jul 28 14:36:16 MDT 1999",
  bibsource =    "http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_free/browse/browse.cgi?year=1996&volume=19&issue=3;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Special issue on iterative methods for linear
                 equations (Atlanta, GA, 1994).",
  URL =          "http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_sub/browse/browse.cgi?year=1996&volume=19&issue=3&aid=637",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Numerical Mathematics: Transactions of IMACS",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01689274",
}

@Article{Gallivan:1996:RLA,
  author =       "K. Gallivan and E. Grimme and P. {Van Dooren}",
  title =        "A rational {Lanczos} algorithm for model reduction",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "12",
  number =       "1--2",
  pages =        "33--63",
  month =        apr,
  year =         "1996",
  CODEN =        "NUALEG",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "65F15 (65G05)",
  MRnumber =     "1 423 547",
  bibdate =      "Wed Feb 7 07:37:21 MST 2001",
  bibsource =    "http://www.math.psu.edu/dna/contents/na.html;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  ZMnumber =     "870.65053",
  acknowledgement = ack-nhfb,
  classification = "C1310 (Control system analysis and synthesis
                 methods); C1340B (Multivariable control systems); C4130
                 (Interpolation and function approximation)",
  corpsource =   "Coordinated Sci. Lab., Illinois Univ., Urbana, IL,
                 USA",
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
  keywords =     "convergence; exact expression; interpolant;
                 interpolation; Lanczos type approach; large scale
                 linear systems; large-scale systems; model reduction
                 method; multi point Pade approximant; nonsymmetric
                 Lanczos method; rational interpolant; rational
                 interpolation; rational Lanczos; rational Lanczos
                 algorithm; rational Lanczos method; reduced order
                 systems; single point Lanczos approaches; state space
                 systems; state-space methods",
  pubcountry =   "Switzerland",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Garzon:1996:PIL,
  author =       "E. M. Garzon and I. Garcia",
  title =        "Parallel Implementation of the {Lanczos} Method for
                 Sparse Matrices: Analysis of Data Distributions",
  crossref =     "ACM:1996:FCP",
  pages =        "294--300",
  year =         "1996",
  bibdate =      "Wed Mar 18 12:33:18 MST 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  annote =       "Also known as ICS'96. Held as part of the Federated
                 computing research conference (FCRC'96)",
  keywords =     "ACM; architecture; computer; FCRC; ICS; SIGARCH;
                 supercomputing",
}

@Article{Grimme:1996:MRS,
  author =       "E. J. Grimme and D. C. Sorensen and P. {Van Dooren}",
  title =        "Model reduction of state space systems via an
                 implicitly restarted {Lanczos} method",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "12",
  number =       "1--2",
  pages =        "1--31",
  month =        apr,
  year =         "1996",
  CODEN =        "NUALEG",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "65F15 (65G05)",
  MRnumber =     "1 423 546",
  bibdate =      "Fri Nov 6 18:06:29 MST 1998",
  bibsource =    "http://www.math.psu.edu/dna/contents/na.html;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  classification = "C1310 (Control system analysis and synthesis
                 methods); C1340B (Multivariable control systems); C4140
                 (Linear algebra)",
  corpsource =   "Coordinated Sci. Lab., Illinois Univ., Urbana, IL,
                 USA",
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
  keywords =     "eigenvalues; eigenvalues and eigenfunctions; implicit
                 restarting; implicitly restarted Lanczos method;
                 inexpensive implicit restarts; Lanczos generated model;
                 large scale systems; large-scale systems; model
                 reduction technique; nonsymmetric Lanczos method;
                 reduced order systems; SISO; state space systems;
                 state-space methods; unstable partial realization",
  pubcountry =   "Switzerland",
  treatment =    "T Theoretical or Mathematical",
}

@InCollection{Higham:1996:CCL,
  author =       "Nicholas J. Higham",
  editor =       "M. Chu and others",
  booktitle =    "The {Lanczos} Collected Papers with Commentaries",
  title =        "{Commentary on C. Lanczos, ``Introduction'' to
                 ``Tables of Chebyshev Polynomials $ S_n(x) $ and $
                 C_n(x) $'', Nat.\ Bur.\ Stand., Appl.\ Math.\ Series 9,
                 1952, v--xxvi}",
  publisher =    "????",
  address =      "????",
  pages =        "??--??",
  year =         "1996",
  bibdate =      "Fri Jun 10 12:38:34 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "To appear",
  acknowledgement = ack-nhfb,
}

@Article{Isaacson:1996:BRP,
  author =       "Eugene Isaacson",
  title =        "Book Reviews: {{\em Proceedings of the Cornelius
                 Lanczos international centenary conference}}, by {J.
                 David Brown}, {Moody T. Chu}, {Donald C. Ellison} and
                 {Robert J. Plemmons}",
  journal =      j-MATH-COMPUT,
  volume =       "65",
  number =       "213",
  pages =        "423--435",
  month =        jan,
  year =         "1996",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Mon Jul 26 12:07:20 1999",
  bibsource =    "http://www.ams.org/mcom/1996-65-213;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-96-00666-7&u=/mcom/1996-65-213/",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  xxpages =      "429--443",
}

@InProceedings{Leyk:1996:ILM,
  author =       "Z. Leyk and M. R. Osborne",
  title =        "Implementation of the {Lanczos} Method for Solving
                 Eigenproblems on the {VPP500} Supercomputer",
  crossref =     "May:1996:CTA",
  pages =        "487--494",
  year =         "1996",
  bibdate =      "Wed Mar 18 12:33:18 MST 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Marx:1996:MMG,
  author =       "George Marx",
  title =        "The myth of the {Martians} and the golden age of
                 {Hungarian} science",
  journal =      j-SCI-EDUC-SPRINGER,
  volume =       "5",
  number =       "3",
  pages =        "225--234",
  month =        jul,
  year =         "1996",
  CODEN =        "SCEDE9",
  DOI =          "https://doi.org/10.1007/BF00414313",
  ISSN =         "0926-7220 (print), 1573-1901 (electronic)",
  ISSN-L =       "0926-7220",
  bibdate =      "Mon Jun 19 11:33:04 MDT 2017",
  bibsource =    "http://link.springer.com/journal/11191/5/3;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fermi-enrico.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/szilard-leo.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/teller-edward.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib;
                 https://www.math.utah.edu/pub/tex/bib/sci-educ-springer.bib",
  URL =          "http://adsabs.harvard.edu/abs/1996Sc%26Ed...5..225M",
  abstract =     "Enrico Fermi was a man with outstanding talents, he
                 had many interests outside his own particular field. He
                 was credited with asking famous questions. There are
                 long preambles to Fermi's questions like this: --- `The
                 universe is vast, containing myriads of stars, many of
                 them not unlike our Sun. Many of these stars are likely
                 to have planets circling around them. A fair fraction
                 of these planets will have liquid water on their
                 surface and a gaseous atmosphere. The energy pouring
                 down from a star will cause the synthesis of organic
                 compounds, turning the ocean into a thin, warm soup.
                 These chemicals will join each other to produce a
                 self-reproducing system. The simplest living things
                 will multiply, and evolve by natural selection and
                 become more complicated. And eventually active,
                 thinking creatures will emerge. Civilization, science
                 and technology will follow. Then, yearning for fresh
                 worlds, they will travel to neighboring planets, and
                 later to planets of nearby stars. Eventually they
                 should spread out all over the Galaxy. These highly
                 exceptional and talented people could hardly overlook
                 such a beautiful place as our Earth'. And so Fermi came
                 to his overwhelming question, --- `If all this has been
                 happening, they should have arrived here by now, so
                 where are they?' It was Leo Szilard, a man with an
                 impish sense of humor who supplied the perfect reply to
                 Fermi's rhetoric: `They are among us', he said, `but
                 they call themselves Hungarians'.",
  acknowledgement = ack-nhfb,
  fjournal =     "Science \& Education (Springer)",
  journal-URL =  "http://link.springer.com/journal/11191",
  keywords =     "Albert Szent-Gyorgyi; Andrew Graf (later Grove);
                 Arthur Koestler; Baron Jozsef E{\"o}tv{\"o}s; Baron
                 Roland E{\"o}tv{\"o}s; Charles Simonyi; Cornelius
                 Lanczos; Dennis Gabor; Edward Teller; Enrico Fermi;
                 Ervin Bauer (husband of Szilard's sister); Eugene
                 Wigner; George de Hevesy; George Soros; George von
                 B{\'e}k{\'e}sy; John G. Kemeny; John von Neumann; Leo
                 Szilard; Leslie Groves; life in the Universe; Martians;
                 Michael Polanyi; Peter Lax; Robert B{\'a}r{\'a}ny;
                 Theodore von Karman; Valentine Telegdi; Zoltan Bay",
  remark =       "Based on the author's book \booktitle{The Voice of the
                 Martians}, Roland E{\"o}tv{\"o}s Physical Society,
                 Budapest, 1994. From page 226: ``The usage of {\em y\/}
                 instead of {\em i\/} at the end of the [Hungarian]
                 family name indicates a nobleman, like {\em von\/} in
                 German or {\em de\/} in Italian.''",
}

@Article{Murphy:1996:CPE,
  author =       "K. Murphy and M. Clint and M. Szularz and J. Weston",
  title =        "The Computation of Partial Eigensolutions on a
                 Distributed Memory Machine Using a Modified {Lanczos}
                 Method",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "1124",
  pages =        "22--??",
  year =         "1996",
  CODEN =        "LNCSD9",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  bibdate =      "Tue Oct 29 14:12:39 MST 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Lecture Notes in Computer Science",
  journal-URL =  "http://link.springer.com/bookseries/558",
}

@MastersThesis{Radke:1996:MII,
  author =       "Richard Joseph Radke",
  title =        "A {Matlab} implementation of the {Implicitly Restarted
                 Arnoldi Method} for solving large-scale eigenvalue
                 problems",
  school =       "Rice University",
  address =      "Houston, TX, USA",
  pages =        "94",
  year =         "1996",
  LCCN =         "????",
  bibdate =      "Thu Jun 9 11:13:14 MDT 2011",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://hdl.handle.net/1911/14054;
                 http://scholarship.rice.edu/bitstream/handle/1911/14054/1379511.PDF",
  abstract =     "This thesis describes a Matlab implementation of the
                 Implicitly Restarted Arnoldi Method for computing a few
                 selected eigenvalues of large structured matrices.
                 Shift-and-invert methods allow the calculation of the
                 eigenvalues nearest any point in the complex plane, and
                 polynomial acceleration techniques aid in computing
                 eigenvalues of operators which are defined by m-files
                 instead of Matlab matrices. These new Matlab functions
                 will be incorporated into the upcoming version 5 of
                 Matlab and will greatly extend Matlab's capability to
                 deal with many real-world eigenvalue problems that were
                 intractable in version 4. The thesis begins with a
                 discussion of the Implicitly Restarted Arnoldi Method.
                 The bulk of the thesis is a user's manual for the
                 Matlab functions which implement this algorithm. The
                 user's guide not only describes the functions' syntax
                 and structure but also discusses some of the
                 difficulties that were overcome during their
                 development. The thesis concludes with several examples
                 of the functions applied to realistic test problems
                 which illustrate the versatility and power of this new
                 tool.",
  acknowledgement = ack-nhfb,
  advisor =      "Danny C. Sorensen",
}

@Article{Schuele:1996:PLA,
  author =       "J. Schuele",
  title =        "Parallel {Lanczos} Algorithm on a {CRAY-T3D} Combining
                 {PVM} and {SHMEM} Routines",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "1156",
  pages =        "158--??",
  month =        "????",
  year =         "1996",
  CODEN =        "LNCSD9",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  bibdate =      "Sat Dec 21 09:47:26 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Lecture Notes in Computer Science",
  journal-URL =  "http://link.springer.com/bookseries/558",
}

@InProceedings{Schule:1996:PLA,
  author =       "J. Schule",
  title =        "Parallel {Lanczos} algorithm on a {CRAY-T3D} combining
                 {PVM} and {SHMEM} routines",
  crossref =     "Bode:1996:PVM",
  pages =        "158--165",
  year =         "1996",
  bibdate =      "Wed Apr 16 06:39:19 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  classification = "A7130 (Metal-insulator transitions); A7155J
                 (Localization in disordered structures); C4140 (Linear
                 algebra); C6110P (Parallel programming); C7320 (Physics
                 and chemistry computing)",
  corpsource =   "Inst. for Sci. Comput., Braunschweig, Germany",
  keywords =     "Anderson model; Anderson-; arithmetic; coarse-grain;
                 Cray computers; CRAY-; cubic tungsten bronzes; data
                 distribution; dynamic group; effectiveness;
                 eigenfunctions; eigenvalues and; eigenvector
                 calculation; fine-grain; finite precision; Hamiltonian
                 matrix; HF calculations; Hubbard model; iterations;
                 iterative; Krylov sequence; load imbalance; machines;
                 master-slave paradigm; matrix algebra; membership;
                 metal-insulator transition; methods; Mott-Hubbard
                 model; NaWO$_3$; parallel algorithms; parallel Lanczos
                 algorithm; parallelisation strategies; parallelism;
                 physics computing; PVM; resource allocation; rounding
                 errors; roundoff errors; SHMEM routines; sodium
                 compounds; software development costs; stochastic
                 distributions; subroutines; T3D; tridiagonalisation;
                 unrestricted Hartree-Fock approach; virtual",
  pubcountry =   "Germany",
  treatment =    "P Practical",
}

@Article{Singh:1996:ASL,
  author =       "R. K. Singh and H. A. Smith and D. C. Sorensen",
  title =        "Application of $k$-Step {Lanczos} Method to Extract
                 the Interior Eigenvalues of Skeletal Systems",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "39",
  number =       "4",
  pages =        "705--716",
  day =          "28",
  month =        feb,
  year =         "1996",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/(SICI)1097-0207(19960229)39",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "4 Dec 1998",
}

@TechReport{Sorensen:1996:IRAa,
  author =       "D. C. (Danny C.) Sorensen",
  title =        "Implicitly restarted {Arnoldi\slash Lanczos} methods
                 for large scale eigenvalue calculations",
  number =       "198342 (NASA), 96-40 (ICASE)",
  institution =  "National Aeronautics and Space Administration, Langley
                 Research Center",
  address =      "Hampton, VA, USA",
  pages =        "????",
  year =         "1996",
  LCCN =         "????",
  bibdate =      "Thu Jun 9 11:04:11 MDT 2011",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  series =       "NASA contractor report; ICASE report",
  acknowledgement = ack-nhfb,
  remark =       "Shipping list number 98-1098-M.",
  subject =      "Computer programming. Computer systems performance.
                 Linear operators. Software engineering. Numerical
                 analysis. Applications of mathematics. Computer
                 programming; Linear operators; Software engineering;
                 Numerical analysis; Applications of mathematics",
}

@TechReport{Sorensen:1996:IRAb,
  author =       "Danny C. Sorensen",
  title =        "Implicitly Restarted {Arnoldi}",
  institution =  "Defense Technical Information Center",
  address =      "Ft. Belvoir, VA, USA",
  pages =        "37",
  month =        may,
  year =         "1996",
  LCCN =         "????",
  bibdate =      "Thu Jun 9 11:04:11 MDT 2011",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://handle.dtic.mil/100.2/ADA313185",
  abstract =     "Eigenvalues and eigenfunctions of linear operators are
                 important to many areas of applied mathematics. The
                 ability to approximate these quantities numerically is
                 becoming increasingly important in a wide variety of
                 applications. This increasing demand has fueled
                 interest in the development of new methods and software
                 for the numerical solution of large-scale algebraic
                 eigenvalue problems. In turn, the existence of these
                 new methods and software, along with the dramatically
                 increased computational capabilities now available, has
                 enabled the solution of problems that would not even
                 have been posed five or ten years ago. Until very
                 recently, software for large-scale nonsymmetric
                 problems was virtually non-existent. Fortunately, the
                 situation is improving rapidly. The purpose of this
                 article is to provide an overview of the numerical
                 solution of large-scale algebraic eigenvalue problems.
                 The focus will be on a class of methods called Krylov
                 subspace projection methods. The well-known Lanczos
                 method is the premier member of this class. The Arnoldi
                 method generalizes the Lanczos method to the
                 nonsymmetric case. A recently developed variant of the
                 Arnoldi/Lanczos scheme called the Implicitly Restarted
                 Arnoldi Method is presented here in some depth. This
                 method is highlighted because of its suitability as a
                 basis for software development.",
  acknowledgement = ack-nhfb,
  subject =      "Theoretical Mathematics. Computations. Eigenvalues.
                 Computer programs. Algebra. Numerical analysis.
                 Eigenvectors. Problem solving. Solutions(general)
                 Asymmetry. Approximation(mathematics) Linearity.
                 Operators(mathematics) Applied mathematics",
}

@Article{Szularz:1996:HPE,
  author =       "M. Szularz and J. Weston and M. Clint and K. Murphy",
  title =        "A Highly Parallel Explicitly Restarted {Lanczos}
                 Algorithm",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "1184",
  pages =        "651--??",
  year =         "1996",
  CODEN =        "LNCSD9",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  bibdate =      "Fri Aug 22 11:59:49 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Lecture Notes in Computer Science",
  journal-URL =  "http://link.springer.com/bookseries/558",
}

@Article{Webster:1996:PBL,
  author =       "Frank Webster and Gen-Ching Lo",
  title =        "Projective Block {Lanczos} Algorithm for Dense,
                 {Hermitian} Eigensystems",
  journal =      j-J-COMPUT-PHYS,
  volume =       "124",
  number =       "1",
  pages =        "146--161",
  day =          "1",
  month =        mar,
  year =         "1996",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1006/jcph.1996.0050",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Mon Jan 2 07:55:07 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0021999196900509",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991",
}

@Article{Ye:1996:ABL,
  author =       "Qiang Ye",
  title =        "An adaptive block {Lanczos} algorithm",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "12",
  number =       "1--2",
  pages =        "97--110",
  month =        apr,
  year =         "1996",
  CODEN =        "NUALEG",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "65F15",
  MRnumber =     "1 423 550",
  bibdate =      "Fri Nov 6 18:06:29 MST 1998",
  bibsource =    "http://www.math.psu.edu/dna/contents/na.html;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  classification = "C1110 (Algebra); C4130 (Interpolation and function
                 approximation); C4140 (Linear algebra); C4240
                 (Programming and algorithm theory)",
  corpsource =   "Dept. of Appl. Math., Manitoba Univ., Winnipeg, Man.,
                 Canada",
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
  keywords =     "adaptive algorithm; adaptive block Lanczos algorithm;
                 adaptive estimation; algorithm theory; block size;
                 clustered eigenvalue; clustered eigenvalues;
                 eigenvalues and eigenfunctions; iteration; iterative
                 methods; matrix algebra; misconvergence; multiple
                 eigenvalues; residual bounds; Ritz value",
  pubcountry =   "Switzerland",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Zhang:1996:NTM,
  author =       "J. Zhang",
  title =        "A note on the tau-method approximations for the
                 {Bessel} functions {$ Y_0 (z) $} and {$ Y_1 (z) $}",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "31",
  number =       "9",
  pages =        "63--70",
  month =        may,
  year =         "1996",
  CODEN =        "CMAPDK",
  DOI =          "https://doi.org/10.1016/0898-1221(96)00043-0",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Wed Mar 1 21:48:28 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0898122196000430",
  abstract =     "This paper is to complete and improve the work
                 reported in [1,2], using the Lanczos $ \tau $-method
                 (in Coleman's version) to approximate the Bessel
                 functions $ Y_0 (z) $ and $ Y_1 (z) $. We introduce
                 symbolic representations of the scaled Faber
                 polynomials on any fan-shaped section of the complex
                 plane. These Faber polynomials are used as the
                 perturbation terms in the $ \tau $-method. Numerical
                 comparison among the power series, the Chebyshev series
                 and the $ \tau $-method are conducted to show the
                 accuracy improvement achieved by this new version of
                 the $ \tau $-method. Some concluding remarks and
                 suggestions on future research are given.",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
  keywords =     "Automated $\tau$-method; Bessel functions; Chebyshev
                 series; Symbolic Faber polynomials",
}

@Article{Aliaga:1997:PIG,
  author =       "J. I. Aliaga and V. Hernandez and J. L. Perez",
  title =        "A Parallel Implementation of the General {Lanczos}
                 Method on the {Cray T3D}",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "1215",
  pages =        "168--??",
  year =         "1997",
  CODEN =        "LNCSD9",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  bibdate =      "Fri Aug 22 11:59:49 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Lecture Notes in Computer Science",
  journal-URL =  "http://link.springer.com/bookseries/558",
}

@Article{Basermann:1997:CGL,
  author =       "A. Basermann",
  title =        "Conjugate Gradient and {Lanczos} Methods for Sparse
                 Matrices on Distributed Memory Multiprocessors",
  journal =      j-J-PAR-DIST-COMP,
  volume =       "45",
  number =       "1",
  pages =        "46--52",
  day =          "25",
  month =        aug,
  year =         "1997",
  CODEN =        "JPDCER",
  DOI =          "https://doi.org/10.1006/jpdc.1997.1364",
  ISSN =         "0743-7315 (print), 1096-0848 (electronic)",
  ISSN-L =       "0743-7315",
  bibdate =      "Thu Mar 9 09:19:03 MST 2000",
  bibsource =    "http://www.idealibrary.com/servlet/useragent?func=showAllIssues&curIssueID=jpdc;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.idealibrary.com/links/doi/10.1006/jpdc.1997.1364/production;
                 http://www.idealibrary.com/links/doi/10.1006/jpdc.1997.1364/production/pdf;
                 http://www.idealibrary.com/links/doi/10.1006/jpdc.1997.1364/production/ref",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Parallel and Distributed Computing",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07437315",
}

@Article{Benner:1997:IRS,
  author =       "Peter Benner and Heike Fa{\ss}bender",
  title =        "An Implicitly Restarted Symplectic {Lanczos} Method
                 for the {Hamiltonian} Eigenvalue Problem",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "263",
  number =       "1--3",
  pages =        "75--111",
  day =          "15",
  month =        sep,
  year =         "1997",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F15 (15A18); 65Fxx (15A18)",
  MRnumber =     "98f:65039; 1 453 966",
  MRreviewer =   "Lars Eld{\'e}n",
  bibdate =      "Fri May 28 11:36:55 MDT 1999",
  bibsource =    "http://www.elsevier.com/locate/laa;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.elsevier.com/cgi-bin/cas/tree/store/laa/cas_sub/browse/browse.cgi?year=1997&volume=263&issue=1-3&aid=9600524",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Bergqvist:1997:LPK,
  author =       "G{\"o}ran Bergqvist",
  title =        "A {Lanczos} potential in {Kerr} geometry",
  journal =      j-J-MATH-PHYS,
  volume =       "38",
  number =       "6",
  pages =        "3142--3154",
  month =        jun,
  year =         "1997",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.532040",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  MRclass =      "83C15",
  MRnumber =     "98a:83020",
  MRreviewer =   "Simonetta Frittelli",
  bibdate =      "Fri Jan 2 07:23:17 MST 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
}

@Article{Besalu:1997:IMS,
  author =       "Emili Besal{\'u} and Ramon Carb{\'o} Dorca",
  title =        "An iterative method to solve the algebraic eigenvalue
                 problem",
  journal =      j-J-MATH-CHEM,
  volume =       "21",
  number =       "4",
  pages =        "395--412",
  month =        "????",
  year =         "1997",
  CODEN =        "JMCHEG",
  DOI =          "https://doi.org/10.1023/A:1019103309814",
  ISSN =         "0259-9791 (print), 1572-8897 (electronic)",
  ISSN-L =       "0259-9791",
  bibdate =      "Fri Jun 10 22:18:16 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  abstract =     "An iterative method based on perturbation theory in
                 matrix form is described as a procedure to obtain the
                 eigenvalues and eigenvectors of square matrices.
                 Practical vector notation and elementary schematic
                 algorithm codes are given. The particular programming
                 characteristics of the present computational scheme are
                 based upon eigenvector corrections, obtained through a
                 simple Rayleigh--Schr{\"o}dinger perturbation theory
                 algorithm. The proposed methodological processes can be
                 used to evaluate the eigensystem of large matrices.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Chemistry",
  journal-URL =  "http://link.springer.com/journal/10910",
}

@InBook{Bultheel:1997:LA,
  author =       "Adhemar Bultheel and Marc van Barel",
  booktitle =    "Linear algebra, rational approximation, and orthogonal
                 polynomials",
  title =        "{Lanczos} algorithm",
  chapter =      "3",
  volume =       "6",
  publisher =    pub-ELSEVIER,
  address =      pub-ELSEVIER:adr,
  bookpages =    "xvii + 446",
  pages =        "99--133",
  year =         "1997",
  ISBN =         "0-444-82872-9",
  ISBN-13 =      "978-0-444-82872-9",
  LCCN =         "QA242 .B88 1997",
  bibdate =      "Fri Jun 10 16:50:42 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Studies in computational mathematics",
  URL =          "http://www.loc.gov/catdir/enhancements/fy0601/97040610-d.html",
  acknowledgement = ack-nhfb,
  subject =      "Euclidean algorithm; algebras, linear; Pad{\'e}
                 approximant; orthogonal polynomials",
}

@Article{Bunchaft:1997:SEL,
  author =       "M. E. Froes Bunchaft",
  title =        "Some extensions of the {Lanczos--Ortiz} theory of
                 canonical polynomials in the {Tau Method}",
  journal =      j-MATH-COMPUT,
  volume =       "66",
  number =       "218",
  pages =        "609--621",
  month =        apr,
  year =         "1997",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65L05 (65L10)",
  MRnumber =     "1 397 440",
  bibdate =      "Fri Jul 16 10:38:42 MDT 1999",
  bibsource =    "http://www.ams.org/mcom/1997-66-218;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-97-00816-8&u=/mcom/1997-66-218/",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{Chen:1997:DEL,
  author =       "Rongqing Chen and Hua Guo",
  title =        "Determination of Eigenstates via {Lanczos}-Based
                 Forward Substitution and Filter-Diagonalization",
  journal =      j-J-COMPUT-PHYS,
  volume =       "136",
  number =       "2",
  pages =        "494--502",
  day =          "15",
  month =        sep,
  year =         "1997",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1006/jcph.1997.5777",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Mon Jan 2 07:55:20 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0021999197957776",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991",
}

@Article{Chien:1997:LTM,
  author =       "C.-S. Chien and Z.-L. Weng and C.-L. Shen",
  title =        "{Lanczos}-type Methods for Continuation Problems",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "4",
  number =       "1",
  pages =        "23--41",
  month =        jan # "\slash " # feb,
  year =         "1997",
  CODEN =        "NLAAEM",
  DOI =          "https://doi.org/10.1002/(SICI)1099-1506(199701/02)4",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  MRclass =      "65H10",
  MRnumber =     "97m:65099",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www3.interscience.wiley.com/journalfinder.html",
  URL =          "http://www3.interscience.wiley.com/cgi-bin/abstract?ID=15001012;
                 http://www3.interscience.wiley.com/cgi-bin/fulltext?ID=15001012&PLACEBO=IE.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Linear Algebra with Applications",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
  onlinedate =   "31 Dec 1998",
}

@Article{Day:1997:EIN,
  author =       "David Day",
  title =        "An Efficient Implementation of the Nonsymmetric
                 {Lanczos} Algorithm",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "18",
  number =       "3",
  pages =        "566--589",
  month =        jul,
  year =         "1997",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479895292503",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F15",
  MRnumber =     "1 453 541",
  bibdate =      "Fri Dec 4 12:14:09 MST 1998",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/18/3;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/29250",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@InProceedings{Eberly:1997:RLA,
  author =       "Wayne Eberly and Erich Kaltofen",
  title =        "On randomized {Lanczos} algorithms",
  crossref =     "Kuchlin:1997:IJM",
  pages =        "176--183",
  year =         "1997",
  bibdate =      "Wed Mar 11 18:24:16 MST 1998",
  bibsource =    "http://www.acm.org/pubs/toc/;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.acm.org:80/pubs/citations/proceedings/issac/258726/p176-eberly/",
  acknowledgement = ack-nhfb,
}

@Article{Ferng:1997:NNL,
  author =       "William R. Ferng and Kun-Yi Lin and Wen-Wei Lin",
  title =        "A novel nonsymmetric $ {K \_ } $-{L}{\'a}nczos
                 algorithm for the generalized nonsymmetric $ {K \_ }
                 $-eigenvalue problems",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "252",
  number =       "1--3",
  pages =        "81--105",
  day =          "??",
  month =        feb,
  year =         "1997",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F15",
  MRnumber =     "97k:65090",
  MRreviewer =   "Marc Van Barel",
  bibdate =      "Fri May 28 11:36:31 MDT 1999",
  bibsource =    "http://www.elsevier.com/locate/laa;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.elsevier.com/cgi-bin/cas/tree/store/laa/cas_sub/browse/browse.cgi?year=1997&volume=252&issue=1-3&aid=9600670",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Graves-Morris:1997:LAL,
  author =       "P. R. Graves-Morris",
  title =        "A ``look-around {Lanczos}'' algorithm for solving a
                 system of linear equations",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "15",
  number =       "3--4",
  pages =        "247--274",
  month =        jan,
  year =         "1997",
  CODEN =        "NUALEG",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "65F10 (65B05 65F50)",
  MRnumber =     "98m:65042",
  bibdate =      "Fri Nov 6 18:06:29 MST 1998",
  bibsource =    "http://www.math.psu.edu/dna/contents/na.html;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Hanke:1997:SCR,
  author =       "Martin Hanke",
  title =        "Superlinear convergence rates for the {Lanczos} method
                 applied to elliptic operators",
  journal =      j-NUM-MATH,
  volume =       "77",
  number =       "4",
  pages =        "487--499",
  month =        oct,
  year =         "1997",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65F15 (65N25)",
  MRnumber =     "1 473 393",
  bibdate =      "Sat Jun 6 06:08:59 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://link.springer.de/link/service/journals/00211/bibs/7077004/70770487.htm;
                 http://science.springer.de/nmee/bibs/7077004/70770487.htm",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
}

@InCollection{Higham:1997:CCL,
  author =       "Nicholas J. Higham",
  editor =       "William R. Davis and others",
  booktitle =    "Cornelius Lanczos Collected Published Papers with
                 Commentaries",
  title =        "{Commentary on C. Lanczos, ``Introduction'' to
                 ``Tables of Chebyshev Polynomials $ S_n(x) $ and $
                 C_n(x) $'', Nat.\ Bur.\ Stand., Appl.\ Math.\ Series 9,
                 1952, v--xxvi}",
  volume =       "VI(3)",
  publisher =    "????",
  address =      "????",
  pages =        "557--559",
  year =         "1997",
  bibdate =      "Wed Aug 13 08:39:47 GMT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "To appear.",
  acknowledgement = ack-njh,
  mynote =       "Volume VI, Part 3, pp. 557--559.",
}

@Article{Karlsson:1997:DSA,
  author =       "H. O. Karlsson and G. L. Bendazzoli and O. Goscinski
                 and S. Evangelisti",
  title =        "Density of States of Alternant Cyclic Polyenes
                 {(CH)$_N$} by a Direct {Lanczos} Method",
  journal =      j-IJQC,
  volume =       "63",
  number =       "3",
  pages =        "719--728",
  day =          "5",
  month =        jun,
  year =         "1997",
  CODEN =        "IJQCB2",
  DOI =          "https://doi.org/10.1002/(SICI)1097-461X(1997)63",
  ISSN =         "0020-7608 (print), 1097-461X (electronic)",
  ISSN-L =       "0020-7608",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www3.interscience.wiley.com/journalfinder.html",
  URL =          "http://www3.interscience.wiley.com/cgi-bin/abstract?ID=42615;
                 http://www3.interscience.wiley.com/cgi-bin/fulltext?ID=42615&PLACEBO=IE.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal of Quantum Chemistry",
  journal-URL =  "http://www.interscience.wiley.com/jpages/0020-7608/",
  journalabr =   "Int J Quant Chem",
  onlinedate =   "6 Dec 1998",
}

@TechReport{Lehoucq:1997:IRA,
  author =       "R. B. Lehoucq and J. A. Scott",
  title =        "Implicitly restarted {Arnoldi} methods and eigenvalues
                 of the discretized {Navier--Stokes} equations",
  type =         "Report",
  number =       "RAL-TR-97-058",
  institution =  "Council for the Central Laboratory of the Research
                 Councils",
  address =      "Chilton, UK",
  pages =        "41",
  year =         "1997",
  ISSN =         "1358-6254",
  LCCN =         "????",
  bibdate =      "Thu Jun 9 11:13:14 MDT 2011",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  series =       "Technical report",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/1345/RAL-TR-97-058.pdf;
                 http://epubs.cclrc.ac.uk/work-details?w=26902",
  acknowledgement = ack-nhfb,
}

@Article{Murphy:1997:PCP,
  author =       "K. Murphy and M. Clint and M. Szularz and J. Weston",
  title =        "The Parallel Computation of Partial Eigensolutions
                 Using a Modified {Lanczos} Method",
  journal =      j-PARALLEL-ALGORITHMS-APPL,
  volume =       "11",
  number =       "3--4",
  pages =        "299--323",
  month =        "????",
  year =         "1997",
  CODEN =        "PAAPEC",
  DOI =          "https://doi.org/10.1080/10637199708915600",
  ISSN =         "1063-7192",
  ISSN-L =       "1026-7689",
  MRclass =      "65F15 (65Y05)",
  MRnumber =     "MR1477393 (98e:65030)",
  bibdate =      "Fri Jul 11 06:45:43 MDT 2008",
  bibsource =    "http://www.gbhap-us.com/journals/728/728-top.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  URL =          "http://www.informaworld.com/smpp/content~content=a772742296",
  acknowledgement = ack-nhfb,
  fjournal =     "Parallel Algorithms and Applications",
  journal-URL =  "http://www.tandfonline.com/loi/gpaa20",
  remark =       "Also cited as v12 n9 pp 299--323 1998.",
}

@Article{Ortiz:1997:ATA,
  author =       "Eduardo L. Ortiz and T. J. Rivlin",
  title =        "Approximation theory and applications. {Preface}: a
                 collection of papers to commemorate the {Cornelius
                 Lanczos} centennial",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "33",
  number =       "1--2",
  pages =        "xiii--xiv",
  month =        jan,
  year =         "1997",
  CODEN =        "CMAPDK",
  DOI =          "https://doi.org/10.1016/S0898-1221(96)00214-3",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Fri Jun 10 17:49:16 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib",
  note =         "Dedicated to Cornelius Lanczos (1893--1974).",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
}

@Article{Ortiz:1997:PCP,
  author =       "E. L. Ortiz and T. J. Rivlin",
  title =        "Preface: a collection of papers to commemorate the
                 {Cornelius Lanczos} centennial",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "33",
  number =       "1--2",
  pages =        "xiii--xiv",
  month =        jan,
  year =         "1997",
  CODEN =        "CMAPDK",
  DOI =          "https://doi.org/10.1016/S0898-1221(96)00214-3",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Wed Mar 1 21:48:34 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0898122196002143",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
}

@Article{Rottner:1997:NSF,
  author =       "Th. Rottner and I. Lenhardt and G. Alefeld and K.
                 Schweizerhof",
  title =        "Nonlinear structural finite element analysis using the
                 preconditioned {Lanczos} method on serial and parallel
                 computers",
  journal =      j-BIT-NUM-MATH,
  volume =       "37",
  number =       "3",
  pages =        "759--769",
  month =        sep,
  year =         "1997",
  CODEN =        "BITTEL, NBITAB",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65N30 (65F10 65Y05)",
  MRnumber =     "1 483 685",
  bibdate =      "Fri Nov 13 07:00:34 MST 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  note =         "Direct methods, linear algebra in optimization,
                 iterative methods (Toulouse, 1995/1996).",
  URL =          "http://www.mai.liu.se/BIT/contents/bit37.html",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Article{Szularz:1997:RPL,
  author =       "M. Szularz and J. Weston and M. Clint",
  title =        "Robust Parallel {Lanczos} Methods for Clustered
                 Eigenvalues",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "1300",
  pages =        "710--??",
  year =         "1997",
  CODEN =        "LNCSD9",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  bibdate =      "Tue Apr 28 08:51:33 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Lecture Notes in Computer Science",
  journal-URL =  "http://link.springer.com/bookseries/558",
}

@Article{Yang:1997:EIIb,
  author =       "T. Yang",
  title =        "Efficient Implementation of the Improved Unsymmetric
                 {Lanczos} Process on Massively Distributed Memory
                 Computers",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "1277",
  pages =        "145--??",
  year =         "1997",
  CODEN =        "LNCSD9",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  bibdate =      "Tue Apr 28 08:51:33 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Lecture Notes in Computer Science",
  journal-URL =  "http://link.springer.com/bookseries/558",
}

@Article{Andersson:1998:CFA,
  author =       "F. Andersson and S. Brian Edgar",
  title =        "Curvature-free asymmetric metric connections and
                 {Lanczos} potentials in {Kerr--Schild} spacetimes",
  journal =      j-J-MATH-PHYS,
  volume =       "39",
  number =       "5",
  pages =        "2859--2861",
  month =        may,
  year =         "1998",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.532425",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  bibdate =      "Sat Aug 15 13:36:35 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
}

@Article{Bai:1998:EEP,
  author =       "Zhaojun Bai and Qiang Ye",
  title =        "Error estimation of the {Pad{\'e}} approximation of
                 transfer functions via the {Lanczos} process",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "7",
  pages =        "1--17",
  year =         "1998",
  CODEN =        "????",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  bibdate =      "Mon Sep 6 12:28:29 MDT 2010",
  bibsource =    "http://etna.mcs.kent.edu/;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Large scale eigenvalue problems (Argonne, IL, 1997)",
  URL =          "http://etna.mcs.kent.edu/vol.7.1998/pp1-17.dir/pp1-17.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Electronic Transactions on Numerical Analysis",
  journal-URL =  "http://etna.mcs.kent.edu/",
}

@Article{Benner:1998:SEP,
  author =       "Peter Benner and Heike Fa{\ss}bender",
  title =        "The symplectic eigenvalue problem, the butterfly form,
                 the {$ S R $} algorithm, and the {Lanczos} method",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "275/276",
  number =       "1--3",
  pages =        "19--47",
  day =          "15",
  month =        may,
  year =         "1998",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F15 (15A18)",
  MRnumber =     "1 628 381",
  bibdate =      "Fri May 28 09:34:09 MDT 1999",
  bibsource =    "http://www.elsevier.com/locate/laa;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Proceedings of the Sixth Conference of the
                 International Linear Algebra Society (Chemnitz,
                 1996).",
  URL =          "http://www.elsevier.com/cas/tree/store/laa/sub/1998/275-276/1-3/6047.pdf;
                 http://www.elsevier.com/cgi-bin/cas/tree/store/laa/cas_sub/browse/browse.cgi?year=1998&volume=275-276&issue=1-3&aid=6047",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Bjorck:1998:SCG,
  author =       "{\AA}ke Bj{\"o}rck and Tommy Elfving and Zden{\v{e}}k
                 Strako{\v{s}}",
  title =        "Stability of Conjugate Gradient and {Lanczos} Methods
                 for Linear Least Squares Problems",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "19",
  number =       "3",
  pages =        "720--736",
  month =        jul,
  year =         "1998",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S089547989631202X",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Fri Dec 4 12:14:09 MST 1998",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/19/3;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/31202",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Brezinski:1998:TFL,
  author =       "C. Brezinski and M. Redivo-Zaglia",
  title =        "Transpose-free {Lanczos-type} algorithms for
                 nonsymmetric linear systems",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "17",
  number =       "1--2",
  pages =        "67--103",
  month =        mar,
  year =         "1998",
  CODEN =        "NUALEG",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "65Fxx",
  MRnumber =     "1 628 482",
  bibdate =      "Mon Sep 29 08:36:53 MDT 2003",
  bibsource =    "http://www.kluweronline.com/issn/1017-1398;
                 http://www.math.psu.edu/dna/contents/na.html;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://ipsapp007.kluweronline.com/content/getfile/5058/31/5/abstract.htm;
                 http://ipsapp007.kluweronline.com/content/getfile/5058/31/5/fulltext.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Chan:1998:TFF,
  author =       "Tony F. Chan and Lisette {de Pillis} and Henk van der
                 Vorst",
  title =        "Transpose-free formulations of {Lanczos}-type methods
                 for nonsymmetric linear systems",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "17",
  number =       "1--2",
  pages =        "51--66",
  month =        mar,
  year =         "1998",
  CODEN =        "NUALEG",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "65F10, 65Fxx",
  MRnumber =     "MR1628478 (99d:65101)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "http://www.kluweronline.com/issn/1017-1398;
                 http://www.math.psu.edu/dna/contents/na.html;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib;
                 MathSciNet database",
  URL =          "http://ipsapp007.kluweronline.com/content/getfile/5058/31/12/abstract.htm;
                 http://ipsapp007.kluweronline.com/content/getfile/5058/31/12/fulltext.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{DeSamblanx:1998:NLI,
  author =       "Gorik {De Samblanx} and Adhemar Bultheel",
  title =        "Nested {Lanczos}: Implicitly restarting an unsymmetric
                 {Lanczos} algorithm",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "18",
  number =       "1",
  pages =        "31--50",
  month =        sep,
  year =         "1998",
  CODEN =        "NUALEG",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  bibdate =      "Mon Sep 29 08:36:54 MDT 2003",
  bibsource =    "http://www.kluweronline.com/issn/1017-1398;
                 http://www.math.psu.edu/dna/contents/na.html;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://ipsapp007.kluweronline.com/content/getfile/5058/13/3/abstract.htm;
                 http://ipsapp007.kluweronline.com/content/getfile/5058/13/3/fulltext.pdf",
  ZMnumber =     "924.65031",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Dolan:1998:LPV,
  author =       "P. Dolan and B. D. Muratori",
  title =        "The {Lanczos} potential for vacuum space--times with
                 an {Ernst} potential",
  journal =      j-J-MATH-PHYS,
  volume =       "39",
  number =       "10",
  pages =        "5406--5420",
  month =        oct,
  year =         "1998",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.532580",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  bibdate =      "Fri Oct 20 08:18:05 MDT 2000",
  bibsource =    "http://www.aip.org/ojs/jmp.html;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
}

@Article{Druskin:1998:UNL,
  author =       "V. Druskin and A. Greenbaum and L. Knizhnerman",
  title =        "Using Nonorthogonal {Lanczos} Vectors in the
                 Computation of Matrix Functions",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "19",
  number =       "1",
  pages =        "38--54",
  month =        jan,
  year =         "1998",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/S1064827596303661",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Fri Dec 4 14:47:53 MST 1998",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/19/1;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/30366",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{Fokkema:1998:JDS,
  author =       "Diederik R. Fokkema and Gerard L. G. Sleijpen and Henk
                 A. van der Vorst",
  title =        "{Jacobi--Davidson} Style {QR} and {QZ} Algorithms for
                 the Reduction of Matrix Pencils",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "20",
  number =       "1",
  pages =        "94--125",
  month =        jan,
  year =         "1998",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/S1064827596300073",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65F15",
  MRnumber =     "MR1639102 (99e:65061)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/20/1;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib;
                 MathSciNet database",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/30007;
                 http://epubs.siam.org/sam-bin/dbq/toc/SISC/20/1",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{Groetsch:1998:LGD,
  author =       "C. W. Groetsch",
  title =        "{Lanczos}' Generalized Derivative",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "105",
  number =       "4",
  pages =        "320--326",
  month =        apr,
  year =         "1998",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRclass =      "26A24",
  MRnumber =     "1 614 875",
  bibdate =      "Tue Jun 22 10:29:34 MDT 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.maa.org/pubs/monthly_apr98_toc.html",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
}

@Article{Guiang:1998:QDL,
  author =       "Chona S. Guiang and Robert E. Wyatt",
  title =        "Quantum Dynamics with {Lanczos} Subspace Propagation:
                 Application to a Laser-Driven Molecular System",
  journal =      j-IJQC,
  volume =       "67",
  number =       "5",
  pages =        "273--285",
  month =        "????",
  year =         "1998",
  CODEN =        "IJQCB2",
  DOI =          "https://doi.org/10.1002/(SICI)1097-461X(1998)67",
  ISSN =         "0020-7608 (print), 1097-461X (electronic)",
  ISSN-L =       "0020-7608",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www3.interscience.wiley.com/journalfinder.html",
  URL =          "http://www3.interscience.wiley.com/cgi-bin/abstract?ID=29906;
                 http://www3.interscience.wiley.com/cgi-bin/fulltext?ID=29906&PLACEBO=IE.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal of Quantum Chemistry",
  journal-URL =  "http://www.interscience.wiley.com/jpages/0020-7608/",
  onlinedate =   "6 Dec 1998",
}

@Article{Horoi:1998:EIL,
  author =       "M. Horoi and R. Enbody",
  title =        "Efficient Implementation of a {Lanczos} Eigenvalue
                 Solver on a {Cray T3E-900}",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "1401",
  pages =        "907--??",
  year =         "1998",
  CODEN =        "LNCSD9",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  bibdate =      "Sat Oct 10 14:40:24 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Lecture Notes in Computer Science",
  journal-URL =  "http://link.springer.com/bookseries/558",
}

@Article{Jia:1998:GBL,
  author =       "Zhongxiao Jia",
  title =        "Generalized block {Lanczos} methods for large
                 unsymmetric eigenproblems",
  journal =      j-NUM-MATH,
  volume =       "80",
  number =       "2",
  pages =        "239--266",
  month =        aug,
  year =         "1998",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Tue Jan 5 07:23:12 MST 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://link.springer.de/link/service/journals/00211/bibs/8080002/80800239.htm;
                 http://link.springer.de/link/service/journals/00211/papers/8080002/80800239.pdf;
                 http://link.springer.de/link/service/journals/00211/papers/8080002/80800239.ps.gz",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
}

@Book{Lehoucq:1998:AUG,
  author =       "Richard B. Lehoucq and Chao-Chih Yang and Danny C.
                 Sorensen",
  title =        "{ARPACK} users' guide: solution of large-scale
                 eigenvalue problems with implicitly restarted {Arnoldi}
                 methods",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xv + 142",
  year =         "1998",
  ISBN =         "0-89871-407-9",
  ISBN-13 =      "978-0-89871-407-4",
  LCCN =         "QA193.L44 1998",
  bibdate =      "Thu Jun 9 11:13:14 MDT 2011",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  abstract =     "This book is a guide to understanding and using the
                 software package ARPACK to solve large algebraic
                 eigenvalue problems. The software described is based on
                 the implicitly restarted Arnoldi method, which has been
                 heralded as one of the three most important advances in
                 large scale eigenanalysis in the past ten years. The
                 book explains the acquisition, installation,
                 capabilities, and detailed use of the software for
                 computing a desired subset of the eigenvalues and
                 eigenvectors of large (sparse) standard or generalized
                 eigenproblems. It also discusses the underlying theory
                 and algorithmic background at a level that is
                 accessible to the general practitioner.",
  acknowledgement = ack-nhfb,
  subject =      "Arnoldi method; eigenvalue problem; ARPACK",
  tableofcontents = "List of figures \\
                 List of tables \\
                 Preface \\
                 1. Introduction to ARPACK \\
                 Important features \\
                 Getting started \\
                 Reverse communication interface \\
                 Availability \\
                 Installation \\
                 Documentation \\
                 Dependence on LAPACK and BLAS \\
                 Expected performance \\
                 P\_ARPACK \\
                 Contributed additions \\
                 Trouble shooting and problems \\
                 2. Getting started with ARPACK \\
                 Directory structure and contents \\
                 Getting started \\
                 An example for a symmetric eigenvalue problem \\
                 3. General use of ARPACK \\
                 Naming conventions, precisions, and types \\
                 Shift and invert spectral transformation mode \\
                 Reverse communication structure for shift-invert \\
                 Using the computational modes \\
                 Computational modes for real symmetric problems \\
                 Postprocessing for eigenvectors using dseupd \\
                 Computational modes for real nonsymmetric problems \\
                 Postprocessing for eigenvectors using dneupd \\
                 Computational modes for complex problems \\
                 Postprocessing for eigenvectors using zneupd \\
                 4. The implicitly restarted Arnoldi method \\
                 Structure of the eigenvalue problem \\
                 Krylov subspaces and projection methods \\
                 The Arnoldi factorization \\
                 Restarting the Arnoldi method \\
                 The generalized eigenvalue problem \\
                 Stopping criterion \\
                 5. Computational routines \\
                 ARPACK subroutines \\
                 LAPACK routines used by ARPACK \\
                 BLAS routines used by ARPACK \\
                 Appendix A. Templates and driver routines \\
                 Symmetric Drivers \\
                 Real nonsymmetric drivers \\
                 Complex divers \\
                 Band drivers \\
                 The singular value decomposition \\
                 Appendix B. Tracking the progress of ARPACK \\
                 Obtaining trace output \\
                 Check-pointing ARPACK \\
                 Appendix C. The XYaupd ARPACK routines \\
                 DSAUPD \\
                 DNAUPD \\
                 ZNAUPD \\
                 Bibliography \\
                 Index",
}

@Article{Leyk:1998:ELE,
  author =       "Zbigniew Leyk and Henryk Wo{\'z}niakowski",
  title =        "Estimating a largest eigenvector by {Lanczos} and
                 polynomial algorithms with a random start",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "5",
  number =       "3",
  pages =        "147--164",
  month =        may # "\slash " # jun,
  year =         "1998",
  CODEN =        "NLAAEM",
  DOI =          "https://doi.org/10.1002/(SICI)1099-1506(199805/06)5",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  MRclass =      "65Fxx",
  MRnumber =     "1 627 045",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www3.interscience.wiley.com/journalfinder.html",
  URL =          "http://www3.interscience.wiley.com/cgi-bin/abstract?ID=61002412;
                 http://www3.interscience.wiley.com/cgi-bin/fulltext?ID=61002412&PLACEBO=IE.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Linear Algebra with Applications",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
  onlinedate =   "4 May 1999",
}

@Article{Li:1998:ETM,
  author =       "Henian Li and Allan Woodbury and Peter Aitchison",
  title =        "Eigenvalue translation method for stabilizing an
                 unsymmetric {Lanczos} reduction process",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "43",
  number =       "2",
  pages =        "221--239",
  day =          "30",
  month =        sep,
  year =         "1998",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/(SICI)1097-0207(19980930)43",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "18 Dec 1998",
}

@Article{Li:1998:MOB,
  author =       "Henian Li and Peter Aitchison and Allan Woodbury",
  title =        "Methods for overcoming breakdown problems in the
                 {Unsymmetric Lanczos Reduction} method",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "42",
  number =       "3",
  pages =        "389--408",
  day =          "15",
  month =        jun,
  year =         "1998",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/(SICI)1097-0207(19980615)42",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "4 Dec 1998",
}

@Article{Meerbergen:1998:TCB,
  author =       "Karl Meerbergen",
  title =        "A theoretical comparison between inner products in the
                 shift-invert {Arnoldi} method and the spectral
                 transformation {Lanczos} method",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "7",
  pages =        "90--103",
  year =         "1998",
  CODEN =        "????",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  bibdate =      "Mon Sep 6 12:28:29 MDT 2010",
  bibsource =    "http://etna.mcs.kent.edu/;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Large scale eigenvalue problems (Argonne, IL, 1997)",
  URL =          "http://etna.mcs.kent.edu/vol.7.1998/pp90-103.dir/pp90-103.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Electronic Transactions on Numerical Analysis",
  journal-URL =  "http://etna.mcs.kent.edu/",
}

@Article{Ressel:1998:QSL,
  author =       "Klaus J. Ressel and Martin H. Gutknecht",
  title =        "{QMR} Smoothing for {Lanczos}-Type Product Methods
                 Based on Three-Term Recurrences",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "19",
  number =       "1",
  pages =        "55--73",
  month =        jan,
  year =         "1998",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/S1064827596304812",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Fri Dec 4 14:47:53 MST 1998",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/19/1;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/30481",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{Simoncini:1998:MAA,
  author =       "V. Simoncini",
  title =        "A matrix analysis of {Arnoldi} and {Lanczos} methods",
  journal =      j-NUM-MATH,
  volume =       "81",
  number =       "1",
  pages =        "125--141",
  month =        nov,
  year =         "1998",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Tue Jan 5 07:23:12 MST 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://link.springer.de/link/service/journals/00211/bibs/8081001/80810125.htm;
                 http://link.springer.de/link/service/journals/00211/papers/8081001/80810125.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
}

@Article{Teitelbaum:1998:EAL,
  author =       "Jeremy Teitelbaum",
  title =        "{Euclid}'s algorithm and the {Lanczos} method over
                 finite fields",
  journal =      j-MATH-COMPUT,
  volume =       "67",
  number =       "224",
  pages =        "1665--1678",
  month =        oct,
  year =         "1998",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "11Y16 (11T99 65F50 94A60)",
  MRnumber =     "1 474 657",
  bibdate =      "Fri Jul 16 10:38:58 MDT 1999",
  bibsource =    "http://www.ams.org/mcom/1998-67-224;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-98-00973-9&u=/mcom/1998-67-224/",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@InProceedings{Wu:1998:NLM,
  author =       "Kesheng Wu and A. Canning and H. D. Simon",
  title =        "A New {Lanczos} Method for Electronic Structure
                 Simulation",
  crossref =     "ACM:1998:SHP",
  pages =        "35--40",
  year =         "1998",
  DOI =          "https://doi.org/10.1109/SC.1998.10033",
  bibdate =      "Wed Mar 06 06:37:52 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www.supercomp.org/sc98/papers/",
  URL =          "http://www.supercomp.org/sc98/TechPapers/sc98_FullAbstracts/Wu1023/index.htm",
  acknowledgement = ack-nhfb,
}

@Article{Wu:1998:TRL,
  author =       "K. Wu and H. D. Simon",
  title =        "Thick-Restart {Lanczos} Method for Symmetric
                 Eigenvalue Problems",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "1457",
  pages =        "43--??",
  year =         "1998",
  CODEN =        "LNCSD9",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  bibdate =      "Sat Oct 10 14:40:24 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Lecture Notes in Computer Science",
  journal-URL =  "http://link.springer.com/bookseries/558",
}

@Article{Yu:1998:ELG,
  author =       "Hua-Gen Yu and Sean C. Smith",
  title =        "The Elimination of {Lanczos} Ghosting Effects by
                 {MINRES} Filter Diagonalization",
  journal =      j-J-COMPUT-PHYS,
  volume =       "143",
  number =       "2",
  pages =        "484--494",
  day =          "1",
  month =        jul,
  year =         "1998",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1006/jcph.1998.5971",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Mon Jan 2 07:55:27 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S002199919895971X",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991",
}

@Article{Bai:1999:AAB,
  author =       "Zhaojun Bai and David Day and Qiang Ye",
  title =        "{ABLE}: An Adaptive Block {Lanczos} Method for
                 Non-{Hermitian} Eigenvalue Problems",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "20",
  number =       "4",
  pages =        "1060--1082",
  year =         "1999",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479897317806",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Sat Jan 22 14:39:14 MST 2000",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/20/4;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/31780",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Brezinski:1999:NLA,
  author =       "C. Brezinski and M. Redivo Zaglia and H. Sadok",
  title =        "New look-ahead {Lanczos}-type algorithms for linear
                 systems",
  journal =      j-NUM-MATH,
  volume =       "83",
  number =       "1",
  pages =        "53--85",
  month =        jul,
  year =         "1999",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Mon Oct 18 10:45:13 MDT 1999",
  bibsource =    "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083001.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://link.springer-ny.com/link/service/journals/00211/bibs/9083001/90830053.htm;
                 http://link.springer-ny.com/link/service/journals/00211/papers/9083001/90830053.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
}

@Article{Calvetti:1999:BLM,
  author =       "D. Calvetti and L. Reichel",
  title =        "A block-{Lanczos} method for large continuation
                 problems",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "21",
  number =       "1--4",
  pages =        "109--118",
  month =        dec,
  year =         "1999",
  CODEN =        "NUALEG",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  bibdate =      "Mon Sep 29 08:36:58 MDT 2003",
  bibsource =    "http://www.kluweronline.com/issn/1017-1398;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://ipsapp007.kluweronline.com/content/getfile/5058/20/15/abstract.htm;
                 http://ipsapp007.kluweronline.com/content/getfile/5058/20/15/fulltext.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Calvetti:1999:ECL,
  author =       "D. Calvetti and G. H. Golub and L. Reichel",
  title =        "Estimation of the {$L$}-curve via {Lanczos}
                 bidiagonalization",
  journal =      j-BIT-NUM-MATH,
  volume =       "39",
  number =       "4",
  pages =        "603--619",
  month =        dec,
  year =         "1999",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1023/A:1022383005969",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  bibdate =      "Wed Jan 4 15:06:03 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=39&issue=4;
                 http://www.mai.liu.se/BIT/contents/bit39.html;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib; OCLC
                 Article1st database",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=39&issue=4&spage=603",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://link.springer.com/journal/10543",
}

@InProceedings{Frommer:1999:VEBa,
  author =       "Andreas Frommer and Andre Weinberg",
  title =        "Verified Error Bounds for Linear Systems through the
                 {Lanczos} Process",
  crossref =     "Csendes:1999:DRC",
  pages =        "255--267",
  year =         "1999",
  bibdate =      "Fri Nov 21 08:27:10 2008",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Frommer:1999:VEBb,
  author =       "A. Frommer and A. Weinberg",
  title =        "Verified Error Bounds for Linear Systems Through the
                 {Lanczos} Process",
  journal =      j-RELIABLE-COMPUTING,
  volume =       "5",
  number =       "3",
  pages =        "255--267",
  year =         "1999",
  CODEN =        "RCOMF8",
  ISSN =         "1385-3139 (print), 1573-1340 (electronic)",
  ISSN-L =       "1385-3139",
  bibdate =      "Mon May 20 06:37:48 MDT 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 OCLC Proceedings database",
  acknowledgement = ack-nhfb,
  fjournal =     "Reliable Computing = Nadezhnye vychisleniia",
  journal-URL =  "http://link.springer.com/journal/11155",
  remark =       "Papers from Scientific computing, computer arithmetic
                 and validated numerics (SCAN '98), September 1998,
                 Budapest, Hungary.",
}

@Article{Gallivan:1999:RAP,
  author =       "Kyle Gallivan and Paul {Van Dooren}",
  title =        "Rational approximations of pre-filtered transfer
                 functions via the {Lanczos} algorithm",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "20",
  number =       "4",
  pages =        "331--342",
  month =        dec,
  year =         "1999",
  CODEN =        "NUALEG",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  bibdate =      "Mon Sep 29 08:36:58 MDT 2003",
  bibsource =    "http://www.kluweronline.com/issn/1017-1398;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://ipsapp007.kluweronline.com/content/getfile/5058/19/3/abstract.htm;
                 http://ipsapp007.kluweronline.com/content/getfile/5058/19/3/fulltext.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@InProceedings{Golub:1999:LSS,
  author =       "Gene H. Golub and Zhenyue Zhang and Hongyuan Zha",
  booktitle =    "Advances in numerical mathematics: Proceedings of the
                 Fourth Japan-China Joint Seminar on Numerical
                 Mathematics (Chiba, 1998)",
  title =        "Large sparse symmetric eigenvalue problems with
                 homogeneous linear constraints: the {Lanczos} process
                 with inner-outer iterations",
  volume =       "12",
  publisher =    "Gakk{\=o}tosho",
  address =      "Tokyo, Japan",
  pages =        "21--34",
  year =         "1999",
  MRclass =      "65F15 (65F30 65F50)",
  MRnumber =     "1 763 339",
  bibdate =      "Fri Jun 10 12:38:34 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  series =       "GAKUTO Internat. Ser. Math. Sci. Appl.",
  acknowledgement = ack-nhfb,
}

@Article{Gould:1999:STR,
  author =       "Nicholas I. M. Gould and Stefano Lucidi and Massimo
                 Roma and Philippe L. Toint",
  title =        "Solving the Trust-Region Subproblem using the
                 {Lanczos} Method",
  journal =      j-SIAM-J-OPT,
  volume =       "9",
  number =       "2",
  pages =        "504--525",
  month =        mar,
  year =         "1999",
  CODEN =        "SJOPE8",
  DOI =          "https://doi.org/10.1137/S1052623497322735",
  ISSN =         "1052-6234 (print), 1095-7189 (electronic)",
  ISSN-L =       "1052-6234",
  MRclass =      "90C20 (65F10 65K05 90C30)",
  MRnumber =     "MR1686795 (2000b:90046)",
  MRreviewer =   "Horst Hollatz",
  bibdate =      "Tue Sep 30 16:21:28 MDT 2003",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIOPT/9/2;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/32273",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Optimization",
  journal-URL =  "http://epubs.siam.org/siopt",
}

@Article{Im:1999:NLT,
  author =       "C. K. Im and S. P. Chang",
  title =        "Non-linear transient heat transfer analysis based on
                 {Lanczos} co-ordinates using pseudo-force method",
  journal =      j-COMM-NUMER-METHODS-ENGRG,
  volume =       "15",
  number =       "9",
  pages =        "629--639",
  month =        sep,
  year =         "1999",
  DOI =          "https://doi.org/10.1002/(SICI)1099-0887(199909)15",
  ISSN =         "1069-8299 (print), 1099-0887 (electronic)",
  ISSN-L =       "1069-8299",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Communications in Numerical Methods in Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-0887",
  onlinedate =   "29 Sep 1999",
}

@Article{Kim:1999:CEA,
  author =       "Man-Cheol Kim and In-Won Lee",
  title =        "A computationally efficient algorithm for the solution
                 of eigenproblems for large structures with
                 non-proportional damping using {Lanczos} method",
  journal =      j-EARTHQUAKE-ENG-STRUCT-DYN,
  volume =       "28",
  number =       "2",
  pages =        "157--172",
  month =        feb,
  year =         "1999",
  CODEN =        "IJEEBG",
  DOI =          "http://tinyurl.com/h8ktxdu",
  ISSN =         "0098-8847 (print), 1096-9845 (electronic)",
  ISSN-L =       "0098-8847",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Earthquake engineering \& structural dynamics",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-9845",
  onlinedate =   "27 Jan 1999",
  xxDOI =        "https://doi.org/10.1002/(SICI)1096-9845(199902)28:2<157::AID-EQE809>3.0.CO%3B2-2",
}

@TechReport{Lehoucq:1999:CIR,
  author =       "Richard B. Lehoucq",
  title =        "On the Convergence of an Implicitly Restarted
                 {Arnoldi} Method",
  type =         "Report",
  number =       "SAND99-1756j",
  institution =  "United States Department of Energy",
  address =      "Washington, DC, USA",
  pages =        "13",
  year =         "1999",
  LCCN =         "????",
  bibdate =      "Thu Jun 9 11:13:14 MDT 2011",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.osti.gov/servlets/purl/9021-L2vVMI/webviewable/",
  abstract =     "We show that Sorensen's [35] implicitly restarted
                 Arnoldi method (including its block extension) is
                 simultaneous iteration with an implicit projection step
                 to accelerate convergence to the invariant subspace of
                 interest. By using the geometric convergence theory for
                 simultaneous iteration due to Watkins and Elsner [43],
                 we prove that an implicitly restarted Arnoldi method
                 can achieve a super-linear rate of convergence to the
                 dominant invariant subspace of a matrix. Moreover, we
                 show how an IRAM computes a nested sequence of
                 approximations for the partial Schur decomposition
                 associated with the dominant invariant subspace of a
                 matrix.",
  acknowledgement = ack-nhfb,
  subject =      "Eigenvalues; Convergence; Iterative Methods; Matrix
                 Elements; General And Miscellaneous//mathematics,
                 Computing, And Information Science",
}

@Article{Li:1999:AUL,
  author =       "Henian Li and Allan Woodbury and Peter Aitchison",
  title =        "Application of the unsymmetric {Lanczos} method to
                 radionuclide decay-chain transport in porous media",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "44",
  number =       "3",
  pages =        "355--372",
  day =          "30",
  month =        jan,
  year =         "1999",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/(SICI)1097-0207(19990130)44",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "7 Jan 1999",
}

@Article{Liu:1999:ASS,
  author =       "K. M. Liu and C. K. Pan",
  title =        "The automatic solution to systems of ordinary
                 differential equations by the tau method",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "38",
  number =       "9--10",
  pages =        "197--210",
  month =        nov,
  year =         "1999",
  CODEN =        "CMAPDK",
  DOI =          "https://doi.org/10.1016/S0898-1221(99)00275-8",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Wed Mar 1 21:49:04 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0898122199002758",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
}

@Article{Paige:1999:SAL,
  author =       "Christopher C. Paige and Paul {Van Dooren}",
  title =        "Sensitivity analysis of the {Lanczos} reduction",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "6",
  number =       "1",
  pages =        "29--50",
  month =        jan # "\slash " # feb,
  year =         "1999",
  CODEN =        "NLAAEM",
  DOI =          "https://doi.org/10.1002/(SICI)1099-1506(199901/02)6",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  MRclass =      "65Fxx",
  MRnumber =     "1 684 651",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www3.interscience.wiley.com/journalfinder.html",
  note =         "Czech-US Workshop in Iterative Methods and Parallel
                 Computing, Part I (Milovy, 1997).",
  URL =          "http://www3.interscience.wiley.com/cgi-bin/abstract?ID=62002985;
                 http://www3.interscience.wiley.com/cgi-bin/fulltext?ID=62002985&PLACEBO=IE.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Linear Algebra with Applications",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
  onlinedate =   "22 Jun 1999",
}

@Article{Rao:1999:DSS,
  author =       "R. Venugopala Rao and N. S. V. Kameswara Rao",
  title =        "Dynamic soil--structure interaction analysis using
                 {Lanczos} vectors with adaptive time integration
                 technique",
  journal =      j-INT-J-NUMER-ANAL-METHODS-GEOMECH,
  volume =       "23",
  number =       "11",
  pages =        "1141--1158",
  month =        sep,
  year =         "1999",
  CODEN =        "IJNGDZ",
  DOI =          "http://tinyurl.com/hph4zbp",
  ISSN =         "0363-9061 (print), 1096-9853 (electronic)",
  ISSN-L =       "0363-9061",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical and Analytical
                 Methods in Geomechanics",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-9853",
  onlinedate =   "31 Aug 1999",
  xxDOI =        "https://doi.org/10.1002/(SICI)1096-9853(199909)23:11<1141::AID-NAG997>3.0.CO%3B2-V",
}

@Article{Santoro:1999:LCN,
  author =       "Fabrizio Santoro and Carlo Petrongolo",
  title =        "{Lanczos} Calculation of the {$ \tilde {\rm X}^2 {\rm
                 A}_1 / \tilde {\rm A}^2 {\rm B}_2 $} Nonadiabatic
                 {Franck-Condon} Absorption Spectrum of {NO$_2$}",
  journal =      j-ADV-QUANTUM-CHEM,
  volume =       "36",
  pages =        "323--340",
  year =         "1999",
  CODEN =        "AQCHA9",
  ISSN =         "0065-3276",
  bibdate =      "Sat Dec 30 12:41:21 2000",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 OCR scan conversion; Science Citation Index database
                 (1980--2000)",
  acknowledgement = ack-nhfb,
  fjournal =     "Advances in Quantum Chemistry",
  journal-URL =  "http://www.sciencedirect.com/science/bookseries/00653276",
  journalabr =   "Advan Quantum Chem",
  toc =          "1. Introduction 324;\\
                 2. Method 324;\\
                 3. Results 328;\\
                 4. Conclusions 338;\\
                 References 340",
}

@Article{Shen:1999:NGL,
  author =       "Jianhong Shen",
  title =        "Notes: On the Generalized ``{Lanczos}' Generalized
                 Derivative''",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "106",
  number =       "8",
  pages =        "766--767",
  month =        oct,
  year =         "1999",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Thu Dec 30 11:29:00 MST 1999",
  bibsource =    "http://www.maa.org/pubs/monthly.html;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
  mailto =       "mailto:[email protected]",
}

@Article{Sun:1999:AAL,
  author =       "Din-Kow Sun",
  title =        "{ALPS}: An adaptive {Lanczos--Pad{\'e}} spectral
                 solution of mixed-potential integral equation",
  journal =      j-COMPUT-METH-APPL-MECH-ENG,
  volume =       "169",
  number =       "3--4",
  pages =        "425--432",
  day =          "12",
  month =        feb,
  year =         "1999",
  CODEN =        "CMMECC",
  DOI =          "https://doi.org/10.1016/S0045-7825(98)00167-4",
  ISSN =         "0045-7825 (print), 1879-2138 (electronic)",
  ISSN-L =       "0045-7825",
  bibdate =      "Fri Jun 10 17:04:52 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Methods in Applied Mechanics and
                 Engineering",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00457825",
}

@Article{Szularz:1999:ERL,
  author =       "M. Szularz and J. Weston and M. Clint",
  title =        "Explicitly restarted {Lanczos} algorithms in an {MPP}
                 environment",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "25",
  number =       "5",
  pages =        "613--631",
  day =          "1",
  month =        may,
  year =         "1999",
  CODEN =        "PACOEJ",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  bibdate =      "Fri Aug 6 10:16:06 MDT 1999",
  bibsource =    "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1999&volume=25&issue=5;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.elsevier.com/cas/tree/store/parco/sub/1999/25/5/1397.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Parallel Computing",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191",
}

@Article{Szularz:1999:RTL,
  author =       "M. Szularz and J. Weston and M. Clint",
  title =        "Restarting Techniques for the {Lanczos} Algorithm and
                 Their Implementation in Parallel Computing
                 Environments: Architectural Influences",
  journal =      j-PARALLEL-ALGORITHMS-APPL,
  volume =       "14",
  number =       "1",
  pages =        "57--77",
  month =        "????",
  year =         "1999",
  CODEN =        "PAAPEC",
  DOI =          "https://doi.org/10.1080/10637199808947378",
  ISSN =         "1063-7192",
  ISSN-L =       "1026-7689",
  MRclass =      "65F10 (65Y05)",
  MRnumber =     "MR1689055",
  bibdate =      "Fri Jul 11 06:45:43 MDT 2008",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  URL =          "http://www.informaworld.com/smpp/content~content=a777980765",
  ZMnumber =     "01799927",
  acknowledgement = ack-nhfb,
  fjournal =     "Parallel Algorithms and Applications",
  journal-URL =  "http://www.tandfonline.com/loi/gpaa20",
}

@Article{Witte:1999:LAE,
  author =       "N. S. Witte and D. Bessis",
  title =        "The {Lanczos} algorithm for extensive many-body
                 systems in the thermodynamic limit",
  journal =      j-J-MATH-PHYS,
  volume =       "40",
  number =       "10",
  pages =        "4975--4994",
  month =        oct,
  year =         "1999",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.533010",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  bibdate =      "Fri Oct 20 08:10:39 MDT 2000",
  bibsource =    "http://www.aip.org/ojs/jmp.html;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
}

@Article{Wu:1999:TRL,
  author =       "K. Wu and A. Canning and H. D. Simon and L.-W Wang",
  title =        "Thick-Restart {Lanczos} Method for Electronic
                 Structure Calculations",
  journal =      j-J-COMPUT-PHYS,
  volume =       "154",
  number =       "1",
  pages =        "156--173",
  day =          "1",
  month =        sep,
  year =         "1999",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1006/jcph.1999.6306",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Mon Jan 2 07:55:37 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0021999199963064",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991",
}

@Article{Yeung:1999:MBV,
  author =       "Man-Chung Yeung and Tony F. Chan",
  title =        "{ML$ (k) $BiCGSTAB}: {A} {BiCGSTAB} Variant Based on
                 Multiple {Lanczos} Starting Vectors",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "21",
  number =       "4",
  pages =        "1263--1290",
  month =        jul,
  year =         "1999",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/S1064827597321581",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Fri Oct 27 13:32:22 MDT 2000",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/21/4;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/32158",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{Aliaga:2000:LTM,
  author =       "J. I. Aliaga and D. L. Boley and R. W. Freund and V.
                 Hern{\'a}ndez",
  title =        "A {Lanczos}-type method for multiple starting
                 vectors",
  journal =      j-MATH-COMPUT,
  volume =       "69",
  number =       "232",
  pages =        "1577--1601",
  month =        oct,
  year =         "2000",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Wed Nov 1 11:50:08 MST 2000",
  bibsource =    "http://www.ams.org/mcom/2000-69-232;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.ams.org/journal-getitem?pii=S0025-5718-99-01163-1;
                 http://www.ams.org/mcom/2000-69-232/S0025-5718-99-01163-1/S0025-5718-99-01163-1.dvi;
                 http://www.ams.org/mcom/2000-69-232/S0025-5718-99-01163-1/S0025-5718-99-01163-1.pdf;
                 http://www.ams.org/mcom/2000-69-232/S0025-5718-99-01163-1/S0025-5718-99-01163-1.ps;
                 http://www.ams.org/mcom/2000-69-232/S0025-5718-99-01163-1/S0025-5718-99-01163-1.tex",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{Andersson:2000:SCL,
  author =       "F. Andersson and S. B. Edgar",
  title =        "Spin coefficients as {Lanczos} scalars: {Underlying}
                 spinor relations",
  journal =      j-J-MATH-PHYS,
  volume =       "41",
  number =       "5",
  pages =        "2990--3001",
  month =        may,
  year =         "2000",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.533285",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  bibdate =      "Fri Oct 20 08:28:46 MDT 2000",
  bibsource =    "http://www.aip.org/ojs/jmp.html;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
}

@Article{Baglama:2000:DLD,
  author =       "J. Baglama",
  title =        "Dealing with linear dependence during the iterations
                 of the restarted block {Lanczos} methods",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "25",
  number =       "1--4",
  pages =        "23--36",
  month =        sep,
  year =         "2000",
  CODEN =        "NUALEG",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "65F30",
  MRnumber =     "1 827 143",
  bibdate =      "Mon Sep 29 08:37:05 MDT 2003",
  bibsource =    "http://www.kluweronline.com/issn/1017-1398;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  note =         "Mathematical journey through analysis, matrix theory
                 and scientific computation (Kent, OH, 1999).",
  URL =          "http://ipsapp007.kluweronline.com/content/getfile/5058/3/23/abstract.htm;
                 http://ipsapp007.kluweronline.com/content/getfile/5058/3/23/fulltext.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Benner:2000:IRS,
  author =       "Peter Benner and Heike Fassbender",
  title =        "An Implicitly Restarted Symplectic {Lanczos} Method
                 for the Symplectic Eigenvalue Problem",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "22",
  number =       "3",
  pages =        "682--713",
  year =         "2000",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479898343115",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Fri Oct 27 07:23:39 MDT 2000",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/22/3;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/34311",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Borici:2000:LAI,
  author =       "Artan Bori{\c{c}}i",
  title =        "A {Lanczos} Approach to the Inverse Square Root of a
                 Large and Sparse Matrix",
  journal =      j-J-COMPUT-PHYS,
  volume =       "162",
  number =       "1",
  pages =        "123--131",
  day =          "20",
  month =        jul,
  year =         "2000",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1006/jcph.2000.6529",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Mon Jan 2 22:11:56 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S002199910096529X",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991",
}

@Article{Cipra:2000:BCE,
  author =       "Barry A. Cipra",
  title =        "The Best of the {20th Century}: Editors Name Top 10
                 Algorithms",
  journal =      j-SIAM-NEWS,
  volume =       "33",
  number =       "4",
  pages =        "1--2",
  month =        may,
  year =         "2000",
  ISSN =         "0036-1437",
  ISSN-L =       "0036-1437",
  bibdate =      "Thu Sep 03 19:34:45 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/u/ulam-stanislaw-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib;
                 https://www.math.utah.edu/pub/tex/bib/fortran3.bib",
  URL =          "https://archive.siam.org/pdf/news/637.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM News",
  journal-URL =  "http://www.siam.org/news/",
  keywords =     "1946: Monte Carlo method (John von Neumann, Stan Ulam,
                 and Nick Metropolis); 1947: simplex method for linear
                 programming (George Dantzig); 1950: Krylov subspace
                 iteration methods and conjugate gradient (Magnus
                 Hestenes, Eduard Stiefel, and Cornelius Lanczos); 1951:
                 decompositional approach to matrix computations (Alston
                 Householder); 1957: Fortran optimizing compiler (John
                 Backus); 1959--1961: QR algorithm (J. G. F. Francis);
                 1962: Quicksort (Tony Hoare); 1965: Fast Fourier
                 Transform (James Cooley and John Tukey); 1977: integer
                 relation detection algorithm (Helaman Ferguson and
                 Rodney Forcade); 1987: fast multipole algorithm (Leslie
                 Greengard and Vladimir Rokhlin)",
  subject-dates = "Alston Scott Householder (5 May 1904--4 July 1993);
                 Cornelius Lanczos (2 February 1893--25 June 1974);
                 Eduard Stiefel (21 April 1909--25 November 1978);
                 George Bernard Dantzig (8 November 1914--13 May 2005);
                 James William Cooley (1926--June 29, 2016); John Warner
                 Backus (3 December 1924--17 March 2007); John Wilder
                 Tukey (16 June 1915--26 July 2000); Magnus Rudolph
                 Hestenes (13 February 1906--31 May 1991); Neumann
                 J{\'a}nos (28 December 1903--8 February 1957); Nicholas
                 Constantine Metropolis (11 June 1915--17 October 1999);
                 Stanis{\l}aw Marcin Ulam (13 April 1909--13 May 1984)",
}

@Article{Cizek:2000:SLC,
  author =       "M. {\c{C}}i{\v{z}}ek and J. Hor{\'a}{\v{c}}ek and
                 H.-D. Meyer",
  title =        "{Schwinger--Lanczos} for calculation of off-shell
                 {T}-matrix elements and {Wynn}'s epsilon algorithm",
  journal =      j-COMP-PHYS-COMM,
  volume =       "131",
  number =       "1--2",
  pages =        "41--51",
  day =          "1",
  month =        sep,
  year =         "2000",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/S0010-4655(00)00076-X",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Fri Jun 10 16:24:59 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/compphyscomm2000.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@Article{Fassbender:2000:EAS,
  author =       "Heike Fassbender",
  title =        "Error analysis of the symplectic {Lanczos} method for
                 the symplectic eigenvalue problem",
  journal =      j-BIT-NUM-MATH,
  volume =       "40",
  number =       "3",
  pages =        "471--496",
  month =        sep,
  year =         "2000",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1023/A:1022315729226",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  bibdate =      "Wed Jan 4 15:06:04 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=40&issue=3;
                 http://www.mai.liu.se/BIT/contents/bit40.html;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=40&issue=3&spage=471",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Article{Fischer:2000:NSE,
  author =       "Patrick Fischer",
  title =        "Numerical solution of eigenvalue problems by means of
                 a wavelet-based {Lanczos} decomposition",
  journal =      j-IJQC,
  volume =       "77",
  number =       "2",
  pages =        "552--562",
  month =        "????",
  year =         "2000",
  CODEN =        "IJQCB2",
  DOI =          "https://doi.org/10.1002/(SICI)1097-461X(2000)77",
  ISSN =         "0020-7608 (print), 1097-461X (electronic)",
  ISSN-L =       "0020-7608",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "http://www.interscience.wiley.com/jpages/0020-7608;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www3.interscience.wiley.com/journalfinder.html",
  URL =          "http://www3.interscience.wiley.com/cgi-bin/abstract/70002215/START;
                 http://www3.interscience.wiley.com/cgi-bin/fulltext/70002215/FILE?TPL=ftx_start;
                 http://www3.interscience.wiley.com/cgi-bin/fulltext?ID=70002215&PLACEBO=IE.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal of Quantum Chemistry",
  journal-URL =  "http://www.interscience.wiley.com/jpages/0020-7608/",
  onlinedate =   "10 Mar 2000",
}

@Article{Golub:2000:LSS,
  author =       "Gene H. Golub and Zhenyue Zhang and Hongyuan Zha",
  title =        "Large sparse symmetric eigenvalue problems with
                 homogeneous linear constraints: the {Lanczos} process
                 with inner-outer iterations",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "309",
  number =       "1--3",
  pages =        "289--306",
  day =          "15",
  month =        apr,
  year =         "2000",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Mon Oct 9 10:54:41 MDT 2000",
  bibsource =    "http://www.elsevier.com/locate/laa;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.elsevier.nl/gej-ng/10/30/19/126/25/39/abstract.html;
                 http://www.elsevier.nl/gej-ng/10/30/19/126/25/39/article.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Gutknecht:2000:LAP,
  author =       "Martin H. Gutknecht and Klaus J. Ressel",
  title =        "Look-Ahead Procedures for {Lanczos}-Type Product
                 Methods Based on Three-Term {Lanczos} Recurrences",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "21",
  number =       "4",
  pages =        "1051--1078",
  year =         "2000",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479896306744",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Fri Oct 27 07:23:32 MDT 2000",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/21/4;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/30674",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@InProceedings{Gutknecht:2000:LTM,
  author =       "M. H. Gutknecht",
  title =        "On {Lanczos-Type} Methods for {Wilson} Fermions",
  crossref =     "Frommer:2000:NCL",
  pages =        "48--65",
  year =         "2000",
  bibdate =      "Tue Feb 05 09:57:08 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  cnnumber =     "CN036426100",
}

@Article{Hicks:2000:LGD,
  author =       "D. L. Hicks and L. M. Liebrock",
  title =        "{Lanczos}' generalized derivative: Insights and
                 Applications",
  journal =      j-APPL-MATH-COMP,
  volume =       "112",
  number =       "1",
  pages =        "63--73",
  day =          "1",
  month =        jun,
  year =         "2000",
  CODEN =        "AMHCBQ",
  DOI =          "https://doi.org/10.1016/S0096-3003(99)00048-X",
  ISSN =         "0096-3003 (print), 1873-5649 (electronic)",
  ISSN-L =       "0096-3003",
  bibdate =      "Thu Oct 19 16:32:12 MDT 2000",
  bibsource =    "http://www.elsevier.com/locate/issn/00963003;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.elsevier.nl/gej-ng/29/17/20/86/21/26/abstract.html;
                 http://www.elsevier.nl/gej-ng/29/17/20/86/21/26/article.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Mathematics and Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00963003",
}

@Article{Kuijlaars:2000:WEF,
  author =       "A. B. J. Kuijlaars",
  title =        "Which Eigenvalues Are Found by the {Lanczos} Method?",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "22",
  number =       "1",
  pages =        "306--321",
  year =         "2000",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S089547989935527X",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Fri Oct 27 07:23:35 MDT 2000",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/22/1;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/35527",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Ng:2000:PLM,
  author =       "Michael K. Ng",
  title =        "Preconditioned {Lanczos} Methods for the Minimum
                 Eigenvalue of a Symmetric Positive Definite {Toeplitz}
                 Matrix",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "21",
  number =       "6",
  pages =        "1973--1986",
  month =        nov,
  year =         "2000",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/S1064827597330169",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Fri Oct 27 13:32:27 MDT 2000",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/21/6;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/33016",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{Simon:2000:LRM,
  author =       "Horst D. Simon and Hongyuan Zha",
  title =        "Low-Rank Matrix Approximation Using the {Lanczos}
                 Bidiagonalization Process with Applications",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "21",
  number =       "6",
  pages =        "2257--2274",
  month =        nov,
  year =         "2000",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/S1064827597327309",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Fri Oct 27 13:32:27 MDT 2000",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/21/6;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/32730",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{UC:2000:NSL,
  author =       "{The UKQCD Collaboration} and Eamonn Cahill and Alan
                 Irving and Christopher Johnston and James Sexton",
  title =        "Numerical stability of {Lanczos} methods",
  journal =      j-NUCL-PHYS-B-PROC-SUPPL,
  volume =       "83--84",
  number =       "??",
  pages =        "825--827",
  month =        apr,
  year =         "2000",
  CODEN =        "NPBSE7",
  DOI =          "https://doi.org/10.1016/S0920-5632(00)91816-4",
  ISSN =         "0920-5632 (print), 1873-3832 (electronic)",
  ISSN-L =       "0920-5632",
  bibdate =      "Fri Jun 10 16:59:32 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Proceedings of the XVIIth International Symposium on
                 Lattice Field Theory.",
  acknowledgement = ack-nhfb,
  fjournal =     "Nuclear Physics B, Proceedings Supplements",
  journal-URL =  "http://www.sciencedirect.com/science/journal/09205632",
}

@Article{vanDorsselaer:2000:CPB,
  author =       "Jos L. M. van Dorsselaer and Michiel E. Hochstenbach
                 and Henk A. van der Vorst",
  title =        "Computing probabilistic bounds for extreme eigenvalues
                 of symmetric matrices with the {Lanczos} method",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "22",
  number =       "3",
  pages =        "837--852",
  year =         "2000",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479800366859",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F15 (15A42)",
  MRnumber =     "MR1799527 (2001j:65061)",
  MRreviewer =   "Jin Yun Yuan",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/22/3;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib;
                 MathSciNet database",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/36685",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Voss:2000:SEL,
  author =       "Heinrich Voss",
  title =        "A symmetry exploiting {Lanczos} method for symmetric
                 {Toeplitz} matrices",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "25",
  number =       "1--4",
  pages =        "377--385",
  month =        sep,
  year =         "2000",
  CODEN =        "NUALEG",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "65F15",
  MRnumber =     "1 827 166",
  bibdate =      "Mon Sep 29 08:37:05 MDT 2003",
  bibsource =    "http://www.kluweronline.com/issn/1017-1398;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 MathSciNet database",
  note =         "Mathematical journey through analysis, matrix theory
                 and scientific computation (Kent, OH, 1999).",
  URL =          "http://ipsapp007.kluweronline.com/content/getfile/5058/3/10/abstract.htm;
                 http://ipsapp007.kluweronline.com/content/getfile/5058/3/10/fulltext.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Wu:2000:TRL,
  author =       "Kesheng Wu and Horst Simon",
  title =        "Thick-Restart {Lanczos} Method for Large Symmetric
                 Eigenvalue Problems",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "22",
  number =       "2",
  pages =        "602--616",
  year =         "2000",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479898334605",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Fri Oct 27 07:23:37 MDT 2000",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/22/2;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/33460",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Antoulas:2001:LLI,
  author =       "A. C. Antoulas and D. C. Sorensen",
  title =        "{Lyapunov}, {Lanczos}, and inertia",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "326",
  number =       "1--3",
  pages =        "137--150",
  day =          "15",
  month =        mar,
  year =         "2001",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Mon Mar 19 19:03:24 MST 2001",
  bibsource =    "http://www.elsevier.com/locate/laa;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.elsevier.nl/gej-ng/10/30/19/148/24/32/abstract.html;
                 http://www.elsevier.nl/gej-ng/10/30/19/148/24/32/article.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Bai:2001:PPL,
  author =       "Zhaojun Bai and Roland W. Freund",
  title =        "A partial {Pad{\'e}-via-Lanczos} method for
                 reduced-order modeling",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "332--334",
  number =       "1",
  pages =        "139--164",
  day =          "1",
  month =        aug,
  year =         "2001",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Wed Jul 25 17:54:46 MDT 2001",
  bibsource =    "http://www.elsevier.com/locate/laa;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.elsevier.nl/gej-ng/10/30/19/157/25/34/abstract.html;
                 http://www.elsevier.nl/gej-ng/10/30/19/157/25/34/article.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Bai:2001:SBL,
  author =       "Zhaojun Bai and Roland W. Freund",
  title =        "A Symmetric Band {Lanczos} Process Based on Coupled
                 Recurrences and Some Applications",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "23",
  number =       "2",
  pages =        "542--562",
  month =        mar,
  year =         "2001",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/S1064827500371773",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Wed Jul 25 09:55:57 MDT 2001",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/23/2;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/37177",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{Cooper:2001:ESO,
  author =       "A. Cooper and M. Szularz and J. Weston",
  title =        "External selective orthogonalization for the {Lanczos}
                 algorithm in distributed memory environments",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "27",
  number =       "7",
  pages =        "913--923",
  month =        jun,
  year =         "2001",
  CODEN =        "PACOEJ",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  bibdate =      "Wed Jul 18 06:31:16 MDT 2001",
  bibsource =    "http://www.elsevier.com/locate/issn/01678191;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.elsevier.nl/gej-ng/10/35/21/47/31/27/abstract.html;
                 http://www.elsevier.nl/gej-ng/10/35/21/47/31/27/article.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Parallel Computing",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191",
}

@InCollection{Craig:2001:KLM,
  author =       "R. R. {Craig, Jr.}",
  title =        "{Krylov--Lanczos} Methods",
  crossref =     "Braun:2002:EV",
  pages =        "691--698",
  year =         "2001",
  DOI =          "https://doi.org/10.1006/rwvb.2001.0011",
  bibdate =      "Fri Jun 10 17:29:30 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Fierro:2001:LHT,
  author =       "Ricardo D. Fierro",
  title =        "{Lanczos}, {Householder} transformations, and implicit
                 deflation for fast and reliable dominant singular
                 subspace computation",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "8",
  number =       "4",
  pages =        "245--264",
  month =        jun,
  year =         "2001",
  CODEN =        "NLAAEM",
  DOI =          "https://doi.org/10.1002/nla.240",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Linear Algebra with Applications",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
  onlinedate =   "26 Mar 2001",
}

@Unpublished{Godfrey:2001:NCC,
  author =       "P. Godfrey",
  title =        "A Note on the Computation of the Convergent {Lanczos}
                 Complex Gamma Approximation",
  year =         "2001",
  bibdate =      "Mon Nov 24 21:04:40 2008",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Unpublished Web file.",
  URL =          "http://my.fit.edu/~gabdo/gamma.txt",
  acknowledgement = ack-nhfb,
}

@Article{Hanke:2001:LBM,
  author =       "Martin Hanke",
  title =        "On {Lanczos} based methods for the regularization of
                 discrete ill-posed problems",
  journal =      j-BIT-NUM-MATH,
  volume =       "41",
  number =       "5",
  pages =        "1008--1018",
  month =        dec,
  year =         "2001",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1023/A:1021941328858",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  bibdate =      "Wed Jan 4 15:06:05 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=41&issue=5;
                 http://www.mai.liu.se/BIT/contents/bit41.html;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=41&issue=5&spage=1008",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Article{Honecker:2001:LSF,
  author =       "A. Honecker",
  title =        "{Lanczos} study of the $ {S} = 1 / 2 $ frustrated
                 square-lattice anti-ferromagnet in a magnetic field",
  journal =      j-CAN-J-PHYS,
  volume =       "79",
  number =       "??",
  pages =        "1557--1563",
  month =        "????",
  year =         "2001",
  CODEN =        "CJPHAD",
  DOI =          "https://doi.org/10.1139/p01-095",
  ISSN =         "0008-4204 (print), 1208-6045 (electronic)",
  ISSN-L =       "0008-4204",
  bibdate =      "Fri Jun 10 13:29:02 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Canadian Journal of Physics = Journal canadien de
                 physique",
  journal-URL =  "http://www.nrcresearchpress.com/journal/cjp",
}

@Article{Meerbergen:2001:CPR,
  author =       "K. Meerbergen",
  title =        "Changing poles in the rational {Lanczos} method for
                 the {Hermitian} eigenvalue problem",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "8",
  number =       "1",
  pages =        "33--52",
  month =        jan # "\slash " # feb,
  year =         "2001",
  CODEN =        "NLAAEM",
  DOI =          "https://doi.org/10.1002/1099-1506(200101/02)8",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "http://www.interscience.wiley.com/jpages/1070-5325;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www3.interscience.wiley.com/journalfinder.html",
  URL =          "http://www3.interscience.wiley.com/cgi-bin/abstract/76501452/START;
                 http://www3.interscience.wiley.com/cgi-bin/fulltext?ID=76501452&PLACEBO=IE.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Linear Algebra with Applications",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
  onlinedate =   "5 Dec 2000",
}

@Article{Meerbergen:2001:LMS,
  author =       "Karl Meerbergen",
  title =        "The {Lanczos} method with semi-definite inner
                 product",
  journal =      j-BIT-NUM-MATH,
  volume =       "41",
  number =       "5",
  pages =        "1069--1078",
  month =        dec,
  year =         "2001",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1023/A:1021953631584",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  bibdate =      "Wed Jan 4 15:06:05 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=41&issue=5;
                 http://www.mai.liu.se/BIT/contents/bit41.html;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=41&issue=5&spage=1069",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Article{Morigi:2001:RCL,
  author =       "S. Morigi and F. Sgallari",
  title =        "A regularizing {$L$}-curve {Lanczos} method for
                 underdetermined linear systems",
  journal =      j-APPL-MATH-COMP,
  volume =       "121",
  number =       "1",
  pages =        "55--73",
  day =          "25",
  month =        may,
  year =         "2001",
  CODEN =        "AMHCBQ",
  ISSN =         "0096-3003 (print), 1873-5649 (electronic)",
  ISSN-L =       "0096-3003",
  bibdate =      "Tue Jul 17 08:45:13 MDT 2001",
  bibsource =    "http://www.elsevier.com/locate/issn/00963003;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.elsevier.nl/gej-ng/10/9/12/105/21/25/abstract.html;
                 http://www.elsevier.nl/gej-ng/10/9/12/105/21/25/article.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Mathematics and Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00963003",
}

@Article{Murga:2001:NAC,
  author =       "Leonel F. Murga and Mary Jo Ondrechen",
  title =        "Numerical Aspects of the Calculation of Second
                 Hyperpolarizabilities Using the Finite Field Method
                 Coupled with a Simple {Lanczos} Algorithm",
  journal =      j-J-COMPUT-CHEM,
  volume =       "22",
  number =       "4",
  pages =        "468--474",
  month =        mar,
  year =         "2001",
  CODEN =        "JCCHDD",
  DOI =          "https://doi.org/10.1002/1096-987X(200103)22",
  ISSN =         "0192-8651 (print), 1096-987X (electronic)",
  ISSN-L =       "0192-8651",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputchem2000.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Chemistry",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-987X",
  onlinedate =   "14 Feb 2001",
}

@InCollection{OLeary:2001:IMS,
  author =       "Dianne P. O'Leary",
  title =        "Iteration Method for the Solution of the Eigenvalue
                 Problem of Linear Differential and Integral Operators",
  crossref =     "Lide:2001:CEM",
  pages =        "77--80",
  year =         "2001",
  bibdate =      "Wed Oct 25 15:17:38 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib",
  URL =          "https://nvlpubs.nist.gov/nistpubs/sp958-lide/077-080.pdf",
  acknowledgement = ack-nhfb,
  subject-dates = "Magnus Rudolph Hestenes (13 February 1906--31 May
                 1991); Olga Taussky-Todd (30 August 1906--7 October
                 1995)",
}

@Article{vanDorsselaer:2001:CPB,
  author =       "Jos L. M. van Dorsselaer and Michiel E. Hochstenbach
                 and Henk A. van der Vorst",
  title =        "Computing Probabilistic Bounds for Extreme Eigenvalues
                 of Symmetric Matrices with the {Lanczos} Method",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "22",
  number =       "3",
  pages =        "837--852",
  month =        jul,
  year =         "2001",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Wed Oct 23 08:36:30 MDT 2002",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/22/3;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/36685",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Voss:2001:VIL,
  author =       "Heinrich Voss",
  title =        "A variant of the inverted {Lanczos} method",
  journal =      j-BIT-NUM-MATH,
  volume =       "41",
  number =       "5",
  pages =        "1111--1120",
  month =        "????",
  year =         "2001",
  CODEN =        "BITTEL, NBITAB",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  bibdate =      "Thu Oct 16 08:15:34 2003",
  bibsource =    "http://www.mai.liu.se/BIT/contents/bit41.html;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://link.springer.com/journal/10543",
}

@MastersThesis{Wang:2001:IRA,
  author =       "Xianyao Wang",
  title =        "The {Implicitly Restarted Arnoldi (IRA)} method for
                 eigenanalysis of large power systems",
  type =         "Thesis ({M.S.})",
  school =       "University of Missouri--Rolla",
  address =      "Rolla, MO, USA",
  pages =        "x + 91",
  year =         "2001",
  bibdate =      "Thu Jun 9 11:13:14 MDT 2011",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Weaire:2001:BRL,
  author =       "Denis Weaire",
  title =        "Book Review: {{\booktitle{A life's work in exile
                 Cornelius Lanczos: collected published papers with
                 commentaries}}. North Carolina State University, 1999
                 ISBN 0-929493-01-X}",
  journal =      j-EUROPHYS-NEWS,
  volume =       "32",
  number =       "1",
  pages =        "27--27",
  month =        jan # "\slash " # feb,
  year =         "2001",
  CODEN =        "EUPNAS",
  ISSN =         "0531-7479 (print), 1432-1092 (electronic)",
  ISSN-L =       "0531-7479",
  bibdate =      "Mon May 21 16:45:39 2018",
  URL =          "https://www.europhysicsnews.org/articles/epn/pdf/2001/01/epn2001-32-1.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Europhysics News",
  journal-URL =  "http://www.europhysicsnews.org",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
}

@Article{Calvetti:2002:CCB,
  author =       "D. Calvetti and P. C. Hansen and L. Reichel",
  title =        "{$L$}-curve curvature bounds via {Lanczos}
                 bidiagonalization",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "14",
  pages =        "20--35",
  year =         "2002",
  CODEN =        "????",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  bibdate =      "Mon Sep 6 12:28:29 MDT 2010",
  bibsource =    "http://etna.mcs.kent.edu/;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://etna.mcs.kent.edu/vol.14.2002/pp20-35.dir/pp20-35.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Electronic Transactions on Numerical Analysis",
  journal-URL =  "http://etna.mcs.kent.edu/",
}

@Article{Calvetti:2002:LBE,
  author =       "D. Calvetti and L. Reichel",
  title =        "{Lanczos}-Based Exponential Filtering for Discrete
                 Ill-Posed Problems",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "29",
  number =       "1--3",
  pages =        "45--65",
  month =        mar,
  year =         "2002",
  CODEN =        "NUALEG",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  bibdate =      "Thu Apr 11 06:41:52 MDT 2002",
  bibsource =    "http://www.kluweronline.com/issn/1017-1398;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://ipsapp008.lwwonline.com/content/getfile/5058/38/4/abstract.htm;
                 http://ipsapp008.lwwonline.com/content/getfile/5058/38/4/fulltext.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Cooper:2002:ALE,
  author =       "A. Cooper and M. Szularz and J. Weston",
  title =        "Analysis of the {Lanczos} Error Bounds and Its
                 Application to the Explicitly Restarted {Lanczos}
                 Algorithm",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "2328",
  pages =        "410--??",
  year =         "2002",
  CODEN =        "LNCSD9",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  bibdate =      "Tue Sep 10 19:09:33 MDT 2002",
  bibsource =    "http://link.springer-ny.com/link/service/series/0558/tocs/t2328.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://link.springer-ny.com/link/service/series/0558/bibs/2328/23280410.htm;
                 http://link.springer-ny.com/link/service/series/0558/papers/2328/23280410.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Lecture Notes in Computer Science",
  journal-URL =  "http://link.springer.com/bookseries/558",
}

@Book{Cullum:2002:LAL,
  author =       "Jane K. Cullum and Ralph A. Willoughby",
  title =        "{Lanczos} algorithms for large symmetric eigenvalue
                 computations",
  volume =       "41",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xx + 268",
  year =         "2002",
  ISBN =         "0-89871-523-7 (paperback)",
  ISBN-13 =      "978-0-89871-523-1 (paperback)",
  LCCN =         "QA193 .C84 2002",
  bibdate =      "Wed Jun 8 14:42:43 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Classics in applied mathematics",
  URL =          "http://www.loc.gov/catdir/enhancements/fy0664/2002075847-d.html;
                 http://www.loc.gov/catdir/enhancements/fy0664/2002075847-t.html",
  acknowledgement = ack-nhfb,
  remark =       "Originally published: Boston:Birkh{\"a}user, 1985-, in
                 series: Progress in scientific computing ; v. 3. v. 1.
                 Theory.",
  subject =      "Symmetric matrices; Data processing; Eigenvalues",
}

@Article{Cullum:2002:TSA,
  author =       "Jane Cullum and Tong Zhang",
  title =        "Two-Sided {Arnoldi} and Nonsymmetric {Lanczos}
                 Algorithms",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "24",
  number =       "2",
  pages =        "303--319",
  year =         "2002",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479898339013",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Tue Oct 22 18:08:00 MDT 2002",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/24/2;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/33901",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Fasino:2002:LTA,
  author =       "Dario Fasino and Luca Gemignani",
  title =        "A {Lanczos}-type algorithm for the {$ Q R $}
                 factorization of regular {Cauchy} matrices",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "9",
  number =       "4",
  pages =        "305--319",
  month =        jun,
  year =         "2002",
  CODEN =        "NLAAEM",
  DOI =          "https://doi.org/10.1002/nla.275",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "http://www.interscience.wiley.com/jpages/1070-5325;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www3.interscience.wiley.com/journalfinder.html",
  URL =          "http://www3.interscience.wiley.com/cgi-bin/abstract/92012855/START;
                 http://www3.interscience.wiley.com/cgi-bin/fulltext?ID=92012855&PLACEBO=IE.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Linear Algebra with Applications",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
  onlinedate =   "25 Mar 2002",
}

@InBook{Hazewinkel:2002:EM,
  editor =       "Michiel Hazewinkel",
  booktitle =    "Encyclopaedia of mathematics",
  title =        "Tau method",
  pages =        "??--??",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  year =         "2002",
  ISBN =         "1-4020-0609-8",
  ISBN-13 =      "978-1-4020-0609-8",
  LCCN =         "QA5 20",
  bibdate =      "Mon Jun 13 12:57:15 MDT 2011",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://eom.springer.de/t/t130040.htm",
  acknowledgement = ack-nhfb,
  remark =       "The article notes that Tau-Method approximations are
                 of the order of the best uniform or rational polynomial
                 approximations. While they are not difficult to
                 evaluate, they are more difficult to generate in the
                 first place, and it seems uncertain whether they offer
                 any advantages over the easier-to-compute Chebyshev or
                 minimax approximations that are available in some
                 symbolic-algebra systems.",
  subject =      "Mathematics; Encyclopedias",
}

@Article{Huhtanen:2002:HLM,
  author =       "Marko Huhtanen",
  title =        "A {Hermitian} {Lanczos} Method for Normal Matrices",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "23",
  number =       "4",
  pages =        "1092--1108",
  year =         "2002",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479800398468",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Fri Apr 12 05:26:56 MDT 2002",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/23/4;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/39846",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Odekunle:2002:SBV,
  author =       "M. R. Odekunle",
  title =        "Solution of boundary value problems by
                 {Lanczos--Legendre} reduction method",
  journal =      j-APPL-MATH-COMP,
  volume =       "131",
  number =       "2--3",
  pages =        "321--327",
  day =          "25",
  month =        sep,
  year =         "2002",
  CODEN =        "AMHCBQ",
  ISSN =         "0096-3003 (print), 1873-5649 (electronic)",
  ISSN-L =       "0096-3003",
  bibdate =      "Fri Jan 9 08:40:42 MST 2004",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Mathematics and Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00963003",
}

@Article{Phatak:2002:ECB,
  author =       "Aloke Phatak and Frank de Hoog",
  title =        "Exploiting the connection between {PLS}, {Lanczos}
                 methods and conjugate gradients: alternative proofs of
                 some properties of {PLS}",
  journal =      j-J-CHEMOM,
  volume =       "16",
  number =       "7",
  pages =        "361--367",
  month =        jul,
  year =         "2002",
  CODEN =        "JOCHEU",
  DOI =          "https://doi.org/10.1002/cem.728",
  ISSN =         "0886-9383 (print), 1099-128x (electronic)",
  ISSN-L =       "0886-9383",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Chemometrics",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-128X",
  onlinedate =   "17 Jun 2002",
}

@Article{Rollin:2002:VZL,
  author =       "Stefan R{\"o}llin and Martin H. Gutknecht",
  title =        "Variations of {Zhang}'s {Lanczos}-type product
                 method",
  journal =      j-APPL-NUM-MATH,
  volume =       "41",
  number =       "1",
  pages =        "119--133",
  month =        apr,
  year =         "2002",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  ISSN-L =       "0168-9274",
  bibdate =      "Mon Feb 25 12:44:11 MST 2002",
  bibsource =    "http://www.elsevier.com/locate/issn/01689274;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.elsevier.com/gej-ng/10/10/28/86/27/35/abstract.html",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Numerical Mathematics: Transactions of IMACS",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01689274",
}

@Article{Stewart:2002:ARQ,
  author =       "G. W. Stewart",
  title =        "Adjusting the {Rayleigh} Quotient in Semiorthogonal
                 {Lanczos} Methods",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "24",
  number =       "1",
  pages =        "201--207",
  month =        jan,
  year =         "2002",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/S1064827501388984",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Tue Oct 22 18:24:38 MDT 2002",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/24/1;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/38898",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{VanIseghem:2002:VOL,
  author =       "Jeannette {Van Iseghem}",
  title =        "Vector-Orthogonality and {Lanczos}-Type Methods",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "29",
  number =       "1--3",
  pages =        "267--279",
  month =        mar,
  year =         "2002",
  CODEN =        "NUALEG",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  bibdate =      "Thu Apr 11 06:41:52 MDT 2002",
  bibsource =    "http://www.kluweronline.com/issn/1017-1398;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://ipsapp008.lwwonline.com/content/getfile/5058/38/15/abstract.htm;
                 http://ipsapp008.lwwonline.com/content/getfile/5058/38/15/fulltext.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Baglama:2003:IIR,
  author =       "J. Baglama and D. Calvetti and L. Reichel",
  title =        "{IRBL}: An Implicitly Restarted Block-{Lanczos} Method
                 for Large-Scale {Hermitian} Eigenproblems",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "24",
  number =       "5",
  pages =        "1650--1677",
  month =        sep,
  year =         "2003",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/S1064827501397949",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Wed Aug 20 06:34:28 MDT 2003",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/24/5;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/39794",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{Chien:2003:ALA,
  author =       "C.-S. Chien and S.-L. Chang",
  title =        "Application of the {Lanczos} algorithm for solving the
                 linear systems that occur in continuation problems",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "10",
  number =       "4",
  pages =        "335--355",
  month =        jun,
  year =         "2003",
  CODEN =        "NLAAEM",
  DOI =          "https://doi.org/10.1002/nla.306",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "http://www.interscience.wiley.com/jpages/1070-5325;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www3.interscience.wiley.com/journalfinder.html",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Linear Algebra with Applications",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
  onlinedate =   "30 Oct 2002",
}

@Article{Dolan:2003:EDS,
  author =       "P. Dolan and A. Gerber",
  title =        "Exterior differential systems, {Janet--Riquier} theory
                 and the {Riemann--Lanczos} problems in two, three, and
                 four dimensions",
  journal =      j-J-MATH-PHYS,
  volume =       "44",
  number =       "7",
  pages =        "3013--3034",
  month =        jul,
  year =         "2003",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.1566095",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  bibdate =      "Tue Dec 16 11:36:04 MST 2003",
  bibsource =    "http://www.aip.org/ojs/jmp.html;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
}

@Article{Dolan:2003:WLE,
  author =       "P. Dolan and A. Gerber",
  title =        "The {Weyl--Lanczos} equations and the {Lanczos} wave
                 equation in four dimensions as systems in involution",
  journal =      j-J-MATH-PHYS,
  volume =       "44",
  number =       "7",
  pages =        "3035--3045",
  month =        jul,
  year =         "2003",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.1566096",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  bibdate =      "Tue Dec 16 11:36:04 MST 2003",
  bibsource =    "http://www.aip.org/ojs/jmp.html;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
}

@Article{Edgar:2003:ECR,
  author =       "S. Brian Edgar",
  title =        "On effective constraints for the {Riemann--Lanczos}
                 system of equations",
  journal =      j-J-MATH-PHYS,
  volume =       "44",
  number =       "11",
  pages =        "5375--5385",
  month =        nov,
  year =         "2003",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.1619203",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  bibdate =      "Tue Dec 16 11:36:07 MST 2003",
  bibsource =    "http://www.aip.org/ojs/jmp.html;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
}

@Article{Gerber:2003:PMC,
  author =       "A. Gerber",
  title =        "Prolongation methods and {Cartan} characters for the
                 three-dimensional {Riemann--Lanczos} problem",
  journal =      j-J-MATH-PHYS,
  volume =       "44",
  number =       "7",
  pages =        "3059--3070",
  month =        jul,
  year =         "2003",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.1578181",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  bibdate =      "Tue Dec 16 11:36:04 MST 2003",
  bibsource =    "http://www.aip.org/ojs/jmp.html;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
}

@Article{Jia:2003:IRR,
  author =       "Zhongxiao Jia and Datian Niu",
  title =        "An Implicitly Restarted Refined Bidiagonalization
                 {Lanczos} Method for Computing a Partial Singular Value
                 Decomposition",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "25",
  number =       "1",
  pages =        "246--265",
  year =         "2003",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479802404192",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Fri Aug 15 05:16:22 MDT 2003",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/25/1;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/40419",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Kim:2003:DAS,
  author =       "Byoung-Wan Kim and Hyung-Jo Jung and Woon-Hak Kim and
                 In-Won Lee",
  title =        "Dynamic analysis of structures using modified
                 {Lanczos} co-ordinates",
  journal =      j-EARTHQUAKE-ENG-STRUCT-DYN,
  volume =       "32",
  number =       "9",
  pages =        "1469--1474",
  day =          "25",
  month =        jul,
  year =         "2003",
  CODEN =        "IJEEBG",
  DOI =          "https://doi.org/10.1002/eqe.284",
  ISSN =         "0098-8847 (print), 1096-9845 (electronic)",
  ISSN-L =       "0098-8847",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Earthquake engineering \& structural dynamics",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-9845",
  onlinedate =   "9 May 2003",
}

@Book{Komzsik:2003:LME,
  author =       "Louis Komzsik",
  title =        "The {Lanczos} method: evolution and application",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xii + 87",
  year =         "2003",
  ISBN =         "0-89871-537-7 (paperback)",
  ISBN-13 =      "978-0-89871-537-8 (paperback)",
  LCCN =         "QA76.9.M35 .K66 2003",
  bibdate =      "Wed Jun 8 14:42:43 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 melvyl.cdlib.org:210/CDL90;
                 z3950.loc.gov:7090/Voyager",
  series =       "Software, environments, tools",
  URL =          "http://www.loc.gov/catdir/enhancements/fy0708/2002044643-d.html;
                 http://www.loc.gov/catdir/enhancements/fy0708/2002044643-t.html",
  acknowledgement = ack-nhfb,
  subject =      "Computer science; Mathematics; Numerical analysis;
                 Computer algorithms; Eigenvalues",
  tableofcontents = "Preface \\
                 Part I: Evolution \\
                 Chapter 1: The classical Lanczos method \\
                 Chapter 2: The Lanczos method in exact arithmetic \\
                 Chapter 3: The Lanczos method in finite precision \\
                 Chapter 4: Block real symmetric Lanczos method \\
                 Chapter 5: Block unsymmetric Lanczos method \\
                 Part II: Applications \\
                 Chapter 6: Industrial implementation of the Lanczos
                 method \\
                 Chapter 7: Free undamped vibrations \\
                 Chapter 8: Free damped vibrations \\
                 Chapter 9: Forced vibration analysis \\
                 Chapter 10: Linear systems and the Lanczos method \\
                 Closing Remarks \\
                 A Brief Biography of Cornelius Lanczos \\
                 Bibliography \\
                 Index",
}

@Article{Malyshev:2003:CNL,
  author =       "A. Malyshev and M. Sadkane",
  title =        "Condition numbers for {Lanczos} bidiagonalization with
                 complete reorthogonalization",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "371",
  number =       "1",
  pages =        "315--331",
  day =          "15",
  month =        sep,
  year =         "2003",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Tue Sep 16 08:20:04 MDT 2003",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Book{McCartney:2003:PIP,
  editor =       "Mark McCartney and Andrew Whitaker",
  title =        "Physicists of {Ireland}: passion and precision",
  publisher =    "Institute of Physics Publishers",
  address =      "Bristol and Philadelphia",
  pages =        "xiv + 298",
  year =         "2003",
  ISBN =         "0-7503-0866-4 (hardback)",
  ISBN-13 =      "978-0-7503-0866-3 (hardback)",
  LCCN =         "QC15 .P47 2003",
  bibdate =      "Wed Jun 8 14:42:43 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/notes-rec-r-soc-lond.bib;
                 z3950.loc.gov:7090/Voyager",
  URL =          "http://www.loc.gov/catdir/enhancements/fy0806/2007298520-d.html;
                 http://www.loc.gov/catdir/toc/fy0802/2007298520.html",
  acknowledgement = ack-nhfb,
  remark =       "William Petty 1623--1687 / by Norman D. McMillan \\
                 Robert Boyle 1627--1691 / by D. Thorburn Burns \\
                 William Molyneux 1656--1698 / by Patrick Wayman and
                 Norman D. McMillan \\
                 Nicholas Callan 1799--1864 / by Niall E. McKeith \\
                 William Parsons, Earl of Rosse 1800--1867 / by Bob
                 Strunz \\
                 Humphrey Lloyd 1800--1881 / by James G. O'Hara \\
                 Thomas Grubb 1800--1878 and Howard Grubb 1844--1931 /
                 by Andrew Whitaker \\
                 William Rowan Hamilton 1805--1865 / by John J. O'Connor
                 and Edmund F. Robertson \\
                 James MacCullagh 1809--1847 / by James G. O'Hara \\
                 Thomas Andrews 1813--1885 / by D. Thorburn Burns \\
                 George Gabriel Stokes 1819--1903 / by Alastair Wood \\
                 John Tyndall 1820--1893 / by Norman D. McMillan \\
                 Samuel Haughton 1821--1897 / by Norman D. McMillan \\
                 William Thomson, Lord Kelvin 1824--1907 / by Mark
                 McCartney \\
                 George Johnstone Stoney 1826--1911 / by James G. O'Hara
                 \\
                 George Francis FitzGerald 1851--1901 / by John J.
                 O'Connor and Edmund F. Robertson \\
                 John Joly 1857--1933 / by Denis Weaire and Stephen
                 Coonan \\
                 Joseph Larmor 1857--1942 / by Raymond Flood \\
                 Frederick Thomas Trouton 1863--1922 / by James G.
                 O'Hara \\
                 John Sealy Edward Townsend 1868--1957 / by Mark
                 McCartney \\
                 John A. McClelland 1870--1920 / by Thomas C. O'Connor
                 \\
                 Erwin Schr{\"o}dinger 1887--1961 / by Andrew Whitaker
                 \\
                 Cornelius Lanczos 1893--1974 / by Barbara Gellai \\
                 John Synge 1897--1995 / by Petros S. Florides \\
                 John Desmond Bernal 1901--1971 / by Roy Johnston \\
                 Ernest Walton 1903--1995 / by Brian Cathcart \\
                 Walter Heitler 1904--1981 / by David Glass \\
                 Sir William McCrea 1904--1999 / by Iwan Williams \\
                 Cormac {\'O}Ceallaigh 1912--1996 / by Mark McCartney
                 \\
                 David Bates 1916--1994 / by Ray Flannery \\
                 John Stewart Bell 1928--1990 / by Andrew Whitaker \\
                 Lochlainn {\'O}Raifeartaigh 1933--2000 / by Siddhartha
                 Sen \\
                 Index of names",
  subject =      "Physicists; Ireland; Biography; Physiciens; Irlande;
                 Biographies; Natuurkundigen",
}

@Article{Odekunle:2003:PEE,
  author =       "M. R. Odekunle and M. A. Ibiejugba and P. Onumanyi",
  title =        "A posteriori error estimator for {Lanczos--Chebyshev}
                 reduction method",
  journal =      j-APPL-MATH-COMP,
  volume =       "137",
  number =       "2--3",
  pages =        "245--252",
  day =          "25",
  month =        may,
  year =         "2003",
  CODEN =        "AMHCBQ",
  ISSN =         "0096-3003 (print), 1873-5649 (electronic)",
  ISSN-L =       "0096-3003",
  bibdate =      "Fri Jan 9 08:40:55 MST 2004",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Mathematics and Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00963003",
}

@Article{Odekunle:2003:SLC,
  author =       "M. R. Odekunle",
  title =        "Segmented {Lanczos--Chebyshev} reduction method for
                 convection dominated flows",
  journal =      j-APPL-MATH-LETT,
  volume =       "16",
  number =       "5",
  pages =        "777--784",
  year =         "2003",
  CODEN =        "AMLEEL",
  DOI =          "https://doi.org/10.1016/S0893-9659(03)00082-X",
  ISSN =         "0893-9659 (print), 1873-5452 (electronic)",
  ISSN-L =       "0893-9659",
  bibdate =      "Fri Jun 10 12:27:16 2011",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/appml/appml16.html#Odekunle03;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Mathematics Letters",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08939659",
}

@Article{Simoncini:2003:AFS,
  author =       "V. Simoncini",
  title =        "Algebraic formulations for the solution of the
                 nullspace-free eigenvalue problem using the inexact
                 {Shift-and-Invert Lanczos} method",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "10",
  number =       "4",
  pages =        "357--375",
  month =        jun,
  year =         "2003",
  CODEN =        "NLAAEM",
  DOI =          "https://doi.org/10.1002/nla.307",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "http://www.interscience.wiley.com/jpages/1070-5325;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www3.interscience.wiley.com/journalfinder.html",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Linear Algebra with Applications",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
  onlinedate =   "30 Oct 2002",
}

@Article{Borchers:2004:BRL,
  author =       "Brian Borchers",
  title =        "Book Review: {{\em The Lanczos Method: Evolution and
                 Application}, by Louis Komzsik}",
  journal =      j-SCI-PROG,
  volume =       "12",
  number =       "3",
  pages =        "197--198",
  month =        "????",
  year =         "2004",
  CODEN =        "SCIPEV",
  ISSN =         "1058-9244 (print), 1875-919X (electronic)",
  ISSN-L =       "1058-9244",
  bibdate =      "Wed Sep 1 14:50:28 MDT 2010",
  bibsource =    "http://www.iospress.nl/;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Scientific Programming",
  journal-URL =  "http://iospress.metapress.com/content/1058-9244",
}

@Article{Dolan:2004:WLR,
  author =       "P. Dolan and A. Gerber",
  title =        "The {Weyl--Lanczos} relations and the four-dimensional
                 {Lanczos} tensor wave equation and some symmetry
                 generators",
  journal =      j-J-MATH-PHYS,
  volume =       "45",
  number =       "1",
  pages =        "310--326",
  month =        jan,
  year =         "2004",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.1625076",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  bibdate =      "Fri Jun 10 07:45:40 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
}

@Article{Guennouni:2004:BLM,
  author =       "A. El Guennouni and K. Jbilou and H. Sadok",
  title =        "The block {Lanczos} method for linear systems with
                 multiple right-hand sides",
  journal =      j-APPL-NUM-MATH,
  volume =       "51",
  number =       "2--3",
  pages =        "243--256",
  month =        nov,
  year =         "2004",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  ISSN-L =       "0168-9274",
  bibdate =      "Sat May 14 10:50:47 MDT 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www.sciencedirect.com/science/journal/01689274",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Numerical Mathematics: Transactions of IMACS",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01689274",
}

@Article{Kokiopoulou:2004:CSS,
  author =       "E. Kokiopoulou and C. Bekas and E. Gallopoulos",
  title =        "Computing smallest singular triplets with implicitly
                 restarted {Lanczos} bidiagonalization",
  journal =      j-APPL-NUM-MATH,
  volume =       "49",
  number =       "1",
  pages =        "39--61",
  month =        apr,
  year =         "2004",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  ISSN-L =       "0168-9274",
  bibdate =      "Sat May 14 10:50:46 MDT 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www.sciencedirect.com/science/journal/01689274",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Numerical Mathematics: Transactions of IMACS",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01689274",
}

@Article{Maslen:2004:CIP,
  author =       "David K. Maslen and Michael E. Orrison and Daniel N.
                 Rockmore",
  title =        "Computing Isotypic Projections with the {Lanczos}
                 Iteration",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "25",
  number =       "3",
  pages =        "784--803",
  year =         "2004",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479801399778",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Sat Apr 16 10:32:32 MDT 2005",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/25/3;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/39977",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@PhdThesis{Pugh:2004:ALG,
  author =       "Glendon Ralpha Pugh",
  title =        "An Analysis of the {Lanczos} Gamma Approximation",
  type =         "{Ph.D.} thesis",
  school =       "Department of Mathematics, University of British
                 Columbia",
  address =      "Vancouver, BC, Canada",
  pages =        "viii + 154",
  month =        "????",
  year =         "2004",
  ISBN =         "0-612-99536-4",
  ISBN-13 =      "978-0-612-99536-9",
  LCCN =         "AW5 .B7 2005-995364",
  bibdate =      "Mon Nov 24 20:55:30 2008",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Wang:2004:USC,
  author =       "Xiao-Gang Wang and Tucker {Carrington, Jr.}",
  title =        "Using simply contracted basis functions with the
                 {Lanczos} algorithm to calculate vibrational spectra",
  journal =      j-IJQC,
  volume =       "99",
  number =       "4",
  pages =        "556--566",
  day =          "15",
  month =        sep,
  year =         "2004",
  CODEN =        "IJQCB2",
  DOI =          "https://doi.org/10.1002/qua.10847",
  ISSN =         "0020-7608 (print), 1097-461X (electronic)",
  ISSN-L =       "0020-7608",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal of Quantum Chemistry",
  journal-URL =  "http://www.interscience.wiley.com/jpages/0020-7608/",
  onlinedate =   "29 Dec 2003",
}

@Article{Watkins:2004:HSL,
  author =       "David S. Watkins",
  title =        "On {Hamiltonian} and symplectic {Lanczos} processes",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "385",
  number =       "1",
  pages =        "23--45",
  day =          "1",
  month =        jul,
  year =         "2004",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Tue Nov 9 07:02:35 MST 2004",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www.sciencedirect.com/science/journal/00243795",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Baglama:2005:AIR,
  author =       "James Baglama and Lothar Reichel",
  title =        "Augmented Implicitly Restarted {Lanczos}
                 Bidiagonalization Methods",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "27",
  number =       "1",
  pages =        "19--42",
  month =        jan,
  year =         "2005",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/04060593X",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Mon Nov 21 14:52:50 MST 2005",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/27/1;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/60593",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{Borisov:2005:LPM,
  author =       "Andrei G. Borisov and Sergei V. Shabanov",
  title =        "{Lanczos} pseudospectral method for initial-value
                 problems in electrodynamics and its applications to
                 ionic crystal gratings",
  journal =      j-J-COMPUT-PHYS,
  volume =       "209",
  number =       "2",
  pages =        "643--664",
  day =          "1",
  month =        nov,
  year =         "2005",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/j.jcp.2005.03.034",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Mon Jan 2 22:12:55 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0021999105001920",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991",
}

@Article{Chang:2005:CBL,
  author =       "Shu-Ming Chang and Yuen-Cheng Kuo and Wen-Wei Lin and
                 Shih-Feng Shieh",
  title =        "A continuation {BSOR--Lanczos--Galerkin} method for
                 positive bound states of a multi-component
                 {Bose--Einstein} condensate",
  journal =      j-J-COMPUT-PHYS,
  volume =       "210",
  number =       "2",
  pages =        "439--458",
  day =          "10",
  month =        dec,
  year =         "2005",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/j.jcp.2005.04.019",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Mon Jan 2 22:13:15 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0021999105002287",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991",
}

@Article{Druskin:2005:SLR,
  author =       "Vladimir Druskin and Liliana Borcea and Leonid
                 Knizhnerman",
  title =        "On the sensitivity of {Lanczos} recursions to the
                 spectrum",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "396",
  number =       "1",
  pages =        "103--125",
  day =          "1",
  month =        feb,
  year =         "2005",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Sat May 14 07:59:08 MDT 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www.sciencedirect.com/science/journal/00243795",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Fierro:2005:LRS,
  author =       "Ricardo D. Fierro and Eric P. Jiang",
  title =        "{Lanczos} and the {Riemannian SVD} in information
                 retrieval applications",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "12",
  number =       "4",
  pages =        "355--372",
  month =        may,
  year =         "2005",
  CODEN =        "NLAAEM",
  DOI =          "https://doi.org/10.1002/nla.394",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "http://www.interscience.wiley.com/jpages/1070-5325;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www3.interscience.wiley.com/journalfinder.html",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Linear Algebra with Applications",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
  onlinedate =   "17 Jun 2004",
}

@InProceedings{Hovinen:2005:RBL,
  author =       "Bradford Hovinen and Wayne Eberly",
  title =        "A reliable block {Lanczos} algorithm over small finite
                 fields",
  crossref =     "Kauers:2005:IJB",
  pages =        "177--184",
  year =         "2005",
  bibdate =      "Fri Oct 21 06:53:01 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Illge:2005:SGA,
  author =       "Reinhard Illge",
  title =        "Some general ans{\"a}tze for the {Lanczos} potential
                 spinor",
  journal =      j-MATH-NACHR,
  volume =       "278",
  number =       "14",
  pages =        "1681--1688",
  month =        nov,
  year =         "2005",
  CODEN =        "MTMNAQ",
  DOI =          "https://doi.org/10.1002/mana.200310333",
  ISSN =         "0025-584X",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematische Nachrichten",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1522-2616",
  onlinedate =   "29 Sep 2005",
}

@Article{Meerbergen:2005:BRL,
  author =       "Karl Meerbergen",
  title =        "Book review: {{\em The Lanczos method: evolution and
                 application}}",
  journal =      j-MATH-COMPUT,
  volume =       "74",
  number =       "250",
  pages =        "??--??",
  month =        apr,
  year =         "2005",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Tue Aug 2 10:37:16 MDT 2005",
  bibsource =    "http://www.ams.org/mcom/2005-74-250;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.ams.org/mcom/2005-74-250/S0025-5718-04-01757-0/home.html;
                 http://www.ams.org/mcom/2005-74-250/S0025-5718-04-01757-0/S0025-5718-04-01757-0.dvi;
                 http://www.ams.org/mcom/2005-74-250/S0025-5718-04-01757-0/S0025-5718-04-01757-0.pdf;
                 http://www.ams.org/mcom/2005-74-250/S0025-5718-04-01757-0/S0025-5718-04-01757-0.ps;
                 http://www.ams.org/mcom/2005-74-250/S0025-5718-04-01757-0/S0025-5718-04-01757-0.tex",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{vandenEshof:2005:PLA,
  author =       "Jasper van den Eshof and Marlis Hochbruck",
  title =        "Preconditioning {Lanczos} Approximations to the Matrix
                 Exponential",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "27",
  number =       "4",
  pages =        "1438--1457",
  month =        jul,
  year =         "2005",
  CODEN =        "SJOCE3",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Tue Jun 27 09:24:24 MDT 2006",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/27/4;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://epubs.siam.org/volume-27/art_60546.html",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{Wulling:2005:SCC,
  author =       "Wolfgang W{\"u}lling",
  title =        "On Stabilization and Convergence of Clustered {Ritz}
                 Values in the {Lanczos} Method",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "27",
  number =       "3",
  pages =        "891--908",
  month =        jan,
  year =         "2005",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/040608908",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Tue May 18 22:32:04 MDT 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toclist/SIMAX/;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Wulling:2005:SWL,
  author =       "Wolfgang W{\"u}lling",
  title =        "The Stabilization of Weights in the {Lanczos} and
                 Conjugate Gradient Method",
  journal =      j-BIT-NUM-MATH,
  volume =       "45",
  number =       "2",
  pages =        "395--414",
  month =        jun,
  year =         "2005",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/s10543-005-0017-0",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  bibdate =      "Wed Jan 4 15:06:07 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=45&issue=2;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=45&issue=2&spage=395",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Article{Baglama:2006:RBL,
  author =       "James Baglama and Lothar Reichel",
  title =        "Restarted block {Lanczos} bidiagonalization methods",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "43",
  number =       "3",
  pages =        "251--272",
  month =        nov,
  year =         "2006",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-006-9057-z",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  MRclass =      "subject classification (2000); 65F15; 15A18",
  bibdate =      "Tue Jul 8 19:14:29 MDT 2008",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=43&issue=3;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=43&issue=3&spage=251",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
  keywords =     "augmentation; implicit shifts; partial singular value
                 decomposition; restarted iterative method",
}

@Article{Bisseling:2006:MSM,
  author =       "Rob H. Bisseling and Ildik{\'o} Flesch",
  title =        "{Mondriaan} sparse matrix partitioning for attacking
                 cryptosystems by a parallel block {Lanczos} algorithm
                 --- a case study",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "32",
  number =       "7--8",
  pages =        "551--567",
  month =        sep,
  year =         "2006",
  CODEN =        "PACOEJ",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  bibdate =      "Thu Sep 2 17:51:05 MDT 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www.sciencedirect.com/science/journal/01678191",
  acknowledgement = ack-nhfb,
  fjournal =     "Parallel Computing",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191",
}

@TechReport{Denisenko:2006:LMO,
  author =       "P. N. Denisenko",
  title =        "{Lanczos} $ \tau $-method optimal algorithm in {APS}
                 for approximating the mathematical functions",
  institution =  "????",
  address =      "????",
  pages =        "10",
  year =         "2006",
  bibdate =      "Fri Jun 10 12:30:05 2011",
  bibsource =    "DBLP;
                 http://dblp.uni-trier.de/db/journals/corr/corr0603.html#abs-math-0603606;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Based on a talk given at the Workshop on Symbolic
                 Calculations and Exact Methods in Mathematical Physics,
                 Kiev, June 20-26, 2005",
  URL =          "http://arxiv.org/abs/math/0603606",
  abstract =     "A new procedure is constructed by means of APS in
                 APLAN language. The procedure solves the initial-value
                 problem for linear differential equations of order $k$
                 with polynomial coefficients and regular singularity in
                 the initialization point in the interval $ [a, b] $ and
                 computes the algebraic polynomial $ y_n $ of given
                 order $n$. A new algorithm of Lanczos $ \tau $-method
                 is built for this procedure, the solution existence $
                 y_n $ of the initial-value problem proved on this
                 algorithm and also is proved the optimality by
                 precision of order $k$ derivative of the initial-value
                 problem solution.",
  acknowledgement = ack-nhfb,
}

@Article{Garcia:2006:EAW,
  author =       "V. M. Garc{\'\i}a and A. Vidal and V. E. Boria and A.
                 M. Vidal",
  title =        "Efficient and accurate waveguide mode computation
                 using {BI-RME} and {Lanczos} methods",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "65",
  number =       "11",
  pages =        "1773--1788",
  day =          "12",
  month =        mar,
  year =         "2006",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/nme.1520",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "6 Oct 2005",
}

@Article{Hetmaniuk:2006:UAE,
  author =       "U. L. Hetmaniuk and R. B. Lehoucq",
  title =        "Uniform accuracy of eigenpairs from a shift-invert
                 {Lanczos} method",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "28",
  number =       "4",
  pages =        "927--948",
  month =        jan,
  year =         "2006",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/050629288",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Tue May 18 22:32:14 MDT 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toclist/SIMAX/;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Hnetynkova:2006:LTG,
  author =       "Iveta Hn{\v{e}}tynkov{\'a} and Martin Ple{\v{s}}inger
                 and Zden{\v{e}}k Strako{\v{s}}",
  title =        "{Lanczos} tridiagonalization, {Golub--Kahan}
                 bidiagonalization and coreproblem",
  journal =      j-PAMM,
  volume =       "6",
  number =       "1",
  pages =        "717--718",
  month =        dec,
  year =         "2006",
  DOI =          "https://doi.org/10.1002/pamm.200610339",
  ISSN =         "1617-7061",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings in Applied Mathematics and Mechanics",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1617-7061",
  onlinedate =   "23 Jan 2007",
}

@InCollection{Householder:2006:PVV,
  author =       "Alston Scott Householder",
  title =        "Proper values and vectors: normalization and reduction
                 of the matrix (methods of {Krylov, Webber-Voetter,
                 Danilevskii, Hessenberg, Lanczos, Samuelson and Bryan,
                 Leverrier}, etc.)",
  crossref =     "Householder:2006:TMN",
  chapter =      "6",
  pages =        "??--??",
  year =         "2006",
  bibdate =      "Tue Jun 19 06:30:20 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Meurant:2006:LCGa,
  author =       "G{\'e}rard Meurant and Zden{\v{e}}k Strako{\v{s}}",
  title =        "The {Lanczos} and conjugate gradient algorithms in
                 finite precision arithmetic",
  journal =      j-ACTA-NUMERICA,
  volume =       "15",
  pages =        "471--542",
  year =         "2006",
  CODEN =        "ANUMFU",
  DOI =          "https://doi.org/10.1017/S096249290626001X",
  ISBN =         "0-521-86815-7",
  ISBN-13 =      "978-0-521-86815-0",
  ISSN =         "0962-4929 (print), 1474-0508 (electronic)",
  ISSN-L =       "0962-4929",
  MRclass =      "65F15 (65F10 65G50)",
  MRnumber =     "2269746 (2007m:65031)",
  MRreviewer =   "A. Bultheel",
  bibdate =      "Sat Sep 24 10:35:17 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
  abstract =     "The Lanczos and conjugate gradient algorithms were
                 introduced more than five decades ago as tools for
                 numerical computation of dominant eigenvalues of
                 symmetric matrices and for solving linear algebraic
                 systems with symmetric positive definite matrices,
                 respectively. Because of their fundamental relationship
                 with the theory of orthogonal polynomials and Gauss
                 quadrature of the Riemann--Stieltjes integral, the
                 Lanczos and conjugate gradient algorithms represent
                 very interesting general mathematical objects, with
                 highly nonlinear properties which can be conveniently
                 translated from algebraic language into the language of
                 mathematical analysis, and vice versa. The algorithms
                 are also very interesting numerically, since their
                 numerical behaviour can be explained by an elegant
                 mathematical theory, and the interplay between analysis
                 and algebra is useful there too.\par

                 Motivated by this view, the present contribution wishes
                 to pay a tribute to those who have made an
                 understanding of the Lanczos and conjugate gradient
                 algorithms possible through their pioneering work, and
                 to review recent solutions of several open problems
                 that have also contributed to knowledge of the
                 subject.",
  acknowledgement = ack-nhfb,
  ajournal =     "Acta Numer.",
  fjournal =     "Acta Numerica",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=ANU",
  onlinedate =   "16 May 2006",
}

@Book{Meurant:2006:LCGb,
  author =       "G{\'e}rard A. Meurant",
  title =        "The {Lanczos} and conjugate gradient algorithms: from
                 theory to finite precision computations",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xv + 365",
  year =         "2006",
  ISBN =         "0-89871-616-0",
  ISBN-13 =      "978-0-89871-616-0",
  LCCN =         "QA218 .M48 2006",
  bibdate =      "Thu Jun 9 11:53:47 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Software, environments, tools",
  URL =          "http://www.loc.gov/catdir/enhancements/fy0710/2006044391-d.html;
                 http://www.loc.gov/catdir/enhancements/fy0733/2006044391-b.html;
                 http://www.loc.gov/catdir/toc/fy0707/2006044391.html",
  acknowledgement = ack-nhfb,
  subject =      "conjugate gradient methods; algorithms; methodology",
}

@Article{Perjes:2006:WKL,
  author =       "Zolt{\'a}n Perj{\'e}s",
  title =        "The works of {Korn{\'e}l L{\'a}nczos} on the theory of
                 relativity",
  journal =      "Bolyai Society mathematical studies",
  volume =       "??",
  number =       "??",
  pages =        "415--425",
  month =        "????",
  year =         "2006",
  ISBN =         "963-9453-04-8, 3-540-28945-3",
  ISBN-13 =      "978-963-9453-04-3, 978-3-540-28945-6",
  ISSN =         "1217-4696",
  LCCN =         "QA27.H9 P36 2006",
  bibdate =      "Tue Jun 14 15:10:29 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Vandebril:2006:NSC,
  author =       "Raf Vandebril and Marc {Van Barel}",
  title =        "Necessary and sufficient conditions for orthogonal
                 similarity transformations to obtain the
                 {Arnoldi(Lanczos)--Ritz} values",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "414",
  number =       "2--3",
  pages =        "435--444",
  day =          "15",
  month =        apr,
  year =         "2006",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Mon Mar 13 16:56:13 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www.sciencedirect.com/science/journal/00243795",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Ahsan:2007:LPG,
  author =       "Z. Ahsan and J. H. Caltenco and J. L{\'o}pez-Bonilla",
  title =        "{Lanczos} potential for the {G{\"o}del} spacetime",
  journal =      j-ANN-PHYS-1900,
  volume =       "16",
  number =       "4",
  pages =        "311--313",
  month =        apr,
  year =         "2007",
  DOI =          "https://doi.org/10.1002/andp.200610234",
  ISSN =         "1521-3889",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Annalen der Physik (1900)",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-3889",
  onlinedate =   "21 Dec 2006",
}

@Article{Bernabeu:2007:RPI,
  author =       "Miguel O. Bernabeu and M{\'a}riam Taroncher and
                 V{\'\i}ctor M. Garc{\'\i}a and Ana Vidal",
  title =        "Robust Parallel Implementation of a {Lanczos}-based
                 Algorithm for an Structured Electromagnetic Eigenvalue
                 Problem",
  journal =      j-SCPE,
  volume =       "8",
  number =       "3",
  pages =        "263--270",
  month =        sep,
  year =         "2007",
  CODEN =        "????",
  ISSN =         "1895-1767",
  bibdate =      "Thu Sep 2 11:55:11 MDT 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www.scpe.org/content/8/3.toc",
  URL =          "http://www.scpe.org/vols/vol08/no3/SCPE_8_3_04.pdf;
                 http://www.scpe.org/vols/vol08/no3/SCPE_8_3_04.zip",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://www.scpe.org/",
}

@InBook{Brezinski:2007:LTM,
  author =       "Claude Brezinski",
  title =        "{Lanczos}-type methods",
  crossref =     "Brezinski:1997:PMS",
  chapter =      "4",
  pages =        "141--182",
  year =         "2007",
  DOI =          "https://doi.org/10.1016/S1570-579X(97)80020-1",
  bibdate =      "Fri Jun 10 17:37:25 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Chung:2007:WGM,
  author =       "Julianne Chung and James G. Nagy and Dianne P.
                 O'Leary",
  title =        "A weighted-{GCV} method for {Lanczos-hybrid}
                 regularization",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "28",
  pages =        "149--167",
  year =         "2007\slash 2008",
  CODEN =        "????",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  bibdate =      "Mon Sep 6 12:28:30 MDT 2010",
  bibsource =    "http://etna.mcs.kent.edu/;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Special volume for Gene Golub.",
  URL =          "http://etna.mcs.kent.edu/vol.28.2007-2008/pp149-167.dir/pp149-167.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Electronic Transactions on Numerical Analysis",
  journal-URL =  "http://etna.mcs.kent.edu/",
}

@InProceedings{Gokhberg:2007:MPC,
  author =       "K. Gokhberg and V. Averbukh and V. Vysotskiy and L. S.
                 Cederbaum",
  title =        "Molecular Photoionization Cross-Sections by
                 Application of {Stieltjes} Imaging to {Lanczos}
                 Pseudospectra",
  crossref =     "Simos:2007:CMS",
  volume =       "2A",
  pages =        "151--154",
  year =         "2007",
  bibdate =      "Thu Feb 21 14:34:40 2008",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://proceedings.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&amp;
                 id=APCPCS000963000002000151000001&amp; idtype=cvips",
  acknowledgement = ack-nhfb,
}

@Article{Hnetynkova:2007:LTC,
  author =       "Iveta Hn{\v{e}}tynkov{\'a} and Zden{\v{e}}k
                 Strako{\v{s}}",
  title =        "{Lanczos} tridiagonalization and core problems",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "421",
  number =       "2--3",
  pages =        "243--251",
  day =          "1",
  month =        mar,
  year =         "2007",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/j.laa.2006.05.006",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Wed Mar 30 14:19:15 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www.sciencedirect.com/science/journal/00243795",
  note =         "Special Issue in honor of Miroslav Fiedler.",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Koteras:2007:ECT,
  author =       "J. R. Koteras and R. B. Lehoucq",
  title =        "Estimating the critical time-step in explicit dynamics
                 using the {Lanczos} method",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "69",
  number =       "13",
  pages =        "2780--2788",
  day =          "26",
  month =        mar,
  year =         "2007",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/nme.1865",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "31 Aug 2006",
}

@Article{Najafi:2007:NRM,
  author =       "H. Saberi Najafi and A. Refahi",
  title =        "A new restarting method in the {Lanczos} algorithm for
                 generalized eigenvalue problem",
  journal =      j-APPL-MATH-COMP,
  volume =       "184",
  number =       "2",
  pages =        "421--428",
  day =          "15",
  month =        jan,
  year =         "2007",
  CODEN =        "AMHCBQ",
  DOI =          "https://doi.org/10.1016/j.amc.2006.06.079",
  ISSN =         "0096-3003 (print), 1873-5649 (electronic)",
  ISSN-L =       "0096-3003",
  bibdate =      "Sat Jul 12 09:03:01 MDT 2008",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www.sciencedirect.com/science/journal/00963003",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Mathematics and Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00963003",
}

@Article{Tremblay:2007:RUL,
  author =       "Jean Christophe Tremblay and Tucker {Carrington Jr.}",
  title =        "A refined unsymmetric {Lanczos} eigensolver for
                 computing accurate eigentriplets of a real unsymmetric
                 matrix",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "28",
  pages =        "95--113",
  year =         "2007\slash 2008",
  CODEN =        "????",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  bibdate =      "Mon Sep 6 12:28:30 MDT 2010",
  bibsource =    "http://etna.mcs.kent.edu/;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Special volume for Gene Golub.",
  URL =          "http://etna.mcs.kent.edu/vol.28.2007-2008/pp95-113.dir/pp95-113.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Electronic Transactions on Numerical Analysis",
  journal-URL =  "http://etna.mcs.kent.edu/",
}

@Article{Vidal:2007:PCA,
  author =       "A. M. Vidal and A. Vidal and V. E. Boria and V. M.
                 Garc{\'\i}a",
  title =        "Parallel computation of arbitrarily shaped waveguide
                 modes using {BI-RME} and {Lanczos} methods",
  journal =      j-COMM-NUMER-METHODS-ENGRG,
  volume =       "23",
  number =       "4",
  pages =        "273--284",
  month =        apr,
  year =         "2007",
  DOI =          "https://doi.org/10.1002/cnm.901",
  ISSN =         "1069-8299 (print), 1099-0887 (electronic)",
  ISSN-L =       "1069-8299",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Communications in Numerical Methods in Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-0887",
  onlinedate =   "14 Aug 2006",
}

@Article{Zhang:2007:EMR,
  author =       "H. Zhang and C. H. Thurber",
  title =        "Estimating the model resolution matrix for large
                 seismic tomography problems based on {Lanczos}
                 bidiagonalization with partial reorthogonalization",
  journal =      j-GEOPHYS-J-INT,
  volume =       "170",
  number =       "1",
  pages =        "337--345",
  month =        jul,
  year =         "2007",
  CODEN =        "GJINEA",
  DOI =          "https://doi.org/10.1111/j.1365-246X.2007.03418.x",
  ISSN =         "0956-540x (print), 1365-246x (electronic)",
  ISSN-L =       "0956-540X",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Geophysical journal international",
  journal-URL =  "http://gji.oxfordjournals.org/content/by/year",
  onlinedate =   "21 May 2007",
}

@Article{Zhou:2007:CDA,
  author =       "Yunkai Zhou and Yousef Saad",
  title =        "A {Chebyshev--Davidson} Algorithm for Large Symmetric
                 Eigenproblems",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "29",
  number =       "3",
  pages =        "954--971",
  month =        "????",
  year =         "2007",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/050630404",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F15 (15A18 65F50)",
  MRnumber =     "2365900 (2008k:65081)",
  MRreviewer =   "Ilse C. F. Ipsen",
  bibdate =      "Sun Sep 5 09:21:22 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toclist/SIMAX/;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Bekas:2008:AWI,
  author =       "C. Bekas and A. Curioni and W. Andreoni",
  title =        "Atomic wavefunction initialization in ab initio
                 molecular dynamics using distributed {Lanczos}",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "34",
  number =       "6--8",
  pages =        "441--450",
  month =        jul,
  year =         "2008",
  CODEN =        "PACOEJ",
  DOI =          "https://doi.org/10.1016/j.parco.2008.01.005",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  bibdate =      "Thu Sep 2 17:51:09 MDT 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www.sciencedirect.com/science/journal/01678191",
  acknowledgement = ack-nhfb,
  fjournal =     "Parallel Computing",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191",
}

@Article{Bekas:2008:CLI,
  author =       "C. Bekas and E. Kokiopoulou and Yousef Saad",
  title =        "Computation of Large Invariant Subspaces Using
                 Polynomial Filtered {Lanczos} Iterations with
                 Applications in Density Functional Theory",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "30",
  number =       "1",
  pages =        "397--418",
  month =        "????",
  year =         "2008",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/060675435",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F15 (65F50)",
  MRnumber =     "2399587 (2009b:65095)",
  MRreviewer =   "Valeria Simoncini",
  bibdate =      "Sun Sep 5 09:21:22 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toclist/SIMAX/;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Dolan:2008:RLE,
  author =       "P. Dolan and A. Gerber",
  title =        "The {Riemann--Lanczos} equations in general relativity
                 and their integrability",
  journal =      j-J-MATH-PHYS,
  volume =       "49",
  number =       "6",
  pages =        "062501:1--062501:13",
  month =        jul,
  year =         "2008",
  CODEN =        "JMAPAQ",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  bibdate =      "Fri Jun 10 07:43:06 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
}

@Article{Druskin:2008:MLA,
  author =       "Vladimir Druskin",
  title =        "On monotonicity of the {Lanczos} approximation to the
                 matrix exponential",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "429",
  number =       "7",
  pages =        "1679--1683",
  day =          "1",
  month =        oct,
  year =         "2008",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Wed Mar 30 14:20:15 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www.sciencedirect.com/science/journal/00243795",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Heller:2008:IDM,
  author =       "Eric J. Heller and Lev Kaplan and Frank Pollmann",
  title =        "Inflationary dynamics for matrix eigenvalue problems",
  journal =      j-PROC-NATL-ACAD-SCI-USA,
  volume =       "105",
  number =       "22",
  pages =        "7631--7635",
  month =        "????",
  year =         "2008",
  CODEN =        "PNASA6",
  DOI =          "https://doi.org/10.1073/pnas.0801047105",
  ISSN =         "0027-8424 (print), 1091-6490 (electronic)",
  ISSN-L =       "0027-8424",
  bibdate =      "Fri Jun 10 15:21:21 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  abstract =     "Many fields of science and engineering require finding
                 eigenvalues and eigenvectors of large matrices. The
                 solutions can represent oscillatory modes of a bridge,
                 a violin, the disposition of electrons around an atom
                 or molecule, the acoustic modes of a concert hall, or
                 hundreds of other physical quantities. Often only the
                 few eigenpairs with the lowest or highest frequency
                 (extremal solutions) are needed. Methods that have been
                 developed over the past 60 years to solve such problems
                 include the Lanczos algorithm, Jacobi Davidson
                 techniques, and the conjugate gradient method. Here, we
                 present a way to solve the extremal eigenvalue\slash
                 eigenvector problem, turning it into a nonlinear
                 classical mechanical system with a modified Lagrangian
                 constraint. The constraint induces exponential
                 inflationary growth of the desired extremal
                 solutions.",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the National Academy of Sciences of the
                 United States of America",
  journal-URL =  "http://www.pnas.org/search",
  onlinedate =   "29 May 2008",
}

@Article{Hernandez:2008:REP,
  author =       "Vicente Hern{\'a}ndez and Jos{\'e} E. Rom{\'a}n and
                 Andr{\'e}s Tom{\'a}s",
  title =        "A robust and efficient parallel {SVD} solver based on
                 restarted {Lanczos} bidiagonalization",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "31",
  pages =        "68--85",
  year =         "2008",
  CODEN =        "????",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  bibdate =      "Mon Sep 6 12:28:30 MDT 2010",
  bibsource =    "http://etna.mcs.kent.edu/;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://etna.mcs.kent.edu/vol.31.2008/pp68-85.dir/pp68-85.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Electronic Transactions on Numerical Analysis",
  journal-URL =  "http://etna.mcs.kent.edu/",
}

@Article{Jia:2008:ASI,
  author =       "Chunxia Jia and Detong Zhu",
  title =        "An affine scaling interior algorithm via {Lanczos}
                 path for solving bound-constrained nonlinear systems",
  journal =      j-APPL-MATH-COMP,
  volume =       "195",
  number =       "2",
  pages =        "558--575",
  day =          "1",
  month =        feb,
  year =         "2008",
  CODEN =        "AMHCBQ",
  ISSN =         "0096-3003 (print), 1873-5649 (electronic)",
  ISSN-L =       "0096-3003",
  bibdate =      "Sat Jul 12 09:03:10 MDT 2008",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www.sciencedirect.com/science/journal/00963003",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Mathematics and Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00963003",
}

@Article{Lambers:2008:EKS,
  author =       "James V. Lambers",
  title =        "Enhancement of {Krylov} subspace spectral methods by
                 block {Lanczos} iteration",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "31",
  pages =        "86--109",
  year =         "2008",
  CODEN =        "????",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  bibdate =      "Mon Sep 6 12:28:30 MDT 2010",
  bibsource =    "http://etna.mcs.kent.edu/;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://etna.mcs.kent.edu/vol.31.2008/pp86-109.dir/pp86-109.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Electronic Transactions on Numerical Analysis",
  journal-URL =  "http://etna.mcs.kent.edu/",
}

@Article{Peterson:2008:LR,
  author =       "Michael Peterson and Chris Monico",
  title =        "{$ \mathbb {F}_2 $} {Lanczos} revisited",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "428",
  number =       "4",
  pages =        "1135--1150",
  day =          "1",
  month =        feb,
  year =         "2008",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/j.laa.2007.09.016",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Wed Mar 30 14:19:51 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www.sciencedirect.com/science/journal/00243795",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Schnack:2008:EIL,
  author =       "J{\"u}rgen Schnack and Peter Hage and Heinz-J{\"u}rgen
                 Schmidt",
  title =        "Efficient implementation of the {Lanczos} method for
                 magnetic systems",
  journal =      j-J-COMPUT-PHYS,
  volume =       "227",
  number =       "9",
  pages =        "4512--4517",
  day =          "20",
  month =        apr,
  year =         "2008",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/j.jcp.2008.01.027",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Mon Jan 2 22:13:52 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0021999108000338",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991",
}

@Article{Tuck-Lee:2008:AFW,
  author =       "James P. Tuck-Lee and Peter M. Pinsky",
  title =        "Adaptive frequency windowing for multifrequency
                 solutions in structural acoustics based on the matrix
                 {Pad{\'e}-via-Lanczos} algorithm",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "73",
  number =       "5",
  pages =        "728--746",
  day =          "29",
  month =        jan,
  year =         "2008",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/nme.2102",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "30 May 2007",
}

@Article{Browne:2009:LBA,
  author =       "Kevin Browne and Sanzheng Qiao and Yimin Wei",
  title =        "A {Lanczos} bidiagonalization algorithm for {Hankel}
                 matrices",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "430",
  number =       "5--6",
  pages =        "1531--1543",
  day =          "1",
  month =        mar,
  year =         "2009",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Wed Mar 30 14:20:34 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www.sciencedirect.com/science/journal/00243795",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Chen:2009:FAG,
  author =       "Jie Chen and Haw-ren Fang and Yousef Saad",
  title =        "Fast approximate {$k$NN} graph construction for high
                 dimensional data via recursive {Lanczos} bisection",
  journal =      "J. Mach. Learn. Res.",
  volume =       "10",
  pages =        "1989--2012",
  year =         "2009",
  ISSN =         "1532-4435",
  MRclass =      "05C85 (62-07 68T05)",
  MRnumber =     "2550098",
  bibdate =      "Sun Sep 5 09:21:22 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Machine Learning Research (JMLR)",
}

@Article{Chen:2009:LVV,
  author =       "Jie Chen and Yousef Saad",
  title =        "{Lanczos} vectors versus singular vectors for
                 effective dimension reduction",
  journal =      j-IEEE-TRANS-KNOWL-DATA-ENG,
  volume =       "21",
  number =       "8",
  pages =        "1091--1103",
  month =        "????",
  year =         "2009",
  CODEN =        "ITKEEH",
  DOI =          "https://doi.org/10.1109/TKDE.2008.228",
  ISSN =         "1041-4347 (print), 1558-2191 (electronic)",
  ISSN-L =       "1041-4347",
  bibdate =      "Fri Jun 10 22:32:15 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Knowledge and Data Engineering",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=69",
}

@Article{Frommer:2009:MCL,
  author =       "Andreas Frommer",
  title =        "Monotone convergence of the {Lanczos} approximations
                 to matrix functions of {Hermitian} matrices",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "35",
  pages =        "118--128",
  year =         "2009",
  CODEN =        "????",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  bibdate =      "Mon Sep 6 12:28:30 MDT 2010",
  bibsource =    "http://etna.mcs.kent.edu/;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://etna.mcs.kent.edu/vol.35.2009/pp118-128.dir/pp118-128.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Electronic Transactions on Numerical Analysis",
  journal-URL =  "http://etna.mcs.kent.edu/",
}

@Article{Jing:2009:LTV,
  author =       "Yan-Fei Jing and Ting-Zhu Huang and Yong Zhang and
                 Liang Li and Guang-Hui Cheng and Zhi-Gang Ren and Yong
                 Duan and Tomohiro Sogabe and Bruno Carpentieri",
  title =        "{Lanczos-type} variants of the {COCR} method for
                 complex nonsymmetric linear systems",
  journal =      j-J-COMPUT-PHYS,
  volume =       "228",
  number =       "17",
  pages =        "6376--6394",
  day =          "20",
  month =        sep,
  year =         "2009",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/j.jcp.2009.05.022",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Mon Jan 2 22:14:15 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0021999109002800",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991",
}

@Article{Moret:2009:RLA,
  author =       "Igor Moret",
  title =        "Rational {Lanczos} approximations to the matrix square
                 root and related functions",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "16",
  number =       "6",
  pages =        "431--445",
  month =        jun,
  year =         "2009",
  CODEN =        "NLAAEM",
  DOI =          "https://doi.org/10.1002/nla.625",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "http://www.interscience.wiley.com/jpages/1070-5325;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www3.interscience.wiley.com/journalfinder.html",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Linear Algebra with Applications",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
  onlinedate =   "19 Nov 2008",
}

@Article{Neymeyr:2009:PEI,
  author =       "Klaus Neymeyr",
  title =        "On preconditioned eigensolvers and {Invert--Lanczos}
                 processes",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "430",
  number =       "4",
  pages =        "1039--1056",
  day =          "1",
  month =        feb,
  year =         "2009",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Wed Mar 30 14:20:31 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www.sciencedirect.com/science/journal/00243795",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Rindler:2009:GEMa,
  author =       "Wolfgang Rindler",
  title =        "{G{\"o}del}, {Einstein}, {Mach}, {Gamow}, and
                 {Lanczos}: {G{\"o}del}'s remarkable excursion into
                 cosmology",
  journal =      j-AMER-J-PHYSICS,
  volume =       "77",
  number =       "6",
  pages =        "498--510",
  month =        jun,
  year =         "2009",
  CODEN =        "AJPIAS",
  DOI =          "https://doi.org/10.1119/1.3086933",
  ISSN =         "0002-9505 (print), 1943-2909 (electronic)",
  ISSN-L =       "0002-9505",
  bibdate =      "Wed May 30 05:50:23 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gamow-george.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/einstein.bib",
  note =         "Reprinted in \cite[Chapter 9]{Baaz:2011:KGF}.",
  URL =          "http://adsabs.harvard.edu/abs/2009AmJPh..77..498R;
                 http://ajp.aapt.org/resource/1/ajpias/v77/i6/p498_s1",
  acknowledgement = ack-nhfb,
  fjournal =     "American Journal of Physics",
  journal-URL =  "http://scitation.aip.org/content/aapt/journal/ajp",
  keywords =     "General relativity and gravitation",
}

@Article{Yun:2009:CLT,
  author =       "Beong In Yun and Kyung Soo Rim",
  title =        "Construction of {Lanczos} type filters for the
                 {Fourier} series approximation",
  journal =      j-APPL-NUM-MATH,
  volume =       "59",
  number =       "2",
  pages =        "280--300",
  month =        feb,
  year =         "2009",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  ISSN-L =       "0168-9274",
  bibdate =      "Tue Aug 24 11:17:22 MDT 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www.sciencedirect.com/science/journal/01689274",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Numerical Mathematics: Transactions of IMACS",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01689274",
}

@Article{Abdel-Rehim:2010:DRS,
  author =       "Abdou M. Abdel-Rehim and Ronald B. Morgan and Dywayne
                 A. Nicely and Walter Wilcox",
  title =        "Deflated and Restarted Symmetric {Lanczos} Methods for
                 Eigenvalues and Linear Equations with Multiple
                 Right-Hand Sides",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "32",
  number =       "1",
  pages =        "129--149",
  month =        "????",
  year =         "2010",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/080727361",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Wed May 19 10:44:24 MDT 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/32/1;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Book{Gellai:2010:INT,
  author =       "Barbara Gellai",
  title =        "The intrinsic nature of things: the life and science
                 of {Cornelius Lanczos}",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "xv + 168",
  year =         "2010",
  ISBN =         "0-8218-5166-7",
  ISBN-13 =      "978-0-8218-5166-1",
  LCCN =         "QA29.L285 G45 2010",
  bibdate =      "Wed Jun 8 14:42:43 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  subject =      "Lanczos, Cornelius; Mathematicians; Hungary;
                 Biography; Physicists",
  subject-dates = "1893--1974",
}

@Article{Ilic:2010:RLA,
  author =       "M. Ili{\'c} and I. W. Turner and D. P. Simpson",
  title =        "A restarted {Lanczos} approximation to functions of a
                 symmetric matrix",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "30",
  number =       "4",
  pages =        "1044--1061",
  month =        oct,
  year =         "2010",
  CODEN =        "IJNADH",
  DOI =          "https://doi.org/10.1093/imanum/drp003",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  bibdate =      "Wed Oct 13 18:32:48 MDT 2010",
  bibsource =    "http://imanum.oxfordjournals.org/content/30/4.toc;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://imajna.oxfordjournals.org/content/30/4/1044.full.pdf+html",
  acknowledgement = ack-nhfb,
  fjournal =     "IMA Journal of Numerical Analysis",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
  onlinedate =   "June 17, 2009",
}

@Article{Jia:2010:RHL,
  author =       "Zhongxiao Jia and Datian Niu",
  title =        "A Refined Harmonic {Lanczos} Bidiagonalization Method
                 and an Implicitly Restarted Algorithm for Computing the
                 Smallest Singular Triplets of Large Matrices",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "32",
  number =       "2",
  pages =        "714--744",
  month =        "????",
  year =         "2010",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/080733383",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Wed May 19 10:44:27 MDT 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/32/2;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{Knizhnerman:2010:SLR,
  author =       "Leonid Knizhnerman",
  title =        "Sensitivity of the {Lanczos} recurrence to {Gaussian}
                 quadrature data: How malignant can small weights be?",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "233",
  number =       "5",
  pages =        "1238--1244",
  day =          "1",
  month =        jan,
  year =         "2010",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/j.cam.2007.12.028",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "65F18",
  bibdate =      "Fri Jun 10 16:32:10 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Special Issue Dedicated to William B. Gragg on the
                 Occasion of His 70th Birthday.",
  abstract =     "Stability of passing from Gaussian quadrature data to
                 the Lanczos recurrence coefficients is considered.
                 Special attention is paid to estimates explicitly
                 expressed in terms of quadrature data and not having
                 weights in denominators. It has been shown that the
                 recent approach, exploiting integral representation of
                 Hankel determinants, implies quantitative improvement
                 of D. Laurie's constructive estimate.\par

                 It has also been demonstrated that a particular
                 implementation on the Hankel determinant approach gives
                 an estimate being unimprovable up to a coefficient; the
                 corresponding example involves quadrature data with a
                 small but not too small weight. It follows that
                 polynomial increase of a general case upper bound in
                 terms of the dimension is unavoidable.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
  keywords =     "Gaussian quadrature formula; Jacobi inverse eigenvalue
                 problem; Lanczos recurrence; Orthogonal polynomials;
                 Small weights; Stability estimates",
}

@Article{Li:2010:SRC,
  author =       "Ren-Cang Li",
  title =        "Sharpness in rates of convergence for the symmetric
                 {Lanczos} method",
  journal =      j-MATH-COMPUT,
  volume =       "79",
  number =       "269",
  pages =        "419--435",
  month =        jan,
  year =         "2010",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Fri May 14 06:21:04 MDT 2010",
  bibsource =    "http://www.ams.org/mcom/2010-79-269;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.ams.org/journals/mcom/2010-79-269/S0025-5718-09-02258-3/home.html;
                 http://www.ams.org/journals/mcom/2010-79-269/S0025-5718-09-02258-3/S0025-5718-09-02258-3.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{Liew:2010:MPL,
  author =       "Haw-Ling Liew and Peter M. Pinsky",
  title =        "Matrix-{Pad{\'e}} via {Lanczos} solutions for
                 vibrations of fluid-structure interaction",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "84",
  number =       "10",
  pages =        "1183--1204",
  day =          "3",
  month =        dec,
  year =         "2010",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/nme.2936",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
  onlinedate =   "11 Nov 2010",
}

@Article{Meerbergen:2010:LMP,
  author =       "Karl Meerbergen and Zhaojun Bai",
  title =        "The {Lanczos} Method for Parameterized Symmetric
                 Linear Systems with Multiple Right-Hand Sides",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "31",
  number =       "4",
  pages =        "1642--1662",
  month =        "????",
  year =         "2010",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/08073144X",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Tue May 18 22:32:39 MDT 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toclist/SIMAX/;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Paige:2010:ASR,
  author =       "Christopher C. Paige",
  title =        "An Augmented Stability Result for the {Lanczos}
                 {Hermitian} Matrix Tridiagonalization Process",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "31",
  number =       "5",
  pages =        "2347--2359",
  month =        "????",
  year =         "2010",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Sun Nov 28 22:55:40 MST 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/31/5;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
  onlinedate =   "July 13, 2010",
}

@Article{Rezghi:2010:LBP,
  author =       "Mansoor Rezghi and S. M. Hosseini",
  title =        "{Lanczos} based preconditioner for discrete ill-posed
                 problems",
  journal =      j-COMPUTING,
  volume =       "88",
  number =       "1--2",
  pages =        "79--96",
  month =        jun,
  year =         "2010",
  CODEN =        "CMPTA2",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  ISSN-L =       "0010-485X",
  bibdate =      "Sun Oct 31 11:10:10 MDT 2010",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0010-485X&volume=88&issue=1;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0010-485X&volume=88&issue=1&spage=79",
  acknowledgement = ack-nhfb,
  fjournal =     "Computing: Archiv f{\"u}r informatik und numerik",
  journal-URL =  "http://link.springer.com/journal/607",
}

@InCollection{Temme:2010:LTS,
  author =       "N. M. Temme",
  title =        "{Lanczos} Tridiagonalization of a Symmetric Matrix",
  crossref =     "Olver:2010:NHM",
  pages =        "75--75",
  year =         "2010",
  bibdate =      "Sun Jun 12 09:55:34 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Article{Yamazaki:2010:APS,
  author =       "Ichitaro Yamazaki and Zhaojun Bai and Horst Simon and
                 Lin-Wang Wang and Kesheng Wu",
  title =        "Adaptive Projection Subspace Dimension for the
                 Thick-Restart {Lanczos} Method",
  journal =      j-TOMS,
  volume =       "37",
  number =       "3",
  pages =        "27:1--27:18",
  year =         "2010",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/1824801.1824805",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Mon Sep 27 10:15:50 MDT 2010",
  bibsource =    "http://www.acm.org/pubs/contents/journals/toms/;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  abstract =     "The Thick-Restart Lanczos (TRLan) method is an
                 effective method for solving large-scale Hermitian
                 eigenvalue problems. The performance of the method
                 strongly depends on the dimension of the projection
                 subspace used at each restart. In this article, we
                 propose an objective function to quantify the
                 effectiveness of the selection of subspace dimension,
                 and then introduce an adaptive scheme to dynamically
                 select the dimension to optimize the performance. We
                 have developed an open-source software package
                 $a$-TRLan to include this adaptive scheme in the TRLan
                 method. When applied to calculate the electronic
                 structure of quantum dots, $a$-TRLan runs up to 2.3x
                 faster than a state-of-the-art preconditioned conjugate
                 gradient eigensolver.",
  acknowledgement = ack-nhfb,
  articleno =    "27",
  fjournal =     "ACM Transactions on Mathematical Software",
  journal-URL =  "http://portal.acm.org/toc.cfm?idx=J782",
  keywords =     "Adaptive subspace dimension; electronic structure
                 calculation; Lanczos; thick-restart",
}

@Article{Baris:2011:TCS,
  author =       "Osman Bari{\c{s} and } Malc{\i}o{\u{g}}lu and Ralph
                 Gebauer and Dario Roccad and Stefano Baronia",
  title =        "{turboTDDFT} --- {A} code for the simulation of
                 molecular spectra using the {Liouville--Lanczos}
                 approach to time-dependent density-functional
                 perturbation theory",
  journal =      j-COMP-PHYS-COMM,
  volume =       "182",
  number =       "8",
  pages =        "1744--1754",
  month =        aug,
  year =         "2011",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/j.cpc.2011.04.020",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Fri Jun 10 16:29:27 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/compphyscomm2010.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@Article{Gruning:2011:ITL,
  author =       "Myrta Gr{\"u}ning and Andrea Marini and Xavier
                 Gonzee",
  title =        "Implementation and testing of {Lanczos}-based
                 algorithms for {Random-Phase Approximation}
                 eigenproblems",
  journal =      j-COMPUT-MATER-SCI,
  volume =       "50",
  number =       "7",
  pages =        "2148--2156",
  month =        may,
  year =         "2011",
  CODEN =        "CMMSEM",
  DOI =          "https://doi.org/10.1016/j.commatsci.2011.02.021",
  ISSN =         "0927-0256 (print), 1879-0801 (electronic)",
  ISSN-L =       "0927-0256",
  bibdate =      "Fri Jun 10 17:01:56 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computational Materials Science",
  journal-URL =  "http://www.sciencedirect.com/science/journal/09270256",
}

@Article{Pang:2011:SIL,
  author =       "Hong-Kui Pang and Hai-Wei Sun",
  title =        "Shift-invert {Lanczos} method for the symmetric
                 positive semidefinite {Toeplitz} matrix exponential",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "18",
  number =       "3",
  pages =        "603--614",
  month =        may,
  year =         "2011",
  CODEN =        "NLAAEM",
  DOI =          "https://doi.org/10.1002/nla.747",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  bibdate =      "Fri Jun 10 10:27:45 MDT 2011",
  bibsource =    "http://www.interscience.wiley.com/jpages/1070-5325;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 http://www3.interscience.wiley.com/journalfinder.html",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Linear Algebra with Applications",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
  onlinedate =   "26 Sep 2010",
}

@InCollection{Rindler:2011:GEMb,
  author =       "Wolfgang Rindler",
  title =        "{G{\"o}del}, {Einstein}, {Mach}, {Gamow}, and
                 {Lanczos}: {G{\"o}del}'s Remarkable Excursion into
                 Cosmology",
  crossref =     "Baaz:2011:KGF",
  pages =        "185--212",
  year =         "2011",
  bibdate =      "Tue Sep 20 17:56:03 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gamow-george.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/einstein.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
}

@InBook{Saad:2011:KSM,
  author =       "Youcef Saad",
  title =        "{Krylov} Subspace Methods",
  crossref =     "Saad:2011:NML",
  chapter =      "6",
  pages =        "125--162",
  year =         "2011",
  bibdate =      "Fri Jun 10 21:40:13 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  keywords =     "Arnoldi; block Krylov; convergence of Arnold process;
                 convergence of Lanczos process; Davidson; Hermitian
                 Lanczos; Jacobi--Davidson; Non-Hermitian Lanczos",
}

@Book{Golub:2013:MC,
  author =       "Gene H. Golub and Charles F. {Van Loan}",
  title =        "Matrix Computations",
  publisher =    pub-JOHNS-HOPKINS,
  address =      pub-JOHNS-HOPKINS:adr,
  edition =      "Fourth",
  pages =        "xxi + 756",
  year =         "2013",
  ISBN =         "1-4214-0794-9 (hardcover), 1-4214-0859-7 (e-book)",
  ISBN-13 =      "978-1-4214-0794-4 (hardcover), 978-1-4214-0859-0
                 (e-book)",
  LCCN =         "QA188 .G65 2013",
  bibdate =      "Fri Nov 21 06:49:56 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  series =       "Johns Hopkins Studies in the Mathematical Sciences",
  URL =          "https://jhupbooks.press.jhu.edu/title/matrix-computations",
  abstract =     "This revised edition provides the mathematical
                 background and algorithmic skills required for the
                 production of numerical software. It includes rewritten
                 and clarified proofs and derivations, as well as new
                 topics such as Arnoldi iteration, and domain
                 decomposition methods.",
  acknowledgement = ack-nhfb,
  author-dates = "Gene Howard Golub (February 29, 1932--November 16,
                 2007)",
  shorttableofcontents = "1: Matrix multiplication \\
                 2: Matrix analysis \\
                 3: General linear systems \\
                 4: Special linear systems \\
                 5: Orthogonalization and least squares \\
                 6: Modified least squares problems and methods \\
                 7: Unsymmetric eigenvalue problems \\
                 8: Symmetric eigenvalue problems \\
                 9: Functions of matrices \\
                 10: Large sparse eigenvalue problems \\
                 11: Large sparse linear system problems \\
                 12: Special topics",
  subject =      "Matrices; Data processing; Data processing.; Matrix.;
                 Matrizenrechnung.; Matrizentheorie.; Numerische
                 Mathematik.",
  tableofcontents = "Preface \\
                 Global References \\
                 Other Books \\
                 Useful URLs \\
                 Common Notation \\
                 1: Matrix Multiplication \\
                 1.1 Basic Algorithms and Notation \\
                 1.2 Structure and Efficiency \\
                 1.3 Block Matrices and Algorithms \\
                 1.4 Fast Matrix--Vector Products \\
                 1.5 Vectorization and Locality \\
                 1.6 Parallel Matrix Multiplication \\
                 2: Matrix Analysis \\
                 2.1 Basic Ideas from Linear Algebra \\
                 2.2 Vector Norms \\
                 2.3 Matrix Norms \\
                 2.4 The Singular Value Decomposition \\
                 2.5 Subspace Metrics \\
                 2.6 The Sensitivity of Square Systems \\
                 2.7 Finite Precision Matrix Computations \\
                 3: General Linear Systems \\
                 3.1 Triangular Systems \\
                 3.2 The $L U$ Factorization \\
                 3.3 Roundoff Error in Gaussian Elimination \\
                 3.4 Pivoting \\
                 3.5 Improving and Estimating Accuracy \\
                 3.6 Parallel $L U$ \\
                 4: Special Linear Systems \\
                 4.1 Diagonal Dominance and Symmetry \\
                 4.2 Positive Definite Systems \\
                 4.3 Banded Systems \\
                 4.4 Symmetric Indefinite Systems \\
                 4.5 Block Tridiagonal Systems \\
                 4.6 Vandermonde Systems \\
                 4.7 Classical Methods for Toeplitz Systems \\
                 4.8 Circulant and Discrete Poisson Systems \\
                 5: Orthogonalization and Least Squares \\
                 5.1 Householder and Givens Transformations \\
                 5.2 The $Q R$ Factorization \\
                 5.3 The Full-Rank Least Squares Problem \\
                 5.4 Other Orthogonal Factorizations \\
                 5.5 The Rank-Deficient Least Squares Problem \\
                 5.6 Square and Underdetermined Systems \\
                 6: Modified Least Squares Problems and Methods \\
                 6.1 Weighting and Regularization \\
                 6.2 Constrained Least Squares \\
                 6.3 Total Least Squares \\
                 6.4 Subspace Computations with the SVD \\
                 6.5 Updating Matrix Factorizations \\
                 7: Unsymmetric Eigenvalue Problems \\
                 7.1 Properties and Decompositions \\
                 7.2 Perturbation Theory \\
                 7.3 Power Iterations \\
                 7.4 The Hessenberg and Real Schur Forms \\
                 7.5 The Practical $Q R$ Algorithm \\
                 7.6 Invariant Subspace Computations \\
                 7.7 The Generalized Eigenvalue Problem \\
                 7.8 Hamiltonian and Product Eigenvalue Problems \\
                 7.9 Pseudospectra \\
                 8: Symmetric Eigenvalue Problems \\
                 8.1 Properties and Decompositions \\
                 8.2 Power Iterations \\
                 8.3 The Symmetric $Q R$ Algorithm \\
                 8.4 More Methods for Tridiagonal Problems \\
                 8.5 Jacobi Methods \\
                 8.6 Computing the SVD \\
                 8.7 Generalized Eigenvalue Problems with Symmetry \\
                 9: Functions of Matrices \\
                 9.1 Eigenvalue Methods \\
                 9.2 Approximation Methods \\
                 9.3 The Matrix Exponential \\
                 9.4 The Sign, Square Root, and Log of a Matrix \\
                 10: Large Sparse Eigenvalue Problems \\
                 10.1 The Symmetric Lanczos Process \\
                 10.2 Lanczos, Quadrature, and Approximation \\
                 10.3 Practical Lanczos Procedures \\
                 10.4 Large Sparse SVD Frameworks \\
                 10.5 Krylov Methods for Unsymmetric Problems \\
                 10.6 Jacobi--Davidson and Related Methods \\
                 11: Large Sparse Linear System Problems \\
                 11.1 Direct Methods \\
                 11.2 The Classical Iterations \\
                 11.3 The Conjugate Gradient Method \\
                 11.4 Other Krylov Methods \\
                 11.5 Preconditioning \\
                 11.6 The Multigrid Framework \\
                 12: Special Topics \\
                 12.1 Linear Systems with Displacement Structure \\
                 12.2 Structured-Rank Problems \\
                 12.3 Kronecker Product Computations \\
                 12.4 Tensor Unfoldings and Contractions \\
                 12.5 Tensor Decompositions and Iterations \\
                 Index",
}

@Article{Boyd:2014:RBC,
  author =       "John P. Boyd and Rolfe Petschek",
  title =        "The Relationships Between {Chebyshev}, {Legendre} and
                 {Jacobi} Polynomials: The Generic Superiority of
                 {Chebyshev} Polynomials and Three Important
                 Exceptions",
  journal =      j-J-SCI-COMPUT,
  volume =       "59",
  number =       "1",
  pages =        "1--27",
  month =        apr,
  year =         "2014",
  CODEN =        "JSCOEB",
  DOI =          "https://doi.org/10.1007/s10915-013-9751-7",
  ISSN =         "0885-7474 (print), 1573-7691 (electronic)",
  ISSN-L =       "0885-7474",
  bibdate =      "Sat Mar 8 11:16:37 MST 2014",
  bibsource =    "http://link.springer.com/journal/10915;
                 http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0885-7474&volume=59&issue=1;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/jscicomput.bib",
  note =         "See \cite{Lanczos:1952:F}.",
  URL =          "http://link.springer.com/article/10.1007/s10915-013-9751-7;
                 http://link.springer.com/content/pdf/10.1007/s10915-013-9751-7.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Scientific Computing",
  journal-URL =  "http://link.springer.com/journal/10915",
  keywords =     "Cornelius Lanczos",
}

@Book{Arbenz:2016:LNS,
  author =       "Peter Arbenz",
  title =        "Lecture Notes on Solving Large Scale Eigenvalue
                 Problems",
  publisher =    "Computer Science Department, ETH Z{\"u}rich",
  address =      "Z{\"u}rich, Switzerland",
  pages =        "vi + 259",
  year =         "2016",
  bibdate =      "Mon Sep 04 10:05:42 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/pagerank.bib",
  URL =          "https://people.inf.ethz.ch/arbenz/ewp/Lnotes/lsevp.pdf",
  acknowledgement = ack-nhfb,
  tableofcontents = "1 Introduction / 1 \\
                 1.1 What makes eigenvalues interesting? / 1 \\
                 1.2 Example 1: The vibrating string / 2 \\
                 1.2.1 Problem setting / 2 \\
                 1.2.2 The method of separation of variables / 5 \\
                 1.3 Numerical methods for solving 1-dimensional
                 problems / 6 \\
                 1.3.1 Finite differences / 6 \\
                 1.3.2 The finite element method / 7 \\
                 1.3.3 Global functions / 8 \\
                 1.3.4 A numerical comparison / 9 \\
                 1.4 Example 2: The heat equation / 9 \\
                 1.5 Example 3: The wave equation / 12 \\
                 1.6 The 2D Laplace eigenvalue problem / 13 \\
                 1.6.1 The finite difference method / 13 \\
                 1.6.2 The finite element method (FEM) / 16 \\
                 1.6.3 A numerical example / 20 \\
                 1.7 Cavity resonances in particle accelerators / 21 \\
                 1.8 Spectral clustering / 23 \\
                 1.8.1 The graph Laplacian / 24 \\
                 1.8.2 Spectral clustering / 25 \\
                 1.8.3 Normalized graph Laplacians / 27 \\
                 1.9 Google's PageRank / 28 \\
                 1.10 Other sources of eigenvalue problems / 30 \\
                 Bibliography / 31 \\
                 2 Basics / 33 \\
                 2.1 Notation / 33 \\
                 2.2 Statement of the problem / 34 \\
                 2.3 Similarity transformations / 37 \\
                 2.4 Schur decomposition / 38 \\
                 2.5 The real Schur decomposition / 39 \\
                 2.6 Normal matrices / 40 \\
                 2.7 Hermitian matrices / 41 \\
                 2.8 The Jordan normal form / 43 \\
                 2.9 Projections / 45 \\
                 2.10 The Rayleigh quotient / 47 \\
                 2.11 Cholesky factorization / 49 \\
                 2.12 The singular value decomposition (SVD) / 50 \\
                 Bibliography / 52 \\
                 3 Newton methods / 53 \\
                 3.1 Linear and nonlinear eigenvalue problems / 53 \\
                 3.2 Zeros of the determinant / 54 \\
                 3.2.1 Algorithmic differentiation / 55 \\
                 3.2.2 Hyman's algorithm / 55 \\
                 3.2.3 Computing multiple zeros / 58 \\
                 3.3 Newton methods for the constrained matrix problem /
                 58 \\
                 3.4 Successive linear approximations / 60 \\
                 Bibliography / 61 \\
                 4 The $ Q R $ Algorithm / 63 \\
                 4.1 The basic $ Q R $ algorithm / 63 \\
                 4.1.1 Numerical experiments / 64 \\
                 4.2 The Hessenberg $ Q R $ algorithm / 67 \\
                 4.2.1 A numerical experiment / 69 \\
                 4.2.2 Complexity / 70 \\
                 4.3 The Householder reduction to Hessenberg form / 71
                 \\
                 4.3.1 Householder reflectors / 71 \\
                 4.3.2 Reduction to Hessenberg form / 71 \\
                 4.4 Improving the convergence of the $ Q R $ algorithm
                 / 73 \\
                 4.4.1 A numerical example / 74 \\
                 4.4.2 $ Q R $ algorithm with shifts / 75 \\
                 4.4.3 A numerical example / 76 \\
                 4.5 The double shift $ Q R $ algorithm / 77 \\
                 4.5.1 A numerical example / 81 \\
                 4.5.2 The complexity / 83 \\
                 4.6 The symmetric tridiagonal $ Q R $ algorithm / 84
                 \\
                 4.6.1 Reduction to tridiagonal form / 84 \\
                 4.6.2 The tridiagonal $ Q R $ algorithm / 85 \\
                 4.7 Research / 87 \\
                 4.8 Summary / 87 \\
                 Bibliography / 88 \\
                 5 Cuppen's Divide and Conquer Algorithm / 91 \\
                 5.1 The divide and conquer idea / 91 \\
                 5.2 Partitioning the tridiagonal matrix / 92 \\
                 5.3 Solving the small systems / 92 \\
                 5.4 Deflation / 93 \\
                 5.4.1 Numerical examples / 94 \\
                 5.5 The eigenvalue problem for $D + \rho v v^T$ / 95
                 \\
                 5.6 Solving the secular equation / 98 \\
                 5.7 A first algorithm / 99 \\
                 5.7.1 A numerical example / 100 \\
                 5.8 The algorithm of Gu and Eisenstat / 103 \\
                 5.8.1 A numerical example [continued] / 104 \\
                 Bibliography / 107 \\
                 6 LAPACK and the BLAS / 109 \\
                 6.1 LAPACK / 109 \\
                 6.2 BLAS / 110 \\
                 6.2.1 Typical performance numbers for the BLAS / 111
                 \\
                 6.3 Blocking / 113 \\
                 6.4 LAPACK solvers for the symmetric eigenproblems /
                 114 \\
                 6.5 Generalized Symmetric Definite Eigenproblems (GSEP)
                 / 116 \\
                 6.6 An example of a LAPACK routines / 116 \\
                 Bibliography / 122 \\
                 7 Vector iteration (power method) / 125 \\
                 7.1 Simple vector iteration / 125 \\
                 7.2 Angles between vectors / 126 \\
                 7.3 Convergence analysis / 127 \\
                 7.4 A numerical example / 130 \\
                 7.5 The symmetric case / 131 \\
                 7.6 Inverse vector iteration / 135 \\
                 7.7 The generalized eigenvalue problem / 139 \\
                 7.8 Computing higher eigenvalues / 139 \\
                 7.9 Rayleigh quotient iteration / 140 \\
                 7.9.1 A numerical example / 143 \\
                 Bibliography / 144 \\
                 8 Simultaneous vector or subspace iterations / 145 \\
                 8.1 Basic subspace iteration / 145 \\
                 8.2 Angles between subspaces / 146 \\
                 8.3 Convergence of basic subspace iteration / 148 \\
                 8.4 Accelerating subspace iteration / 153 \\
                 8.5 Relation between subspace iteration and $ Q R $
                 algorithm / 158 \\
                 8.6 Addendum / 161 \\
                 Bibliography / 161 \\
                 9 Krylov subspaces / 163 \\
                 9.1 Introduction / 163 \\
                 9.2 Definition and basic properties / 164 \\
                 9.3 Polynomial representation of Krylov subspaces / 165
                 \\
                 9.4 Error bounds of Saad / 168 \\
                 Bibliography / 171 \\
                 10 Arnoldi and Lanczos algorithms / 173 \\
                 10.1 An orthonormal basis for the Krylov space Kj (x) /
                 173 \\
                 10.2 Arnoldi algorithm with explicit restarts / 175 \\
                 10.3 The Lanczos basis / 176 \\
                 10.4 The Lanczos process as an iterative method / 178
                 \\
                 10.5 An error analysis of the unmodified Lanczos
                 algorithm / 185 \\
                 10.6 Partial reorthogonalization / 187 \\
                 10.7 Block Lanczos / 190 \\
                 10.8 External selective reorthogonalization / 193 \\
                 Bibliography / 194 \\
                 11 Restarting Arnoldi and Lanczos algorithms / 195 \\
                 11.1 The $m$-step Arnoldi iteration / 195 \\
                 11.2 Implicit restart / 196 \\
                 11.3 Convergence criterion / 198 \\
                 11.4 The generalized eigenvalue problem / 199 \\
                 11.5 A numerical example / 201 \\
                 11.6 Another numerical example / 206 \\
                 11.7 The Lanczos algorithm with thick restarts / 210
                 \\
                 11.8 Krylov--Schur algorithm / 213 \\
                 11.9 The rational Krylov space method / 214 \\
                 Bibliography / 215 \\
                 12 The Jacobi--Davidson Method / 217 \\
                 12.1 The Davidson algorithm / 217 \\
                 12.2 The Jacobi orthogonal component correction / 218
                 \\
                 12.2.1 Restarts / 221 \\
                 12.2.2 The computation of several eigenvalues / 221 \\
                 12.2.3 Spectral shifts / 222 \\
                 12.3 The generalized Hermitian eigenvalue problem / 224
                 \\
                 12.4 A numerical example / 224 \\
                 12.5 The Jacobi--Davidson algorithm for interior
                 eigenvalues / 228 \\
                 12.6 Harmonic Ritz values and vectors / 229 \\
                 12.7 Refined Ritz vectors / 231 \\
                 12.8 The generalized Schur decomposition / 233 \\
                 12.9 JDQZ: Computing a partial $ Q Z $ decomposition /
                 233 \\
                 12.9.1 Restart / 235 \\
                 12.9.2 Deflation / 235 \\
                 12.9.3 Algorithm / 236 \\
                 12.10 Jacobi--Davidson for nonlinear eigenvalue
                 problems / 236 \\
                 Bibliography / 239 \\
                 13 Rayleigh quotient and trace minimization / 241 \\
                 13.1 Introduction / 241 \\
                 13.2 The method of steepest descent / 242 \\
                 13.3 The conjugate gradient algorithm / 243 \\
                 13.4 Locally optimal PCG (LOPCG) / 247 \\
                 13.5 The block Rayleigh quotient minimization algorithm
                 (BRQMIN) / 250 \\
                 13.6 The locally-optimal block preconditioned conjugate
                 gradient method (LOBPCG) / 250 \\
                 13.7 A numerical example / 251 \\
                 13.8 Trace minimization / 253 \\
                 Bibliography / 258",
}

@Article{Gazzola:2016:LGK,
  author =       "Silvia Gazzola and Enyinda Onunwor and Lothar Reichel
                 and Giuseppe Rodriguez",
  title =        "On the {Lanczos} and {Golub--Kahan} reduction methods
                 applied to discrete ill-posed problems",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "23",
  number =       "1",
  pages =        "187--204",
  month =        jan,
  year =         "2016",
  CODEN =        "NLAAEM",
  DOI =          "https://doi.org/10.1002/nla.2020",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  bibdate =      "Tue Feb 9 06:31:34 MST 2016",
  bibsource =    "http://www.interscience.wiley.com/jpages/1070-5325;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/numlinaa.bib;
                 http://www3.interscience.wiley.com/journalfinder.html",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Linear Algebra with Applications",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
  onlinedate =   "12 Oct 2015",
}

@Article{Bentbib:2018:EGL,
  author =       "A. H. Bentbib and M. {El Ghomari} and C. Jagels and K.
                 Jbilou and L. Reichel",
  title =        "The extended global {Lanczos} method for matrix
                 function approximation",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "50",
  pages =        "144--163",
  year =         "2018",
  CODEN =        "????",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  bibdate =      "Mon Mar 18 13:30:42 MDT 2019",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/etna.bib",
  URL =          "http://etna.mcs.kent.edu/vol.50.2018/pp144-163.dir/pp144-163.pdf;
                 http://etna.mcs.kent.edu/volumes/2011-2020/vol50/abstract.php?vol=50&pages=144-163",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://etna.mcs.kent.edu/",
}

@Article{Pozza:2018:LAC,
  author =       "Stefano Pozza and Miroslav S. Prani{\'c} and
                 Zden{\v{e}}k Strako{\v{s}}",
  title =        "The {Lanczos} algorithm and complex {Gauss}
                 quadrature",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "50",
  pages =        "1--19",
  year =         "2018",
  CODEN =        "????",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  bibdate =      "Wed Nov 7 07:27:24 MST 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/etna.bib",
  URL =          "http://etna.mcs.kent.edu/vol.50.2018/pp1-19.dir/pp1-19.pdf;
                 http://etna.mcs.kent.edu/volumes/2011-2020/vol50/abstract.php?vol=50&pages=1-19",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://etna.mcs.kent.edu/",
  remark =       "Special volume dedicated to Walter Gautschi on the
                 occasion of his 90th birthday.",
  abstract =     "Gauss quadrature can be naturally generalized in order
                 to approximate quasi-definite linear functionals, where
                 the interconnections with (formal) orthogonal
                 polynomials, (complex) Jacobi matrices, and the Lanczos
                 algorithm are analogous to those in the positive
                 definite case. In this survey we review these
                 relationships with giving references to the literature
                 that presents them in several related contexts. In
                 particular, the existence of the $n$-weight (complex)
                 Gauss quadrature corresponds to successfully performing
                 the first $n$ steps of the Lanczos algorithm for
                 generating biorthogonal bases of the two associated
                 Krylov subspaces. The Jordan decomposition of the
                 (complex) Jacobi matrix can be explicitly expressed in
                 terms of the Gauss quadrature nodes and weights and the
                 associated orthogonal polynomials. Since the output of
                 the Lanczos algorithm can be made real whenever the
                 input is real, the value of the Gauss quadrature is a
                 real number whenever all relevant moments of the
                 quasi-definite linear functional are real.",
}

@Article{Paige:2019:ALP,
  author =       "Christopher C. Paige",
  title =        "Accuracy of the {Lanczos} Process for the Eigenproblem
                 and Solution of Equations",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "40",
  number =       "4",
  pages =        "1371--1398",
  month =        "????",
  year =         "2019",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/17M1133725",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Thu May 28 10:55:46 MDT 2020",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/40/4;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
  onlinedate =   "January 2019",
}

@Article{Garza-Vargas:2020:LAU,
  author =       "Jorge Garza-Vargas and Archit Kulkarni",
  title =        "The {Lanczos} Algorithm Under Few Iterations:
                 Concentration and Location of the Output",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "41",
  number =       "3",
  pages =        "1312--1346",
  month =        "????",
  year =         "2020",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/19M1275231",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Fri Mar 12 10:18:03 MST 2021",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/41/3;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
  onlinedate =   "January 2020",
}

@Article{Simonova:2022:WDL,
  author =       "Dorota {\v{S}}imonov{\'a} and Petr Tich{\'y}",
  title =        "When does the {Lanczos} algorithm compute exactly?",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "55",
  pages =        "547--567",
  year =         "2022",
  CODEN =        "????",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  bibdate =      "Mon Jun 3 08:23:56 MDT 2024",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/etna.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  URL =          "https://etna.math.kent.edu/vol.55.2022/pp547-567.dir/pp547-567.pdf;
                 https://etna.math.kent.edu/volumes/2021-2030/vol55/abstract.php?vol=55&pages=547-567",
  abstract =     "In theory, the Lanczos algorithm generates an
                 orthogonal basis of the corresponding Krylov subspace.
                 However, in finite precision arithmetic the
                 orthogonality and linear independence of the computed
                 Lanczos vectors is usually lost quickly. In this paper
                 we study a class of matrices and starting vectors
                 having a special nonzero structure that guarantees
                 exact computations of the Lanczos algorithm whenever
                 floating point arithmetic satisfying the IEEE 754
                 standard is used. Analogous results are formulated also
                 for an implementation of the conjugate gradient method
                 called cgLanczos. This implementation then computes
                 approximations that agree with their exact counterparts
                 to a relative accuracy given by the machine precision
                 and the condition number of the system matrix. The
                 results are extended to the Arnoldi algorithm, the
                 nonsymmetric Lanczos algorithm, the Golub-Kahan
                 bidiagonalization, the block-Lanczos algorithm, and
                 their counterparts for solving linear systems.",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://etna.mcs.kent.edu/",
}

@Article{Cipolla:2023:LTP,
  author =       "Stefano Cipolla and Stefano Pozza and Michela
                 Redivo-Zaglia and Niel {Van Buggenhout}",
  title =        "A {Lanczos}-type procedure for tensors",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "92",
  number =       "1",
  pages =        "377--406",
  month =        jan,
  year =         "2023",
  CODEN =        "NUALEG",
  DOI =          "https://doi.org/10.1007/s11075-022-01351-6",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  bibdate =      "Mon Jan 30 12:22:09 MST 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  URL =          "https://link.springer.com/article/10.1007/s11075-022-01351-6",
  acknowledgement = ack-nhfb,
  ajournal =     "Numer. Algorithms",
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Zbikowski:2023:BBL,
  author =       "Ryan M. Zbikowski and Calvin W. Johnson",
  title =        "Bootstrapped block {Lanczos} for large-dimension
                 eigenvalue problems",
  journal =      j-COMP-PHYS-COMM,
  volume =       "291",
  number =       "??",
  pages =        "Article 108835",
  month =        oct,
  year =         "2023",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/j.cpc.2023.108835",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Thu Aug 10 07:51:47 MDT 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/compphyscomm2020.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0010465523001807",
  abstract =     "The Lanczos algorithm has proven itself to be a
                 valuable matrix eigensolver for problems with large
                 dimensions, up to hundreds of millions or even tens of
                 billions. The computational cost of using any Lanczos
                 algorithm is dominated by the number of sparse
                 matrix-vector multiplications required to reach
                 suitable convergence. Block Lanczos replaces sparse
                 matrix-vector multiplication with sparse matrix-matrix
                 multiplication; sparse matrix-matrix multiplication is
                 more efficient, due to improved data locality and
                 amortizing the cost of fetching or constructing a
                 matrix element, but for a randomly chosen starting
                 block (or pivot), block Lanczos requires more
                 multiplications to reach convergence. We find that a
                 bootstrapped pivot block, that is, an initial block
                 constructed from approximate eigenvectors computed in a
                 truncated space, leads to a dramatically reduced number
                 of multiplications, significantly outperforming both
                 standard vector Lanczos and block Lanczos with a random
                 pivot. A key condition for speed-up is that the pivot
                 block has a non-trivial overlap with the final
                 converged vector. We implement this approach in a
                 configuration-interaction code for nuclear structure,
                 and find a reduction in time-to-solution by a factor of
                 two or more, up to a factor of ten.",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@Article{Carson:2024:TUC,
  author =       "Erin Carson and J{\"o}rg Liesen and Zden{\v{e}}k
                 Strako{\v{s}}",
  title =        "Towards understanding {CG} and {GMRES} through
                 examples",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "692",
  number =       "??",
  pages =        "241--291",
  day =          "1",
  month =        jul,
  year =         "2024",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/j.laa.2024.04.003",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Wed Apr 24 13:20:32 MDT 2024",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala2020.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0024379524001381",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

%%% ====================================================================
%%% Cross-referenced entries must come last:

@Proceedings{Griffith:1957:DPA,
  editor =       "R. M. Griffith and J. A. Ovenstone and G. E. Barlow
                 and J. H. Stapleton and L. A. J. Malone",
  booktitle =    "Data Processing and Automatic Computing Machines:
                 Proceedings of Conference Held at {Weapons Research
                 Establishment, Salisbury, SA, June 3rd--8th, 1957}",
  title =        "Data Processing and Automatic Computing Machines:
                 Proceedings of Conference Held at {Weapons Research
                 Establishment, Salisbury, SA, June 3rd--8th, 1957}",
  publisher =    pub-WRE,
  address =      pub-WRE:adr,
  pages =        "vi + 298 (variously numbered)",
  year =         "1957",
  bibdate =      "Tue Sep 10 09:17:04 2024",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkes-maurice-v.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib",
  URL =          "https://www.massey.ac.nz/~rmclachl/DPACM/",
  acknowledgement = ack-nhfb,
  tableofcontents = "Preface \\
                 Organising committee \\
                 H. J. Brown, Introduction \\
                 Table of contents \\
                 Proceedings \\
                 B. G. Gates, Opening address \\
                 R. W. McG. Boswell, Introductory remarks to the
                 Conference on Data Processing and Automatic Computing
                 Machines \\
                 W. C. J. White, Introduction to the WRE data processing
                 system \\
                 J. A. Ovenstone, The WREDAC system \\
                 T. M. Cherry and F. Hirst, The Machine CSIRAC \\
                 J. M. Bennett and B. E. Swire, The SILLIAC \\
                 R. G. Smart, The UTECOM digital computer \\
                 T. Pearcey, Data reduction in pure scientific research
                 \\
                 A. D. Booth, Machine translation of languages \\
                 F. W. Harwood, Linguistic applications of computing
                 machinery \\
                 M. V. Wilkes, Some remarks on the numerical solution of
                 ordinary differential equations \\
                 J. W. Carr III, Generalised functional round-off error
                 analysis [abstract only] \\
                 R. H. Merson, An operational method for the study of
                 integration processes \\
                 J. M. Bennett, Continuant matrices in numerical
                 analysis \\
                 J. H. Wilkinson, The calculation of the eigenvectors of
                 codiagonal matrices produced by the Givens and Lanczos
                 processes \\
                 A. Jones, Eigenvalues and vectors of a symmetric matrix
                 using Jacobi's method \\
                 A. S. Douglas, On the solution of parabolic partial
                 differential equations by difference methods \\
                 T. M. Cherry, Numerical solution of a problem in forced
                 convection \\
                 B. A. Chartres, Monte Carlo calculation of the multiple
                 scattering of muons \\
                 J. C. Butcher, On the numerical inversion of Laplace
                 and Mellin transforms \\
                 P. J. Claringbold, The automatic design and analysis of
                 biological experiments \\
                 A. S. Douglas, Computers and Crystallography \\
                 H. C. Freeman, `SILLIAC' computer programs for X-ray
                 crystal structure analysis \\
                 C. L. Hamblin, An addressless coding scheme based on
                 mathematical notation \\
                 G. W. Hill and J. G. Sanderson, Automatic computing \\
                 R. G. Smart, The DEUCE matrix interpretive scheme \\
                 I. M. Bassett, Interpretive programming \\
                 J. M. Bennett, J. C. Butcher, M. Chapple, A new
                 diagnostic routine block \\
                 Appendices \\
                 Abstract cards \\
                 Volume I complete",
}

@Book{Householder:1964:TMN,
  author =       "Alston Scott Householder",
  booktitle =    "The Theory of Matrices in Numerical Analysis",
  title =        "The Theory of Matrices in Numerical Analysis",
  publisher =    pub-BLAISDELL,
  address =      pub-BLAISDELL:adr,
  pages =        "viii + 257",
  year =         "1964",
  LCCN =         "QA188 .H67 1964",
  bibdate =      "Tue Jun 19 06:23:59 MDT 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Introductions to higher mathematics; A Blaisdell book
                 in the pure and applied sciences",
  acknowledgement = ack-nhfb,
  author-dates = "1904--",
  subject =      "Matrices; Numerical analysis",
  tableofcontents = "1. Some basic identities and inequalities \\
                 2. Norms, bounds, and convergence \\
                 3. Localization theorems and other inequalities
                 (exclusion theorems; inclusion and separation theorems;
                 minimax theorems: inequalities of Wielandt and
                 Kantorovich) \\
                 4. The solution of linear systems: methods of
                 successive approximation \\
                 5. Direct methods of inversion \\
                 6. Proper values and vectors: normalization and
                 reduction of the matrix (methods of Krylov,
                 Webber-Voetter, Danilevskii, Hessenberg, Lanczos,
                 Samuelson and Bryan, Leverrier, etc.) \\
                 7. Proper values and vectors: successive approximation
                 (methods of Jacobi, Collar and Jahn; power method; $LR$
                 and $QR$ transformations)",
}

@Book{Wilkinson:1965:AEP,
  author =       "J. H. Wilkinson",
  booktitle =    "The Algebraic Eigenvalue Problem",
  title =        "The Algebraic Eigenvalue Problem",
  publisher =    pub-OXFORD,
  address =      pub-OXFORD:adr,
  pages =        "xviii + 662",
  year =         "1965",
  ISBN =         "0-19-853403-5",
  ISBN-13 =      "978-0-19-853403-7",
  LCCN =         "QA218 .W686 1965",
  MRclass =      "65.40",
  MRnumber =     "MR0184422 (32 \#1894)",
  MRreviewer =   "A. S. Householder",
  bibdate =      "Tue Aug 15 18:20:34 MDT 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib",
  shorttableofcontents = "1. Theoretical Background \\
                 2. Perturbation Theory \\
                 3. Error Analysis \\
                 4. Solution of Linear Algebraic Equations \\
                 5. Hermitian Matrices \\
                 6. Reduction of a General Matrix to Condensed Form \\
                 7. Eigenvalues of Matrices of Condensed Forms \\
                 8. The $ L R $ and $ Q R $ Algorithms \\
                 9. Iterative Methods \\
                 Bibliography / 649 \\
                 Index / 657",
  tableofcontents = "1. Theoretical Background \\
                 Introduction / 1 \\
                 Definitions / 2 \\
                 Eigenvalues and eigenvectors of the transposed matrix /
                 3 \\
                 Distinct eigenvalues / 4 \\
                 Similarity transformations / 6 \\
                 Multiple eigenvalues and canonical forms for general
                 matrices / 7 \\
                 Defective system of eigenvectors / 9 \\
                 The Jordan (classical) canonical form / 10 \\
                 The elementary divisors / 12 \\
                 Companion matrix of the characteristic polynomial of
                 $A$ / 12 \\
                 Non-derogatory matrices / 13 \\
                 The Frobenius (rational) canonical form / 15 \\
                 Relationship between the Jordan and Frobenius canonical
                 forms / 16 \\
                 Equivalence transformations / 17 \\
                 Lambda matrices / 18 \\
                 Elementary operations / 19 \\
                 Smith's canonical form / 19 \\
                 The highest common factor of $k$-rowed minors of a
                 $A$-matrix / 22 \\
                 Invariant factors of $ (A - \lambda M) $ / 22 \\
                 The triangular canonical form / 24 \\
                 Hermitian and symmetric matrices / 24 \\
                 Elementary properties of Hermitian matrices / 25 \\
                 Complex symmetric matrices / 26 \\
                 Reduction to triangular form by unitary transformations
                 / 27 \\
                 Quadratic forms / 27 \\
                 Necessary and sufficient conditions for positive
                 definiteness / 28 \\
                 Differential equations with constant coefficients / 30
                 \\
                 Solutions corresponding to non-linear elementary
                 divisors / 31 \\
                 Differential equations of higher order / 32 \\
                 Second-order equations of special form / 34 \\
                 Explicit solution of $ B \ddot{y} = -A y$ / 35 \\
                 Equations of the form $(AB - \lambda I) x = 0$ / 35 \\
                 The minimum polynomial of a vector / 36 \\
                 The minimum polynomial of a matrix / 37 \\
                 Cayley--Hamilton theorem / 38 \\
                 Relation between minimum polynomial and canonical forms
                 / 39 \\
                 Principal vectors / 42 \\
                 Elementary similarity transformations / 43 \\
                 Properties of elementary matrices / 45 \\
                 Reduction to triangular canonical form by elementary
                 similarity transformations / 46 \\
                 Elementary unitary transformations / 47 \\
                 Elementary unitary Hermitian matrices / 48 \\
                 Reduction to triangular form by elementary unitary
                 transformations / 50 \\
                 Normal matrices / 51 \\
                 Commuting matrices / 52 \\
                 Eigenvalues of $A B$ / 54 \\
                 Vector and matrix norms / 55 \\
                 Subordinate matrix norms / 56 \\
                 The Euclidean and spectral norms / 57 \\
                 Norms and limits / 58 \\
                 Avoiding use of infinite matrix series / 60 \\
                 2. Perturbation Theory \\
                 Introduction / 62 \\
                 Ostrowski's theorem on continuity of the eigenvalues /
                 63 \\
                 Algebraic functions / 64 \\
                 Numerical examples / 65 \\
                 Perturbation theory for simple eigenvalues / 66 \\
                 Perturbation of corresponding eigenvectors / 67 \\
                 Matrix with linear elementary divisors / 68 \\
                 First-order perturbations of eigenvalues / 68 \\
                 First-order perturbations of eigenvectors / 69 \\
                 Higher-order perturbations / 70 \\
                 Multiple eigenvalues / 70 \\
                 Gerschgorin's theorems / 71 \\
                 Perturbation theory based on Gerschgorin's theorems /
                 72 \\
                 Case 1. Perturbation of a simple eigenvalue $\lambda_1$
                 of a matrix having linear elementary divisors / 72 \\
                 Case 2. Perturbation of a multiple eigenvalue
                 $\lambda_1$ of a matrix having linear elementary
                 divisors / 75 \\
                 Case 3. Perturbation of a simple eigenvalue of a matrix
                 having one or more non-linear elementary divisors / 77
                 \\
                 Case 4. Perturbations of the eigenvalues corresponding
                 to a non-linear elementary divisor of a non-derogatory
                 matrix / 79 \\
                 Case 5. Perturbations of eigenvalues $\lambda_i$ when
                 there is more than one divisor involving $(\lambda_i -
                 \lambda_)$ and at least one of them is non-linear / 80
                 \\
                 Perturbations corresponding to the general distribution
                 of non-linear divisors / 81 \\
                 Perturbation theory for the eigenvectors from Jordan
                 canonical form / 81 \\
                 Perturbations of eigenvectors corresponding to a
                 multiple eigenvalue (linear elementary divisors) / 83
                 \\
                 Limitations of perturbation theory / 84 \\
                 Relationships between the $s_i$ / 85 \\
                 The condition of a computing problem / 86 \\
                 Condition numbers / 86 \\
                 Spectral condition number of A with respect to its
                 eigenproblem / 87 \\
                 Properties of spectral condition number / 88 \\
                 Invariant properties of condition numbers / 89 \\
                 Very ill-conditioned matrices / 90 \\
                 Perturbation theory for real symmetric matrices / 93
                 \\
                 Unsymmetric perturbations / 93 \\
                 Symmetric perturbations / 94 \\
                 Classical techniques / 94 \\
                 Symmetric matrix of rank unity / 97 \\
                 Extremal properties of eigenvalues / 98 \\
                 Minimax characterization of eigenvalues / 99 \\
                 Eigenvalues of the sum of two symmetric matrices / 101
                 \\
                 Practical applications / 102 \\
                 Further applications of minimax principle / 103 \\
                 Separation theorem / 103 \\
                 The Wielandt--Hoffman theorem / 104 \\
                 3. Error Analysis \\
                 Introduction / 110 \\
                 Fixed-point operations / 110 \\
                 Accumulation of inner-products / 111 \\
                 Floating-point operations / 112 \\
                 Simplified expressions for error bounds / 113 \\
                 Error bounds for some basic floating-point computations
                 / 114 \\
                 Bounds for norms of the error matrices / 115 \\
                 Accumulation of inner-products in floating-point
                 arithmetic / 116 \\
                 Error bounds for some basic $\fl_2( )$ computations /
                 117 \\
                 Computation of square roots / 118 \\
                 Block-floating vectors and matrices / 119 \\
                 Fundamental limitations oft-digit computation / 120 \\
                 Eigenvalue techniques based on reduction by similarity
                 transformations / 123 \\
                 Error analysis of methods based on elementary
                 non-unitary transformations / 124 \\
                 Error analysis of methods based on elementary unitary
                 transformations / 126 \\
                 Superiority of the unitary transformation / 128 \\
                 Real symmetric matrices / 129 \\
                 Limitations of unitary transformations / 129 \\
                 Error analysis of floating-point computation of plane
                 rotations / 131 \\
                 Multiplication by a plane rotation / 133 \\
                 Multiplication by a sequence of plane rotations / 134
                 \\
                 Error in product of approximate plane rotations / 139
                 \\
                 Errors in similarity transforms / 140 \\
                 Symmetric matrices / 141 \\
                 Plane rotations in fixed-point arithmetic / 143 \\
                 Alternative computation of $\sin \theta$ and $\cos
                 \theta$ / 145 \\
                 Pre-multiplication by an approximate fixed-point
                 rotation / 145 \\
                 Multiplication by a sequence of plane rotations
                 (fixed-point) / 147 \\
                 The computed product of an approximate set of plane
                 rotations / 148 \\
                 Errors in similarity transformations / 148 \\
                 General comments on the error bounds / 151 \\
                 Elementary Hermitian matrices in floating-point / 152
                 \\
                 Error analysis of the computation of an elementary
                 Hermitian matrix / 153 \\
                 Numerical example / 156 \\
                 Pre-multiplication by an approximate elementary
                 Hermitian matrix / 157 \\
                 Multiplication by a sequence of approximate elementary
                 Hermitians / 160 \\
                 Non-unitary elementary matrices analogous to plane
                 rotations / 162 \\
                 Non-unitary elementary matrices analogous to elementary
                 Hermitian matrices / 163 \\
                 Pre-multiplication by a sequence of non-unitary
                 matrices / 165 \\
                 A priori error bounds / 166 \\
                 Departure from normality / 167 \\
                 Simple examples / 169 \\
                 A posteriori bounds / 170 \\
                 A posteriori bounds for normal matrices / 170 \\
                 Rayleigh quotient / 172 \\
                 Error in Rayleigh quotient / 173 \\
                 Hermitian matrices / 174 \\
                 Pathologically close eigenvalues / 176 \\
                 Non-normal matrices / 178 \\
                 Error analysis for a complete eigensystem / 180 \\
                 Numerical example / 181 \\
                 Conditions limiting attainable accuracy / 181 \\
                 Non-linear elementary, divisors / 182 \\
                 Approximate invariant subspaces / 184 \\
                 Almost normal matrices / 187 \\
                 4. Solution of Linear Algebraic Equations \\
                 Introduction / 189 \\
                 Perturbation theory / 189 \\
                 Condition numbers / 191 \\
                 Equilibrated matrices / 192 \\
                 Simple practical examples / 193 \\
                 Condition of matrix of eigenvectors / 193 \\
                 Explicit solution / 194 \\
                 General comments on condition of matrices / 195 \\
                 Relation of ill-conditioning to near-singularity / 196
                 \\
                 Limitations imposed by t-digit arithmetic / 197 \\
                 Algorithms for solving linear equations / 198 \\
                 Gaussian elimination / 200 \\
                 Triangular decomposition / 201 \\
                 Structure of triangular decomposition matrices / 201
                 \\
                 Explicit expressions for elements of the triangles /
                 202 \\
                 Breakdown of Gaussian elimination / 204 \\
                 Numerical stability / 205 \\
                 Significance of the interchanges / 206 \\
                 Numerical example / 207 \\
                 Error analysis of Gaussian elimination / 209 \\
                 Upper bounds for the perturbation matrices using
                 fixed-point arithmetic / 211 \\
                 Upper bound for elements of reduced matrices / 212 \\
                 Complete pivoting / 212 \\
                 Practical procedure with partial pivoting / 214 \\
                 Floating-point error analysis / 214 \\
                 Floating-point decomposition without pivoting / 215 \\
                 Loss of significant figures / 217 \\
                 A popular fallacy / 217 \\
                 Matrices of special form / 218 \\
                 Gaussian elimination on a high-speed computer / 220 \\
                 Solutions corresponding to different right-hand sides /
                 221 \\
                 Direct triangular decomposition / 221 \\
                 Relations between Gaussian elimination and direct
                 triangular decomposition / 223 \\
                 Examples of failure and non-uniqueness of decomposition
                 / 224 \\
                 Triangular decomposition with row interchanges / 225
                 \\
                 Error analysis of triangular decomposition / 227 \\
                 Evaluation of determinants / 228 \\
                 Cholesky decomposition / 229 \\
                 Symmetric matrices which are not positive definite /
                 230 \\
                 Error analysis of Cholesky decomposition in fixed-point
                 arithmetic / 231 \\
                 An ill-conditioned matrix / 233 \\
                 Triangularization using elementary Hermitian matrices /
                 233 \\
                 Error analysis of Householder triangularization / 236
                 \\
                 Triangularization by elementary stabilized matrices of
                 the type M1, / 236 \\
                 Evaluation of determinants of leading principal minors
                 / 237 \\
                 Triangularization by plane rotations / 239 \\
                 Error analysis of Givens reduction / 240 \\
                 Uniqueness of orthogonal triangularization / 241 \\
                 Schmidt orthogonalization / 242 \\
                 Comparison of the methods of triangularization / 244
                 \\
                 Back-substitution / 247 \\
                 High accuracy of computed solutions of triangular sets
                 of equations / 249 \\
                 Solution of a general set of equations / 251 \\
                 Computation of the inverse of a general matrix / 252
                 \\
                 Accuracy of computed solutions / 253 \\
                 Ill-conditioned matrices which give no small pivots /
                 254 \\
                 Iterative improvements of approximate solution / 255
                 \\
                 Effect of rounding errors on the iterative process /
                 256 \\
                 The iterative procedure in fixed-point computation /
                 257 \\
                 Simple example of iterative procedure / 258 \\
                 General comments on the iterative procedure / 260 \\
                 Related iterative procedures / 261 \\
                 Limitations of the iterative procedure / 261 \\
                 Rigorous justification of the iterative method / 262
                 \\
                 5. Hermitian Matrices \\
                 Introduction / 265 \\
                 The classical Jacobi method for real symmetric matrices
                 / 266 \\
                 Rate of convergence / 267 \\
                 Convergence to fixed diagonal matrix / 268 \\
                 Serial Jacobi method / 269 \\
                 The Gerschgorin discs / 269 \\
                 Ultimate quadratic convergence of Jacobi methods / 270
                 \\
                 Close and multiple eigenvalues / 271 \\
                 Numerical examples / 273 \\
                 Calculation of cos 8 and sin B / 274 \\
                 Simpler determination of the angles of rotation / 276
                 \\
                 The threshold Jacobi method / 277 \\
                 Calculation of the eigenvectors / 278 \\
                 Numerical example / 279 \\
                 Error analysis of the Jacobi method / 279 \\
                 Accuracy of the computed eigenvectors / 280 \\
                 Error bounds for fixed-point computation / 281 \\
                 Organizational problems / 282 \\
                 Givens' method / 282 \\
                 Givens' process on a computer with a two-level store /
                 284 \\
                 Floating-point error analysis of Givens' process / 286
                 \\
                 Fixed-point error analysis / 287 \\
                 Numerical example / 288 \\
                 Householder's method / 290 \\
                 Taking advantage of symmetry / 292 \\
                 Storage considerations / 293 \\
                 Householder's process on a computer with a two-level
                 store / 294 \\
                 Householder's method in fixed-point arithmetic / 294
                 \\
                 Numerical example / 296 \\
                 Error analyses of Householder's method / 297 \\
                 Eigenvalues of a symmetric tri-diagonal matrix / 299
                 \\
                 Sturm sequence property / 300 \\
                 Method of bisection / 302 \\
                 Numerical stability of the bisection method / 302 \\
                 Numerical example / 305 \\
                 General comments on the bisection method / 306 \\
                 Small eigenvalues / 307 \\
                 Close eigenvalues and small $\beta_i$ / 308 \\
                 Fixed-point computation of the eigenvalues / 312 \\
                 Computation of the eigenvectors of a tri-diagonal form
                 / 315 \\
                 Instability of the explicit expression for the
                 eigenvector / 316 \\
                 Numerical examples / 319 \\
                 Inverse iteration / 321 \\
                 Choice of initial vector $b$ / 322 \\
                 Error analysis / 323 \\
                 Numerical example / 325 \\
                 Close eigenvalues and small $\beta_i$ / 327 \\
                 Independent vectors corresponding to coincident
                 eigenvalues / 328 \\
                 Alternative method for computing the eigenvectors / 330
                 \\
                 Numerical example / 331 \\
                 Comments on the eigenproblem for tri-diagonal matrices
                 / 332 \\
                 Completion of the Givens and Householder methods / 333
                 \\
                 Comparison of methods / 334 \\
                 Quasi-symmetric tri-diagonal matrices / 335 \\
                 Calculation of the eigenvectors / 336 \\
                 Equations of the form $A x = \lambda B x$ and $A B x =
                 \lambda X $ / 337 \\
                 Numerical example / 339 \\
                 Simultaneous reduction of $A$ and $B$ to diagonal form
                 / 340 \\
                 Tri-diagonal $A$ and $B$ / 340 \\
                 Complex Hermitian matrices / 342 \\
                 6. Reduction of a General Matrix to Condensed Form \\
                 Introduction / 345 \\
                 Givens' method / 345 \\
                 Householder's method / 347 \\
                 Storage considerations / 350 \\
                 Error analysis / 350 \\
                 Relationship between the Givens and Householder methods
                 / 351 \\
                 Elementary stabilized transformations / 353 \\
                 Significance of the permutations / 355 \\
                 Direct reduction to Hessenberg form / 357 \\
                 Incorporation of interchanges / 359 \\
                 Numerical example / 360 \\
                 Error analysis / 363 \\
                 Related error analyses / 365 \\
                 Poor determination of the Hessenberg matrix / 368 \\
                 Reduction to Hessenberg form using stabilized matrices
                 of the type $ M^'_{ji} $ / 368 \\
                 The method of Krylov / 369 \\
                 Gaussian elimination by columns / 370 \\
                 Practical difficulties / 371 \\
                 Condition of O for some standard distributions of
                 eigenvalues / 372 \\
                 Initial vectors of grade less than n / 374 \\
                 Practical experience / 376 \\
                 Generalized Hessenberg processes / 377 \\
                 Failure of the generalized Hessenberg process / 378 \\
                 The Hessenberg method / 379 \\
                 Practical procedure / 380 \\
                 Relation between the Hessenberg method and earlier
                 methods / 381 \\
                 The method of Arnoldi / 382 \\
                 Practical considerations / 383 \\
                 Significance of re-orthogonalization / 385 \\
                 The method of Lanczos / 388 \\
                 Failure of procedure / 389 \\
                 Numerical example / 390 \\
                 The practical Lanczos process / 391 \\
                 Numerical example / 392 \\
                 General comments on the unsymmetric Lanczos process /
                 394 \\
                 The symmetric Lanczos process / 394 \\
                 Reduction of a Hessenberg matrix to a more compact form
                 / 395 \\
                 Reduction of a lower Hessenberg matrix to tri-diagonal
                 form / 396 \\
                 The use of interchanges / 397 \\
                 Effect of a small pivotal element / 398 \\
                 Error analysis / 399 \\
                 The Hessenberg process applied to a lower Hessenberg
                 matrix / 402 \\
                 Relationship between the Hessenberg process and the
                 Lanczos process / 402 \\
                 Reduction of a general matrix to tri-diagonal form /
                 403 \\
                 Comparison with Lanczos method / 404 \\
                 Re-examination of reduction to tri-diagonal form / 404
                 \\
                 Reduction from upper Hessenberg form to Frobenius form
                 / 405 \\
                 Effect of small pivot / 407 \\
                 Numerical example / 408 \\
                 General comments on the stability / 408 \\
                 Specialized upper Hessenberg form / 409 \\
                 Direct determination of the characteristic polynomial /
                 410 \\
                 7. Eigenvalues of Matrices of Condensed Forms \\
                 Introduction / 413 \\
                 Explicit polynomial form / 413 \\
                 Condition numbers of explicit polynomials / 416 \\
                 Some typical distributions of zeros / 417 \\
                 Final assessment of Krylov's method / 421 \\
                 General comments on explicit polynomials / 421 \\
                 Tri-diagonal matrices / 423 \\
                 Determinants of Hessenberg matrices / 426 \\
                 Effect of rounding errors / 427 \\
                 Floating-point accumulation / 428 \\
                 Evaluation by orthogonal transformations / 429 \\
                 Evaluation of determinants of general matrices / 431
                 \\
                 The generalized eigenvalue problem / 432 \\
                 Indirect determinations of the characteristic
                 polynomial / 432 \\
                 Le Verrier's method / 434 \\
                 Iterative methods based on interpolation / 435 \\
                 Asymptotic rate of convergence / 436 \\
                 Multiple zeros / 437 \\
                 Inversion of the functional relationship / 439 \\
                 The method of bisection / 440 \\
                 Newton's method / 441 \\
                 Comparison of Newton's method with interpolation / 442
                 \\
                 Methods giving cubic convergence / 443 \\
                 Laguerre's method / 443 \\
                 Complex zeros / 446 \\
                 Complex conjugate zeros / 447 \\
                 Bairstow's method / 449 \\
                 The generalized Bairstow method / 450 \\
                 Practical considerations / 452 \\
                 Effect of rounding errors on asymptotic convergence /
                 453 \\
                 The method of bisection / 453 \\
                 Successive linear interpolation / 455 \\
                 Multiple and pathologically close eigenvalues / 457 \\
                 Other interpolation methods / 458 \\
                 Methods involving the use of a derivative / 459 \\
                 Criterion for acceptance of a zero / 461 \\
                 Effect of rounding errors / 462 \\
                 Suppression of computed zeros / 464 \\
                 Deflation for Hessenberg matrices / 465 \\
                 Deflation of tri-diagonal matrices / 468 \\
                 Deflation by rotations or stabilized elementary
                 transformations / 469 \\
                 Stability of the deflation / 472 \\
                 General comments on deflation / 474 \\
                 Suppression of computed zeros / 474 \\
                 Suppression of computed quadratic factors / 475 \\
                 General comments on the methods of suppression / 476
                 \\
                 Asymptotic rates of convergence / 478 \\
                 Convergence in the large / 478 \\
                 Complex zeros / 481 \\
                 Recommendations / 482 \\
                 Complex matrices / 483 \\
                 Matrices containing an independent parameter / 483 \\
                 8. The $ L R $ and $ Q R $ Algorithms \\
                 Introduction / 485 \\
                 Real matrices with complex eigenvalues / 486 \\
                 The $ L R $ algorithm / 487 \\
                 Proof of the convergence of the $A_s$ / 489 \\
                 Positive definite Hermitian matrices / 493 \\
                 Complex conjugate eigenvalues / 494 \\
                 Introduction of interchanges / 498 \\
                 Numerical example / 499 \\
                 Convergence of the modified process / 501 \\
                 Preliminary reduction of original matrix / 501 \\
                 Invariance of upper Hessenberg form / 502 \\
                 Simultaneous row and column operations / 504 \\
                 Acceleration of convergence / 505 \\
                 Incorporation of shifts of origin / 506 \\
                 Choice of shift of origin / 507 \\
                 Deflation of the matrix / 509 \\
                 Practical experience of convergence / 510 \\
                 Improved shift strategy / 511 \\
                 Complex conjugate eigenvalues / 512 \\
                 Criticisms of the modified $ L R $ algorithm. / 515 \\
                 The $ Q R $ algorithm / 515 \\
                 Convergence of the $ Q R $ algorithm / 516 \\
                 Formal proof of convergence / 517 \\
                 Disorder of the eigenvalues / 519 \\
                 Eigenvalues of equal modulus / 520 \\
                 Alternative proof for the $ L R $ technique / 521 \\
                 Practical application of the $ Q R $ algorithm / 523
                 \\
                 Shifts of origin / 524 \\
                 Decomposition of A8 / 525 \\
                 Numerical example / 527 \\
                 Practical procedure / 527 \\
                 Avoiding complex conjugate shifts / 528 \\
                 Double $ Q R $ step using elementary Hermitians / 532
                 \\
                 Computational details / 534 \\
                 Decomposition of A8 / 535 \\
                 Double-shift technique for $ L R $ / 537 \\
                 Assessment of $ L R $ and $ Q R $ algorithms / 538 \\
                 Multiple eigenvalues / 540 \\
                 Special use of the deflation process / 543 \\
                 Symmetric matrices / 544 \\
                 Relationship between $ L R $ and $ Q R $ algorithms /
                 545 \\
                 Convergence of the Cholesky $ L R $ algorithm / 546 \\
                 Cubic convergence of the $ Q R $ algorithm / 548 \\
                 Shift of origin in Cholesky $ L R $ / 549 \\
                 Failure of the Cholesky decomposition / 550 \\
                 Cubically convergent $ L R $ process / 551 \\
                 Band matrices / 553 \\
                 $ Q R $ decomposition of a band matrix / 557 \\
                 Error analysis / 561 \\
                 Unsymmetric band matrices / 562 \\
                 Simultaneous decomposition and recombination in $ Q R $
                 algorithm / 565 \\
                 Reduction of band width / 567 \\
                 9. ITERATIVE METHODS \\
                 Introduction / 570 \\
                 The power method / 570 \\
                 Direct iteration with a single vector / 571 \\
                 Shift of origin / 572 \\
                 Effect of rounding errors / 573 \\
                 Variation of $p$ / 576 \\
                 {\em Ad hoc\/} choice of $p$ / 577 \\
                 Aitken's acceleration technique / 578 \\
                 Complex conjugate eigenvalues / 579 \\
                 Calculation of the complex eigenvector / 581 \\
                 Shift of origin / 582 \\
                 Non-linear divisors / 582 \\
                 Simultaneous determination of several eigenvalues / 583
                 \\
                 Complex matrices / 584 \\
                 Deflation / 584 \\
                 Deflation based on similarity transformations / 585 \\
                 Deflation using invariant subspaces / 587 \\
                 Deflation using stabilized elementary transformations /
                 587 \\
                 Deflation using unitary transformations / 589 \\
                 Numerical stability / 590 \\
                 Numerical example / 592 \\
                 Stability of unitary transformations / 594 \\
                 Deflation by non-similarity transformations / 596 \\
                 General reduction using invariant subspaces / 599 \\
                 Practical application / 601 \\
                 Treppen-iteration / 602 \\
                 Accurate determination of complex conjugate eigenvalues
                 / 604 \\
                 Very close eigenvalues / 606 \\
                 Orthogonalization techniques / 606 \\
                 Analogue of treppen-iteration using orthogonalization /
                 607 \\
                 Bi-iteration / 609 \\
                 Numerical example / 610 \\
                 Richardson's purification process / 614 \\
                 Matrix squaring / 615 \\
                 Numerical stability / 616 \\
                 Use of Chebyshev polynomials / 617 \\
                 General assessment of methods based on direct iteration
                 / 618 \\
                 Inverse iteration / 619 \\
                 Error analysis of inverse iteration / 620 \\
                 General comments on the analysis / 621 \\
                 Further refinement of eigenvectors / 622 \\
                 Non-linear elementary divisors / 626 \\
                 Inverse iteration with Hessenberg matrices / 626 \\
                 Degenerate cases / 627 \\
                 Inverse iteration with band matrices / 628 \\
                 Complex conjugate eigenvectors / 629 \\
                 Error analysis / 631 \\
                 Numerical example / 633 \\
                 The generalized eigenvalue problem / 633 \\
                 Variation of approximate eigenvalues / 635 \\
                 Refinement of eigensystems / 637 \\
                 Numerical example / 639 \\
                 Refinement of the eigenvectors / 641 \\
                 Complex conjugate eigenvalues / 643 \\
                 Coincident and pathologically close eigenvalues / 644
                 \\
                 Comments on the ACE programmes / 646 \\
                 Bibliography / 649 \\
                 Index / 657",
}

@Book{Householder:1975:TMN,
  author =       "Alston Scott Householder",
  booktitle =    "The Theory of Matrices in Numerical Analysis",
  title =        "The Theory of Matrices in Numerical Analysis",
  publisher =    pub-DOVER,
  address =      pub-DOVER:adr,
  pages =        "xi + 257",
  year =         "1975c1964",
  ISBN =         "0-486-61781-5",
  ISBN-13 =      "978-0-486-61781-7",
  LCCN =         "QA188 .H67 1975",
  bibdate =      "Tue Jun 19 06:23:59 MDT 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 z3950.loc.gov:7090/Voyager",
  price =        "US\$4.00",
  acknowledgement = ack-nhfb,
  author-dates = "1904--",
  remark =       "Originally published in
                 \cite{Householder:1964:TMN}.",
  subject =      "Matrices; Numerical analysis",
  tableofcontents = "1. Some basic identities and inequalities \\
                 2. Norms, bounds, and convergence \\
                 3. Localization theorems and other inequalities
                 (exclusion theorems; inclusion and separation theorems;
                 minimax theorems: inequalities of Wielandt and
                 Kantorovich) \\
                 4. The solution of linear systems: methods of
                 successive approximation \\
                 5. Direct methods of inversion \\
                 6. Proper values and vectors: normalization and
                 reduction of the matrix (methods of Krylov,
                 Webber-Voetter, Danilevskii, Hessenberg, Lanczos,
                 Samuelson and Bryan, Leverrier, etc.) \\
                 7. Proper values and vectors: successive approximation
                 (methods of Jacobi, Collar and Jahn; power method; $LR$
                 and $QR$ transformations)",
}

@Book{Householder:2006:TMN,
  author =       "Alston Scott Householder",
  booktitle =    "The Theory of Matrices in Numerical Analysis",
  title =        "The Theory of Matrices in Numerical Analysis",
  publisher =    pub-DOVER,
  address =      pub-DOVER:adr,
  pages =        "xi + 257",
  year =         "2006",
  ISBN =         "0-486-44972-6 (paperback)",
  ISBN-13 =      "978-0-486-44972-2 (paperback)",
  LCCN =         "QA188 .H67 2006",
  bibdate =      "Tue Jun 19 06:23:59 MDT 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 z3950.loc.gov:7090/Voyager",
  URL =          "http://www.loc.gov/catdir/enhancements/fy0634/2005054775-d.html",
  acknowledgement = ack-nhfb,
  author-dates = "1904--",
  remark =       "Originally published in
                 \cite{Householder:1964:TMN}.",
  subject =      "Matrices; Numerical analysis",
  tableofcontents = "1. Some basic identities and inequalities \\
                 2. Norms, bounds, and convergence \\
                 3. Localization theorems and other inequalities
                 (exclusion theorems; inclusion and separation theorems;
                 minimax theorems: inequalities of Wielandt and
                 Kantorovich) \\
                 4. The solution of linear systems: methods of
                 successive approximation \\
                 5. Direct methods of inversion \\
                 6. Proper values and vectors: normalization and
                 reduction of the matrix (methods of Krylov,
                 Webber-Voetter, Danilevskii, Hessenberg, Lanczos,
                 Samuelson and Bryan, Leverrier, etc.) \\
                 7. Proper values and vectors: successive approximation
                 (methods of Jacobi, Collar and Jahn; power method; $LR$
                 and $QR$ transformations)",
}

@Book{Anonymous:1962:RDG,
  editor =       "Anonymous",
  booktitle =    "Recent Developments in General Relativity",
  title =        "Recent Developments in General Relativity",
  publisher =    "Pergamon Press",
  address =      "London, UK",
  pages =        "472",
  year =         "1962",
  LCCN =         "QC 6 .R295",
  bibdate =      "Mon May 29 07:39:23 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/dirac-p-a-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/i/infeld-leopold.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/einstein.bib",
  note =         "This book is dedicated to Leopold Infeld in connection
                 with his 60th birthday.",
  acknowledgement = ack-nhfb,
  author-dates = "Paul Adrian Maurice Dirac (1902--1984); Cornelius
                 Lanczos (1893--1974); John Lighton Synge (1897--1995);
                 Alfred Schild (1921--1977); Andrzej Mariusz Trautman
                 (1933--)",
  tableofcontents = "Part I \\
                 B{\'a}za{\'n}ski, S. / The problem of motion / 13 \\
                 Bergmann, P. G. and Komar, A. B. / Status report on the
                 quantization of the gravitational field / 31 \\
                 Bondi, H. / Relativity and cosmology / 47 \\
                 Ginzburg, V. L. / Experimental verifications of the
                 general theory of relativity / 57 \\
                 Lichnerowicz, A. et Four{\`e}s-Bruhat, Y. /
                 Probl{\`e}mes math{\'e}matiques en relativit{\'e} / 73
                 \\
                 Pirani, F. A. E. / Survey of gravitational radiation
                 theory / 89 \\
                 Tonneltat, M. A. / Les espoirs et les difficult{\'e}s
                 de la th{\'e}orie du champ unifi{\'e} d'Einstein / 107
                 \\
                 Part II \\
                 Anderson, J. L. / Absolute change in general relativity
                 / 121 \\
                 Arnowitt, R. L., Deser, S. and Misner, C. W. /
                 Canonical analysis of general relativity / 127 \\
                 B{\'a}za{\'n}ski, S. / The equations of motion and the
                 action principle in general relativity / 137 \\
                 Belinfante, F. J. / Two kinds of Schr{\"o}dinger
                 equations in general relativity theory / 151 \\
                 Bonnor, W. B. / On Birkhoff's theorem / 167 \\
                 Costa de Beauregard, O. / Une exp{\'e}rience
                 macroscopique pour tester l'asmm{\'e}trie du tenseur
                 inertial des milieux dou{\'e}s de spin / 171 \\
                 Dewitt, B. S. / Invariant commutators for the quantized
                 gravitational field / 175 \\
                 Dirac, P. A. M. / Interacting gravitational and spinor
                 fields / 191 \\
                 Ehlers, J. / Relativistic hydrodynamics and its
                 relation to interior solutions of the gravitational
                 field equations / 201 \\
                 Fock, V. / Einsteinian statics in conformal space / 209
                 \\
                 Gold, T. / The arrow of time / 225 \\
                 Goldberg, I. / On the quantum theory of gravitation /
                 235 \\
                 Golderg, J. N. / Dynamical variables and surface
                 integrals / 241 \\
                 Gupta, S. N. / Quantum theory of gravitation / 251 \\
                 Havas, P. / General relativity and the special
                 relativistic equations of motion of paint particles /
                 259 \\
                 Hoffmann, B. / On the extension of Birkhoff's theorem
                 to the case in which an electromagnetic field is
                 present / 279 \\
                 Jordan, P. / Empirical confirmation of Dirac's
                 hypothesis of diminishing gravitation / 283 \\
                 Jordan, P. / Remarks about the Ambarzumian's conception
                 of prestellar matter / 289 \\
                 Klein, O. / Mach's principle and cosmology in their
                 relation to general relativity / 293 \\
                 Kundt, W. and Hoffmann, B. / Determination of
                 gravitational standard time / 303 \\
                 Kundt, W. / Note on the equivalence problem / 307 \\
                 Lanczos, C. / Some properties of the
                 Riemann--Christoffel curvature tensor / 313 \\
                 Laurent, B. E. / On a generally covariant quantum
                 theory / 323 \\
                 Marder, L. / Locally isometric space-times / 333 \\
                 0zsv{\'a}th, I. and Sch{\"u}cking, E. / An
                 anti-Mach-metric / 339 \\
                 Papapetrou, A. and Treder, H. / Shock waves in general
                 relativity / 351 \\
                 Peres, A. / Motion and radiation of pole particles /
                 361 \\
                 Peres, A. and Rosen, N. / Boundary conditions in
                 general relativity theory / 367 \\
                 Petrov, A. Z. / Invariant classification of
                 gravitational fields / 371 \\
                 Petrov, A. Z. / Gravitational field geometry as the
                 geometry of automorphisms / 379 \\
                 Rosen, G. / Interpretation of Rainich geometry / 387
                 \\
                 Sachs, R. / Distance and the asymptotic behavior of
                 waves in general relativity / 395 \\
                 Schild, A. / Conservative gravitational theories of
                 Whitehead's type / 409 \\
                 Sciama, D. W. / On the analogy between charge and spin
                 in general relativity / 415 \\
                 Synge, J. L. / Relativity based on chronometry / 441
                 \\
                 Taub, A. H. / On spherically symmetric distributions of
                 incompressible fluids / 449 \\
                 Trautman, A. / On the propagation of information by
                 waves / 459 \\
                 Tulczyjew, B. and Tulczyjew, W. / On multipole
                 formalism in general relativity / 465--472",
}

@Proceedings{Bunch:1976:SMC,
  editor =       "James R. Bunch and Donald J. Rose",
  booktitle =    "{Sparse Matrix Computations: Proceedings of the
                 Symposium on Sparse Matrix Computations at Argonne
                 National Laboratory on September 9--11, 1975}",
  title =        "{Sparse Matrix Computations: Proceedings of the
                 Symposium on Sparse Matrix Computations at Argonne
                 National Laboratory on September 9--11, 1975}",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xi + 453",
  year =         "1976",
  ISBN =         "0-12-141050-1",
  ISBN-13 =      "978-0-12-141050-6",
  LCCN =         "QA188 .S989 1975",
  bibdate =      "Sat Oct 22 18:13:05 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
  tableofcontents = "Contributors / / ix \\
                 Preface / / xi \\
                 I. Design and Analysis of Elimination Algorithms / / 1
                 \\
                 1. Graph Theory and Gaussian Elimination / Robert Endre
                 Tarjan / 3 \\
                 2. Partitioning Using PAQ / Thomas D. Howell / 23 \\
                 3. Block Methods for Solving Sparse Linear Systems /
                 James R. Bunch / 39 \\
                 4. A Recursive Analysis of Dissection Strategies /
                 Donald J. Rose and Gregory F. Whitten / 59 \\
                 5. Applications of an Element Model for Gaussian
                 Elimination / S. C. Eisenstat, M. H. Schultz, and 4. H.
                 Sherman / 85 \\
                 6. An Optimization Problem Arising from Tearing Methods
                 / Alberto Sangiovanni-Vincentelli / 97 \\
                 II. Eigenvalue Problems . / / 111 \\
                 1. A Bibliographical Tour of the Large, Sparse
                 Generalized Eigenvalue Problem / G. W. Stewart / 113
                 \\
                 2. How Far Should You Go With the Lanczos Process? / W.
                 Kahan and B. N. Parlett / 131 \\
                 III. Optimization, Least Squares and Linear Programming
                 / / 145 \\
                 1. Optimization for Sparse Systems / T. L. Magnanti /
                 147 \\
                 2. Methods for Sparse Linear Least Squares Problems /
                 {AA}ke Bj{\"o}rck / 177 \\
                 3. The Orthogonal Factorization of a Large Sparse
                 Matrix / Philip E. Gill and Walter Murray / 201 \\
                 4. A Fast, Stable Implementation of the Simplex Method
                 Using Bartels-Golub Updating / Michael A. Saunders /
                 213 \\
                 5. Using the Steepest-edge Simplex Algorithm to Solve
                 Sparse Linear Programs / D. Goldfarb / 227 \\
                 IV. Mathematical Software / / 241 \\
                 1. Sparse Matrix Software / W. Morven Gentleman and
                 Alan George / 243 \\
                 2. Considerations in the Design of Software for Sparse
                 Gaussian Elimination / S. C. Eisenstat, M. H. Schultz,
                 and A. H. Sherman / 263 \\
                 3. Finding the Block Lower Triangular Form of a Sparse
                 Matrix / Fred Gustavson / 275 \\
                 V. Matrix Methods for Partial Difference Equations / /
                 291 \\
                 1. Marching Algorithms and Block Gaussian Elimination /
                 Randolph E. Bank / 293 \\
                 2. A Generalized Conjugate Gradient Method for the
                 Numerical Solution of Elliptic Partial Differential
                 Equations / Paul Concus, Gene H. Golub, and Dianne P.
                 O'Leary / 309 \\
                 3. Preconditioned Conjugate Gradient Iteration Applied
                 to Galerkin Methods for a Mildly-Nonlinear Dirichlet
                 Problem / Jim Douglas, Jr. and Todd Dupont / 333 \\
                 4. The Sparse Tableau Approach to Finite Element
                 Assembly / Gary Hachtel / 349 \\
                 5. A Capacitance Matrix Technique / B. L. Buzbee / 365
                 \\
                 6. M-Matrix Theory and Recent Results in Numerical
                 Linear Algebra / Richard S. Varga / 375 \\
                 VI. Applications / / 389 \\
                 1. Sparse Matrix Problems in a Finite Element Open
                 Ocean Model / Joel E. Hirsh and William L. Briggs / 391
                 \\
                 2. Calculation of Normal Modes of Oceans Using a
                 Lanczos Method / Alan K. Cline, Gene H. Golub, and
                 George W. Platzman / 409 \\
                 3. Application of Sparse Matrix Techniques to Reservoir
                 Simulation / P. T. Woo, S. C. Eisenstat, M. H. Schultz,
                 and A. H. Sherman / 427 \\
                 4. On the Origins and Numerical Solution of Some Sparse
                 Nonlinear Systems / T. A. Porsching / 439",
}

@Book{Kardos:1978:SFF,
  editor =       "Istv{\'a}n Kardos",
  title =        "Scientists face to face",
  publisher =    "Corvina",
  address =      "Budapest, Hungary",
  pages =        "400",
  year =         "1978",
  ISBN =         "963-13-0373-X",
  ISBN-13 =      "978-963-13-0373-5",
  ISSN =         "0139-3014",
  LCCN =         "Q141 .S3714",
  bibdate =      "Tue Jun 14 15:34:33 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Translated from Hungarian to English by Inez Kemenes
                 and others.",
  acknowledgement = ack-nhfb,
  tableofcontents = "{\'A}brah{\'a}m Ambrus (1893--1989) \\
                 Alexits Gy{\"o}rgy (1899--1978) \\
                 Breuer Marcel (1902--1981) \\
                 Freund Mih{\'a}ly (1889--1984) \\
                 G{\'a}bor D{\'e}nes (1900--1979) \\
                 Gegesi Kiss P{\'a}l (1900--1993) \\
                 Gerevich L{\'a}szl{\'o} (1911--1997) \\
                 Germanus Gyula (1884--1979) \\
                 Korach M{\'o}r (1888--1975) \\
                 L{\'a}nczos Korn{\'e}l (1893--1974)",
}

@Book{Kardos:1978:WIS,
  editor =       "Istv{\'a}n Kardos",
  title =        "{Wissenschaftler im Scheinwerferlicht}. ({German})
                 [{Scientists} in the spotlight]",
  publisher =    "Corvina",
  address =      "Budapest, Hungary",
  pages =        "443",
  year =         "1978",
  ISBN =         "963-13-0374-8",
  ISBN-13 =      "978-963-13-0374-2",
  ISSN =         "0139-3022",
  LCCN =         "????",
  bibdate =      "Tue Jun 14 15:34:33 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Translated from Hungarian to German by Tam{\'a}s
                 Sz{\'a}nt{\'o} und Hannelore Weichenhain.",
  acknowledgement = ack-nhfb,
  language =     "German",
  tableofcontents = "{\'A}brah{\'a}m Ambrus (1893--1989) \\
                 Alexits Gy{\"o}rgy (1899--1978) \\
                 Breuer Marcel (1902--1981) \\
                 Freund Mih{\'a}ly (1889--1984) \\
                 G{\'a}bor D{\'e}nes (1900--1979) \\
                 Gegesi Kiss P{\'a}l (1900--1993) \\
                 Gerevich L{\'a}szl{\'o} (1911--1997) \\
                 Germanus Gyula (1884--1979) \\
                 Korach M{\'o}r (1888--1975) \\
                 L{\'a}nczos Korn{\'e}l (1893--1974)",
}

@Book{Banizs:2002:LKS,
  author =       "{Banizs K{\'a}roly}",
  title =        "{A ``L{\'a}nczos Korn{\'e}l --- Szekf{\"u} Gyula
                 {\"O}szt{\"o}nd{\'\i}j'' Alap{\'\i}tv{\'a}ny 10
                 {\'e}ve, 1993-2002: jubileumi kiadv{\'a}ny: L{\'a}nczos
                 Korn{\'e}l {\'e}s Szekf Gyula {\'e}lete {\'e}s
                 munk{\'a}ss{\'a}ga}. ({Hungarian}) [{The} {L{\'a}nczos
                 Kornel Gyula Szekf{\"u} Scholarship Foundation} 10
                 years anniversary 1993--2002: jubilee publication:
                 {Kornel L{\'a}nczos} and {Gyula Szekf{\"u}} life and
                 work]",
  publisher =    "Sz{\'e}kesfeh{\'e}rv{\'a}r Megyei-jog{\'u} V{\'a}ros
                 {\"O}nkorm{\'a}nyzata",
  address =      "Sz{\'e}kesfeh{\'e}rv{\'a}r, Hungary",
  pages =        "134",
  year =         "2002",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Tue Jun 14 15:22:52 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  language =     "Hungarian",
}

@Book{Anonymous:1952:TCP,
  editor =       "Anonymous",
  booktitle =    "Tables of {Chebyshev} polynomials, {$ S_n(x) $} and {$
                 C_n(x) $}",
  title =        "Tables of {Chebyshev} polynomials, {$ S_n(x) $} and {$
                 C_n(x) $}",
  volume =       "9",
  publisher =    pub-USGPO,
  address =      pub-USGPO:adr,
  pages =        "xxx + 161",
  year =         "1952",
  LCCN =         "????",
  MRclass =      "65.0X",
  MRnumber =     "68893",
  MRreviewer =   "L. Fox",
  bibdate =      "Wed Jun 08 18:57:59 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/fox-leslie.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "Foreword by J. C. P. Miller. Introduction by Cornelius
                 Lanczos.",
  series =       "National Bureau of Standards Applied Mathematics
                 Series",
  acknowledgement = ack-nhfb,
  reviewer-dates = "Leslie Fox (30 September 1918--1 August 1992)",
}

@Proceedings{Anonymous:1955:PSS,
  editor =       "Anonymous",
  booktitle =    "{Proceedings of the [1951] symposium on spectral
                 theory and differential problems}",
  title =        "{Proceedings of the [1951] symposium on spectral
                 theory and differential problems}",
  publisher =    "Mathematics Department, Oklahoma Agricultural and
                 Mechanical College",
  address =      "Stillwater, OK, USA",
  pages =        "454",
  year =         "1955",
  LCCN =         "QA3 .O5 1951",
  bibdate =      "Wed Jun 8 19:25:45 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 melvyl.cdlib.org:210/CDL90",
  acknowledgement = ack-nhfb,
  remark =       "Jointly sponsored by the American Mathematical
                 Society, the Office of Naval Research, and the Oklahoma
                 Agricultural and Mechanical College.",
  subject =      "Mathematics",
}

@Book{Szego:1962:SMA,
  editor =       "G{\'a}bor Szeg{\H{o}} and others",
  booktitle =    "Studies in mathematical analysis and related topics;
                 essays in honor of {George P{\'o}lya}",
  title =        "Studies in mathematical analysis and related topics;
                 essays in honor of {George P{\'o}lya}",
  volume =       "4",
  publisher =    pub-STANFORD,
  address =      pub-STANFORD:adr,
  pages =        "xxi + 447",
  year =         "1962",
  LCCN =         "QA3 .S8525",
  bibdate =      "Fri Jun 10 06:25:16 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Stanford studies in mathematics and statistics",
  acknowledgement = ack-nhfb,
  remark =       "English, German, or French.",
  subject =      "P\'olya, George; Mathematics",
  subject-dates = "1887--1985",
}

@Proceedings{Treder:1966:ESE,
  editor =       "Hans-J{\"u}rgen Treder",
  booktitle =    "{Einstein-Symposium ``Entstehung, Entwicklung und
                 Perspektiven der Einsteinschen Gravitationstheorie'':
                 vom 2.--5. November 1965 in Berlin aus Anla{\ss} des
                 50. Jahrestages der Entdeckung der allgemeinen
                 relativistischen Gravitationsgleichungen und ihrer
                 Vorlage in der Gesamtsitzung der Berliner Akademie am
                 4. November 1915 durch Albert Einstein: Vortr{\"a}ge
                 und Diskussionen}",
  title =        "{Einstein-Symposium ``Entstehung, Entwicklung und
                 Perspektiven der Einsteinschen Gravitationstheorie'':
                 vom 2.--5. November 1965 in Berlin aus Anla{\ss} des
                 50. Jahrestages der Entdeckung der allgemeinen
                 relativistischen Gravitationsgleichungen und ihrer
                 Vorlage in der Gesamtsitzung der Berliner Akademie am
                 4. November 1915 durch Albert Einstein: Vortr{\"a}ge
                 und Diskussionen}",
  publisher =    pub-AKADEMIE-VERLAG,
  address =      pub-AKADEMIE-VERLAG:adr,
  pages =        "314",
  year =         "1966",
  LCCN =         "????",
  bibdate =      "Fri Jun 10 06:39:31 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 z3950.gbv.de:20011/gvk",
  acknowledgement = ack-nhfb,
}

@Proceedings{Cohen:1967:PBC,
  editor =       "Robert Sonn{\'e} Cohen and Marx W. Wartofsky",
  booktitle =    "Proceedings of the {Boston} colloquium for the
                 philosophy of science 1964\slash 1966, in memory of
                 {Norwood Russell Hanson}",
  title =        "Proceedings of the {Boston} colloquium for the
                 philosophy of science 1964\slash 1966, in memory of
                 {Norwood Russell Hanson}",
  volume =       "3",
  publisher =    pub-REIDEL,
  address =      pub-REIDEL:adr,
  bookpages =    "xlix + 489",
  pages =        "xlix + 489",
  year =         "1967",
  DOI =          "https://doi.org/10.1007/978-94-010-3508-8",
  ISBN =         "90-277-0013-3, 94-010-3508-3",
  ISBN-13 =      "978-90-277-0013-1, 978-94-010-3508-8",
  ISSN =         "0068-0346",
  ISSN-L =       "0068-0346",
  LCCN =         "Q175 .B731 v.3",
  bibdate =      "Sat Nov 10 09:55:12 MST 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/bsphs.bib",
  series =       ser-BOSTON-STUD-PHILOS-SCI,
  URL =          "https://link.springer.com/book/10.1007/978-94-010-3508-8",
  acknowledgement = ack-nhfb,
  editor-dates = "Marx W. Wartofsky (1928--1997)",
  series-URL =   "https://link.springer.com/bookseries/5710",
  subject-dates = "Norwood Russell Hanson (1924--1967)",
  tableofcontents = "Front Matter / / i--xlix \\
                 The Early Modern Revolution in Science and Philosophy
                 \\
                 The Early Modern Revolution in Science and Philosophy /
                 Benjamin Nelson / 1--40 \\
                 Taxonomy and Information \\
                 Taxonomy and Information / David Hawkins / 41--55 \\
                 On the Elementarity of Measurement in General
                 Relativity: Toward a General Theory / Mendel Sachs /
                 56--80 \\
                 Symposium on Innate Ideas \\
                 Recent Contributions to the Theory of Innate Ideas /
                 Noam Chomsky / 81--90 \\
                 The `Innateness Hypothesis' and Explanatory Models in
                 Linguistics / Hilary Putnam / 91--101 \\
                 The Epistemological Argument / Nelson Goodman /
                 102--107 \\
                 Natural Kinds / G. Schlesinger / 108--122 \\
                 Metaphysics as Heuristic for Science / Marx Wartofsky /
                 123--172 \\
                 Comments / Ruth Anna Putnam / 173--180 \\
                 Rationalism and the Physical World / C. Lanczos /
                 181--198 \\
                 On the Foundations of Probability Theory / Hilda
                 Geiringer / 199--227 \\
                 Comments / Laszlo Tisza / 228--235 \\
                 Elementarity and Reality in Particle Physics / William
                 A. Wallace / 236--263 \\
                 Comments / Mary B. Miller / 264--271 \\
                 Semantic Sources of the Concept of Law / Gerd Buchdahl
                 / 272--292 \\
                 Science in Flux / Joseph Agassi / 293--323 \\
                 Comments / Judith Jarvis Thomson / 324--330 \\
                 Conceptual Revolutions in Science / Stephen Toulmin /
                 331--347 \\
                 Comment on Stephen Toulmin's `Conceptual Revolutions in
                 Science' / Louis O. Mink / 348--355 \\
                 The Center of the World / Asher Moore / 356--375 \\
                 Comments: Analytic Premises and Existential Conclusions
                 / Michael Martin / 376--386 \\
                 On the Improvement of the Sciences and the Arts, and
                 the Possible Identity of the Two / Paul K. Feyerabend /
                 387--415 \\
                 Comments: Acute Proliferitis / Peter Achinstein /
                 416--424 \\
                 An Answer / Norman Rudich / 425--432 \\
                 Comments: Illustration vs. Experimental Test / Marx W.
                 Wartofsky / 433--439 \\
                 Logic as Calculus and Logic as Language / Jean Van
                 Heijenoort / 440--446 \\
                 Three Studies in the Philosophy of Space and Time /
                 Zdzis{\l}aw Augustynek / 447--466 \\
                 What I Don't Believe / Norwood Russell Hanson /
                 467--489",
}

@Proceedings{Clark:1969:MMS,
  editor =       "R. C. (Roger Cortham) Clark and G. H. (Graham
                 Holbrook) Derrick",
  title =        "Mathematical methods in solid state and superfluid
                 theory",
  publisher =    "Oliver and Boyd",
  address =      "Edinburgh, UK",
  bookpages =    "400",
  pages =        "400",
  year =         "1969",
  LCCN =         "QC176.A1 S36 1967",
  bibdate =      "Mon Jun 20 15:09:42 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  meetingname =  "Scottish Universities' Summer School in Physics (8th :
                 1967 : St. Andrews, Scotland)",
  subject =      "Solids; Superfluidity",
}

@Book{Salam:1972:AQT,
  editor =       "Abdus Salam and Eugene Paul Wigner",
  booktitle =    "Aspects of quantum theory",
  title =        "Aspects of quantum theory",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "xvi + 268",
  year =         "1972",
  ISBN =         "0-521-08600-0",
  ISBN-13 =      "978-0-521-08600-4",
  LCCN =         "QC174.1 .A85 1972",
  bibdate =      "Mon May 16 14:00:57 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/dirac-p-a-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 z3950.loc.gov:7090/Voyager",
  URL =          "http://hooke.lib.cam.ac.uk/cgi-bin/bib_seek.cgi?cat=ul&bib=1733506;
                 http://www.loc.gov/catdir/enhancements/fy1001/72075298-d.html;
                 http://www.loc.gov/catdir/enhancements/fy1001/72075298-t.html",
  acknowledgement = ack-nhfb,
  subject =      "Quantum theory; Dirac, P. A. M; (Paul Adrien
                 Maurice)",
  subject-dates = "1902--1984",
  tableofcontents = "Prepared to commemorate the 70th birthday of P. A.
                 M. Dirac \\
                 Bibliography of P. A. M. Dirac (p. xiii--xvi) \\
                 Eden, R. J. and Polkinghorne, J. C. / Dirac in
                 Cambridge \\
                 Van Vleck, J. H. / Travels with Dirac in the Rockies
                 \\
                 Mehra, J. / The golden age of theoretical physics: P.
                 A. M. Dirac's scientific work from 1924 to 1933 \\
                 Jost, R. / Foundation of quantum field theory \\
                 Pais, A. / The early history of the theory of the
                 electron: 1897--1947 \\
                 Wightman, A. S. / The Dirac equation \\
                 Peierls, R. / Fermi--Dirac statistics \\
                 Heisenberg, W. / Indefinite metric in state space \\
                 Jauch, J. M. / On bras and kets \\
                 Lanczos, C. / The Poisson bracket \\
                 Schwartz, L. / La fonction $\delta$ et les noyaux \\
                 Amaldi, E. and Cabibbo, N. / On the Dirac magnetic
                 poles \\
                 Dyson, F. J. / The fundamental constants and their time
                 variation \\
                 Wigner, E. P. / On the time-energy uncertainty relation
                 \\
                 Salam, A. and Strathdee, J. / The path-integral
                 quantization of gravity",
}

@Proceedings{Miller:1973:TNA,
  editor =       "John J. H. Miller",
  booktitle =    "{Topics in numerical analysis: Proceedings of the
                 Royal Irish Academy Conference on Numerical Analysis,
                 Dublin, 14--18 August, 1972}",
  title =        "{Topics in numerical analysis: Proceedings of the
                 Royal Irish Academy Conference on Numerical Analysis,
                 Dublin, 14--18 August, 1972}",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xviii + 348",
  year =         "1973",
  ISBN =         "0-12-496950-X",
  ISBN-13 =      "978-0-12-496950-6",
  LCCN =         "QA297 .R691 1972",
  bibdate =      "Mon Jun 20 15:17:47 MDT 2011",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb # " and " # ack-sf,
}

@Proceedings{Glockner:1974:SSG,
  editor =       "P. G. Glockner and M. C. Singh",
  booktitle =    "{Symmetry, similarity and group theoretic methods in
                 mechanics. Proceedings of symposium held at the
                 University of Calgary, August 19--21, 1974}",
  title =        "{Symmetry, similarity and group theoretic methods in
                 mechanics. Proceedings of symposium held at the
                 University of Calgary, August 19--21, 1974}",
  publisher =    "University of Calgary",
  address =      "Calgary, AB, Canada",
  pages =        "633",
  year =         "1974",
  LCCN =         "QA805.C65x 1974",
  bibdate =      "Mon Jun 20 15:23:12 MDT 2011",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  subject =      "Mechanics, Analytic; Congresses",
}

@Book{Scaife:1974:SNA,
  editor =       "B. K. P. (Brendan Kevin Patrick) Scaife",
  booktitle =    "Studies in numerical analysis: papers in honour of
                 {Cornelius Lanczos}",
  title =        "Studies in numerical analysis: papers in honour of
                 {Cornelius Lanczos}",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xxii + 333",
  year =         "1974",
  ISBN =         "0-12-621150-7",
  ISBN-13 =      "978-0-12-621150-4",
  LCCN =         "QA297 .S86",
  bibdate =      "Wed Jun 8 14:07:51 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hamming-richard-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "Published for the Royal Irish Academy.",
  URL =          "http://catalog.hathitrust.org/Record/000575557",
  acknowledgement = ack-nhfb,
  subject =      "Numerical analysis; Lanczos, Cornelius; Bibliography",
  subject-dates = "1893--1974",
  tableofcontents = "Contributors / v \\
                 Editor's Foreword / vii \\
                 Cornelius Lanczos --- A Biographical Note / ix \\
                 List of Publications by Cornelius Lanczos / xii \\
                 \\
                 Table-making at the National Bureau of Standards /
                 Gertrude Blanch and Ida Rhodes / 1 \\
                 \\
                 Vignette of a Cultural Episode / Wilhelm Magnus / 7 \\
                 \\
                 The Physicist as Poet / Janice Bireline / 15 \\
                 \\
                 Conservation Laws in Einstein's General Theory of
                 Relativity / William R. Davis / 29 \\
                 \\
                 I Introduction / 29 \\
                 II Historical Comments --- Field Conservation Laws
                 proposed for General Relativity 1916--1959 / 31 \\
                 III Properties of General Covariant Field Theories / 34
                 \\
                 IV Remarks on Symmetry Properties and Invariance
                 Principles in Physical Theories / 37 \\
                 V Conservation Laws of Particle Mechanics in Riemannian
                 Spacetime / 40 \\
                 VI Particle Conservation Laws for Symmetry Properties
                 not representable by Point Deformations / 41 \\
                 VII Field Conservation Law Generators in General
                 Relativity / 43 \\
                 VIII Comments on Application of Conservation Laws for
                 Physically Closed Systems / 45 \\
                 IX Tensorial Tetrad Conservation Law Generators / 47
                 \\
                 X Conservation Laws for Curve Congruences with Special
                 Kinematical and Symmetry Properties / 50 \\
                 XI Other Integral Conservation Expressions / 52 \\
                 XII Conclusions / 54 \\
                 \\
                 An elementary procedure for the evaluation of electric
                 networks / L. Janossy / 65 \\
                 \\
                 Canonical Polynomials in the Lanczos Tau Method ---
                 Eduardo L. Ortiz / 73 \\
                 \\
                 I Introduction / 73 \\
                 II Mathematical Tables and Machine Tables / 74 \\
                 III The Tau Method / 76 \\
                 IV The Canonical Polynomials / 77 \\
                 V The Recursive Form of the Tau Method / 78 \\
                 VI Algebraic Formulation / 81 \\
                 VII Integrated Forms of the Tau Method / 82 \\
                 VIII Expansion of the Approximate Solution in More
                 General Bases / 86 \\
                 IX Eigenvalue Problems / 90 \\
                 \\
                 Rational Approximations from Chebyshev Series --- C. W.
                 Clenshaw and K. Lord / 95 \\
                 \\
                 I Introduction / 95 \\
                 II The Generalized Pad{\'e} Approximation / 98 \\
                 III The Chebyshev--Pad{\'e} Table / 98 \\
                 IV The Calculation of $S_{m,n}(x)$ / 101 \\
                 V An Example / 102 \\
                 VI Case of Slow Convergence / 104 \\
                 VII Computational Aspects / 105 \\
                 VIII Numerical Results / 107 \\
                 \\
                 Accuracy of Computed Eigensystems and Invariant
                 Subspaces / G. Peters and J. H. Wilkinson / 115 \\
                 \\
                 I Introduction / 115 \\
                 II Summary of Perturbation Theory for Normal Matrices /
                 115 \\
                 III Perturbation Theory for Non-Normal Matrices / 119
                 \\
                 IV Eigenvector Perturbations / 123 \\
                 V Computation of Orthogonal Bases for an Invariant
                 Subspace / 124 \\
                 VI Numerical Example / 127 \\
                 VII Attainable Accuracy / 129 \\
                 VIII Low Relative Errors in Small Eigenvalues / 132 \\
                 \\
                 Buckling of a Beam under Axial Compression with Elastic
                 Support / A. P. Gallagher / 137 \\
                 \\
                 I Introduction / 137 \\
                 II Formulation of the Integro--Differential Equation /
                 139 \\
                 III Analysis of the Even Modes of Buckling / 140 \\
                 IV Analysis of the Odd Modes of Buckling / 142 \\
                 V Numerical Results / 143 \\
                 \\
                 The Frequency Approach to Numerical Analysis / R. W.
                 Hamming / 151 \\
                 \\
                 I Introduction / 151 \\
                 II The effects of Sampling-Aliasing / 152 \\
                 III The Finite Fourier Series / 154 \\
                 IV The Nyquist Interval and the Sampling Theorem / 158
                 \\
                 V The Difference Table and Noise / 160 \\
                 VI A Quick Look at Integration / 162 \\
                 VII Smoothing / 163 \\
                 VIII The Gibbs Phenomenon / 166 \\
                 IX Elementary Filter Theory / 169 \\
                 X More Advanced Filter Theory / 172 \\
                 \\
                 Detouring around Computational Roadblocks --- A Tale of
                 Two Integrals / Forman S. Acton / 177 \\
                 \\
                 The Hypercircle Method / J. L. Synge / 201 \\
                 \\
                 I Simplification / 201 \\
                 II An Example: The Dirichlet Problem / 203 \\
                 III The Pay-Off in the Dirichlet Problem / 207 \\
                 IV More General View. The Hypercircle / 209 \\
                 V Historical Note / 212 \\
                 VI The Significance of a Small Hypersphere / 213 \\
                 VII Vertices / 215 \\
                 \\
                 Lower Bounds for the Dirichlet Integral / J. J. McMahon
                 / 219 \\
                 \\
                 I The Problem / 219 \\
                 II Essential Inequality / 220 \\
                 III Method of Constructing Normally-Continuous
                 Divergent-Free Vector-Fields / 221 \\
                 IV A Class of Functions and Vector-Fields / 223 \\
                 V Properties of $P''_{\rho \sigma}$ / ??? \\
                 VI Formulae for the Three Fundamental Vector-Fields /
                 225 \\
                 VII Integrals of Vector-Fields / 228 \\
                 VIII Use of Symmetry / 230 \\
                 IX A Calculation with Lattice Edge $a = 1$ / 231 \\
                 \\
                 The Koenig--Hadamard Theorem again / Alston S.
                 Householder / 235 \\
                 \\
                 Significance Arithmetic --- On the Algebra of Binary
                 Strings / N. Metropolis and Gian-Carlo Rota / 241 \\
                 \\
                 I Introduction / 241 \\
                 II The Arithmetic of Binary Strings / 243 \\
                 III Multiplication / 247 \\
                 IV Binary Functions / 250 \\
                 \\
                 Practical Algorithms for Finding the Type of a
                 Polynomial / John J. H. Miller / / 253 \\
                 \\
                 I Introduction / 253 \\
                 II The Type of a Polynomial Relative to the Unit Circle
                 / 254 \\
                 III The Type of a Polynomial Relative to the Imaginary
                 Axis / 256 \\
                 IV Examples / 260 \\
                 \\
                 The Edge-Function Method in Elastostatics / P. M.
                 Quinlan / 265 \\
                 \\
                 Introduction / 265 \\
                 I The Elastostatic Problem / 266 \\
                 II Edge-Functions for a Polygonal Region / 267 \\
                 III Derived Edge-Functions / 269 \\
                 IV Some Particular Integrals / 271 \\
                 V Polygonal Beam: The Boundary Identity Problem / 272
                 \\
                 VI Trapezoidal Beam --- Illustration Examples / 276 \\
                 VII Polar Elasto-Functions / 278 \\
                 VIII Singular Loadings / 282 \\
                 IX Singular Loadings on Boundary / 284 \\
                 X Symmetrical Functions / 286 \\
                 XI Symmetrical Singular Loadings / 287 \\
                 XII Applications / 288 \\
                 \\
                 Generalised Lobatto Quadrature Formulas for Contour
                 Integrals / S. J. Maskell and R. A. Sack / 295 \\
                 \\
                 I Introduction / 295 \\
                 II General Formulas for the Coefficients / 298 \\
                 I II Generalized Lobatto- Mehler Quadrature / 300 \\
                 IV Numerical Tests / 303 \\
                 V Conclusions / 308 \\
                 \\
                 Spline Functions and Differential Equations --- First
                 Order Equations / I. J. Schoenberg / 311 \\
                 \\
                 I A Remark Due to C. Lanczos / 311 \\
                 II The Spline Approximations of Higher Degree / 313 \\
                 III The Construction of the Spline Approximation $S(x)$
                 / 314 \\
                 IV The Unique Existence of $S_n(x)$ and on Error
                 Estimate / 316 \\
                 V All Derivatives of $S(x)$ Approximate those of $y(x)$
                 / 320 \\
                 VI Examples / 321",
}

@Proceedings{Rice:1977:MSI,
  editor =       "John R. Rice",
  booktitle =    "{Mathematical software III: Proceedings of a symposium
                 conducted by the Mathematics Research Center, the
                 University of Wisconsin--Madison, March 28--30, 1977}",
  title =        "{Mathematical software III: Proceedings of a symposium
                 conducted by the Mathematics Research Center, the
                 University of Wisconsin--Madison, March 28--30, 1977}",
  number =       "39",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "ix + 388",
  year =         "1977",
  DOI =          "https://doi.org/10.1016/C2013-0-11364-5",
  ISBN =         "0-12-587260-7",
  ISBN-13 =      "978-0-12-587260-7",
  LCCN =         "QA3 .U45 no. 39; QA297 .M36 1977",
  bibdate =      "Fri Dec 08 08:24:52 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib;
                 https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/fparith.bib;
                 https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Misc/Bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/unix.bib",
  series =       "Publication of the Mathematics Research Center, the
                 University of Wisconsin, Madison",
  URL =          "https://www.sciencedirect.com/book/9780125872607/mathematical-software",
  acknowledgement = ack-nhfb,
  shorttableofcontents = "Contributors / / vii \\
                 Preface / / ix \\
                 Research, Development, and UNPACK / G. W. Stewart / 1
                 \\
                 A Technique that Gains Speed and Accuracy in the
                 Minimax Solution of Overdetermined Linear Equations /
                 M. J. Hopper and M. J. D. Powell / 15 \\
                 Infallible Calculation of Polynomial Zeros to Specified
                 Precision / G. E. Collins / 35 \\
                 Representation and Approximation of Surfaces / Robert
                 E. Barnhill / 69 \\
                 Simulation: Conflicts between Real-Time and Software /
                 C. W. Gear / 121 \\
                 Mathematical Software and Exploratory Data Analysis /
                 David C. Hoaglin / 139 \\
                 Software for $C^1$ Surface Interpolation / C. L. Lawson
                 / 161 \\
                 Mathematical Software Production / W. R. Cowell and L.
                 D. Fosdick / 195 \\
                 Computational Aspects of the Finite Element Method / I.
                 Babuska and W. Rheinboldt / 225 \\
                 The Art of Writing a Runge-Kutta Code, Part I / L. F.
                 Shampine and H. A. Watts / 257 \\
                 Multi-Level Adaptive Techniques (MLAT) for Partial
                 Differential Equations: Ideas and Software / Achi
                 Brandt / 277 \\
                 ELLPACK: A Research Tool for Elliptic Partial
                 Differential Equations Software / John R. Rice / 319
                 \\
                 A Realistic Model of Floating-Point Computation / W. S.
                 Brown / 343 \\
                 The Block Lanczos Method for Computing Eigenvalues / G.
                 H. Golub and R. Underwood / 361 \\
                 Index / / 379",
  tableofcontents = "Contributors \\
                 Preface \\
                 \\
                 1: Research, Development, and Linpack \\
                 Abstract \\
                 1. Introduction \\
                 2. Estimation of Condition Numbers \\
                 3. Stability of Least Squares Solutions \\
                 4. Scaling and Column Elimination \\
                 5. Downdating \\
                 6. Timing the BLAS \\
                 References \\
                 \\
                 2: A Technique That Gains Speed and Accuracy in the
                 Minimax Solution of Overdetermined Linear Equations \\
                 Abstract \\
                 1. Introduction \\
                 2. Numerical Instability in the Exchange Algorithm \\
                 3. The New Technique \\
                 4. Theory \\
                 5. Discussion \\
                 References \\
                 \\
                 3: Infallible Calculation Of Polynomial Zeros To
                 Specified Precision \\
                 Abstract \\
                 1. Introduction \\
                 2. Preliminaries \\
                 3. Sturm Sequences For Real Zeros \\
                 4. Sturm Sequences For Complex Zeros \\
                 5. Rolle's Theorem For Real Zeros \\
                 6. Descartes' Theorem For Real Zeros \\
                 7. Application of Interval Arithmetic \\
                 8. Complex Zeros Without Sturm Sequences \\
                 References \\
                 \\
                 4: Representation and Approximation of Surfaces \\
                 Abstract \\
                 1. Introduction \\
                 2. Interpolation Methods Defined Over Rectangles \\
                 3. Interpolation Schemes Defined Over Triangles \\
                 4. Interpolation Methods For Arbitrarily Placed Data 5.
                 Conclusions \\
                 References \\
                 Acknowledgements \\
                 \\
                 5: Simulation: Conflicts Between Real-Time And Software
                 \\
                 Abstract \\
                 1. Introduction \\
                 2. Simulation \\
                 3. Real-Time Operation \\
                 4. Numerical Integration in Real-Time \\
                 5. Errors in Numerical Integration \\
                 6. Methods For Reducing Delay and Improving Stability
                 \\
                 7. Conclusions \\
                 References \\
                 \\
                 6: Mathematical Software and Exploratory Data Analysis
                 \\
                 Abstract \\
                 1. Introduction \\
                 2. Overview of Exploratory Data Analysis \\
                 3. An Example: Timing Data \\
                 4. Software Needs of Exploratory Data Analysis \\
                 5. Summary \\
                 References \\
                 \\
                 7: Software For $C^1$ Surface Interpolation \\
                 1. Introduction \\
                 2. Problem Statement \\
                 3. Expected Applications \\
                 4. Published Work On Surface Interpolation To
                 Irregularly Located Data \\
                 5. Outline of the Algorithmic Approach Selected \\
                 6. Constructing a Triangular Grid \\
                 7. Estimating Partial Derivatives At the Grid Nodes \\
                 8. Lookup in the Triangular Grid \\
                 9. Interpolation in a Triangle \\
                 10. Examples \\
                 11. Three Criteria For Triangulation of a Strictly
                 Convex Quadrilateral \\
                 12. Global Consequences of the Local Optimization
                 Procedure \\
                 13. Mclain's Triangulation Method \\
                 14. Limits On Grid Changes When Adding a New Point \\
                 15. Conclusions \\
                 References \\
                 \\
                 8: Mathematical Software Production \\
                 Abstract \\
                 I. Introduction \\
                 II. The Evolution of Mathematical Software Production
                 \\
                 III. Intellectual Challenges \\
                 IV. Projects To Produce Mathematical Software \\
                 V. Trends in Mathematical Software Production \\
                 References \\
                 \\
                 9: Computational Aspects of the Finite Element Method
                 \\
                 1. Introduction \\
                 2. Goals of the Computational Analysis \\
                 3. The Principal Stages of the Computational Analysis
                 \\
                 4. Some Software Aspects \\
                 5. Some Computational Results \\
                 References",
}

@Proceedings{Glowinski:1982:CMA,
  editor =       "R. Glowinski and Jacques Louis Lions",
  booktitle =    "{Computing methods in applied sciences and
                 engineering, V: proceedings of the Fifth International
                 Symposium on Computing Methods in Applied Sciences and
                 Engineering, Versailles, France, December 14--18,
                 1981}",
  title =        "{Computing methods in applied sciences and
                 engineering, V: proceedings of the Fifth International
                 Symposium on Computing Methods in Applied Sciences and
                 Engineering, Versailles, France, December 14--18,
                 1981}",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "x + 668",
  year =         "1982",
  ISBN =         "0-444-86450-4",
  ISBN-13 =      "978-0-444-86450-5",
  LCCN =         "QA297 .E53 1981",
  bibdate =      "Fri Nov 11 07:52:56 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib1;
                 melvyl.cdlib.org:210/CDL90",
  acknowledgement = ack-nhfb,
  meetingname =  "International Symposium on Computing Methods in
                 Applied Sciences and Engineering (5th:1981 :
                 Versailles, France)",
  remark =       "Organized by Institut national de recherche en
                 informatique et en automatique. English or French.",
  subject =      "Numerical analysis; Data processing; Congresses;
                 Science; Data processing; Congresses; Engineering; Data
                 processing; Congresses",
}

@Proceedings{Feilmeier:1984:PCP,
  editor =       "M. Feilmeier and G. Joubert and U. Schendel",
  booktitle =    "Parallel Computing 83: Proceedings of the
                 International Conference on Parallel Computing",
  title =        "Parallel Computing 83: Proceedings of the
                 International Conference on Parallel Computing",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  year =         "1984",
  bibdate =      "Fri Jun 10 15:04:16 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Proceedings{Glowinski:1984:CMA,
  editor =       "R. Glowinski and J.-L. Lions",
  booktitle =    "Computing Methods in Applied Sciences and Engineering,
                 {VI}: Proceedings of the Sixth International Symposium
                 on Computing Methods in Applied Sciences and
                 Engineering, Versailles, France, December 12--16,
                 1983",
  title =        "Computing Methods in Applied Sciences and Engineering,
                 {VI}: Proceedings of the Sixth International Symposium
                 on Computing Methods in Applied Sciences and
                 Engineering, Versailles, France, December 12--16,
                 1983",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "xiii + 728",
  year =         "1984",
  ISBN =         "0-444-87597-2",
  ISBN-13 =      "978-0-444-87597-6",
  LCCN =         "QA297 .I57 1983",
  bibdate =      "Mon Jan 15 11:05:19 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
}

@Proceedings{Numrich:1985:SA,
  editor =       "Robert W. Numrich",
  booktitle =    "Supercomputer applications",
  title =        "Supercomputer applications",
  publisher =    pub-PLENUM,
  address =      pub-PLENUM:adr,
  pages =        "viii + 307",
  year =         "1985",
  ISBN =         "0-306-42013-9",
  ISBN-13 =      "978-0-306-42013-9",
  LCCN =         "QA76.5.S8944 1984a",
  bibdate =      "Fri Aug 30 08:01:51 MDT 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 University of California MELVYL catalog.",
  note =         "Proceedings of the Supercomputer Applications
                 Symposium cosponsored by the Purdue University
                 Computing Center, the Purdue Center for Parallel and
                 Vector Computing, and Control Data, held October
                 31--November 1, 1984, in West Lafayette, Indiana.",
  acknowledgement = ack-nhfb,
  annote =       "Published in Proceedings of the Supercomputer
                 Applications Symposium cosponsored by the Purdue
                 University Computing Center, the Purdue Center for
                 Parallel and Vector Computing, and Control Data, held
                 October 31-November 1, 1984, in West Lafayette,
                 Indiana.",
  keywords =     "CYBER 205 (Computer) --- Congresses; Supercomputer
                 systems --- Applications; Supercomputers ---
                 Congresses",
}

@Proceedings{Glowinski:1988:FIS,
  editor =       "Roland Glowinski and Gene H. Golub and G{\'e}rard
                 Meurant and Jacques P{\'e}riaux",
  booktitle =    "First International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations: Proceedings
                 of the First International Symposium on Domain
                 Decomposition Methods for Partial Differential
                 Equations, Ecole Nationale des Ponts et Chauss{\'e}es,
                 Paris, France, January 7--9, 1987",
  title =        "First International Symposium on Domain Decomposition
                 Methods for Partial Differential Equations: Proceedings
                 of the First International Symposium on Domain
                 Decomposition Methods for Partial Differential
                 Equations, Ecole Nationale des Ponts et Chauss{\'e}es,
                 Paris, France, January 7--9, 1987",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "x + 431",
  year =         "1988",
  ISBN =         "0-89871-220-3",
  ISBN-13 =      "978-0-89871-220-9",
  LCCN =         "QA402.2 .I571 1987",
  MRclass =      "65-06 (76-06)",
  MRnumber =     "89f:65005",
  bibdate =      "Sun Jan 14 09:19:15 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.jstor.org/stable/2008749",
  acknowledgement = ack-nhfb,
  remark =       "See review by J. H. B. in Mathematics of Computation,
                 Vol. 53, No. 188 (Oct., 1989), p. 775.",
}

@Proceedings{Cox:1990:RNC,
  editor =       "M. G. Cox and S. Hammarling",
  booktitle =    "Reliable numerical computation",
  title =        "Reliable numerical computation",
  publisher =    pub-OXFORD,
  address =      pub-OXFORD:adr,
  pages =        "xvi + 339",
  year =         "1990",
  ISBN =         "0-19-853564-3",
  ISBN-13 =      "978-0-19-853564-5",
  LCCN =         "QA297 .R435 1990",
  MRclass =      "65-06",
  MRnumber =     "91k:65011",
  bibdate =      "Fri Dec 20 18:34:52 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib",
  note =         "Based on papers from a conference in honour of the
                 late James Hardy Wilkinson (died Sunday 5th October
                 1986) held at National Physical Laboratory, Teddington,
                 Middlesex, UK, 8th--10th July 1987.",
  price =        "US\$75.00",
  abstract =     "Published to honor the late Jim Wilkinson, the
                 respected pioneer in numerical analysis, this book
                 includes contributions from his colleagues and
                 collaborators, leading experts in their own right. The
                 breadth of Wilkinson's research is reflected in the
                 topics covered, which include linear algebra, error
                 analysis and computer arithmetic algorithms, and
                 mathematical software. An invaluable reference, the
                 book is completely up-to-date with the latest
                 developments on the Lanczos algorithm,
                 QR-factorizations, error propagation models, parameter
                 estimation problems, sparse systems, and
                 shape-preserving splines. Reflecting the current growth
                 and vitality of this field, the volume is an essential
                 reference for all numerical analysts.",
  acknowledgement = ack-nhfb,
  tableofcontents = "List of contributors / / xv \\
                 Prologue. Reflections on Jim Wilkinson / Gene Golub / 1
                 \\
                 1. Misconvergence in the Lanczos algorithm / Beresford
                 Parlett / 7 \\
                 2. The Lanczos algorithm for a pure imaginary Hermitian
                 matrix / Charles L. Lawson and Kajal K. Gupta / 25 \\
                 3. Nearest defective matrices and the geometry of
                 ill-conditioning / James Demmel / 35 \\
                 4. Computational aspects of the Jordan canonical form /
                 Theo Beelen and Paul Van Dooren / 57 \\
                 5. Some aspects of generalized QR factorizations / C.
                 C. Paige / 73 \\
                 6. The multifrontal method in a parallel environment /
                 I. S. Duff, N. I. M. Gould, M. Lescrenier, and J. K.
                 Reid / 93 \\
                 7. A Schur-complement method for sparse quadratic
                 programming / Philip E. Gill, Walter Murray, Michael A.
                 Saunders, and Margaret H. Wright / 113 \\
                 8. A probabilistic round-off error propagation model.
                 Application to the eigenvalue problem / Fran{\c{c}}oise
                 Chatelin and Marie Christine Brunet / 139 \\
                 9. Analysis of the Cholesky decomposition of a
                 semi-definite matrix / Nicholas J. Higham / 161 \\
                 10. On the conditioning of parameter estimation
                 problems / James M. Varah / 187 \\
                 11. Rounding errors in algebraic process-in level-index
                 arithmetic / F. W J. Olver / 197 \\
                 12. Experiments in tearing large sparse systems / Mario
                 Arioli and lain S. Duff / 207 \\
                 13. The least-squares solution of linear equations with
                 block-angular observation matrix / M. G. Cox / 227 \\
                 14. An iterative method for solving linear inequalities
                 / G. W Stewart / 241 \\
                 15. Iterative refinement and reliable computing / Ake
                 Bjorck / 249 \\
                 16. Software for shape-preserving spline interpolation
                 / Christian H. Reinsch / 267 \\
                 17. Experiences with some software engineering
                 practices in numerical software / D. A. H. Jacobs and
                 G. Markham / 277 \\
                 18. Evolution of numerical software for dense linear
                 algebra / Jack Dongarra and Sven Hammarling / 297 \\
                 Epilogue. Jim Wilkinson: some after-dinner sentiments /
                 L. Fox / 329",
}

@Proceedings{Kaashoek:1990:PIS,
  editor =       "Marinus A. Kaashoek and Jan H. van Schuppen and
                 Andr{\'e} C. M. Ran",
  booktitle =    "{Proceedings of the International Symposium MTNS-89.
                 Realization and modelling in system theory. Amsterdam,
                 The Netherlands, June 19--23, 1989}",
  title =        "{Proceedings of the International Symposium MTNS-89.
                 Realization and modelling in system theory. Amsterdam,
                 The Netherlands, June 19--23, 1989}",
  volume =       "3--5",
  publisher =    pub-BIRKHAUSER-BOSTON,
  address =      pub-BIRKHAUSER-BOSTON:adr,
  pages =        "xxii + 593",
  year =         "1990",
  ISBN =         "0-8176-3469-X (vol 1), 0-8176-3470-3 (vol. 2),
                 0-8176-3471-1 (vol. 3), 0-8176-3468-1 (set)",
  ISBN-13 =      "978-0-8176-3469-8 (vol 1), 978-0-8176-3470-4 (vol. 2),
                 978-0-8176-3471-1 (vol. 3), 978-0-8176-3468-1 (set)",
  LCCN =         "QA402 .P766 1989",
  bibdate =      "Fri Nov 11 07:56:03 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 melvyl.cdlib.org:210/CDL90",
  series =       "Progress in systems and control theory",
  acknowledgement = ack-nhfb,
  meetingname =  "International Symposium on the Mathematical Theory of
                 Networks and Systems (9th:1989:Amsterdam,
                 Netherlands)",
  remark =       "The 1989 International Symposium on the Mathematical
                 Theory of Networks and Systems (MTNS) \ldots{} held in
                 Amsterdam, The Netherlands, June 19-23, 1989. Vol. 1.
                 Realization and modelling in system theory. Vol. 2.
                 Robust control of linear systems and nonlinear control.
                 Vol. 3. Signal processing, scattering and operator
                 theory, and numerical methods.",
  subject =      "System analysis; Congresses; Control theory;
                 Congresses",
}

@Book{Nash:1990:HSC,
  editor =       "Stephen G. Nash",
  booktitle =    "A History of Scientific Computing",
  title =        "A History of Scientific Computing",
  publisher =    pub-AW # " and " # pub-ACM,
  address =      pub-AW # " and " # pub-ACM:adr,
  pages =        "xix + 359",
  year =         "1990",
  ISBN =         "0-201-50814-1",
  ISBN-13 =      "978-0-201-50814-7",
  LCCN =         "QA76.17 .H59 1990",
  bibdate =      "Wed Dec 15 10:39:57 1993",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/f/fox-leslie.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;;
                 https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana1990.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "ACM Press history series",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022); Garrett Birkhoff (19 January 1911--22
                 November 1996); Magnus Rudolph Hestenes (13 February
                 1906--31 May 1991)",
  remark =       "Based on papers presented at the Conference on the
                 History of Scientific and Numeric Computation, held in
                 Princeton, NJ, 1987. A few brief mentions of Alston
                 Householder are indexed in the book, with photographs
                 of him on pages xvi and 344.",
  subject =      "Electronic data processing; History; Science; Data
                 processing",
  tableofcontents = "Remembrance of things past / Herman H. Goldstine /
                 5--16 \\
                 The contribution of J. H. Wilkinson to numerical
                 analysis / B. N. Parlett / 17--30 \\
                 The influence of George Forsythe and his students /
                 James Varah / 31--40 \\
                 Howard H. Aiken and the computer / I. Bernard Cohen /
                 41--52 \\
                 Particles in their self-consistent field: from
                 Hartree's differential analyzer to Cray machines /
                 Oscar Buneman / 57--62 \\
                 Fluid dynamics, reactor computations, and surface
                 representation / Garrett Birkhoff / 63--87 \\
                 The development of ODE methods: a symbiosis between
                 hardware and numerical analysis / C. W. Gear and R. D.
                 Skeel / 88--105 \\
                 A personal retrospection of reservoir simulation /
                 Donald W. Peaceman / 106--129 \\
                 How the FFT gained acceptance / James W. Cooley /
                 133--140 \\
                 Origins of the simplex method / George B. Dantzig /
                 141--151 \\
                 Historical comments on finite elements / J. Tinsley
                 Oden / 152--166 \\
                 Conjugacy and gradients / Magnus R. Hestenes / 167--179
                 \\
                 A historical review of iterative methods / David M.
                 Young / 180--194 \\
                 Shaping the evolution of numerical analysis in the
                 computer age: the SIAM thrust / I. Edward Block /
                 199--205 \\
                 Reminiscences on the University of Michigan summer
                 schools, the Gatlinburg Symposia, and Numerische
                 Mathematik / Richard S. Varga / 206--210 \\
                 The origin of mathematics of computation and some
                 personal recollections / Eugene Isaacson / 211--216 \\
                 Mathematical software and ACM publications / John R.
                 Rice / 217--227 \\
                 BIT --- a child of the computer / Carl-Erik Fr{\"o}berg
                 / 228--233 \\
                 The Los Alamos experience, 1943--1954 / N. Metropolis /
                 237--250 \\
                 The prehistory and early history of computation at the
                 U.S. National Bureau of Standards / John Todd /
                 251--268 \\
                 Programmed computing at the Universities of Cambridge
                 and Illinois in the early fifties / David J. Wheeler /
                 269--279 \\
                 Early numerical analysis in the United Kingdom / L. Fox
                 / 280--300 \\
                 The pioneer days of scientific computing in Switzerland
                 / Martin H. Gutknecht / 301--313 \\
                 The development of computational mathematics in
                 Czechoslovakia and the USSR / I. Babuska / 314--328 \\
                 The contribution of Leningrad mathematicians to the
                 development of numerical linear algebra, 1950--1986 /
                 V. N. Kublanovskaya / 329--338",
}

@Proceedings{Vaccaro:1991:SSP,
  editor =       "Richard J. Vaccaro",
  booktitle =    "SVD and Signal Processing, II. Algorithms, Analysis
                 and Applications",
  title =        "{SVD} and Signal Processing, {II}. Algorithms,
                 Analysis and Applications",
  publisher =    pub-ELSEVIER,
  address =      pub-ELSEVIER:adr,
  pages =        "xv + 512",
  year =         "1991",
  ISBN =         "0-444-88896-9",
  ISBN-13 =      "978-0-444-88896-9",
  LCCN =         "TK5102.5.S93 1991",
  bibdate =      "Fri Dec 20 18:20:33 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  acknowledgement = ack-nhfb,
  confdate =     "25--27 June 1990",
  conflocation = "Kingston, RI, USA",
  confsponsor =  "Coll. Eng. URI; IEEE; EURASIP; SIAM",
  pubcountry =   "Netherlands",
}

@Book{Hussaini:1993:ATC,
  editor =       "M. Y. Hussaini and A. Kumar and M. D. Salas",
  booktitle =    "Algorithmic Trends in Computational Fluid Dynamics",
  title =        "Algorithmic Trends in Computational Fluid Dynamics",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xvi + 423",
  year =         "1993",
  ISBN =         "0-387-94014-6 (New York), 3-540-94014-6 (Berlin)",
  ISBN-13 =      "978-0-387-94014-4 (New York), 978-3-540-94014-2
                 (Berlin)",
  LCCN =         "QA911 .A555 1993",
  bibdate =      "Fri Jun 10 19:00:59 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  series =       "ICASE/NASA LaRC Series",
  acknowledgement = ack-sf,
}

@Proceedings{Natori:1993:PPS,
  editor =       "Makoto Natori and T. Nodera",
  booktitle =    "{Parallel processing for scientific computing
                 (Yokohama, 1993)}",
  title =        "{Parallel processing for scientific computing
                 (Yokohama, 1993)}",
  volume =       "9",
  publisher =    "Keio University",
  address =      "Yokohama, Japan",
  pages =        "70",
  year =         "1993",
  LCCN =         "????",
  bibdate =      "Wed Jan 17 10:14:47 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
  series =       "Advances in numerical methods for large sparse sets of
                 linear equations",
  acknowledgement = ack-nhfb,
  xxISBN =       "none",
}

@Proceedings{Brown:1994:PCL,
  editor =       "J. David Brown and Moody T. Chu and Donald C. Ellison
                 and Robert J. Plemmons",
  booktitle =    "{Proceedings of the Cornelius Lanczos International
                 Centenary Conference, Raleigh, North Carolina, December
                 12--17, 1993}",
  title =        "{Proceedings of the Cornelius Lanczos International
                 Centenary Conference, Raleigh, North Carolina, December
                 12--17, 1993}",
  volume =       "73",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "lxv + 644",
  year =         "1994",
  ISBN =         "0-89871-339-0",
  ISBN-13 =      "978-0-89871-339-8",
  LCCN =         "QC19.2 .C67 1993",
  bibdate =      "Wed Jun 8 14:42:43 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/dirac-p-a-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/heisenberg-werner.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/einstein.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Proceedings in Applied Mathematics",
  acknowledgement = ack-nhfb,
  meetingname =  "Cornelius Lanczos International Centenary Conference
                 (1993:Raleigh, NC)",
  subject =      "Mathematical physics; Congresses; Astrophysics;
                 Mathematics; Lanczos, Cornelius; Physicists; Hungary;
                 Biography; Mathematicians",
  subject-dates = "1893--1974",
  tableofcontents = "The Life and Works of Cornelius Lanczos \\
                 \\
                 A Photographic Essay / / xvii \\
                 Cornelius Lanczos: A Biographical Essay / Barbara
                 Gellai / xxi \\
                 Cornelius Lanczos (1893-1974), and the Hungarian
                 Phenomenon in Science and Mathematics / Peter D. Lax /
                 xlix \\
                 The Roots of Cornelius Lanczos / George Marx / liii \\
                 Reminiscences of Cornelius Lanczos / Jon Todd / lviii
                 \\
                 Published Papers and Books of Cornelius Lanczos / / lx
                 \\
                 \\
                 Plenary Presentations: Computational Mathematics \\
                 \\
                 Lanczos and the FFT: A Discovery Before its Time /
                 James W. Cooley / 3 \\
                 Lanczos Algorithms for Large Scale Symmetric and
                 Nonsymmetric Matrix Eigenvalue Problems / Jane K.
                 Cullum / 11 \\
                 The Look-Ahead Lanczos Process for Nonsymmetric
                 Matrices and its Applications / Roland W Freund / 33
                 \\
                 The Lanczos and Conjugate Gradient Algorithms in Finite
                 Precision Arithmetic / Anne Greenbaum / 49 \\
                 The Lanczos Process and Pade Approximation / Martin H.
                 Gutknecht / 61 \\
                 The Tau Method and the Numerical Solution of
                 Differential Equations: Past Research and Recent
                 Research / Eduardo L. Ortiz / 77 \\
                 Krylov Subspace Processes, Krylov Subspace Methods, and
                 Iteration Polynomials / C. C. Paige / 83 \\
                 Do We Fully Understand the Symmetric Lanczos Algorithm
                 Yet? / Beresford N. Parlett / 93 \\
                 On Generalized Band Matrices and Their Inverses /
                 P{\'a}l R{\'o}sa, Francesco Romani, and Roberto
                 Bevilacqua / 109 \\
                 Theoretical Error Bounds and General Analysis of a Few
                 Lanczos-Type Algorithms / Youcef Saad / 123 \\
                 Lanczos and Linear Systems / G. W. Stewart / 135 \\
                 \\
                 Plenary Presentations: Theoretical Physics and
                 Astrophysics \\
                 \\
                 Integration on the Space of Connections Modulo Gauge
                 Transformations / Abbay Ashtekar, Donald Marolf, and
                 Jose Mourdo / 143 \\
                 Quasiclassical Domains in a Quantum Universe / James B.
                 Hartle / 161 \\
                 Gauge Invariant Energy-Momentum Tensor in Spinar
                 Electrodynamics / D. Petiot and Y. Takahashi / 173 \\
                 $\gamma$-Ray Bursts and Neutron Star Mergers / Tsvi
                 Piran / 187 \\
                 Lanczos's Early Contributions to Relativity and His
                 Relationship with Einstein / John Stachel / 201 \\
                 Topological Roots of Black Hole Entropy / Claudio
                 Teitelboim / 223 \\
                 Variational Principles, Local Symmetries, and Black
                 Hole Entropy / Robert M. Wald / 231 \\
                 \\
                 Mathematics Minisymposia \\
                 \\
                 Eigenvalue Computations: Theory and Algorithms / / 241
                 \\
                 Eigenvalue Computations: Applications / / 249 \\
                 Moments in Numerical Analysis / / 265 \\
                 Iterative Methods for Linear Systems / / 277 \\
                 Least Squares / / 301 \\
                 Software for Lanczos-based Algorithms / / 311 \\
                 Tau Method / / 335 \\
                 Chebyshev Polynomials / / 357 \\
                 Lanczos Methods in Control and Signal Processing / /
                 375 \\
                 Development of the FFT / / 393 \\
                 The FFT in Signal Processing / / 399 \\
                 Wavelets / / 411 \\
                 \\
                 Physics Minisymposia \\
                 \\
                 Computational Magnetohydrodynamics in Astrophysics / /
                 431 \\
                 Numerical Simulations of Collisionless Space Plasmas /
                 / 453 \\
                 Detection of Gravitational Radiation from Astrophysical
                 Sources / / 477 \\
                 Lanczos $H$-tensor / / 489 \\
                 Cosmic Censorship / / 513 \\
                 Cauchy Problem of General Relativity / / 527 \\
                 Black Hole Evaporation and Thermodynamics / / 543 \\
                 The Problem of Time in Quantum Gravity / / 555 \\
                 New Variables and Loop Quantization / / 571 \\
                 Decoherence and the Foundations of Quantum Mechanics /
                 / 589 \\
                 Open Questions in Particle Theory / / 603 \\
                 Supercollider Physics / / 621 \\
                 Symplectic Methods in Physics / / 633",
}

@Proceedings{IEEE:1995:PEW,
  editor =       "{IEEE}",
  booktitle =    "Proceedings: Euromicro Workshop on Parallel and
                 Distributed Processing, San Remo, Italy, January
                 25--27, 1995",
  title =        "Proceedings: Euromicro Workshop on Parallel and
                 Distributed Processing, San Remo, Italy, January
                 25--27, 1995",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "xiii + 582",
  year =         "1995",
  ISBN =         "0-8186-7031-2, 0-8186-7032-0",
  ISBN-13 =      "978-0-8186-7031-2, 978-0-8186-7032-9",
  LCCN =         "QA76.58 .E97 1995",
  bibdate =      "Wed Aug 14 09:02:28 MDT 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  series =       "Euromicro Workshop on Parallel and Distributed
                 Processing 1995; 3rd",
  acknowledgement = ack-nhfb,
  xxeditor1 =    "I. Martin and J. C. Fabero and F. Tirado and A.
                 Bautista",
  xxeditor2 =    "V. Gianuzzi and F. Merani",
}

@Proceedings{Moonen:1995:SSP,
  editor =       "Marc S. Moonen and Bart L. R. de Moor",
  booktitle =    "{SVD and signal processing III: algorithms,
                 architectures, and applications}",
  title =        "{SVD and signal processing III: algorithms,
                 architectures, and applications}",
  publisher =    pub-ELSEVIER,
  address =      pub-ELSEVIER:adr,
  bookpages =    "xi + 485",
  pages =        "xi + 485",
  year =         "1995",
  ISBN =         "0-444-82107-4",
  ISBN-13 =      "978-0-444-82107-2",
  LCCN =         "TK5102.9 .S83 1995",
  bibdate =      "Fri Jun 10 17:22:20 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  remark =       "Papers based on contributions presented at the 3rd
                 International Workshop on SVD and Signal Processing,
                 held in Leuven, August 22--25, 1994.",
  subject =      "Signal processing; Digital techniques; Congresses;
                 Decomposition (Mathematics)",
}

@Proceedings{ACM:1996:FCP,
  editor =       "{ACM}",
  booktitle =    "FCRC '96: Conference proceedings of the 1996
                 International Conference on Supercomputing:
                 Philadelphia, Pennsylvania, {USA}, May 25--28, 1996",
  title =        "{FCRC} '96: Conference proceedings of the 1996
                 International Conference on Supercomputing:
                 Philadelphia, Pennsylvania, {USA}, May 25--28, 1996",
  publisher =    pub-ACM,
  address =      pub-ACM:adr,
  pages =        "xii + 406",
  year =         "1996",
  ISBN =         "0-89791-803-7",
  ISBN-13 =      "978-0-89791-803-9",
  LCCN =         "QA76.5 I61 1996",
  bibdate =      "Wed Mar 18 12:33:29 MST 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "ACM order number 415961.",
  acknowledgement = ack-nhfb,
  keywords =     "Supercomputers --- Congresses.",
}

@Proceedings{Bode:1996:PVM,
  editor =       "Arndt Bode and J. Dongarra and T. Ludwig and V.
                 Sunderam",
  booktitle =    "Parallel virtual machine, {EuroPVM} '96: third
                 European {PVM} conference, Munich, Germany, October
                 7--9, 1996: proceedings",
  title =        "Parallel virtual machine, {EuroPVM} '96: third
                 European {PVM} conference, Munich, Germany, October
                 7--9, 1996: proceedings",
  volume =       "1156",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xiv + 362",
  year =         "1996",
  ISBN =         "3-540-61779-5",
  ISBN-13 =      "978-3-540-61779-2",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  LCCN =         "QA76.58 .E975 1996 Bar",
  bibdate =      "Sat Dec 21 16:06:37 MST 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  series =       ser-LNCS,
  acknowledgement = ack-nhfb,
  keywords =     "Parallel computers -- Congresses; Virtual computer
                 systems -- Congresses.",
}

@Proceedings{May:1996:CTA,
  editor =       "R. L. May and A. K. Easton",
  booktitle =    "{Computational techniques and applications, CTAC 95:
                 proceedings of the Seventh Biennial Conference,
                 Swinburne University of Technology, Melbourne,
                 Australia, 3-5 July, 1995}",
  title =        "{Computational techniques and applications, CTAC 95:
                 proceedings of the Seventh Biennial Conference,
                 Swinburne University of Technology, Melbourne,
                 Australia, 3-5 July, 1995}",
  publisher =    pub-WORLD-SCI,
  address =      pub-WORLD-SCI:adr,
  pages =        "xvii + 875",
  year =         "1996",
  ISBN =         "981-02-2820-1",
  ISBN-13 =      "978-981-02-2820-0",
  LCCN =         "QA299.6 .I56 1995",
  bibdate =      "Wed Mar 18 12:33:18 MST 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  series =       "COMPUTATIONAL TECHNIQUES AND APPLICATIONS 1995; 7th",
  acknowledgement = ack-nhfb,
}

@Proceedings{ACM:1997:SHP,
  editor =       "{ACM}",
  booktitle =    "{SC'97: High Performance Networking and Computing:
                 Proceedings of the 1997 ACM\slash IEEE SC97 Conference:
                 November 15--21, 1997, San Jose, California, USA}",
  title =        "{SC'97: High Performance Networking and Computing:
                 Proceedings of the 1997 ACM\slash IEEE SC97 Conference:
                 November 15--21, 1997, San Jose, California, USA}",
  publisher =    pub-ACM # " and " # pub-IEEE,
  address =      pub-ACM:adr # " and " # pub-IEEE:adr,
  pages =        "vii + 159",
  year =         "1997",
  ISBN =         "0-89791-985-8",
  ISBN-13 =      "978-0-89791-985-2",
  LCCN =         "QA76.88 .S8571 1997",
  bibdate =      "Sat Mar 21 09:10:00 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "ACM SIGARCH order number 415972. IEEE Computer Society
                 Press order number RS00160.",
  URL =          "http://www.supercomp.org/sc97/proceedings/",
  acknowledgement = ack-nhfb,
  xxnote =       "Check ISBN: UC/Melvyl has this one for ``Proceedings /
                 Second ACM Workshop on Role-Based Access Control,
                 Fairfax, Virginia, USA, November 6--7, 1997''.",
}

@Book{Brezinski:1997:PMS,
  author =       "Claude Brezinski",
  booktitle =    "Projection methods for systems of equations",
  title =        "Projection methods for systems of equations",
  volume =       "7",
  publisher =    "Elsevier Science",
  address =      "Amsterdam, The Netherlands",
  pages =        "vii + 400",
  year =         "1997",
  ISBN =         "0-444-82777-3",
  ISBN-13 =      "978-0-444-82777-7",
  LCCN =         "QA214 .B74 1997",
  bibdate =      "Fri Jun 10 17:39:08 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Studies in computational mathematics",
  URL =          "http://www.loc.gov/catdir/enhancements/fy0602/97043588-d.html;
                 http://www.loc.gov/catdir/enhancements/fy0602/97043588-t.html",
  acknowledgement = ack-nhfb,
  subject =      "Equations, Simultaneous; Numerical solutions;
                 Iterative methods (Mathematics)",
}

@Proceedings{Kuchlin:1997:IJM,
  editor =       "Wolfgang W. K{\"u}chlin",
  booktitle =    "{ISSAC 97: July 21--23, 1997, Maui, Hawaii, USA:
                 proceedings of the 1997 International Symposium on
                 Symbolic and Algebraic Computation}",
  title =        "{ISSAC 97: July 21--23, 1997, Maui, Hawaii, USA:
                 proceedings of the 1997 International Symposium on
                 Symbolic and Algebraic Computation}",
  publisher =    pub-ACM,
  address =      pub-ACM:adr,
  pages =        "xxii + 414",
  year =         "1997",
  ISBN =         "0-89791-875-4",
  ISBN-13 =      "978-0-89791-875-6",
  LCCN =         "QA76.95",
  bibdate =      "Sat Mar 23 12:41:32 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.acm.org/pubs/contents/proceedings/issac/258726/",
  acknowledgement = ack-nhfb,
}

@Proceedings{ACM:1998:SHP,
  editor =       "{ACM}",
  booktitle =    "SC'98: High Performance Networking and Computing:
                 Proceedings of the 1998 ACM\slash IEEE SC98 Conference:
                 Orange County Convention Center, Orlando, Florida, USA,
                 November 7--13, 1998",
  title =        "{SC}'98: High Performance Networking and Computing:
                 Proceedings of the 1998 {ACM}\slash {IEEE} {SC98}
                 Conference: Orange County Convention Center, Orlando,
                 Florida, {USA}, November 7--13, 1998",
  publisher =    pub-ACM # " and " # pub-IEEE,
  address =      pub-ACM:adr # " and " # pub-IEEE:adr,
  pages =        "????",
  year =         "1998",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Wed Oct 07 08:51:34 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  URL =          "http://www.supercomp.org/sc98/papers/",
  acknowledgement = ack-nhfb,
}

@Book{Davis:1998:CLC,
  author =       "William R. (William Robert) Davis and others",
  booktitle =    "{Cornelius Lanczos}, collected published papers with
                 commentaries, {Volumes I--VI}",
  title =        "{Cornelius Lanczos}, collected published papers with
                 commentaries, {Volumes I--VI}",
  publisher =    "College of Physical and Mathematical Sciences, North
                 Carolina State University",
  address =      "Raleigh, NC, USA",
  pages =        "xlvi + 3117",
  year =         "1998",
  ISBN =         "0-929493-00-1, 0-929493-01-X",
  ISBN-13 =      "978-0-929493-00-8, 978-0-929493-01-5",
  LCCN =         "QC19.3 .L35 1998",
  MRclass =      "01A75 (00A05 00A79 01A70)",
  MRnumber =     "1707325 (2000j:01121)",
  bibdate =      "Thu Jun 9 12:34:46 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "Six volumes. With a foreword by George Marx and a
                 biographical essay by Barbara Gellai, Translated by
                 J{\'o}zsef Illy, Laurent Choquet, Don Ridgeway and
                 Judith Konts{\'a}g Mesk{\'o}.",
  URL =          "http://catalog.hathitrust.org/Record/004015572",
  acknowledgement = ack-nhfb,
  author-dates = "1893--1974",
  language =     "English, German, French, and Hungarian",
  remark =       "This Collection has been published by North Carolina
                 State University in cooperation with the E{\"o}tv{\"o}s
                 Physical Society, Hungary.",
  subject =      "Mathematical physics; Physics; Mathematics; Lanczos,
                 Cornelius",
  subject-dates = "1893--1974",
}

@Proceedings{Csendes:1999:DRC,
  editor =       "Tibor Csendes",
  booktitle =    "{Developments in Reliable Computing: Papers presented
                 at the International Symposium on Scientific Computing,
                 Computer Arithmetic, and Validated Numerics, SCAN-98,
                 in Szeged, Hungary}",
  title =        "{Developments in Reliable Computing: Papers presented
                 at the International Symposium on Scientific Computing,
                 Computer Arithmetic, and Validated Numerics, SCAN-98,
                 in Szeged, Hungary}",
  volume =       "5(3)",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  pages =        "viii + 402",
  year =         "1999",
  ISBN =         "0-7923-6057-5",
  ISBN-13 =      "978-0-7923-6057-5",
  LCCN =         "QA76.9.E94 D48 1999",
  bibdate =      "Sat Nov 29 11:31:21 2003",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  series =       j-RELIABLE-COMPUTING,
  acknowledgement = ack-nhfb,
  tableofcontents = "Rigorous Global Search: Industrial Applications /
                 G. F. Corliss, R. B. Kearfott. \\
                 Influences of Rounding Errors in Solving Large Sparse
                 Linear Systems / A. Facius. \\
                 A Hardware Approach to Interval Arithmetic for Sine and
                 Cosine Functions / J. Hormigo, et al. \\
                 Towards an Optimal Control of the Wrapping Effect / W.
                 K{\"u}hn. \\
                 On Existence and Uniqueness of Solutions of Linear
                 Algebraic Equations in Kaucher's Interval Arithmetic /
                 A. V. Lakeyev. \\
                 A Comparison of Subdivision Strategies for Verified
                 Multi-Dimensional Gaussian Quadrature / B. Lang. \\
                 INTLAB - INTerval LABoratory / S. M. Rump. \\
                 Verified Calculation of the Solution of Algebraic
                 Riccati Equation / W. Luther, W. Otten. \\
                 Expression Concepts in Scientific Computing / M. Lerch.
                 \\
                 Performance Evaluation Technique STU and libavi Library
                 / R. Sagula, et al. \\
                 Single-Number Interval I/O / M. Schulte, et al. \\
                 Interval Analysis for Embedded Systems / K. Musch, G.
                 Schumacher. \\
                 Prediction by Extrapolation for Interval Tightening
                 Methods / Y. Lebbah, O. Lhomme. \\
                 The Contribution of T. Sunaga to Interval Analysis and
                 Reliable Computing / S. Markov, K. Okumura. \\
                 Surface-to-Surface Intersection with Complete and
                 Guaranteed Results / E. Hubert, W. Barth. \\
                 An Algorithm that Computes a Lower Bound on the
                 Distance Between a Segment and Z2 / V. Lef{\`e}vre. \\
                 Verified Computation of Fast Decreasing Polynomials /
                 N. S. Dimitrova, S. M. Markov. \\
                 An Accurate Distance-Calculation Algorithm for Convex
                 Polyhedra / E. Dyllong, et al. \\
                 Verified Error Bounds for Linear Systems through the
                 Lanczos Process / A. Frommer, A. Weinberg. \\
                 A Representation of the Interval Hull of a Tolerance
                 Polyhedron Describing Inclusions of Function Values and
                 Slopes / G. Heindl. \\
                 A Few Results on Table-Based Methods / J.-M. Muller.
                 \\
                 An Interval Hermite-Obreschkoff Method for Computing
                 Rigorous Bounds on the Solution of an Initial Value
                 Problem for an Ordinary Differential Equation / N. S.
                 Nedialkov, K. R. Jackson. \\
                 The Interval-Enhanced GNU Fortran Compiler / M.
                 Schulte, et al. \\
                 Outer Estimation of Generalized Solution Sets to
                 Interval Linear Systems / S. P. Shary. \\
                 A Real Polynomial Decision Algorithm Using
                 Arbitrary-Precision Floating Point Arithmetic / A.
                 Strzebonski. \\
                 A Numerical Verification Method of Solutions for the
                 Navier--Stokes Equations / Y. Watanabe, et al. \\
                 Convex Sets of Full Rank Matrices / B. Kolodziejczak,
                 T. Szulc. \\
                 Multiaspect Interval Types / M. Lerch, J. W. von
                 Gudenberg. \\
                 MATLAB-Based Analysis of Roundoff Noise / R. Dunay, I.
                 Kollar. \\
                 SCAN-98 Collected Bibliography / G. F. Corliss",
}

@Proceedings{Frommer:2000:NCL,
  editor =       "Andreas Frommer and others",
  booktitle =    "{Numerical challenges in lattice quantum
                 chromodynamics: joint interdisciplinary workshop of
                 John von Neumann Institute for Computing, J{\"u}lich,
                 and Institute of Applied Computer Science, Wuppertal
                 University, August 1999}",
  title =        "{Numerical challenges in lattice quantum
                 chromodynamics: joint interdisciplinary workshop of
                 John von Neumann Institute for Computing, J{\"u}lich,
                 and Institute of Applied Computer Science, Wuppertal
                 University, August 1999}",
  volume =       "15",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "viii + 184",
  year =         "2000",
  ISBN =         "3-540-67732-1",
  ISBN-13 =      "978-3-540-67732-1",
  ISSN =         "1439-7358",
  LCCN =         "QC793.3.G38 N86 2000",
  bibdate =      "Tue Feb 05 09:39:44 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/dirac-p-a-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  series =       ser-LNCSE,
  acknowledgement = ack-nhfb,
  keywords =     "Lattice gauge theories--Mathematical
                 models--Congresses; Quantum
                 chromodynamics--Mathematical models--Congresses",
}

@Book{Lide:2001:CEM,
  editor =       "D. R. Lide",
  booktitle =    "A Century of Excellence in Measurements, Standards,
                 and Technology: {A} Chronicle of Selected {NBS\slash
                 NIST} Publications, 1901--2000",
  title =        "A Century of Excellence in Measurements, Standards,
                 and Technology: {A} Chronicle of Selected {NBS\slash
                 NIST} Publications, 1901--2000",
  volume =       "958",
  publisher =    pub-NTIS,
  address =      pub-NTIS:adr,
  pages =        "ix + 386",
  year =         "2001",
  bibdate =      "Wed Oct 25 15:09:56 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stiefel-eduard.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "NIST Special Publication",
  URL =          "https://nvlpubs.nist.gov/nistpubs/sp958-lide/cntsp958old.htm",
  acknowledgement = ack-nhfb,
  subject-dates = "Magnus Rudolph Hestenes (13 February 1906--31 May
                 1991)",
  tableofcontents = "Introduction / David R. Lide / 002 \\
                 The Absolute Measurement of Inductance / A-M. Jeffrey,
                 N. B. Belecki, and J. F. Mayo-Wells / 005 \\
                 Determination of the Constants of Total Radiation From
                 a Black Body / Albert C. Parr / 007 \\
                 The Testing of Thermal Insulators / Robert R. Zarr /
                 010 \\
                 Precipitation Hardening of Metal Alloys / Sam Coriell /
                 014 \\
                 Construction and Operation of a Simple Homemade Radio
                 Receiving Outfit / Brian Belanger / 016 \\
                 Methods for Standardizing and Testing Precision Gage
                 Blocks / Ted Doiron / 019 \\
                 Recommended Minimum Requirements for Small Dwelling
                 Construction / Joel P. Zingeser / 022 \\
                 Visibility of Radiant Energy / Jonathan E. Hardis / 025
                 \\
                 Test of the Severity of Building Fires / David Evans,
                 Daniel Gross, and Richard Wright / 028 \\
                 Calculation of Compounds in Portland Cements / Geoffrey
                 Frohnsdorff / 033 \\
                 Development of the Visual-Type Airway Radio-Beacon
                 System / Hans J. Oser / 038 \\
                 A Hydrogen Isotope of Mass 2 / Walter J. Hamer and H.
                 Steffen Peiser / 043 \\
                 Air Flow and Turbulence in Boundary Layers / Norman A.
                 Mease and James E. Potzick / 046 \\
                 Thermodynamic Properties of Water and Steam for Power
                 Generation / Allan H. Harvey and Johanna M. H. Levelt
                 Sengers / 049 \\
                 Absolute Pressure Calibrations of Microphones / Victor
                 Nedzelnitsky / 053 \\
                 Absolute Determination of the Ampere / E. R. Williams,
                 R. E. Elmquist, N. B. Belecki, and J. F. Mayo-Wells /
                 056 \\
                 Radio Proximity Fuzes / John W. Lyons, E. A. Brown, and
                 B. Fonoroff / 059 \\
                 Stability of Double-Walled Manganin Resistors / R.
                 Dziuba, N. B. Belecki, and J. F. Mayo-Wells / 063 \\
                 Manufacture of Paper for War Maps and Other
                 Applications / William K. Wilson / 066 \\
                 Transmission of Sound Waves in Gases at Low Pressures /
                 Thomas M. Proctor / 069 \\
                 Atomic Energy Levels and Other Spectroscopic Data /
                 Wolfgang L. Wiese / 073 \\
                 Iteration Method for the Solution of the Eigenvalue
                 Problem of Linear Differential and Integral Operators /
                 Dianne P. O'Leary / 077 \\
                 Methods of Conjugate Gradients for Solving Linear
                 Systems / Dianne P. O'Leary / 081 \\
                 Computer Development at the National Bureau of
                 Standards / Russell A. Kirsch / 086 \\
                 Thermal Converters as AC--DC Transfer Standards for
                 Current and Voltage Measurements at Audio Frequencies /
                 J. R. Kinard, Jr., N. B. Belecki, and J. F. Mayo-Wells
                 / 090 \\
                 Selected Values of Chemical Thermodynamic Properties /
                 David R. Lide / 093 \\
                 Applied Inorganic Analysis / Charles M. Beck II / 097
                 \\
                 The Diamond Anvil Pressure Cell / Gasper Piermarini and
                 Stanley Block / 100 \\
                 Polymer Crystallization With Folded Chains / Freddy
                 Khoury, John Hoffman, and Tom Davis / 104 \\
                 Cryogenic Engineering / Richard H. Kropschot / 107 \\
                 Reversal of the Parity Conservation Law in Nuclear
                 Physics / Ralph P. Hudson / 111 \\
                 Effects of Configuration Interaction on Intensities and
                 Phase Shifts / Charles W. Clark / 116 \\
                 Electromagnetic Waves in Stratified Media / D. A. Hill
                 / 120 \\
                 ``Second Breakdown'' in Transistors / Harry A. Schafft
                 / 123 \\
                 Stress Relaxation With Finite Strain / Elliot Kearsley
                 and Barry Bernstein / 126 \\
                 Realistic Evaluation of the Precision and Accuracy of
                 Instrument Calibration Systems / M. Carroll Croarkin /
                 129 \\
                 Experimental Statistics / M. Carroll Croarkin / 132 \\
                 Handbook of Mathematical Functions / Ronald F. Boisvert
                 and Daniel W. Lozier / 135 \\
                 Paths, Trees, and Flowers / Christoph Witzgall, Ronald
                 Boisvert, Geraldine Cheok, Saul Gass, Alan Goldman, and
                 James Lawrence / 140 \\
                 Concepts, Terminology, and Notation for Optical
                 Modulation / Calvin S. McCamy / 145 \\
                 Theory of Light Scattering in Fluids / Raymond D.
                 Mountain / 149 \\
                 Scaling Analysis of Thermodynamic Properties in the
                 Critical Region of Fluids / Raymond D. Mountain / 152
                 \\
                 Resonance Tunneling of Field Emitted Electrons Through
                 Adsorbates on Metal Surfaces / J. W. Gadzuk / 155 \\
                 Quantitative Electron Probe Microanalysis / Dale E.
                 Newbury / 160 \\
                 Limits for Qualitative Detection and Quantitative
                 Determination / Richard M. Lindstrom / 164 \\
                 Traceability: An Evolving Concept / Brian Belanger,
                 Stanley Rasberry, Ernest Garner, Carroll Brickencamp,
                 and Charles Ehrlich / 167 \\
                 Code for Information Interchange / Martha M. Gray / 172
                 \\
                 Consumer Information Series / Walter G. Leight and W.
                 Reeves Tilley / 174 \\
                 Theory of Isoperibol Calorimetry for Laser Power and
                 Energy Measurement / Thomas R. Scott / 178 \\
                 Influence of Water on Crack Growth in Glass / Edwin
                 Fuller, William Luecke, and Stephen Freiman / 181 \\
                 Phase Equilibria Diagrams / Ronald Munro, Howard
                 McMurdie, Helen Ondik, and Terrell Vanderah / 184 \\
                 Determination of Reduced Cells in Crystallography /
                 Alan D. Mighell, Vicky Lynn Karen, and Ronald Munro /
                 188 \\
                 Speed of Light From Direct Frequency and Wavelength
                 Measurements / Donald B. Sullivan / 191 \\
                 Connecting Visible Wavelength Standards With X Rays and
                 {gamma}Rays / Richard D. Deslattes / 194 \\
                 Laser Cooling of Atoms / D. B. Sullivan / 200 \\
                 Spin-Polarized Electrons / Daniel T. Pierce and Robert
                 J. Celotta / 203 \\
                 Needs for Radioactivity Standards and Measurements in
                 Different Fields / Bert Coursey / 209 \\
                 The Topografiner: An Instrument for Measuring Surface
                 Microtopography / J. S. Villarurubia, R. D. Young, F.
                 Scire, E. C. Teague, and J. W. Gadzuk / 214 \\
                 Electron-Stimulated Desorption / Ted Madey and John
                 Yates / 219 \\
                 Photochemistry of Small Molecules / James R. McNesby
                 and Ralph Klein / 224 \\
                 Role of Standard Reference Materials in Measurement
                 Systems / Thomas E. Gills / 227 \\
                 Metrology and Standardization to Assist Industrializing
                 Economies / Lewis M. Branscomb / 230 \\
                 Publications Taking Us Toward a Metric America / Ralph
                 A. Richter / 234 \\
                 A New Approach to Manipulator Control: The Cerebellar
                 Model Articulation Controller / James S. Albus / 237
                 \\
                 Three Dimensional Metrology / Ted Doiron / 241 \\
                 Initial Graphics Exchange Specifications / Sharon K.
                 Kemmerer / 246 \\
                 Data Encryption Standard / William E. Burr / 250 \\
                 OMNIDATA and the Computerization of Scientific Data /
                 John R. Rumble, Jr. / 254 \\
                 FORTRAN Test Programs / John Cugini / 258 \\
                 Design and Evaluation Criteria for Energy Conservation
                 in New Buildings / Jim L. Heldenbrand / 260 \\
                 Computer Program for Heating and Cooling Loads in
                 Buildings / George Walton / 266 \\
                 Methods for Testing and Rating the Performance of
                 Heating and Air Conditioning Systems / James E. Hill /
                 270 \\
                 System for Fire Safety Evaluation of Health Care
                 Facilities / Harold Nelson / 275 \\
                 Estimation of Rate of Heat Release by Means of Oxygen
                 Consumption Measurements / Kenneth D. Steckler / 280
                 \\
                 Probability-Based Load Criteria for Structural Design /
                 Bruce R. Ellingwood / 283 \\
                 Resistivity-Dopant Density Relationship for
                 Phosphorus-Doped Silicon / W. R. Thurber / 289 \\
                 Critical Data for Critical Needs / John R. Rumble, Jr.
                 / 291 \\
                 Materials at Low Temperatures / Fred Fickett / 294 \\
                 Optical Fiber Characterization / D. L. Franzen / 297
                 \\
                 Quasicrystals / Ronald Munro, Frank Gale, and Carol
                 Handwerker / 300 \\
                 Protein Crystallography by Joint X-Ray and Neutron
                 Diffraction / Norman F. Berk / 303 \\
                 Strain Effects in Superconducting Compounds / J. W.
                 Ekin / 306 \\
                 Dental Research at the National Bureau of Standards /
                 John Tesk and Ronald Munro / 309 \\
                 Handbook for Standard Reference Materials Users /
                 Thomas E. Gills / 313 \\
                 A Practical Josephson Voltage Standard at One Volt / Y.
                 Tang, N. B. Belecki, and J. F. Mayo-Wells / 315 \\
                 Plane-Wave Scattering-Matrix Theory of Antennas and
                 Antenna-Antenna Interactions / A. G. Repjar and J. F.
                 Mayo-Wells / 319 \\
                 The Automated Manufacturing Research Facility / James
                 S. Albus / 322 \\
                 Submicrometer Linewidth Metrology / Michael T. Postek
                 and Robert D. Larrabee / 328 \\
                 Observation of Atoms Laser-Cooled Below the Doppler
                 Limit / Steven Rolston / 331 \\
                 Laser-Excited Hot-Electron Induced Desorption / J. W.
                 Gadzuk / 334 \\
                 Measurement of the Universal Gas Constant Using an
                 Acoustic Resonator / Michael R. Moldover / 339 \\
                 Thermal and Oxidative Degradation of Polymers / Takashi
                 Kashiwagi / 344 \\
                 HAZARD I: Software for Fire Hazard Assessment / Richard
                 Bukowski / 347 \\
                 Analysis of the Catastrophic Rupture of a Pressure
                 Vessel / Tom Siewert / 350 \\
                 Curing Those Uncontrollable Fits of Interaction / Don
                 Libes / 353 \\
                 Baldrige Criteria for Performance Excellence / Curt
                 Reimann and Debbie Smyth / 357 \\
                 The Advanced Technology Program / Robert Sienkiewicz
                 and Richard N. Spivack / 359 \\
                 NIST Manufacturing Extension Partnership / Anita
                 O'Brien / 363 \\
                 Questions and Answers on Quality / Maureen Breitenberg
                 / 366 \\
                 Uniformity in Weights and Measures Laws and Regulations
                 / Joan Koenig / 368 \\
                 Certification of 10 $\mu$m Diameter Polystyrene Spheres
                 (``Space Beads'') / Tom Lettieri / 371 \\
                 Bose--Einstein Condensation in a Dilute Atomic Vapor /
                 James Faller / 375 \\
                 Index / David R. Lide / 379",
}

@Book{Braun:2002:EV,
  editor =       "Simon (Simon G.) Braun and D. J. Ewins and S. S. Rao",
  booktitle =    "Encyclopedia of vibration",
  title =        "Encyclopedia of vibration",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xxviii + 1595",
  year =         "2002",
  ISBN =         "0-12-227085-1 (set), 0-12-227086-X (volume 1),
                 0-12-227087-8 (volume 2), 0-12-227088-6 (volume 3)",
  ISBN-13 =      "978-0-12-227085-7 (set), 978-0-12-227086-4 (volume 1),
                 978-0-12-227087-1 (volume 2), 978-0-12-227088-8 (volume
                 3)",
  LCCN =         "TA355 .E52 2002",
  bibdate =      "Fri Jun 10 17:31:07 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "Three volumes.",
  URL =          "(E-STREAMS);
                 http://www.e-streams.com/es0504/es0504\_1818.htm;
                 http://www.loc.gov/catdir/description/els031/2001092782.html;
                 http://www.loc.gov/catdir/toc/els051/2001092782.html",
  acknowledgement = ack-nhfb,
  subject =      "Vibration; Encyclopedias",
}

@Proceedings{Kauers:2005:IJB,
  editor =       "Manuel Kauers",
  booktitle =    "{ISSAC '05: July 24--27, 2005, Beijing, China:
                 Proceedings of the 2005 International Symposium on
                 Symbolic and Algebraic Computation}",
  title =        "{ISSAC '05: July 24--27, 2005, Beijing, China:
                 Proceedings of the 2005 International Symposium on
                 Symbolic and Algebraic Computation}",
  publisher =    pub-ACM,
  address =      pub-ACM:adr,
  pages =        "xiv + 374",
  year =         "2005",
  ISBN =         "1-59593-095-7",
  ISBN-13 =      "978-1-59593-095-8",
  LCCN =         "QA76.95 .I59 2005",
  bibdate =      "Fri Oct 21 07:01:24 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  note =         "ACM Order Number 505050.",
  acknowledgement = ack-nhfb,
}

@Book{Chan:2007:MMC,
  editor =       "Raymond H. Chan and Chen Greif and Dianne P. O'Leary",
  booktitle =    "Milestones in Matrix Computation: the Selected Works
                 of {Gene H. Golub} with Commentaries",
  title =        "Milestones in Matrix Computation: the Selected Works
                 of {Gene H. Golub} with Commentaries",
  publisher =    pub-OXFORD,
  address =      pub-OXFORD:adr,
  pages =        "xi + 565 + 3",
  year =         "2007",
  ISBN =         "0-19-920681-3",
  ISBN-13 =      "978-0-19-920681-0",
  LCCN =         "QA188 .G67 2007",
  MRclass =      "65-06 (01A75 65Fxx)",
  MRnumber =     "MR2281939 (2008b:65004)",
  MRreviewer =   "David Scott Watkins",
  bibdate =      "Sat Apr 07 10:23:33 2007",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib;
                 https://www.math.utah.edu/pub/tex/bib/technometrics1970.bib",
  URL =          "http://www.loc.gov/catdir/enhancements/fy0737/2007276086-d.html",
  abstract =     "The text presents and discusses some of the most
                 influential papers in Matrix Computation authored by
                 Gene H. Golub, one of the founding fathers of the
                 field. The collection of 21 papers in divided into five
                 main areas: iterative methods for linear systems,
                 solution of least squares problems, matrix
                 factorizations and applications, orthogonal polynomials
                 and quadrature, and eigenvalue problems an commentaries
                 for each area are provided by leading experts: Anne
                 Greenbaum, {\AA}ke Bj{\"o}rck, Nicholas Higham, Walter
                 Gautschi, and G. W. (Pete) Stewart. Comments on each
                 paper are also provided by the original authors,
                 providing the reader with historical information on how
                 the paper came to be written and under what
                 circumstances the collaboration was undertaken.
                 Including a brief biography and facsimiles of the
                 original papers, this text will be of great interest to
                 students and researchers in numerical analysis and
                 scientific computation.",
  acknowledgement = ack-nhfb,
  tableofcontents = "List of Plates / x \\
                 I: Gene H. Golub \\
                 1 Gene H. Golub Biography, by Chen Greif / 3 \\
                 2 Publications of Gene H. Golub / 13 \\
                 3 Major Awards / 30 \\
                 4 Students of Gene H. Golub / 32 \\
                 II: Iterative Methods for Linear Systems \\
                 5 Commentary, by Anne Greenbaum / 35 \\
                 References / 43 \\
                 6 Chebyshev semi-iterative methods, successive
                 over-relaxation iterative methods, and second-order
                 Richardson iterative methods, Parts I and II (with R.
                 S. Varga) / 45 \\
                 7 A generalized conjugate gradient method for
                 non-symmetric systems of linear equations (with Paul
                 Concus) / 68 \\
                 8 A generalized conjugate gradient method for the
                 numerical solution of elliptic partial differential
                 equations (with Paul Concus and Dianne P. O'Leary) / 79
                 \\
                 9 Hermitian and Skew-Hermitian Splitting Methods for
                 Non-Hermitian Positive Definite Linear Systems (with
                 Zhong-Zhi Bai and Michael K. Ng) / 102 \\
                 III: Solution of Least Squares Problems \\
                 10 Commentary, by {\AA}ke Bj{\"o}rck / 129 \\
                 References / 141 \\
                 11 Numerical methods for solving linear least squares
                 problems / 148 \\
                 12 Singular value decomposition and least squares
                 solutions (with C. Reinsch) / 160 \\
                 13 The differentiation of pseudo-inverses and
                 non-linear least squares problems whose variables
                 separate (with V. Pereyra) / 181 \\
                 14 Generalized cross-validation as a method for
                 choosing a good ridge parameter (with M. Heath and G.
                 Wahba) / 202 \\
                 15 An analysis of the total least squares problem (with
                 C. Van Loan) / 213 \\
                 IV: Matrix Factorizations and Applications \\
                 16 Commentary, by Nicholas Higham / 227 \\
                 References / 233 \\
                 17 Calculating the singular values and pseudo-inverse
                 of a matrix (with W. Kahan) / 236 \\
                 18 The simplex method of linear programming using $ L U
                 $ decomposition (with R. H. Bartels) / 257 \\
                 19 On direct methods for solving Poisson's equation
                 (with B. L. Buzbee and C. W. Nielson) / 261 \\
                 20 Numerical methods for computing angles between
                 linear subspaces (with {\AA}. Bj{\"o}rck) / 292 \\
                 21 Methods for modifying matrix factorizations (with P.
                 E. Gill, W. Murray and M. A. Saunders) / 309 \\
                 V: Orthogonal Polynomials and Quadrature \\
                 22 Commentary, by Walter Gautschi / 345 \\
                 References / 354 \\
                 23 Calculation of Gauss quadrature rules (with J. H.
                 Welsch) / 359 \\
                 24 Matrices, moments, and quadrature (with G{\'e}rard
                 Meurant) / 380 \\
                 25 Computation of Gauss--Kronrod Quadrature Rules (with
                 D. Calvetti, W. B. Gragg and L. Reichel) / 434 \\
                 VI: Eigenvalue Problems \\
                 26 Commentary, by G. W. Stewart / 457 \\
                 References / 465 \\
                 27 Some modified matrix eigenvalue problems / 467 \\
                 28 Ill-conditioned eigensystems and the computation of
                 the Jordan canonical form (with J. H. Wilkinson) / 485
                 \\
                 29 The block Lanczos method for computing eigenvalues
                 (with R. Underwood) / 528 \\
                 30 The numerically stable reconstruction of a Jacobi
                 matrix from spectral data (with C. de Boor) / 546 Index
                 / 563",
}

@Book{Hogben:2007:HLA,
  editor =       "Leslie Hogben",
  booktitle =    "Handbook of Linear Algebra",
  title =        "Handbook of Linear Algebra",
  publisher =    pub-CHAPMAN-HALL-CRC,
  address =      pub-CHAPMAN-HALL-CRC:adr,
  pages =        "xxx + 1370",
  year =         "2007",
  ISBN =         "1-58488-510-6 (hardcover), 1-4200-1057-3 (e-book)",
  ISBN-13 =      "978-1-58488-510-8 (hardcover), 978-1-4200-1057-2
                 (e-book)",
  LCCN =         "QA184.2 .H36 2007",
  MRclass =      "15-00 (00A20)",
  MRnumber =     "2279160 (2007j:15001)",
  bibdate =      "Fri Nov 21 06:49:56 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib;
                 https://www.math.utah.edu/pub/tex/bib/maple-extract.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "Associate editors: Richard Brualdi, Anne Greenbaum and
                 Roy Mathias.",
  series =       "Discrete Mathematics and its Applications (Boca
                 Raton)",
  URL =          "http://www.crcnetbase.com/isbn/9781420010572;
                 http://www.crcnetbase.com/isbn/9781584885108;
                 http://www.loc.gov/catdir/enhancements/fy0647/2006045491-d.html",
  abstract =     "\booktitle{Handbook of Linear Algebra} covers all
                 aspects of linear algebra, including fundamentals,
                 numerical linear algebra, software packages for
                 computation in linear algebra, and various
                 applications, such as quantum computing, control
                 theory, image compression, and computational biology.
                 The author addresses combinatorial Matrix theory and
                 features Matrix notation throughout the text. The book
                 includes a chapter on software that provides extensive
                 coverage of MATLAB, Maple, and Mathematica and contains
                 details of Fortran subroutines available for linear
                 algebra such as LAPACK and ARPACK. Rather than
                 presenting long mathematical proofs, the text provides
                 numerous references for additional information.",
  acknowledgement = ack-nhfb # " and " # ack-rah,
  keywords =     "Maple",
  remark =       "Associate editors: Richard Brualdi, Anne Greenbaum,
                 and Roy Mathias.",
  subject =      "Algebras, Linear",
  tableofcontents = "Preliminaries \\
                 I. Linear algebra \\
                 1: Vectors, matrices and systems of linear equations /
                 Jane Day \\
                 2: Linear independence, span, and bases / Mark Mills
                 \\
                 3: Linear transformations / Francesco Barioli \\
                 4: Determinants and eigenvalues / Luz M. DeAlba \\
                 5: Inner product spaces, orthogonal projection, least
                 squares and singular value decomposition / Lixing Han
                 and Michael Neumann \\
                 6: Canonical forms / Leslie Hogben \\
                 7: Unitary similarity, normal matrices, and spectral
                 theory / Helene Shapiro \\
                 8: Hermitian and positive definite matrices / Wayne
                 Barrett \\
                 9: Nonnegative and stochastic matrices / Uriel G.
                 Rothblum \\
                 10: Partitioned matrices / Robert Reams \\
                 11: Functions of matrices / Nicholas J. Higham \\
                 12: Quadratic, bilinear and sesquilinear forms /
                 Raphael Lowey \\
                 13: Multilinear algebra / J. A. Dias de Silva and
                 Armando Machado \\
                 14: Matrix equalities and inequalities / Michael
                 Tsatsomeros \\
                 15: Matrix perturbation theory / Ren-Cang Li \\
                 16: Pseudospectra / Mark Embree \\
                 17: Singular values and singular value inequalities /
                 Roy Mathias \\
                 18: Numerical range / Chi-Kwong Li \\
                 19: Matrix stability and inertia / Daniel Hershkowitz
                 \\
                 20: Inverse eigenvalue problems / Alberto Borobia \\
                 21: Totally positive and totally negative matrices /
                 Shaun M. Fallat \\
                 22: Linear preserver problems / Peter \v Semrl \\
                 23: Matrices over integral domains / Shmuel Friedland
                 \\
                 24: Similarities of families of matrices / Shmuel
                 Friedland \\
                 25: Max-plus algebra / Marianne Akian, Ravindra Bapat,
                 St{\'e}phane Gaubert \\
                 26: Matrices leaving a cone invariant / Bit-Shun Tam
                 and Hans Schneider \\
                 II. Combinatorial matrix theory and graphs \\
                 27: Combinatorial matrix theory / Richard A. Brualdi
                 \\
                 28: Matrices and graphs / Willem H. Haemers \\
                 29: Digraphs and matrices / Jeffrey L. Stuart \\
                 30: Bipartite graphs and matrices / Bryan L. Shader \\
                 31: Permanents / Ian M. Wanless \\
                 32: D-optimal designs / Michael G. Neubauer and William
                 Watkins \\
                 33: Sign pattern matrices / Frank J. Hall and Zhongshan
                 Li \\
                 34: Multiplicity lists for the eigenvalues of symmetric
                 matrices with a given graph / Charles R. Johnson,
                 Ant{\'o}nio Leal Duarte, and Carlos M. Saiago \\
                 35: Matrix completion problems / Leslie Hogben and Amy
                 Wangsness \\
                 36: Algebraic connectivity / Steve Kirkland \\
                 III. Numerical methods \\
                 37: Vector and matrix norms, error analysis, efficiency
                 and stability / Ralph Byers and Biswa Nath Datta \\
                 38: Matrix factorizations, and direct solution of
                 linear systems / Christopher Beattie \\
                 39: Least squares solution of linear systems / Per
                 Christian Hansen and Hans Bruun Nielsen \\
                 40: Sparse matrix methods / Esmond G. Ng \\
                 41: Iterative solution methods for linear systems /
                 Anne Greenbaum \\
                 42: Symmetric matrix eigenvalue techniques / Ivan
                 Slapni\v car \\
                 43: Unsymmetric matrix eigenvalue techniques / David S.
                 Watkins \\
                 44: The implicitly restarted Arnoldi method / D. C.
                 Sorensen \\
                 45: Computation of the singular value decomposition /
                 Alan Kaylor Cline and Inderjit S. Dhillon \\
                 46: Computing eigenvalues and singular values to high
                 relative accuracy / Zlatko Drma{\v{c}} \\
                 47: Fast matrix multiplication / Dario A. Bini \\
                 48: Structured matrix computations / Michael Ng \\
                 49: Large-scale matrix computations / Roland W. Freund
                 \\
                 IV. Applications \\
                 50: Linear programming / Leonid S. Vaserstein \\
                 51: Semidefinite programming / Henry Wolkowicz \\
                 52: Random vectors and linear statistical models / Simo
                 Puntanen and George P. H. Styan \\
                 53: Multivariate statistical analysis / Simo Puntanen,
                 George A. F. Seber, and George P. H. Styan \\
                 54: Markov chains / Beatrice Meini \\
                 55: Differential equations and stability / Volker
                 Mehrmann and Tatjana Stykel \\
                 56: Dynamical systems and linear algebra / Fritz
                 Colonius and Wolfgang Kliemann \\
                 57: Control theory / Peter Benner \\
                 58: Fourier analysis / Kenneth Howell \\
                 59: Linear algebra and mathematical physics / Lorenzo
                 Sadun \\
                 60: Linear algebra in biomolecular modeling / Zhijun Wu
                 \\
                 61: Coding theory / Joachim Rosenthal and Paul Weiner
                 \\
                 62: Quantum computation / Zijian Diao \\
                 63: Information retrieval and web search / Amy
                 Langville and Carl Meyer \\
                 64: Signal processing / Michael Stewart \\
                 65: Geometry / Mark Hunacek \\
                 66: Some applications of matrices and graphs in
                 Euclidean geometry / Miroslav Fiedler \\
                 67: Matrix groups / Peter J. Cameron \\
                 68: Group representations / Randall Holmes and T. Y.
                 Tam \\
                 69: Nonassociative algebras / Murray R. Bremner, Lucia
                 I. Muakami and Ivan P. Shestakov \\
                 70: Lie algebras / Robert Wilson \\
                 V. Computational software \\
                 71: METLAB / Steven J. Leon \\
                 72: Linear algebra in Maple / David J. Jeffrey and
                 Robert M. Corless \\
                 73: Mathematica / Heikki Ruskeep{\"a}{\"a} \\
                 74: BLAS / Jack Dongarra, Victor Eijkhout, and Julien
                 Langou \\
                 75: LAPACK / Zhaojun Bai \\
                 76: Use of ARPACK and EIGS / D. C. Sorensen \\
                 77: Summary of Software for Linear Algebra Freely
                 Available on the Web / Jack Dongarra, Victor Eijkhout,
                 Julien Langou \\
                 G-1: Glossary \\
                 H-1: Notation Index",
}

@Proceedings{Simos:2007:CMS,
  editor =       "Theodore E. Simos and George Maroulis",
  booktitle =    "{Computation in Modern Science and Engineering:
                 Proceedings of the [Fifth] International Conference on
                 Computational Methods in Science and Engineering 2007
                 (ICCMSE 2007), Corfu, Greece, 25--30 September 2007}",
  title =        "{Computation in Modern Science and Engineering:
                 Proceedings of the [Fifth] International Conference on
                 Computational Methods in Science and Engineering 2007
                 (ICCMSE 2007), Corfu, Greece, 25--30 September 2007}",
  volume =       "2A, 2B",
  publisher =    pub-AIP,
  address =      pub-AIP:adr,
  bookpages =    "xxvi + 730 + 10 (vol. 2A)",
  pages =        "xxvi + 730 + 10 (vol. 2A)",
  year =         "2007",
  ISBN =         "0-7354-0476-3 (set), 0-7354-0477-1 (vol. 1),
                 0-7354-0478-X (vol. 2)",
  ISBN-13 =      "978-0-7354-0476-2 (set), 978-0-7354-0477-9 (vol. 1),
                 978-0-7354-0478-6 (vol. 2)",
  ISSN =         "0094-243X (print), 1551-7616 (electronic), 1935-0465",
  LCCN =         "Q183.9 .I524 2007",
  bibdate =      "Thu Feb 21 14:15:15 2008",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib",
  series =       "AIP Conference Proceedings (\#963)",
  URL =          "http://www.springer.com/physics/atoms/book/978-0-7354-0478-6",
  abstract =     "All papers have been peer-reviewed. The aim of ICCMSE
                 2007 is to bring together computational scientists and
                 engineers from several disciplines in order to share
                 methods, methodologies and ideas. The potential readers
                 of these proceedings are all the scientists with
                 interest in the following fields: Computational
                 Mathematics, Theoretical Physics, Computational
                 Physics, Theoretical Chemistry, Computational
                 Chemistry, Mathematical Chemistry, Computational
                 Engineering, Computational Mechanics, Computational
                 Biology and Medicine, Scientific Computation, High
                 Performance Computing, Parallel and Distributed
                 Computing, Visualization, Problem Solving Environments,
                 Software Tools, Advanced Numerical Algorithms, Modeling
                 and Simulation of Complex Systems, Web-based Simulation
                 and Computing, Grid-based Simulation and Computing,
                 Computational Grids, and Computer Science.",
  acknowledgement = ack-nhfb,
  remark =       "Two volumes.",
}

@Book{Olver:2010:NHM,
  editor =       "Frank W. J. Olver and Daniel W. Lozier and Ronald F.
                 Boisvert and Charles W. Clark",
  key =          "NIST",
  booktitle =    "{NIST} Handbook of Mathematical Functions",
  title =        "{NIST} Handbook of Mathematical Functions",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "xv + 951",
  year =         "2010",
  ISBN =         "0-521-19225-0",
  ISBN-13 =      "978-0-521-19225-5",
  LCCN =         "QA331 .N57 2010",
  bibdate =      "Sat May 15 09:08:09 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcw.bib",
  price =        "US\$99.00",
  URL =          "http://dlmf.nist.gov/;
                 http://www.cambridge.org/9780521140638",
  acknowledgement = ack-nhfb,
  remark =       "Includes a DVD with a searchable PDF of each
                 chapter.",
  tableofcontents = "1. Algebraic and analytic methods [Ranjan Roy,
                 Frank W. J. Olver, Richard A. Askey and Roderick S. C.
                 Wong] \\
                 2. Asymptotic approximations [Frank W. J. Olver and
                 Roderick S. C. Wong] \\
                 3. Numerical methods [Nico M. Temme] \\
                 4. Elementary functions [Ranjan Roy and Frank W. J.
                 Olver] \\
                 5. Gamma function [Richard A. Askey and Ranjan Roy] \\
                 6. Exponential, logarithmic, sine and cosine integrals
                 [Nico M. Temme] \\
                 7. Error functions, Dawson's and Fresnel integrals
                 [Nico M. Temme] \\
                 8. Incomplete gamma and related functions [Richard B.
                 Paris] \\
                 9. Airy and related functions [Frank W. J. Olver] \\
                 10. Bessel functions [Frank W. J. Olver and Leonard C.
                 Maximon] \\
                 11. Struve and related functions [Richard B. Paris] \\
                 12. Parabolic cylinder functions [Nico M. Temme] \\
                 13. Confluent hypergeometric functions [Adri B. Olde
                 Daalhuis] \\
                 14. Legendre and related functions [T. Mark Dunster]
                 \\
                 15. Hypergeometric function [Adri B. Olde Daalhuis] \\
                 16. Generalized hypergeometric functions and Meijer
                 G-function [Richard A. Askey and Adri B. Olde Daalhuis]
                 \\
                 17. q-Hypergeometric and related functions [George E.
                 Andrews] \\
                 18. Orthogonal polynomials [Tom H. Koornwinder,
                 Roderick S. C. Wong, Roelof Koekoek and Rene F.
                 Swarttouw] \\
                 19. Elliptic integrals [Bille C. Carlson] \\
                 20. Theta functions [William P. Reinhardt and Peter L.
                 Walker] \\
                 21. Multidimensional theta functions [Bernard
                 Deconinck] \\
                 22. Jacobian elliptic functions [William P. Reinhardt
                 and Peter L. Walker] \\
                 23. Weierstrass elliptic and modular functions [William
                 P. Reinhardt and Peter L. Walker] \\
                 24. Bernoulli and Euler polynomials [Karl Dilcher] \\
                 25. Zeta and related functions [Tom M. Apostol] \\
                 26. Combinatorial analysis [David M. Bressoud] \\
                 27. Functions of number theory [Tom M. Apostol] \\
                 28. Mathieu functions and Hill's equation [Gerhard
                 Wolf] \\
                 29. Lam{\'e} functions [Hans Volkmer] \\
                 30. Spheroidal wave functions [Hans Volkmer] \\
                 31. Heun functions [Brian D. Sleeman and Vadim
                 Kuznetsov] \\
                 32. Painlev{\'e} transcendents [Peter A. Clarkson] \\
                 33. Coulomb functions [Ian J. Thompson] \\
                 34. 3j, 6j, 9j symbols [Leonard C. Maximon] \\
                 35. Functions of matrix argument [Donald St. P.
                 Richards] \\
                 36. Integrals with coalescing saddles [Michael V. Berry
                 and Chris Howls]",
}

@Book{Baaz:2011:KGF,
  editor =       "Matthias Baaz and Christos H. Papadimitriou and Hilary
                 W. Putnam and Dana S. Scott and Charles L. {Harper,
                 Jr.}",
  booktitle =    "{Kurt G{\"o}del} and the Foundations of Mathematics:
                 Horizons of Truth",
  title =        "{Kurt G{\"o}del} and the Foundations of Mathematics:
                 Horizons of Truth",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "xxiv + 515",
  year =         "2011",
  ISBN =         "0-521-76144-1 (print), 0-511-97423-X (e-book)",
  ISBN-13 =      "978-0-521-76144-4 (print), 978-0-511-97423-6
                 (e-book)",
  LCCN =         "QA9.65 .K87 2011",
  bibdate =      "Tue Sep 20 17:52:18 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gamow-george.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/tex/bib/einstein.bib;
                 z3950.loc.gov:7090/Voyager",
  abstract =     "This volume commemorates the life, work, and
                 foundational views of Kurt G{\"o}del (1906-1978), most
                 famous for his hallmark works on the completeness of
                 first-order logic, the incompleteness of number theory,
                 and the consistency --- with the other widely accepted
                 axioms of set theory --- of the axiom of choice and of
                 the generalized continuum hypothesis. It explores
                 current research, advances, and ideas for future
                 directions not only in the foundations of mathematics
                 and logic, but also in the fields of computer science,
                 artificial intelligence, physics, cosmology,
                 philosophy, theology, and the history of science. The
                 discussion is supplemented by personal reflections from
                 several scholars who knew G{\"o}del personally,
                 providing some interesting insights into his life. By
                 putting his ideas and life's work into the context of
                 current thinking and perceptions, this book will extend
                 the impact of G{\"o}del's fundamental work in
                 mathematics, logic, philosophy, and other disciplines
                 for future generations of researchers.",
  acknowledgement = ack-nhfb,
  subject =      "G{\"o}del's theorem; Mathematics; Philosophy;
                 G{\"o}del, Kurt",
  tableofcontents = "Part I. Historical Context --- G{\"o}del's
                 Contributions and Accomplishments: \\
                 1. The impact of G{\"o}del's incompleteness theorems on
                 mathematics / Angus Macintyre \\
                 2. Logical hygiene, foundations, and abstractions:
                 diversity among aspects and options / Georg Kreisel \\
                 3. The reception of G{\"o}del's 1931 incompletabilty
                 theorems by mathematicians, and some logicians, to the
                 early 1960s / Ivor Grattan-Guinness \\
                 4. 'Dozent G{\"o}del will not lecture' / Karl Sigmund
                 \\
                 5. G{\"o}del's thesis: an appreciation / Juliette C.
                 Kennedy \\
                 6. Lieber Herr Bernays!, Lieber Herr G{\"o}del!
                 G{\"o}del on finitism, constructivity, and Hilbert's
                 program / Solomon Feferman \\
                 7. Computation and intractability: echoes of Kurt
                 G{\"o}del / Christos H. Papadimitriou \\
                 8. From the entscheidungsproblem to the personal
                 computer --- and beyond / B. Jack Copeland \\
                 9. G{\"o}del, Einstein, Mach, Gamow, and Lanczos:
                 G{\"o}del's remarkable excursion into cosmology /
                 Wolfgang Rindler \\
                 10. Physical unknowables // Karl Svozil \\
                 Part II. A Wider Vision --- The Interdisciplinary,
                 Philosophical, And Theological Implications of
                 G{\"o}del's Work: \\
                 11. G{\"o}del and physics / John D. Barrow \\
                 12. G{\"o}del, Thomas Aquinas, and the unknowability of
                 God / Denys A. Turner \\
                 13. G{\"o}del's mathematics of philosophy / Piergiorgio
                 Odifreddi \\
                 14. G{\"o}del's ontological proof and its variants /
                 Petr H{\'a}jek \\
                 15. The G{\"o}del theorem and human nature / Hilary
                 Putnam \\
                 16. G{\"o}del, the mind, and the laws of physics /
                 Roger Penrose \\
                 Part III. New Frontiers --- Beyond G{\"o}del's Work in
                 Mathematics and Symbolic Logic: \\
                 17. G{\"o}del's functional interpretation and its use
                 in current mathematics / Ulrich Kohlenbach \\
                 18. My forty years on his shoulders / Harvey M.
                 Friedman \\
                 19. My interaction with Kurt G{\"o}del: the man and his
                 work / Paul J. Cohen \\
                 20. The transfinite universe / W. Hugh Woodin \\
                 21. The G{\"o}del phenomena in mathematics: a modern
                 view / Avi Wigderson",
}

@Book{Saad:2011:NML,
  author =       "Youcef Saad",
  booktitle =    "Numerical Methods for Large Eigenvalue Problems",
  title =        "Numerical Methods for Large Eigenvalue Problems",
  volume =       "66",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  edition =      "Second",
  pages =        "xv + 276",
  year =         "2011",
  ISBN =         "1-61197-072-5",
  ISBN-13 =      "978-1-61197-072-2",
  LCCN =         "QA188 .S18 2011",
  bibdate =      "Fri Jun 10 21:37:06 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  series =       "Classics in applied mathematics",
  URL =          "http://www.cs.umn.edu/~saad/eig_book_2ndEd.pdf",
  acknowledgement = ack-nhfb,
  subject =      "Nonsymmetric matrices; Eigenvalues",
}