%%% -*-BibTeX-*-
%%% ====================================================================
%%%  BibTeX-file{
%%%     author          = "Nelson H. F. Beebe",
%%%     version         = "1.23",
%%%     date            = "08 August 2024",
%%%     time            = "06:42:06 MDT",
%%%     filename        = "stewart-gilbert-w.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        = "01664 10231 45604 477331",
%%%     email           = "beebe at math.utah.edu, beebe at acm.org,
%%%                        beebe at computer.org (Internet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "bibliography; BibTeX; Gilbert Wright `Pete'
%%%                        Stewart III; numerical analysis",
%%%     license         = "public domain",
%%%     supported       = "yes",
%%%     docstring       = "This is an almost-complete bibliography of
%%%                        works by, and about, the influential
%%%                        numerical analyst, Gilbert Wright (``Pete'')
%%%                        Stewart III, Professor Emeritus of the
%%%                        Department of Computer Science, University of
%%%                        Maryland.  The generational suffix III was no
%%%                        longer used in publications after the early
%%%                        1970s.
%%%
%%%                        Professor Stewart's personal Web site
%%%                        is at
%%%
%%%                            http://www.cs.umd.edu/~stewart/
%%%
%%%                        with a related site at
%%%
%%%                            http://legacydirs.umiacs.umd.edu/~stewart/
%%%
%%%                        At version 1.23, the year coverage looked
%%%                        like this:
%%%
%%%                             1967 (   2)    1984 (  10)    2001 (   5)
%%%                             1968 (   2)    1985 (   4)    2002 (   4)
%%%                             1969 (   9)    1986 (  10)    2003 (   4)
%%%                             1970 (   5)    1987 (   9)    2004 (   3)
%%%                             1971 (   6)    1988 (   7)    2005 (   3)
%%%                             1972 (   4)    1989 (   6)    2006 (   2)
%%%                             1973 (   5)    1990 (  14)    2007 (   0)
%%%                             1974 (   6)    1991 (  15)    2008 (   2)
%%%                             1975 (   5)    1992 (   6)    2009 (   3)
%%%                             1976 (  12)    1993 (  15)    2010 (   5)
%%%                             1977 (   5)    1994 (  15)    2011 (   3)
%%%                             1978 (   5)    1995 (  10)    2012 (   1)
%%%                             1979 (  10)    1996 (   3)    2013 (   1)
%%%                             1980 (   3)    1997 (  12)    2014 (   0)
%%%                             1981 (   6)    1998 (  13)    2015 (   1)
%%%                             1982 (   2)    1999 (   5)    2016 (   2)
%%%                             1983 (   4)    2000 (   4)
%%%
%%%                             Article:        170
%%%                             Book:            11
%%%                             InCollection:     8
%%%                             InProceedings:   26
%%%                             Misc:             1
%%%                             PhdThesis:        1
%%%                             Proceedings:     32
%%%                             TechReport:      37
%%%                             Unpublished:      2
%%%
%%%                             Total entries:  288
%%%
%%%                        Entries in this bibliography have been
%%%                        derived mainly from bibliographies in the
%%%                        BibNet Project and TeX User Group
%%%                        bibliography archives, from the ACM Portal,
%%%                        AMS MathSciNet, EMS zbMATH, and IEEE eXplore
%%%                        databases, and from the University of
%%%                        Maryland Institute for Advanced Computer
%%%                        Studies (UMIACS) publication list at
%%%
%%%                            http://www.umiacs.umd.edu/publications/export/bibtex
%%%
%%%                        Additional data, including the tables of
%%%                        contents of most of the edited books and
%%%                        proceedings recorded here, have been obtained
%%%                        from numerous library catalog searches.
%%%
%%%                        Digital Object Identifier (DOI) or Uniform
%%%                        Resource Locator (URL) values have been found
%%%                        and recorded for about half of the journal
%%%                        articles.
%%%
%%%                        All of the books, reports, and papers in the
%%%                        Stewart publication list in the Selected
%%%                        Works volume (entry Kilmer:2010:GWS) are
%%%                        included here, and cross-referenced to that
%%%                        list by a GWS-number key/value pair.  That
%%%                        list records 1 technical report, 121 journal
%%%                        articles, 8 books, and 37 conference papers:
%%%                        167 in all.  At version 1.00 of this
%%%                        bibliography, Part 1 (Stewart's publications)
%%%                        contained 229 entries, of which 166 have
%%%                        GWS-number values, and Part 3
%%%                        (cross-referenced publications) has 1
%%%                        GWS-number value.
%%%
%%%                        Numerous errors in the sources noted above
%%%                        have been corrected.  Spelling has been
%%%                        verified with the UNIX spell and GNU ispell
%%%                        programs using the exception dictionary
%%%                        stored in the companion file with extension
%%%                        .sok.
%%%
%%%                        BibTeX citation tags are uniformly chosen
%%%                        as name:year:abbrev, where name is the
%%%                        family name of the first author or editor,
%%%                        year is a 4-digit number, and abbrev is a
%%%                        3-letter condensation of important title
%%%                        words. Citation tags were automatically
%%%                        generated by software developed for the
%%%                        BibNet Project.
%%%
%%%                        In this bibliography, entries are sorted
%%%                        first by ascending year, and within each
%%%                        year, alphabetically by author or editor,
%%%                        and then, if necessary, by the 3-letter
%%%                        abbreviation at the end of the BibTeX
%%%                        citation tag, using the bibsort -byyear
%%%                        utility.  Cross-referenced proceedings
%%%                        entries appear at the end, because of a
%%%                        restriction in the current BibTeX.
%%%
%%%                        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{"\input bibnames.sty "
  # "\input path.sty "
  # "\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi"
  # "\ifx \undefined \ocirc     \def \ocirc #1{{\accent'27#1}}\fi"
  # "\ifx \undefined \r         \let \r = \ocirc \fi"
}

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

@String{ack-do   = "Dianne O'Leary,
                    Department of Computer Science,
                    University of Maryland,
                    College Park, MD, USA,
                    email: \path|[email protected]|"}

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

@String{inst-IMA                = "Institute for Mathematics and Its
                                  Applications, University of Minnesota"}
@String{inst-IMA                = "Institute for Mathematics and its
                                   Applications, University of Minnesota"}
@String{inst-IMA:adr            = "Minneapolis, MN, USA"}

@String{inst-LASL               = "Los Alamos Scientific Laboratory"}
@String{inst-LASL:adr           = "Los Alamos, NM, USA"}

@String{inst-MATHWORKS          = "The MathWorks, Inc."}
@String{inst-MATHWORKS:adr      = "3 Apple Hill Drive, Natick, MA 01760-2098,
                                  USA"}

@String{inst-ORNL               = "Oak Ridge National Laboratory"}
@String{inst-ORNL:adr           = "Knoxville, TN, USA"}

@String{inst-STANFORD-CS        = "Department of Computer Science,
                                  Stanford University"}
@String{inst-STANFORD-CS:adr    = "Stanford, CA"}

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

@String{inst-U-TEXAS-AUSTIN     = "University of Texas at Austin"}
@String{inst-U-TEXAS-AUSTIN:adr = "Austin, TX, USA"}

@String{inst-UMIACS             = "Institute for Advanced Computer Studies,
                                  University of Maryland"}
@String{inst-UMIACS:adr         = "College Park, MD, USA"}

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

@String{j-ACM                   = "J. Assoc. Comput. Mach."}

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

@String{j-ANN-HIST-COMPUT       = "Annals of the History of Computing"}

@String{j-APPL-NUM-MATH         = "Applied Numerical Mathematics: Transactions
                                  of IMACS"}

@String{j-BIT                   = "BIT (Nordisk tidskrift for
                                  informationsbehandling)"}

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

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

@String{j-CACM                  = "Communications of the Association
                                  for Computing Machinery"}

@String{j-COMPUT-GRAPH-STAT     = "Journal of Computational and Graphical
                                  Statistics"}

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

@String{j-COMPUT-SCI-ENG        = "Computing in Science and Engineering"}

@String{j-CPE                   = "Concurrency: Prac\-tice and Experience"}

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

@String{j-FORTRAN-FORUM         = "ACM Fortran Forum"}

@String{j-IEEE-TRANS-COMPUT     = "IEEE Transactions on Computers"}

@String{j-IEEE-TRANS-INSTRUM-MEAS = "IEEE Transactions on Instrumentation and Measurement"}

@String{j-IEEE-TRANS-SIG-PROC   = "IEEE Transactions on Signal Processing"}

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

@String{j-ISIS                  = "Isis"}

@String{j-J-ACM                 = "Journal of the Association for Computing
                                  Machinery"}

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

@String{j-J-COMPUT-GRAPH-STAT   = "Journal of Computational and Graphical
                                  Statistics"}

@String{j-J-COMPUT-PHYS         = "Journal of Computational Physics"}

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

@String{j-J-SUPERCOMPUTING      = "The Journal of Supercomputing"}

@String{j-LECT-NOTES-COMP-SCI   = "Lecture Notes in Computer Science"}

@String{j-LECT-NOTES-MATH       =   "Lecture Notes in Mathematics"}

@String{j-LINEAR-ALGEBRA-APPL   = "Linear Algebra and Its Applications"}

@String{j-MATH-COMPUT           = "Mathematics of Computation"}

@String{j-MATH-PROG             = "Mathematical Programming"}

@String{j-NA-DIGEST             = "NA Digest"}

@String{j-NUM-LIN-ALG-APPL      = "Numerical Linear Algebra with Applications"}

@String{j-NUM-MATH              = "Numerische Mathematik"}

@String{j-NUMER-ALGORITHMS      = "Numerical Algorithms"}

@String{j-PARALLEL-COMPUTING    = "Parallel Computing"}

@String{j-SIAM-J-APPL-MATH      = "SIAM Journal on Applied Mathematics"}

@String{j-SIAM-J-MAT-ANA-APPL   = "SIAM Journal on Matrix Analysis and
                                  Applications"}

@String{j-SIAM-J-NUMER-ANAL     = "SIAM Journal on Numerical Analysis"}

@String{j-SIAM-J-SCI-COMP       = "SIAM Journal on Scientific Computing"}

@String{j-SIAM-J-SCI-STAT-COMP  = "SIAM Journal on Scientific and
                                  Statistical Computing"}

@String{j-SIAM-NEWS             = "SIAM News"}

@String{j-SIAM-REVIEW           = "SIAM Review"}

@String{j-SIGNUM                = "ACM SIGNUM Newsletter"}

@String{j-STAT-SCI              = "Statistical Science"}

@String{j-STOCH-MODELS          = "Stochastic Models"}

@String{j-TEX-TUG-NEWS          = "{\TeX} and TUG News"}

@String{j-TOMS                  = "ACM Transactions on Mathematical
                                  Software"}

%%% ====================================================================
%%% Publishers and their addresses:

@String{pub-ACADEMIC            = "Academic Press Inc."}
@String{pub-ACADEMIC:adr        = "New York, NY, USA"}

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

@String{pub-AMS                 = "American Mathematical Society"}
@String{pub-AMS:adr             = "Providence, RI, USA"}

@String{pub-AW                  = "Ad{\-d}i{\-s}on-Wes{\-l}ey"}
@String{pub-AW:adr              = "Reading, MA, USA"}

@String{pub-BIRKHAUSER          = "Birkh{\"{a}}user"}
@String{pub-BIRKHAUSER:adr      = "Cambridge, MA, USA; Berlin, Germany; Basel,
                                  Switzerland"}

@String{pub-DEKKER              = "Marcel Dekker, Inc."}
@String{pub-DEKKER:adr          = "New York, NY, USA"}

@String{pub-ELSEVIER            = "Elsevier"}
@String{pub-ELSEVIER:adr        = "Amsterdam, The Netherlands"}

@String{pub-ESP                 = "Elsevier Science Publishers B.V."}
@String{pub-ESP:adr             = "Amsterdam, The Netherlands"}

@String{pub-IEEE                = "IEEE Computer Society Press"}
@String{pub-IEEE:adr            = "1109 Spring Street, Suite 300,
                                  Silver Spring, MD 20910, USA"}

@String{pub-KLUWER              = "Kluwer Academic Publishers Group"}
@String{pub-KLUWER:adr          = "Norwell, MA, USA, and Dordrecht,
                                  The Netherlands"}

@String{pub-LONGMAN             = "Longman Scientific and Technical"}
@String{pub-LONGMAN:adr         = "Harlow, Essex"}

@String{pub-NORTH-HOLLAND       = "North-Holland Publishing Co."}
@String{pub-NORTH-HOLLAND:adr   = "Amsterdam, The Netherlands"}

@String{pub-OXFORD               = "Oxford University Press"}
@String{pub-OXFORD:adr          = "Oxford, UK"}

@String{pub-PH                  = "Pren{\-}tice-Hall"}
@String{pub-PH:adr              = "Englewood Cliffs, NJ 07632, USA"}

@String{pub-PHYSICA-VERLAG      = "Physica-Verlag"}
@String{pub-PHYSICA-VERLAG:adr  = "Vienna, Austria; Heidelberg, Germany"}

@String{pub-SIAM                = "SIAM (Society for Industrial and Applied
                                  Mathematics)"}
@String{pub-SIAM:adr            = "Philadelphia, PA, USA"}

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

@String{pub-SPRINGER            = "Spring{\-}er-Ver{\-}lag"}
@String{pub-SPRINGER:adr-NY     = "New York"}

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

@String{pub-WILEY-INTERSCIENCE  = "Wiley-In{\-}ter{\-}sci{\-}ence"}
@String{pub-WILEY-INTERSCIENCE:adr = "New York, NY, USA"}

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

@String{ser-LECT-NOTES-MATH     = "Lecture Notes in Mathematics"}

%%% ====================================================================
%%%            Part 1 (of 2) --- G. W. Stewart and his works
%%%
%%% Bibliography entries, sorted by year, and then by citation label,
%%% with ``bibsort -byyear'':

%%% TO DO:
%%%
%%% Find this cited, but possibly unpublished, paper:
%%%
%%% Stewart, G. W., III, "On Some Methods for Solving Equations Related
%%% to Schroder's Iterations," submitted to Soc. Ind. Appl. Math. Rev.

@Article{Stewart:1967:GTF,
  author =       "G. W. {Stewart III}",
  title =        "A generalization of a theorem of {Fan} on {Gershgorin}
                 disks",
  journal =      j-NUM-MATH,
  volume =       "10",
  pages =        "162--162",
  year =         "1967",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/BF02174149",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Thu May 29 14:46:06 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  note =         "See original paper by Fan at
                 \path=https://doi.org/10.1215/S0012-7094-58-02538-9=,
                 \path=https://zbmath.org/?q=an:0081.25202=.",
  URL =          "http://zbmath.org/?q=an:0158.03504",
  ZMnumber =     "0158.03504",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  GWS-number =   "J2",
  journal-URL =  "http://link.springer.com/journal/211",
}

@Article{Stewart:1967:MDM,
  author =       "G. W. {Stewart III}",
  title =        "A Modification of {Davidon}'s Minimization Method to
                 Accept Difference Approximations to Derivatives",
  journal =      j-J-ACM,
  volume =       "14",
  number =       "1",
  pages =        "72--83",
  month =        jan,
  year =         "1967",
  CODEN =        "JACOAH",
  ISSN =         "0004-5411 (print), 1557-735X (electronic)",
  ISSN-L =       "0004-5411",
  bibdate =      "Tue Nov 1 09:42:13 1994",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/jacm.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Association for Computing Machinery",
  GWS-number =   "J1",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J401",
  keywords =     "nlop; quasi-Newton",
}

@Article{Stewart:1968:NAN,
  author =       "G. W. {Stewart III} and Dale W. Lick",
  title =        "Numerical Analysis: Numerical solution of a thin plate
                 heat transfer problem",
  journal =      j-CACM,
  volume =       "11",
  number =       "9",
  pages =        "639--641",
  month =        sep,
  year =         "1968",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  MRclass =      "65.68",
  MRnumber =     "39\#2356",
  bibdate =      "Fri Nov 25 18:20:21 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1960.bib",
  abstract =     "The numerical solution of a system of linear equations
                 resulting from a discrete approximation to a thin plate
                 heat transfer problem is considered. The slow
                 convergence of point iterative methods is analyzed and
                 shown to be caused by one of the boundary conditions.
                 The difficulty may be removed by a standard line
                 iterative technique.",
  acknowledgement = ack-nhfb,
  fjournal =     "Communications of the ACM",
  GWS-number =   "J3",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
  keywords =     "block SOR; boundary value problem; heat transfer
                 problem; Poisson equation; successive overrelaxation
                 (SOR); thin domain",
  xxpages =      "639--640",
}

@TechReport{Stewart:1968:STNa,
  author =       "Gilbert Wright {Stewart III}",
  title =        "Some Topics in Numerical Analysis",
  type =         "Report",
  number =       "ORNL-4303",
  institution =  inst-ORNL,
  address =      inst-ORNL:adr,
  pages =        "vi + 71",
  month =        sep,
  year =         "1968",
  bibdate =      "Wed May 28 18:25:01 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  URL =          "http://www.ornl.gov/info/reports/1968/3445605155079.pdf",
  acknowledgement = ack-nhfb,
  GWS-number =   "T1",
  remark =       "Copy of \cite{Stewart:1969:STNb}.",
  tableofcontents = "I: Lehmer's method for finding the zeros of a
                 polynomial 1 \\
                 Introduction / 1 \\
                 Lehmer's Method / 2 \\
                 Rounding Error / 11 \\
                 Error Analysis of the Shifting Algorithm / 21 \\
                 Error Analysis of the Cohn Algorithm / 27 \\
                 Asymptotic Behavior / 35 \\
                 II: Accelerating the orthogonal iteration for the
                 eigenvectors of a Hermitian matrix / 40 \\
                 Introduction / 40 \\
                 A Refinement Procedure for Approximate Eigenvectors /
                 43 \\
                 Convergence of the Orthogonal Iteration / 45 \\
                 Some Miscellaneous Theorems / 49 \\
                 Accuracy of the Refined Eigenvalues / 58 \\
                 Accuracy of the Refined Eigenvectors / 65 \\
                 Bibliography / 71",
}

@InCollection{Householder:1969:BHD,
  author =       "A. S. Householder and G. W. {Stewart III}",
  title =        "Bigradients, {Hankel} determinants, and the {Pad{\'e}}
                 table",
  crossref =     "Dejon:1969:CAF",
  pages =        "131--150",
  year =         "1969",
  MRclass =      "65.35",
  MRnumber =     "0266406 (42 \#1312)",
  MRreviewer =   "J. F. Traub",
  bibdate =      "Thu May 29 16:03:11 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  ZMnumber =     "0181.17404",
  acknowledgement = ack-nhfb,
  GWS-number =   "N1",
}

@Article{Householder:1969:CSI,
  author =       "A. S. Householder and G. W. Stewart",
  title =        "Comments on {``Some iterations for factoring a
                 polynomial''}",
  journal =      j-NUM-MATH,
  volume =       "13",
  number =       "5",
  pages =        "470--471",
  month =        oct,
  year =         "1969",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Thu Jan 13 08:40:53 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
}

@Article{Stewart:1969:AOI,
  author =       "G. W. Stewart",
  title =        "Accelerating the orthogonal iteration for the
                 eigenvectors of a {Hermitian} matrix",
  journal =      j-NUM-MATH,
  volume =       "13",
  number =       "4",
  pages =        "362--376",
  month =        aug,
  year =         "1969",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/BF02165413",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Sun Oct 17 19:01:15 MDT 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  URL =          "http://zbmath.org/?q=an:0185.40203",
  ZMnumber =     "0185.40203",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  GWS-number =   "J5",
  journal-URL =  "http://link.springer.com/journal/211",
}

@Article{Stewart:1969:CGI,
  author =       "G. W. Stewart",
  title =        "On the Continuity of the Generalized Inverse",
  journal =      j-SIAM-J-APPL-MATH,
  volume =       "17",
  number =       "1",
  pages =        "33--45",
  month =        jan,
  year =         "1969",
  CODEN =        "SMJMAP",
  ISSN =         "0036-1399 (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/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Applied Mathematics",
  GWS-number =   "J4",
  journal-URL =  "http://epubs.siam.org/siap",
}

@Article{Stewart:1969:LMF,
  author =       "G. W. {Stewart III}",
  title =        "On {Lehmer}'s Method for Finding the Zeros of a
                 Polynomial",
  journal =      j-MATH-COMPUT,
  volume =       "23",
  number =       "108",
  pages =        "829--835, s24--s30",
  month =        oct,
  year =         "1969",
  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/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
                 JSTOR database; Theory/Matrix.bib",
  note =         "See corrigendum \cite{Stewart:1971:CLM}.",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  GWS-number =   "J7",
  journal-URL =  "http://www.ams.org/mcom/",
  kwds =         "nlop, polynomial, Lehmer's method",
  xxpages =      "829--836, s24--s30",
}

@Article{Stewart:1969:SIF,
  author =       "G. W. Stewart",
  title =        "Some iterations for factoring a polynomial",
  journal =      j-NUM-MATH,
  volume =       "13",
  number =       "5",
  pages =        "458--470",
  month =        oct,
  year =         "1969",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/BF02163273",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Thu Jan 13 08:40:53 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  URL =          "http://zbmath.org/?q=an:0181.17401",
  ZMnumber =     "0181.17401",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  GWS-number =   "J6",
  journal-URL =  "http://link.springer.com/journal/211",
  xxpages =      "458--471",
}

@TechReport{Stewart:1969:STF,
  author =       "G. W. {Stewart III}",
  title =        "A Set Theoretic Formulation of Backward Rounding Error
                 Analysis",
  type =         "Computation Center Report",
  number =       "TNN-92",
  institution =  inst-U-TEXAS-AUSTIN,
  address =      inst-U-TEXAS-AUSTIN:adr,
  pages =        "????",
  month =        "????",
  year =         "1969",
  bibdate =      "Thu May 29 16:09:20 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
  GWS-number =   "N2",
}

@PhdThesis{Stewart:1969:STNb,
  author =       "Gilbert Wright {Stewart III}",
  title =        "Some Topics in Numerical Analysis",
  type =         "{Ph.D.} dissertation",
  school =       "University of Tennessee, Knoxville",
  address =      "Knoxville, TN, USA",
  month =        may,
  year =         "1969",
  bibdate =      "Wed May 28 10:56:30 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  URL =          "http://genealogy.math.ndsu.nodak.edu/id.php?id=58767;
                 http://search.proquest.com/docview/302349990;
                 http://www.ornl.gov/info/reports/1968/3445605155079.pdf",
  acknowledgement = ack-nhfb,
  advisor =      "Alston Scott Householder",
  tableofcontents = "I: Lehmer's method for finding the zeros of a
                 polynomial 1 \\
                 Introduction / 1 \\
                 Lehmer's Method / 2 \\
                 Rounding Error / 11 \\
                 Error Analysis of the Shifting Algorithm / 21 \\
                 Error Analysis of the Cohn Algorithm / 27 \\
                 Asymptotic Behavior / 35 \\
                 II: Accelerating the orthogonal iteration for the
                 eigenvectors of a Hermitian matrix / 40 \\
                 Introduction / 40 \\
                 A Refinement Procedure for Approximate Eigenvectors /
                 43 \\
                 Convergence of the Orthogonal Iteration / 45 \\
                 Some Miscellaneous Theorems / 49 \\
                 Accuracy of the Refined Eigenvalues / 58 \\
                 Accuracy of the Refined Eigenvectors / 65 \\
                 Bibliography / 71",
}

@Article{Stewart:1970:AAE,
  author =       "G. W. Stewart",
  title =        "{ACM Algorithm 384}: Eigenvalues and Eigenvectors of a
                 Real Symmetric Matrix [{F2}]",
  journal =      j-CACM,
  volume =       "13",
  number =       "6",
  pages =        "369--371",
  month =        jun,
  year =         "1970",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Tue Mar 25 13:26:09 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
  note =         "See errata \cite{Stewart:1970:RAE}.",
  acknowledgement = ack-nhfb,
  classcodes =   "C4140 (Linear algebra); C7300 (Natural sciences
                 computing)",
  corpsource =   "Univ. Texas, Austin, TX, USA",
  fjournal =     "Communications of the ACM",
  GWS-number =   "J10",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
  keywords =     "eigenvalues; eigenvalues and eigenfunctions;
                 eigenvectors; matrix algebra; QR algorithm; real
                 symmetric matrix; subroutines",
  kwds =         "nla, eig, QR algorithm, symmetric matrix",
}

@Article{Stewart:1970:CSS,
  author =       "G. W. Stewart",
  title =        "On the Convergence of {Sebasti{\~a}o e Silva}'s Method
                 for Finding a Zero of a Polynomial",
  journal =      j-SIAM-REVIEW,
  volume =       "12",
  number =       "3",
  pages =        "458--460",
  month =        "????",
  year =         "1970",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1012085",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Thu Mar 27 09:06:20 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/12/3;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://zbmath.org/?q=an:0198.20905",
  ZMnumber =     "0198.20905",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  GWS-number =   "J11",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "July 1970",
}

@Article{Stewart:1970:IOS,
  author =       "G. W. Stewart",
  title =        "Incorporating Origin Shifts into the {QR} Algorithm
                 for Symmetric Tridiagonal Matrices",
  journal =      j-CACM,
  volume =       "13",
  number =       "6",
  pages =        "365--367",
  month =        jun,
  year =         "1970",
  CODEN =        "CACMA2",
  DOI =          "https://doi.org/10.1145/362384.362501",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Tue Mar 25 13:26:09 MST 1997",
  bibsource =    "Compendex database;
                 ftp://ftp.ira.uka.de/pub/bibliography/Theory/gvl.bib;
                 ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
  URL =          "http://zbmath.org/?q=an:0195.45001",
  ZMnumber =     "0195.45001",
  abstract =     "The $ Q R $ iteration for the eigenvalues of a
                 symmetric tridiagonal matrix can be accelerated by
                 incorporating a sequence of origin shifts. The origin
                 shift may be either subtracted directly from the
                 diagonal elements of the matrix or incorporated by
                 means of an implicit algorithm. Both methods have
                 drawbacks-the direct method can unnecessarily degrade
                 small eigenvalues, while the implicit method can
                 effectively loose the shift and thereby retard the
                 convergence. A new method which has neither drawback is
                 presented. Both the algorithm proposed here and the
                 implicit algorithm are safer than the explicit
                 algorithm. The implicit algorithm requires somewhat
                 less computation, but the new algorithm will give
                 faster convergence in some cases, an important
                 consideration when eigenvectors are being calculated.",
  acknowledgement = ack-nhfb,
  classcodes =   "C4140 (Linear algebra)",
  corpsource =   "Univ. Tex., Austin, TX, USA",
  fjournal =     "Communications of the ACM",
  GWS-number =   "J9",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
  journalabr =   "Commun ACM",
  keywords =     "computers, data processing; convergence of numerical
                 methods; eigenfunctions; eigenvalues; eigenvalues and;
                 eigenvectors; iterative methods; mathematics; matrix
                 algebra; origin shifts; QR method; symmetric
                 tridiagonal matrix; tridiagonal matrices",
  kwds =         "nla, eig, QR algorithm, symmetric matrix, tridiagonal
                 matrix",
}

@Article{Stewart:1970:RAE,
  author =       "G. W. Stewart",
  title =        "Remark on ``{Algorithm 384}: Eigenvalues and
                 Eigenvectors of a Real Symmetric Matrix [{F2}]''",
  journal =      j-CACM,
  volume =       "13",
  number =       "12",
  pages =        "750--750",
  month =        dec,
  year =         "1970",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Tue Apr 08 20:40:01 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
  note =         "See \cite{Stewart:1970:AAE}.",
  acknowledgement = ack-nhfb,
  fjournal =     "Communications of the ACM",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
  keywords =     "eigenvalues; eigenvectors; QR algorithm; real
                 symmetric matrix",
  kwds =         "nla, eig, QR algorithm, symmetric matrix",
}

@Article{Stewart:1970:SIF,
  author =       "G. W. Stewart",
  title =        "On {Samelson}'s iteration for factoring polynomials",
  journal =      j-NUM-MATH,
  volume =       "15",
  number =       "4",
  pages =        "306--314",
  month =        aug,
  year =         "1970",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/BF02165121",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRnumber =     "65H05 65D05",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  URL =          "http://zbmath.org/?q=an:0231.65050",
  ZMnumber =     "0231.65050",
  acknowledgement = ack-nhfb,
  classification = "C4190 (Other numerical methods)",
  corpsource =   "Univ. Texas, Austin, TX, USA",
  fjournal =     "Numerische Mathematik",
  GWS-number =   "J8",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "iterative methods; polynomials",
}

@Article{Householder:1971:NFP,
  author =       "A. S. Householder and G. W. Stewart",
  title =        "The Numerical Factorization of a Polynomial",
  journal =      j-SIAM-REVIEW,
  volume =       "13",
  number =       "1",
  pages =        "38--46",
  month =        "????",
  year =         "1971",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1013002",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Thu Mar 27 09:06:25 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/13/1;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  GWS-number =   "J12",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 1971",
}

@TechReport{Moler:1971:AGM,
  author =       "Cleve B. Moler and Gilbert W. Stewart",
  title =        "An algorithm for the generalized matrix eigenvalue
                 problem {$ A x = \lambda B x $}",
  type =         "Technical Report",
  number =       "STAN-CS-71-232",
  institution =  inst-STANFORD-CS,
  address =      inst-STANFORD-CS:adr,
  pages =        "50",
  year =         "1971",
  bibdate =      "Sat Apr 07 09:36:51 2007",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  note =         "Issued jointly as report CNA 32 by the Center for
                 Numerical Analysis, the University of Texas at
                 Austin.",
  acknowledgement = ack-nhfb,
}

@Article{Stewart:1971:CLM,
  author =       "G. W. {Stewart III}",
  title =        "Corrigendum: {``On Lehmer's Method for Finding the
                 Zeros of a Polynomial''}",
  journal =      j-MATH-COMPUT,
  volume =       "25",
  number =       "113",
  pages =        "203--203",
  month =        jan,
  year =         "1971",
  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/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
                 JSTOR database",
  note =         "See \cite{Stewart:1969:LMF}.",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  GWS-number =   "J7",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{Stewart:1971:COA,
  author =       "G. W. Stewart",
  title =        "On a companion operator for analytic functions",
  journal =      j-NUM-MATH,
  volume =       "18",
  number =       "1",
  pages =        "26--43",
  month =        feb,
  year =         "1971",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/BF01398457",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRnumber =     "65H99 15A06 15A57",
  bibdate =      "Mon Oct 18 20:12:42 MDT 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  URL =          "http://zbmath.org/?q=an:0211.18805",
  ZMnumber =     "0211.18805; 0217.52705",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  GWS-number =   "J14",
  journal-URL =  "http://link.springer.com/journal/211",
}

@Article{Stewart:1971:EAA,
  author =       "G. W. Stewart",
  title =        "Error Analysis of the Algorithm for Shifting the Zeros
                 of a Polynomial by Synthetic Division",
  journal =      j-MATH-COMPUT,
  volume =       "25",
  number =       "113",
  pages =        "135--139",
  year =         "1971",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  GWS-number =   "J13",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{Stewart:1971:EBA,
  author =       "G. W. Stewart",
  title =        "Error Bounds for Approximate Invariant Subspaces of
                 Closed Linear Operators",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "8",
  number =       "4",
  pages =        "796--808",
  month =        dec,
  year =         "1971",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/0708073",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRnumber =     "47A15 47A55 47A75",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  URL =          "http://zbmath.org/?q=an:0232.47010",
  ZMnumber =     "0232.47010",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  GWS-number =   "J15",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@Article{Bartels:1972:AAS,
  author =       "Richard H. Bartels and G. W. Stewart",
  title =        "{ACM Algorithm 432}: Solution of the Matrix Equation
                 {{\boldmath $ A X + X B = C $}} [{F4}]",
  journal =      j-CACM,
  volume =       "15",
  number =       "9",
  pages =        "820--826",
  month =        sep,
  year =         "1972",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Mon Jan 22 06:23:37 MST 2001",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Parallel/par.lin.alg.bib;
                 ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib;
                 http://dblp.uni-trier.de/db/journals/cacm/cacm15.html#BartelsS72;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Communications of the ACM",
  GWS-number =   "J17",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
  keywords =     "linear algebra; linear equations; matrices",
  kwds =         "nla, Schur form, Sylvester equation, Lyapunov
                 equation, matrix equation",
  oldlabel =     "BartelsS72",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/BartelsS72",
}

@Article{Hoberock:1972:IRP,
  author =       "L. L. Hoberock and G. W. {Stewart III}",
  title =        "Input Requirements and Parametric Errors for Systems
                 Identification under Periodic Excitement",
  journal =      "AMSE {Transactions}",
  volume =       "94",
  number =       "??",
  pages =        "296--302",
  month =        "????",
  year =         "1972",
  ISSN =         "0761-2532",
  ISSN-L =       "0761-2532",
  bibdate =      "Thu May 29 16:10:45 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
  GWS-number =   "N3",
  keywords =     "Association for the Advancement of Modelling and
                 Simulation Techniques in Enterprises",
}

@TechReport{Moler:1972:AGM,
  author =       "C. B. Moler and G. W. Stewart",
  title =        "An algorithm for generalized matrix eigenvalue
                 problems",
  type =         "Report",
  number =       "TR-3",
  institution =  "University of Michigan",
  address =      "Ann Arbor, MI, USA",
  pages =        "50",
  month =        feb,
  year =         "1972",
  MRnumber =     "65F15",
  bibdate =      "Fri Mar 21 15:55:27 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  URL =          "http://zbmath.org/?q=an:0225.65046",
  ZMnumber =     "0225.65046",
  abstract =     "A method, called the $ Q Z $ algorithm, is presented
                 for the solution of the matrix eigenvalue problem $ A x
                 = \lambda B x $ with the general square matrices $A$
                 and $B$. Particular attention is paid to the
                 degeneracies which result when $B$ is singular. No
                 inversions of $B$ or its submatrices are used. The
                 algorithm is a generalization of the $ Q R$ algorithm,
                 and reduces to it when $ B = I$. Problems involving
                 powers of $ \lambda $ are also mentioned",
  acknowledgement = ack-nhfb,
  classcodes =   "C4140 (Linear algebra)",
  corpsource =   "Univ. Michigan, Ann Arbor, MI, USA",
  keywords =     "algorithm; degeneracies; eigenvalues and
                 eigenfunctions; generalized matrix eigenvalue problems;
                 matrix algebra; methods; numerical; QZ",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Stewart:1972:SEP,
  author =       "G. W. Stewart",
  title =        "On the Sensitivity of the Eigenvalue Problem {$ A x =
                 \lambda B x $}",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "9",
  number =       "4",
  pages =        "669--686",
  month =        dec,
  year =         "1972",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/0709056",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRnumber =     "65F15 15A18 15A42",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  URL =          "http://zbmath.org/?q=an:0252.65026",
  ZMnumber =     "0252.65026",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  GWS-number =   "J16",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@Article{Moler:1973:AGM,
  author =       "C. B. Moler and G. W. Stewart",
  title =        "An Algorithm for Generalized Matrix Eigenvalue
                 Problems",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "10",
  number =       "2",
  pages =        "241--256",
  month =        apr,
  year =         "1973",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRnumber =     "65F15",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  URL =          "http://zbmath.org/?q=an:0225.65046",
  ZMnumber =     "0225.65046",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290H (Linear algebra); C4140 (Linear algebra)",
  corpsource =   "Univ. New Mexico, Albuquerque, NM, USA",
  fjournal =     "SIAM Journal on Numerical Analysis",
  GWS-number =   "J18",
  journal-URL =  "http://epubs.siam.org/sinum",
  keywords =     "algorithm; degeneracies; eigenvalues and
                 eigenfunctions; general square; generalization of the
                 QR; generalized matrix eigenvalue problems; matrices;
                 matrix algebra; nla, geig, QZ algorithm; singular",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Stewart:1973:CDM,
  author =       "G. W. Stewart",
  title =        "Conjugate direction methods for solving systems of
                 linear equations",
  journal =      j-NUM-MATH,
  volume =       "21",
  number =       "4",
  pages =        "285--297",
  month =        aug,
  year =         "1973",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290F (Interpolation and function approximation);
                 B0290H (Linear algebra); C4130 (Interpolation and
                 function approximation); C4140 (Linear algebra)",
  corpsource =   "Carnegie-Mellon Univ., Pittsburgh, PA, USA",
  fjournal =     "Numerische Mathematik",
  GWS-number =   "J20",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "conjugate; conjugate direction methods; iterations;
                 iterative methods; matrix; matrix algebra; systems of
                 linear equations",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Stewart:1973:EPB,
  author =       "G. W. Stewart",
  title =        "Error and Perturbation Bounds for Subspaces Associated
                 with Certain Eigenvalue Problems",
  journal =      j-SIAM-REVIEW,
  volume =       "15",
  number =       "4",
  pages =        "727--764",
  month =        "????",
  year =         "1973",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1015095",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Thu Mar 27 09:06:54 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/15/4;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  GWS-number =   "J19",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "October 1973",
}

@Book{Stewart:1973:IMC,
  author =       "G. W. (Gilbert W.) Stewart",
  title =        "Introduction to Matrix Computations",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xiii + 441",
  year =         "1973",
  ISBN =         "0-12-670350-7",
  ISBN-13 =      "978-0-12-670350-4",
  LCCN =         "QA188 .S71 1973",
  MRclass =      "65FXX",
  MRnumber =     "0458818 (56 \#17018)",
  MRreviewer =   "James H. Wilkinson",
  bibdate =      "Sun Nov 23 10:56:10 MST 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/han-wri-mat-sci-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Computer Science and Applied Mathematics, Editor:
                 Werner Rheinboldt",
  URL =          "http://catalog.hathitrust.org/api/volumes/oclc/658076.html;
                 http://catdir.loc.gov/catdir/description/els031/72082636.html;
                 http://catdir.loc.gov/catdir/toc/els031/72082636.html;
                 http://www.gbv.de/dms/hbz/toc/ht000832348.pdf;
                 http://www.loc.gov/catdir/description/els031/72082636.html;
                 http://www.loc.gov/catdir/toc/els031/72082636.htmlQ",
  acknowledgement = ack-njh # " and " # ack-nhfb # " and " # ack-rah,
  GWS-number =   "B1",
  subject =      "Matrices; Data processing",
  tableofcontents = "Preface / ix \\
                 Acknowledgments / xiii \\
                 1. Preliminaries \\
                 \\
                 1. The Space $R^n$ / 2 \\
                 2. Linear Independence, Subspaces, and Bases / 9 \\
                 3. Matrices / 20 \\
                 4. Operations with Matrices / 29 \\
                 5. Linear Transformations and Matrices / 46 \\
                 6. Linear Equations and Inverses / 54 \\
                 7. A Matrix Reduction and Some Consequences / 63 \\
                 \\
                 2. Practicalities \\
                 \\
                 1. Errors, Arithmetic, and Stability / 69 \\
                 2. An Informal Language / 83 \\
                 3. Coding Matrix Operations / 93 \\
                 3. The Direct Solution of Linear Systems \\
                 \\
                 1. Triangular Matrices and Systems / 106 \\
                 2. Gaussian Elimination / 113 \\
                 3. Triangular Decomposition / 131 \\
                 4. The Solution of Linear Systems / 144 \\
                 5. The Effects of Rounding Error / 148 \\
                 \\
                 4. Norms, Limits, and Condition Numbers \\
                 \\
                 1. Norms and Limits / 161 \\
                 2. Matrix Norms / 173 \\
                 3. Inverses of Perturbed Matrices / 184 \\
                 4. The Accuracy of Solutions of Linear Systems / 192
                 \\
                 5. Iterative Refinement of Approximate Solutions of
                 Linear Systems / 200 \\
                 \\
                 5. The Linear Least Squares Problem \\
                 1. Orthogonality / 209 \\
                 2. The Linear Least Squares Problem / 217 \\
                 3. Orthogonal Triangularization / 230 \\
                 4. The Iterative Refinement of Least Squares Solutions
                 / 245 \\
                 \\
                 6. Eigenvalues and Eigenvectors \\
                 \\
                 1. The Space $\mathbb{C}^n$ / 251 \\
                 2. Eigenvalues and Eigenvectors / 262 \\
                 3. Reduction of Matrices by Similarity Transformations
                 / 275 \\
                 4. The Sensitivity of Eigenvalues and Eigenvectors /
                 289 \\
                 5. Hermitian Matrices / 307 \\
                 6. The Singular Value Decomposition / 317 \\
                 \\
                 7. The $QR$ Algorithm \\
                 \\
                 1. Reduction to Hessenberg and Tridiagonal Forms / 328
                 \\
                 2. The Power and Inverse Power Methods / 340 \\
                 3. The Explicitly Shifted $QR$ Algorithm / 351 \\
                 4. The Implicitly Shifted $QR$ Algorithm / 368 \\
                 5. Computing Singular Values and Vectors / 381 \\
                 6. The Generalized Eigenvalue Problem $A - \lambda B$ /
                 387 \\
                 \\
                 Appendix 1. The Greek Alphabet and Latin Notational
                 Correspondents / 395 \\
                 \\
                 Appendix 2. Determinants / 396 \\
                 Appendix 3. Rounding-Error Analysis of Solution of
                 Triangular Systems and of Gaussian Elimination / 405
                 \\
                 \\
                 Appendix 4. Of Things Not Treated / 413 \\
                 Bibliography / 417 \\
                 Index of Notation / 425 \\
                 Index of Algorithms / 427 \\
                 Index / 429",
}

@Article{Stewart:1973:SIF,
  author =       "G. W. Stewart",
  title =        "Some iterations for factoring a polynomial. {II}: {A}
                 generalization of the secant method",
  journal =      j-NUM-MATH,
  volume =       "22",
  number =       "1",
  pages =        "33--36",
  month =        feb,
  year =         "1973",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Sun Oct 17 16:12:48 MDT 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  GWS-number =   "J21",
  journal-URL =  "http://link.springer.com/journal/211",
}

@Article{Blevins:1974:CED,
  author =       "M. M. Blevins and G. W. Stewart",
  title =        "Calculating the Eigenvectors of Diagonally Dominant
                 Matrices",
  journal =      j-J-ACM,
  volume =       "21",
  number =       "2",
  pages =        "261--271",
  month =        apr,
  year =         "1974",
  CODEN =        "JACOAH",
  ISSN =         "0004-5411 (print), 1557-735X (electronic)",
  ISSN-L =       "0004-5411",
  bibdate =      "Wed Jan 15 18:12:53 MST 1997",
  bibsource =    "Compendex database;
                 ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/jacm.bib",
  abstract =     "An algorithm is proposed for calculating the
                 eigenvectors of a diagonally dominant matrix all of
                 whose elements are known to high relative accuracy.
                 Eigenvectors corresponding to pathologically close
                 eigenvalues are treated by computing the invariant
                 subspace that they span. If the off-diagonal elements
                 of the matrix are sufficiently small, the method is
                 superior to standard techniques, and indeed it may
                 produce a complete set of eigenvectors with an amount
                 of work proportional to the square of the order of the
                 matrix. An analysis is given of the effects of
                 perturbations in the matrix on the eigenvectors.",
  acknowledgement = ack-nhfb,
  classification = "921",
  fjournal =     "Journal of the Association for Computing Machinery",
  GWS-number =   "J24",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J401",
  journalabr =   "J Assoc Comput Mach",
  keywords =     "diagonal dominance; eig; mathematical techniques;
                 nla",
}

@Article{Soderstrom:1974:NPI,
  author =       "Torsten S{\"o}derstr{\"o}m and G. W. Stewart",
  title =        "On the Numerical Properties of an Iterative Method for
                 Computing the {Moore--Penrose} Generalized Inverse",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "11",
  number =       "1",
  pages =        "61--74",
  month =        mar,
  year =         "1974",
  CODEN =        "SJNAAM",
  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/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database; Theory/Matrix.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  GWS-number =   "J23",
  journal-URL =  "http://epubs.siam.org/sinum",
  kwds =         "nla, ginv, iter",
}

@Article{Stewart:1974:CMI,
  author =       "G. W. Stewart",
  title =        "The Convergence of Multipoint Iterations to Multiple
                 Zeros",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "11",
  number =       "6",
  pages =        "1105--1120",
  month =        dec,
  year =         "1974",
  CODEN =        "SJNAAM",
  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/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  GWS-number =   "J22",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@Article{Stewart:1974:MPE,
  author =       "G. W. Stewart",
  title =        "Modifying Pivot Elements in {Gaussian} Elimination",
  journal =      j-MATH-COMPUT,
  volume =       "28",
  number =       "126",
  pages =        "537--542",
  month =        apr,
  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/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
                 JSTOR database; Theory/Matrix.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290H (Linear algebra); C4140 (Linear algebra)",
  corpsource =   "Carnegie-Mellon Univ., Pittsburgh, PA, USA",
  fjournal =     "Mathematics of Computation",
  GWS-number =   "J25",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "analysis; Gaussian elimination; inverse; matrix
                 algebra; pivot elements; pivoting; rank one
                 modification; rounding error; sparseness; stable",
  kwds =         "nla, sparse, linear system, lud, pivoting",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Stewart:1974:NTL,
  author =       "G. W. Stewart",
  title =        "The Numerical Treatment of Large Eigenvalue Problems",
  crossref =     "Rosenfeld:1974:IPP",
  pages =        "666--672",
  year =         "1974",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
  GWS-number =   "N4",
}

@Article{Stewart:1975:CMC,
  author =       "G. W. Stewart",
  title =        "The Convergence of the Method of Conjugate Gradients
                 at Isolated Extreme Points in the Spectrum",
  journal =      j-NUM-MATH,
  volume =       "24",
  number =       "2",
  pages =        "85--93",
  month =        apr,
  year =         "1975",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
  corpsource =   "Carnegie-Mellon Univ., Computer Sci. Dept.,
                 Pittsburgh, PA, USA",
  fjournal =     "Numerische Mathematik",
  GWS-number =   "J26",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "bounds; convergence; convergence of numerical methods;
                 eigenvalue; eigenvalues and eigenfunctions; error
                 vectors; isolated extreme points; linear system; matrix
                 algebra; method of conjugate gradients",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Stewart:1975:GTG,
  author =       "G. W. Stewart",
  title =        "{Gershgorin} Theory for the Generalized Eigenvalue
                 Problem {$ A x = \lambda B x $}",
  journal =      j-MATH-COMPUT,
  volume =       "29",
  number =       "130",
  pages =        "600--606",
  month =        apr,
  year =         "1975",
  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/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
                 JSTOR database; Parallel/par.lin.alg.bib;
                 Theory/Matrix.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290H (Linear algebra); C4140 (Linear algebra)",
  corpsource =   "Dept. Computer Sci., Carnegie-Mellon Univ.,
                 Pittsburgh, PA, USA",
  fjournal =     "Mathematics of Computation",
  GWS-number =   "J27",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "chordal metric; eigenvalues and eigenfunctions;
                 generalized eigenvalue problem; Gershgorin's theorem;
                 infinite eigenvalues; linear algebra; multiple
                 eigenvalues; perturbation bounds; Riemann sphere",
  kwds =         "la, pert, geig, Gerschgorin's theorem",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Stewart:1975:IPT,
  author =       "G. W. Stewart",
  title =        "An inverse perturbation theorem for the linear least
                 squares problem",
  journal =      j-SIGNUM,
  volume =       "10",
  number =       "2--3",
  pages =        "39--40",
  month =        nov,
  year =         "1975",
  CODEN =        "SNEWD6",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  ISSN-L =       "0163-5778",
  bibdate =      "Tue Apr 12 07:50:01 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/signum.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Dept. of Computer Sci., Univ. of Maryland, Baltimore,
                 MD, USA",
  fjournal =     "ACM SIGNUM Newsletter",
  GWS-number =   "J28",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J690",
  keywords =     "inverse perturbation theorem; least squares
                 approximations; linear least squares; matrix;
                 minimisation; perturbation techniques; vectors",
  mynote =       "Nov",
  treatment =    "T Theoretical or Mathematical",
}

@InCollection{Stewart:1975:MSI,
  author =       "G. W. Stewart",
  title =        "Methods of Simultaneous Iteration for Calculating
                 Eigenvectors of Matrices",
  crossref =     "Miller:1975:TNA",
  pages =        "185--196",
  year =         "1975",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
  GWS-number =   "N5",
}

@Article{Daniel:1976:RSA,
  author =       "J. W. Daniel and W. B. Gragg and L. Kaufman and G. W.
                 Stewart",
  title =        "Reorthogonalization and Stable Algorithms for Updating
                 the {Gram--Schmidt} {$ Q R $} Factorization",
  journal =      j-MATH-COMPUT,
  volume =       "30",
  number =       "136",
  pages =        "772--795",
  month =        oct,
  year =         "1976",
  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/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
                 JSTOR database; Theory/Matrix.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "C4110 (Error analysis in numerical methods); C4140
                 (Linear algebra)",
  corpsource =   "Dept. of Computer Sci. and Math., Univ. of Texas,
                 Austin, TX, USA",
  fjournal =     "Mathematics of Computation",
  GWS-number =   "J31",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "error analysis; Gram Schmidt $QR$ factorisation;
                 matrix algebra; process; reorthogonalization; stable
                 algorithms",
  kwds =         "nla, qrd, updating, Gram--Schmidt algorithm",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{Golub:1976:RDLa,
  author =       "Gene H. Golub and Virginia Klema and G. W. Stewart",
  title =        "Rank Degeneracy and Least Squares Problems",
  type =         "Technical Report",
  number =       "TR-456",
  institution =  inst-U-MARYLAND,
  address =      inst-U-MARYLAND:adr,
  pages =        "????",
  month =        jun,
  year =         "1976",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Techreports/university-of-maryland.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  note =         "Also published as Stanford University Computer Science
                 Department Technical Report STAN-CS-76-559.",
  abstract =     "This paper is concerned with least squares problems
                 when the least squares matrix \$A\$ is near a matrix
                 that is not of full rank. A definition of numerical
                 rank is given. It is shown that under certain
                 conditions when \$A\$ has numerical rank \$r\$ there is
                 a distinguished \$r\$ dimensional subspace of the
                 column space of \$A\$ that is insensitive to how it is
                 approximated by \$r\$ independent columns of \$A\$. The
                 consequences of this fact for the least squares problem
                 are examined. Algorithms are described for
                 approximating the stable part of the column space of
                 \$A\$.",
  acknowledgement = ack-nhfb,
  keywords =     "nla, svd, qrd, condition estimation, rank
                 determination, pert, variable selection",
  xxnote =       "Check: is this the same as Golub:1976:RDLb? If so,
                 which report number is correct??",
}

@TechReport{Golub:1976:RDLb,
  author =       "G. H. Golub and Virginia Klema and G. W. {Stewart
                 III}",
  title =        "Rank Degeneracy and Least Squares Problems",
  type =         "Report",
  number =       "TR-751",
  institution =  inst-CS-U-MARYLAND,
  address =      inst-CS-U-MARYLAND:adr,
  pages =        "????",
  month =        "????",
  year =         "1976",
  bibdate =      "Thu May 29 16:12:45 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
  GWS-number =   "N6",
  xxnote =       "Check: is this the same as Golub:1976:RDLa? If so,
                 which report number is correct??",
}

@Article{Gragg:1976:SVS,
  author =       "W. B. Gragg and G. W. Stewart",
  title =        "A Stable Variant of the Secant Method for Solving
                 Nonlinear Equations",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "13",
  number =       "6",
  pages =        "889--903",
  month =        dec,
  year =         "1976",
  CODEN =        "SJNAAM",
  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/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  GWS-number =   "J29",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@Article{Stewart:1976:AHE,
  author =       "G. W. Stewart",
  title =        "{Algorithm 506}: {HQR3} and {EXCHNG}: {Fortran}
                 Subroutines for Calculating and Ordering the
                 Eigenvalues of a Real Upper {Hessenberg} Matrix
                 [{F2}]",
  journal =      j-TOMS,
  volume =       "2",
  number =       "3",
  pages =        "275--280",
  month =        sep,
  year =         "1976",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/355694.355700",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Mon Aug 29 18:03:53 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/fortran1.bib;
                 https://www.math.utah.edu/pub/tex/bib/fortran2.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib;
                 Theory/gvl.bib",
  note =         "See also \cite{Flamm:1982:RHE}.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  GWS-number =   "J33",
  journal-URL =  "http://portal.acm.org/toc.cfm?idx=J782",
  keywords =     "nla, eig, $QR$ algorithm, Hessenberg matrix,
                 software",
  xxnote =       "See also (in fortran2.bib) \cite{Flamm:1982:RHE}.",
}

@InCollection{Stewart:1976:BTL,
  author =       "G. W. Stewart",
  title =        "A Bibliographical Tour of the Large Sparse Generalized
                 Eigenvalue Problem",
  crossref =     "Bunch:1976:SMC",
  pages =        "113--130",
  year =         "1976",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
  GWS-number =   "N7",
}

@InProceedings{Stewart:1976:CVM,
  author =       "G. W. {Stewart III}",
  title =        "Compilers, Virtual Memory, and Matrix Computations",
  crossref =     "Hoaglin:1976:CSS",
  pages =        "85--88",
  year =         "1976",
  bibdate =      "Thu May 29 16:23:20 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
  GWS-number =   "N8",
}

@Article{Stewart:1976:DCR,
  author =       "G. W. Stewart",
  title =        "Detecting and Correcting Rank Degeneracy",
  journal =      j-SIAM-REVIEW,
  volume =       "18",
  number =       "4",
  pages =        "829--829",
  month =        "????",
  year =         "1976",
  CODEN =        "SIREAD",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Fri Jun 21 11:25:02 MDT 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
}

@Article{Stewart:1976:ESP,
  author =       "G. W. Stewart",
  title =        "The Economical Storage of Plane Rotations",
  journal =      j-NUM-MATH,
  volume =       "25",
  number =       "2",
  pages =        "137--138",
  month =        jun,
  year =         "1976",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
  corpsource =   "Dept. of Computer Sci., Univ. of Maryland, College
                 Park, MD, USA",
  fjournal =     "Numerische Mathematik",
  GWS-number =   "J32",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "compacted; economical storage; matrix algebra; matrix
                 computations; plane rotations; single number",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Stewart:1976:SIC,
  author =       "G. W. Stewart",
  title =        "Simultaneous iteration for computing invariant
                 subspaces of {non-Hermitian} matrices",
  journal =      j-NUM-MATH,
  volume =       "25",
  number =       "2",
  pages =        "123--136",
  month =        jun,
  year =         "1976",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290F (Interpolation and function approximation);
                 B0290H (Linear algebra); C4130 (Interpolation and
                 function approximation); C4140 (Linear algebra)",
  corpsource =   "Dept. of Computer Sci., Univ. of Maryland, College
                 Park, MD, USA",
  fjournal =     "Numerische Mathematik",
  GWS-number =   "J30",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "convergence of numerical methods; convergence theory;
                 dominant invariant subspaces; iterative methods; matrix
                 algebra; nested sequence; non Hermitian matrices;
                 orthonormal bases; simultaneous iteration technique",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Stewart:1977:PBF,
  author =       "G. W. Stewart",
  title =        "Perturbation Bounds for the {$ Q R $} Factorization of
                 a Matrix",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "14",
  number =       "3",
  pages =        "509--518",
  month =        jun,
  year =         "1977",
  CODEN =        "SJNAAM",
  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/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  GWS-number =   "J34",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@Article{Stewart:1977:PPI,
  author =       "G. W. Stewart",
  title =        "On the Perturbation of Pseudo-Inverses, Projections,
                 and Linear Least Squares Problems",
  journal =      j-SIAM-REVIEW,
  volume =       "19",
  number =       "4",
  pages =        "634--662",
  month =        "????",
  year =         "1977",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1019104",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:52:46 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/19/4;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  GWS-number =   "J35",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "October 1977",
}

@InProceedings{Stewart:1977:RDL,
  author =       "G. W. Stewart",
  title =        "Research, Development, and {LINPACK}",
  crossref =     "Rice:1977:MSS",
  pages =        "1--14",
  year =         "1977",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
  GWS-number =   "N9",
}

@TechReport{Stewart:1977:SCE,
  author =       "G. W. Stewart",
  title =        "Sensitivity Coefficients for the Effects of Errors in
                 the Independent Variables in a Linear Regression",
  number =       "TR-571",
  institution =  inst-CS-U-MARYLAND,
  address =      inst-CS-U-MARYLAND:adr,
  year =         "1977",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
}

@Article{Moler:1978:HFA,
  author =       "Cleve B. Moler and G. W. Stewart",
  title =        "On the {Householder--Fox} Algorithm for Decomposing a
                 Projection",
  journal =      j-J-COMPUT-PHYS,
  volume =       "28",
  number =       "1",
  pages =        "82--91",
  month =        jul,
  year =         "1978",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(78)90048-7",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 09:15:29 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999178900487",
  acknowledgement = ack-nhfb,
  classcodes =   "A0210 (Algebra, set theory, and graph theory); A0270
                 (Computational techniques); C4140 (Linear algebra)",
  corpsource =   "Univ. of New Mexico, Albuquerque, NM, USA",
  fjournal =     "Journal of Computational Physics",
  GWS-number =   "J36",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
  keywords =     "approximate projection; Cholesky decomposition;
                 Householder--Fox algorithm; matrix algebra; orthonormal
                 basis for; projection range; rounding error",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Stewart:1978:BRV,
  author =       "G. W. Stewart",
  title =        "Book Review: {{\booktitle{Vorlesungen {\"u}ber
                 numerische Mathematik}}, by Heinz Rutishauser}",
  journal =      j-BULL-AMS,
  volume =       "84",
  number =       "4",
  pages =        "660--664",
  month =        jul,
  year =         "1978",
  CODEN =        "BAMOAD",
  DOI =          "https://doi.org/10.1090/s0002-9904-1978-14517-0",
  ISSN =         "0002-9904 (print), 1936-881X (electronic)",
  ISSN-L =       "0002-9904",
  bibdate =      "Wed Aug 26 10:27:58 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Bulletin of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/bull/all_issues.html",
  remark =       "The final paragraph says: ``However, the virtues of
                 the work far outweigh its defects. It is unfortunate
                 that it is available only in German; for it deserves to
                 be more widely read. Rutishauser's audience is not only
                 the student, but the instructor teaching a numerical
                 analysis course for the first time, and especially the
                 mathematician who wants to find out what this important
                 branch of applied mathematics is all about.''",
}

@InCollection{Stewart:1978:PTG,
  author =       "G. W. Stewart",
  title =        "Perturbation Theory for the Generalized Eigenvalue
                 Problem",
  crossref =     "deBoor:1978:SRA",
  pages =        "193--206",
  year =         "1978",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
  GWS-number =   "N10",
}

@TechReport{Stewart:1978:SFS,
  author =       "G. W. Stewart",
  title =        "{SRRIT} --- {A FORTRAN} Subroutine to Calculate the
                 Dominant Invariant Subspaces of a Real Matrix",
  type =         "Technical Report",
  number =       "TRR-514",
  institution =  inst-CS-U-MARYLAND,
  address =      inst-CS-U-MARYLAND:adr,
  year =         "1978",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/fortran1.bib;
                 https://www.math.utah.edu/pub/tex/bib/other/g-w-stewart.bib;
                 Theory/Matrix.bib",
  acknowledgement = ack-nhfb,
  kwds =         "nla, eig, subspace iteration, invariant subspace,
                 software, nonsymmetric matrix",
}

@Article{Bavely:1979:ACR,
  author =       "Connice A. Bavely and G. W. Stewart",
  title =        "An Algorithm for Computing Reducing Subspaces by Block
                 Diagonalization",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "16",
  number =       "2",
  pages =        "359--367",
  month =        apr,
  year =         "1979",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65F30",
  MRnumber =     "80c:65094",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database; Parallel/par.lin.alg.bib;
                 Theory/Matrix.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  GWS-number =   "J37",
  journal-URL =  "http://epubs.siam.org/sinum",
  kwds =         "nla, eig, invariant subspace, nonsymmetric matrix",
}

@Article{Cline:1979:ECN,
  author =       "A. K. Cline and C. B. Moler and G. W. Stewart and J.
                 H. Wilkinson",
  title =        "An Estimate for the Condition Number of a Matrix",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "16",
  number =       "2",
  pages =        "368--375",
  month =        apr,
  year =         "1979",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/0716029",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65F35 (65F05)",
  MRnumber =     "80g:65048",
  MRreviewer =   "R. P. Tewarson",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.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;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  URL =          "http://zbmath.org/?q=an:0403.65012",
  ZMnumber =     "0403.65012",
  acknowledgement = ack-nhfb,
  classcodes =   "C4140 (Linear algebra)",
  corpsource =   "Computer Sci. Dept., Univ. of Texas, Austin, TX, USA",
  fjournal =     "SIAM Journal on Numerical Analysis",
  GWS-number =   "J42",
  journal-URL =  "http://epubs.siam.org/sinum",
  keywords =     "cond; condition estimation; err; linear systems; math;
                 matrix algebra; matrix of coefficients; nla",
  treatment =    "T Theoretical or Mathematical",
}

@Book{Dongarra:1979:LUG,
  author =       "J. J. Dongarra and J. R. Bunch and C. B. Moler and G.
                 W. Stewart",
  title =        "{LINPACK} Users' Guide",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "320",
  year =         "1979",
  ISBN =         "0-89871-172-X (paperback)",
  ISBN-13 =      "978-0-89871-172-1 (paperback)",
  LCCN =         "QA76.73 .L22 L5 1979; QA184 .L56 1982; QA214 .L56
                 1979",
  bibdate =      "Mon Dec 13 15:18:20 1993",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/gnu.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib",
  abstract =     "The authors of this carefully structured guide are the
                 principal developers of LINPACK, a unique package of
                 Fortran subroutines for analyzing and solving various
                 systems of simultaneous linear algebraic equations and
                 linear least squares problems. This guide supports both
                 the casual user of LINPACK who simply requires a
                 library subroutine, and the specialist who wishes to
                 modify or extend the code to handle special problems.
                 It is also recommended for classroom work.",
  acknowledgement = ack-nhfb,
  GWS-number =   "B2",
  keywords =     "book, Cholesky decomposition, cond, downd, linpack,
                 lud, lud, math, nla, qrd, qrd, soft, software, survey,
                 svd, svd, upd, updating",
  subject =      "LINPACK (Computer system); Equations, Simultaneous;
                 Data processing; Matrices; Data processing.; LINPACK
                 (Computer system); LINPACK (Syst{\`e}me d'ordinateur);
                 {\'E}quations simultan{\'e}es; Informatique",
  tableofcontents = "General matrices \\
                 Band matrices \\
                 Positive definite matrices \\
                 Positive definite band matrices \\
                 Symmetric indefinite matrices \\
                 Triangular matrices \\
                 Tridiagonal matrices \\
                 The Cholesky decomposition \\
                 The $QR$ decomposition \\
                 Updating $QR$ and Cholesky decompositions \\
                 The singular value decomposition \\
                 References \\
                 Basic linear algebra subprograms \\
                 Timing data \\
                 Program listings \\
                 BLA listings",
  xxauthor =     "J. J. Dongarra and C. B. Moler and J. R. Bunch and G.
                 W. Stewart",
}

@TechReport{Moler:1979:EMF,
  author =       "Cleve B. Moler and G. W. (Gilbert W.) Stewart",
  title =        "An efficient matrix factorization for digital image
                 processing",
  type =         "Report",
  number =       "LA-7637-MS",
  institution =  inst-LASL,
  address =      inst-LASL:adr,
  pages =        "15",
  month =        jan,
  year =         "1979",
  bibdate =      "Tue May 25 08:46:03 2010",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
  mynote =       "Jan 1979, also Univ. California report UC-32",
  subject =      "matrices; data processing",
}

@Article{OLeary:1979:ELE,
  author =       "Dianne P. O'Leary and G. W. Stewart and James S.
                 Vandergraft",
  title =        "Estimating the Largest Eigenvalue of a Positive
                 Definite Matrix",
  journal =      j-MATH-COMPUT,
  volume =       "33",
  number =       "148",
  pages =        "1289--1292",
  month =        oct,
  year =         "1979",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65F15",
  MRnumber =     "80d:65048",
  bibdate =      "Wed Sep 28 14:04:23 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/han-wri-mat-sci-2ed.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
                 JSTOR database; Theory/Matrix.bib",
  acknowledgement = ack-njh # " and " # ack-nhfb,
  classcodes =   "C4140 (Linear algebra)",
  corpsource =   "Dept. of Computer Sci., Univ. of Maryland, College
                 Park, MD, USA",
  fjournal =     "Mathematics of Computation",
  GWS-number =   "J41",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "dominant; eigenvalue; eigenvalues and eigenfunctions;
                 eigenvector; positive definite matrix; power method;
                 Rayleigh quotient",
  kwds =         "nla, eig, power method, symmetric matrix",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Stewart:1979:ERE,
  author =       "G. W. Stewart",
  title =        "The Effects of Rounding Error on an Algorithm for
                 Downdating a {Cholesky} Factorization",
  journal =      j-J-INST-MATH-APPL,
  volume =       "23",
  number =       "2",
  pages =        "203--213",
  month =        mar,
  year =         "1979",
  CODEN =        "JMTAA8",
  DOI =          "https://doi.org/10.1093/imamat/23.2.203",
  ISSN =         "0020-2932",
  ISSN-L =       "0020-2932",
  MRclass =      "65G05 (65F30)",
  MRnumber =     "80i:65046",
  MRreviewer =   "H. Ratschek",
  bibdate =      "Fri Apr 5 05:48:27 MST 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/Matrix.bib;
                 https://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Institute of Mathematics and its
                 Applications",
  GWS-number =   "J40",
  journal-URL =  "http://imamat.oxfordjournals.org/content/by/year",
  kwds =         "math, nla, rounding error, updating, Cholesky
                 decomposition, qrd",
}

@Article{Stewart:1979:NPS,
  author =       "G. W. Stewart",
  title =        "A Note on the Perturbation of Singular Values",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "28",
  pages =        "213--216",
  month =        dec,
  year =         "1979",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(79)90134-4",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "15A42",
  MRnumber =     "81a:15019",
  MRreviewer =   "J. de Pillis",
  bibdate =      "Tue Feb 16 18:50:44 MST 2016",
  bibsource =    "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1970.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0024379579901344",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  GWS-number =   "J39",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
  keywords =     "la, svd, pert",
}

@Article{Stewart:1979:PBD,
  author =       "G. W. Stewart",
  title =        "Perturbation Bounds for the Definite Generalized
                 Eigenvalue Problem",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "23",
  pages =        "69--85",
  month =        feb,
  year =         "1979",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(79)90094-6",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "15A18 (65F15)",
  MRnumber =     "80c:15007",
  MRreviewer =   "F. Szidarovszky",
  bibdate =      "Tue Feb 16 18:50:33 MST 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1970.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0024379579900946",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  GWS-number =   "J38",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
}

@Article{Stewart:1979:PH,
  author =       "G. W. Stewart",
  title =        "Preface: {A. S. Householder}",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "28",
  pages =        "1--3 + 1",
  month =        dec,
  year =         "1979",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(79)90112-5",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "01A70",
  MRnumber =     "82g:01071",
  bibdate =      "Tue Feb 16 18:50:44 MST 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1970.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0024379579901125",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
}

@Article{Stewart:1980:BMI,
  author =       "G. W. Stewart",
  title =        "The behavior of a multiplicity independent
                 root-finding scheme in the presence of error",
  journal =      j-BIT,
  volume =       "20",
  number =       "4",
  pages =        "526--528",
  month =        dec,
  year =         "1980",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/BF01933649",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65H05 (65G05)",
  MRnumber =     "82b:65043",
  bibdate =      "Wed Jan 4 18:52:16 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=20&issue=4;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=20&issue=4&spage=526",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT (Nordisk tidskrift for informationsbehandling)",
  GWS-number =   "J44",
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Article{Stewart:1980:EGR,
  author =       "G. W. Stewart",
  title =        "The Efficient Generation of Random Orthogonal Matrices
                 With an Application to Condition Estimators",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "17",
  number =       "3",
  pages =        "403--409 (loose microfiche supplement)",
  month =        jun,
  year =         "1980",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65C99 (65F35)",
  MRnumber =     "83e:65018",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  GWS-number =   "J43",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@Article{Stewart:1981:CDH,
  author =       "G. W. Stewart",
  title =        "Constrained definite {Hessians} tend to be well
                 conditioned",
  journal =      j-MATH-PROG,
  volume =       "21",
  pages =        "235--238",
  year =         "1981",
  CODEN =        "MHPGA4",
  ISSN =         "0025-5610",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Programming",
  GWS-number =   "J46",
  journal-URL =  "http://link.springer.com/journal/10107",
}

@Article{Stewart:1981:IDN,
  author =       "G. W. Stewart",
  title =        "On the Implicit Deflation of Nearly Singular Systems
                 of Linear Equations",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "2",
  number =       "2",
  pages =        "136--140",
  month =        jun,
  year =         "1981",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0902011",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  MRclass =      "65F05",
  MRnumber =     "82f:65030",
  bibdate =      "Mon Mar 31 09:58:56 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
  corpsource =   "Dept. of Computer Sci., Univ. of Maryland, College
                 Park, MD, USA",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  GWS-number =   "J45",
  journal-URL =  "http://epubs.siam.org/loi/sjoce3",
  keywords =     "iterative methods; linear algebra; linear equations;
                 matrix algebra; nearly singular systems; sparsity",
  onlinedate =   "June 1981",
  treatment =    "A Application; T Theoretical or Mathematical",
}

@Article{Stewart:1981:MCH,
  author =       "G. W. Stewart",
  title =        "Matrix calculations on hand-held calculators",
  journal =      j-SIGNUM,
  volume =       "16",
  number =       "1",
  pages =        "10--13",
  month =        mar,
  year =         "1981",
  CODEN =        "SNEWD6",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  ISSN-L =       "0163-5778",
  bibdate =      "Tue Apr 12 07:50:09 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/signum.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM SIGNUM Newsletter",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J690",
}

@Article{Stewart:1982:CDP,
  author =       "G. W. Stewart",
  title =        "Computing the {$ C S $} decomposition of a partitioned
                 orthonormal matrix",
  journal =      j-NUM-MATH,
  volume =       "40",
  number =       "3",
  pages =        "297--306",
  month =        dec,
  year =         "1982",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65F25 (65F30)",
  MRnumber =     "84h:65042",
  MRreviewer =   "John Todd",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
  corpsource =   "Dept. of Computer Sci., Univ. of Maryland, College
                 Park, MD, USA",
  fjournal =     "Numerische Mathematik",
  GWS-number =   "J47",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "CS decomposition; matrix algebra; orthogonal
                 transformations; partitioned orthonormal matrix",
  treatment =    "T Theoretical or Mathematical",
}

@InCollection{Anandalingam:1983:AIB,
  author =       "G. Anandalingam and R. Mathieu and L. Pittard and N.
                 Sinha",
  booktitle =    "Impacts of Recent Computer Advances on Operations
                 Research",
  title =        "Artificial intelligence based approaches for solving
                 hierarchical optimization problems",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "289--301",
  year =         "1983",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/multilevel-prog.bib",
  acknowledgement = ack-nhfb,
}

@Article{Stewart:1983:CEB,
  author =       "G. W. Stewart",
  title =        "Computable Error Bounds for Aggregated {Markov}
                 Chains",
  journal =      j-J-ACM,
  volume =       "30",
  number =       "2",
  pages =        "271--285",
  month =        apr,
  year =         "1983",
  CODEN =        "JACOAH",
  ISSN =         "0004-5411 (print), 1557-735X (electronic)",
  ISSN-L =       "0004-5411",
  bibdate =      "Wed Jan 15 18:12:53 MST 1997",
  bibsource =    "Compendex database;
                 ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/jacm.bib",
  abstract =     "A method is described for computing the steady-state
                 probability vector of a nearly completely decomposable
                 Markov chain. The method is closely related to the one
                 proposed by H. A. Simon and A. Ando and developed by P.
                 J. Courtois. However, the method described here does
                 not require the determination of a completely
                 decomposable stochastic approximation to the transition
                 matrix, and hence it is applicable to nonstochastic
                 matrices. An error analysis of the procedure which
                 results in effectively computable error bounds is
                 given.",
  acknowledgement = ack-nhfb,
  classification = "922",
  descriptors =  "Markov process; transition matrix; eigenvalue; error
                 bound; transient Markov chain; steady state",
  fjournal =     "Journal of the Association for Computing Machinery",
  GWS-number =   "J48",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J401",
  journalabr =   "J Assoc Comput Mach",
  keywords =     "aggregation; eig; Markov chain; nla; pert;
                 probability",
  remark =       "For some discrete finite Markov chains, the matrix a
                 of transition probabilities can be partitioned so that
                 the off diagonal blocks are smaller (in norm) than the
                 square submatrices on the diagonal. Thus, a can be
                 approximated by a block-diagonal matrix. The
                 computation of the left eigenvector with eigenvalue 1,
                 which gives the steady-state probabilities of the
                 chain, then reduces to the computation of left
                 eigenvectors of the submatrices on \ldots{}.",
}

@Article{Stewart:1983:MCG,
  author =       "G. W. Stewart",
  title =        "A method for computing the generalized singular value
                 decomposition",
  journal =      j-LECT-NOTES-MATH,
  volume =       "973",
  pages =        "207--220",
  year =         "1983",
  CODEN =        "LNMAA2",
  DOI =          "https://doi.org/10.1007/BFb0062104",
  ISBN =         "0-387-11983-3, 3-540-11983-3 (print), 3-540-39447-8
                 (e-book)",
  ISBN-13 =      "978-0-387-11983-0, 978-3-540-11983-8 (print),
                 978-3-540-39447-1 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  bibdate =      "Fri May 9 19:07:41 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
  URL =          "http://link.springer.com/chapter/10.1007/BFb0062104/",
  acknowledgement = ack-nhfb,
  book-DOI =     "https://doi.org/10.1007/BFb0062089",
  book-URL =     "http://www.springerlink.com/content/978-3-540-39447-1",
  fjournal =     "Lecture Notes in Mathematics",
  GWS-number =   "N12",
  journal-URL =  "http://link.springer.com/bookseries/304",
  remark =       "See \cite{Kaagstrom:1983:MPP} for proceedings
                 volume.",
}

@InCollection{Dongarra:1984:LPS,
  author =       "J. J. Dongarra and G. W. Stewart",
  title =        "{LINPACK} --- {A} Package for Solving Linear Systems",
  crossref =     "Cowell:1984:SDM",
  pages =        "20--48",
  year =         "1984",
  bibdate =      "Fri Aug 23 12:59:02 MDT 1996",
  bibsource =    "Compendex database;
                 https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/fortran2.bib",
  abstract =     "LINPACK is a collection of Fortran subroutines that
                 analyze and solve linear equations and linear least
                 squares problems. The package solves linear systems
                 whose matrices are general, banded, symmetric
                 indefinite, symmetric positive definite, triangular,
                 and tridiagonal. In addition, the package computes the
                 $ Q R $ and singular value decompositions of
                 rectangular matrices and applies them to least squares
                 problems.",
  acknowledgement = ack-nhfb,
  affiliation =  "Argonne Natl Lab, Mathematics \& Computer Science Div,
                 Argonne, IL, USA",
  affiliationaddress = "Argonne Natl Lab, Mathematics \& Computer
                 Science Div, Argonne, IL, USA",
  classification = "723; 731; 921",
  GWS-number =   "N13",
  journalabr =   "Sources and Dev of Math Software",
  keywords =     "COMPUTER PROGRAMMING; COMPUTER PROGRAMMING ---
                 Subroutines; COMPUTER PROGRAMMING LANGUAGES ---
                 FORTRAN; COMPUTER SOFTWARE --- Modular Construction;
                 FORTRAN SUBROUTINES; LINEAR SYSTEMS; LINPACK;
                 MATHEMATICAL TECHNIQUES --- Linear Algebra;
                 Subroutines",
}

@Article{McAllister:1984:RRR,
  author =       "D. F. McAllister and G. W. Stewart and W. J. Stewart",
  title =        "On a {Rayleigh--Ritz} Refinement Technique for Nearly
                 Uncoupled Stochastic Matrices",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "60",
  number =       "??",
  pages =        "1--25",
  month =        aug,
  year =         "1984",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(84)90067-3",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F15 (15A51)",
  MRnumber =     "85h:65082",
  MRreviewer =   "L. Berg",
  bibdate =      "Wed Nov 30 13:49:30 MST 2011",
  bibsource =    "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0024379584900673",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  GWS-number =   "J51",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
  keywords =     "nla, Markov chain, nearly uncoupled system,
                 Rayleigh--Ritz method, aggregation",
  mynote =       "NB: not copied.",
}

@Article{Stewart:1984:ABS,
  author =       "G. W. Stewart",
  title =        "On the Asymptotic Behavior of Scaled Singular Value
                 and {$ Q R $} Decompositions",
  journal =      j-MATH-COMPUT,
  volume =       "43",
  number =       "168",
  pages =        "483--489",
  month =        oct,
  year =         "1984",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65F35 (15A23 65D10)",
  MRnumber =     "86f:65085",
  MRreviewer =   "Alan L. Andrew",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
                 JSTOR database; Theory/Matrix.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  GWS-number =   "J53",
  journal-URL =  "http://www.ams.org/mcom/",
  kwds =         "la, qrd, svd, scaling",
  xxpages =      "483--490",
}

@Article{Stewart:1984:IPN,
  author =       "G. W. Stewart",
  title =        "On the invariance of perturbed null vectors under
                 column scaling",
  journal =      j-NUM-MATH,
  volume =       "44",
  number =       "1",
  pages =        "61--65",
  month =        jun,
  year =         "1984",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65F20 (65F35)",
  MRnumber =     "86d:65053",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Dept. of Computer Sci., Univ. of Maryland, College
                 Park, MD, USA",
  fjournal =     "Numerische Mathematik",
  GWS-number =   "J52",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "column scaling; estimation technique; invariance;
                 latent root regression; least squares approximations;
                 perturbation techniques; perturbed degenerate matrix;
                 perturbed null vectors; total least squares",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Stewart:1984:RD,
  author =       "G. W. Stewart",
  title =        "Rank Degeneracy",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "5",
  number =       "2",
  pages =        "403--413",
  month =        jun,
  year =         "1984",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0905030",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  MRclass =      "65F25 (65F15)",
  MRnumber =     "85h:65086",
  MRreviewer =   "G. C. Barozzi",
  bibdate =      "Mon Mar 31 09:59:22 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  acknowledgement = ack-nhfb,
  classification = "B0210 (Algebra); C1110 (Algebra)",
  corpsource =   "Computer Sci. Dept., Univ. of Maryland, College Park,
                 MD, USA",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  GWS-number =   "J49",
  journal-URL =  "http://epubs.siam.org/loi/sjoce3",
  keywords =     "errors; matrix algebra; matrix rank; perturbation
                 theory; rank degeneracy",
  onlinedate =   "June 1984",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Stewart:1984:SNU,
  author =       "G. W. Stewart",
  title =        "On the Structure of Nearly Uncoupled {Markov} Chains",
  crossref =     "Iazeolla:1984:MCP",
  pages =        "287--302",
  year =         "1984",
  bibdate =      "Thu May 29 16:31:34 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
  GWS-number =   "N14",
}

@Article{Stewart:1984:SOP,
  author =       "G. W. Stewart",
  title =        "A Second Order Perturbation Expansion for Small
                 Singular Values",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "56",
  number =       "??",
  pages =        "231--235",
  month =        jan,
  year =         "1984",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(84)90128-9",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F20 (15A18)",
  MRnumber =     "85c:65047",
  MRreviewer =   "Ekkehard Wagenf{\"u}hrer",
  bibdate =      "Wed Nov 30 13:49:20 MST 2011",
  bibsource =    "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0024379584901289",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  GWS-number =   "J50",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
  keywords =     "la, svd, pert",
  xxpages =      "231--236",
}

@Article{Trevathan:1984:DAN,
  author =       "Charles E. Trevathan and Thomas D. Taylor and Raymond
                 G. Hartenstein and Ann. C. Merwarth and William N.
                 Stewart",
  title =        "Development and Application of {NASA}'s First Standard
                 Spacecraft Computer",
  journal =      j-CACM,
  volume =       "27",
  number =       "9",
  pages =        "902--913",
  year =         "1984",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Mon Jan 22 07:26:34 MST 2001",
  bibsource =    "http://dblp.uni-trier.de/db/journals/cacm/cacm27.html#TrevathanTHMS84;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1980.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Communications of the ACM",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
  oldlabel =     "TrevathanTHMS84",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/TrevathanTHMS84",
}

@Article{Gill:1985:PRB,
  author =       "P. E. Gill and W. Murray and M. A. Saunders and G. W.
                 Stewart and M. H. Wright",
  title =        "Properties of a Representation of a Basis for the Null
                 Space",
  journal =      j-MATH-PROG,
  volume =       "33",
  pages =        "172--186",
  year =         "1985",
  CODEN =        "MHPGA4",
  ISSN =         "0025-5610",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Programming",
  GWS-number =   "J57",
  journal-URL =  "http://link.springer.com/journal/10107",
}

@Article{OLeary:1985:DFA,
  author =       "Dianne P. O'Leary and G. W. Stewart",
  title =        "Data-flow algorithms for parallel matrix computation",
  journal =      j-CACM,
  volume =       "28",
  number =       "8",
  pages =        "840--853",
  month =        aug,
  year =         "1985",
  CODEN =        "CACMA2",
  DOI =          "https://doi.org/10.1145/4021.4025",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  MRclass =      "65W05 (65Fxx)",
  MRnumber =     "86j:65197",
  bibdate =      "Thu May 30 09:41:10 MDT 1996",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib;
                 http://www.acm.org/pubs/toc/;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1980.bib",
  URL =          "http://www.acm.org/pubs/toc/Abstracts/0001-0782/4025.html",
  abstract =     "In this article we develop some algorithms and tools
                 for solving matrix problems on parallel processing
                 computers. Operations are synchronized through
                 data-flow alone, which makes global synchronization
                 unnecessary and enables the algorithms to be
                 implemented on machines with very simple operating
                 systems and communication protocols. As examples, we
                 present algorithms that form the main modules for
                 solving Liapounov matrix equations. We compare this
                 approach to wave front array processors and systolic
                 arrays, and note its advantages in handling mis-sized
                 problems, in evaluating variations of algorithms or
                 architectures, in moving algorithms from system to
                 system, and in debugging parallel algorithms on
                 sequential machines.",
  acknowledgement = ack-nhfb,
  fjournal =     "Communications of the ACM",
  GWS-number =   "J56",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
  keywords =     "algorithms, nla, prll, eig, Sylvester equation,
                 Cholesky decomposition, matrix equation",
  subject =      "{\bf G.1.0}: Mathematics of Computing, NUMERICAL
                 ANALYSIS, General, Parallel algorithms. {\bf G.1.3}:
                 Mathematics of Computing, NUMERICAL ANALYSIS, Numerical
                 Linear Algebra, Linear systems (direct and iterative
                 methods). {\bf C.1.2}: Computer Systems Organization,
                 PROCESSOR ARCHITECTURES, Multiple Data Stream
                 Architectures (Multiprocessors), Parallel processors.",
  xxpages =      "841--853",
}

@Article{Stewart:1985:JLA,
  author =       "G. W. Stewart",
  title =        "A {Jacobi}-Like Algorithm for Computing the {Schur}
                 Decomposition of a Non-{Hermitian} Matrix",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "6",
  number =       "4",
  pages =        "853--864",
  month =        oct,
  year =         "1985",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0906058",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  MRclass =      "65F15 (65W05)",
  MRnumber =     "86j:65047",
  MRreviewer =   "Cs. J. Heged{\H{u}}s",
  bibdate =      "Mon Mar 31 09:59:35 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  acknowledgement = ack-nhfb,
  classification = "C4130 (Interpolation and function approximation);
                 C4140 (Linear algebra)",
  corpsource =   "Dept. of Comput. Sci., Maryland Univ., College Park,
                 MD, USA",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  GWS-number =   "J55",
  journal-URL =  "http://epubs.siam.org/loi/sjoce3",
  keywords =     "Hermitian matrix; iterative method; iterative methods;
                 Jacobi-like algorithm; matrix algebra; nonHermitian
                 matrix; off-diagonal elements; parallel implementation;
                 parallel processing; plane rotations; Schur
                 decomposition; unitary similarity transformations;
                 upper triangular form",
  mynote =       "Also Maryland Tech. Rep. TR-1321",
  onlinedate =   "October 1985",
  treatment =    "T Theoretical or Mathematical",
  xxpages =      "853--862",
}

@Article{Stewart:1985:NCD,
  author =       "G. W. Stewart",
  title =        "A Note on Complex Division",
  journal =      j-TOMS,
  volume =       "11",
  number =       "3",
  pages =        "238--241",
  month =        sep,
  year =         "1985",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/214408.214414",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Fri Aug 26 23:38:15 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  note =         "See corrigendum \cite{Stewart:1986:CNC} and the faster
                 and more robust algorithm in \cite{Priest:2004:ESC}.",
  URL =          "http://www.acm.org/pubs/citations/journals/toms/1985-11-3/p238-stewart/",
  abstract =     "An algorithm for computing the quotient of two complex
                 numbers is modified to make it more robust in the
                 presence of underflows.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  GWS-number =   "J54",
  journal-URL =  "http://portal.acm.org/toc.cfm?idx=J782",
  keywords =     "algorithms; complex arithmetic; computer arithmetic;
                 na",
  subject =      "{\bf G.1.0}: Mathematics of Computing, NUMERICAL
                 ANALYSIS, General, Numerical algorithms. {\bf G.4}:
                 Mathematics of Computing, MATHEMATICAL SOFTWARE,
                 Reliability and robustness.",
}

@Article{George:1986:P,
  author =       "Alan George and G. W. Stewart and Robert Voigt",
  title =        "Preface",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "77",
  number =       "??",
  pages =        "1--2",
  month =        may,
  year =         "1986",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(86)90158-8",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Wed Nov 30 13:50:06 MST 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0024379586901588",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
}

@Article{OLeary:1986:ASP,
  author =       "Dianne P. O'Leary and G. W. Stewart",
  title =        "Assignment and Scheduling in Parallel Matrix
                 Factorization",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "77",
  number =       "??",
  pages =        "275--299",
  month =        may,
  year =         "1986",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(86)90172-2",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65W05 (65F30)",
  MRnumber =     "837 869",
  bibdate =      "Wed Nov 30 13:50:06 MST 2011",
  bibsource =    "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
  note =         "Special volume on parallel computing.",
  URL =          "http://www.sciencedirect.com/science/article/pii/0024379586901722",
  abstract =     "We consider the problem of factoring a dense $ n
                 \times n $ matrix on a network consisting of $P$ MIMD
                 processors, with no shared memory, when the network is
                 smaller than the number of elements in the matrix ($ P
                 < n^2$). The specific example analyzed is a
                 computational network that arises in computing the $ L
                 U$, $ Q R$, or Cholesky factorizations. We prove that
                 if the nodes of the network are evenly distributed
                 among processors and if computations are scheduled by a
                 round-robin or a least-recently-executed scheduling
                 algorithm, then optimal order of speedup is achieved.
                 However, such speedup is not necessarily achieved for
                 other scheduling algorithms or if the computation for
                 the nodes is inappropriately split across processors,
                 and we give examples of these phenomena. Lower bounds
                 on execution time for the algorithm are established for
                 two important node-assignment strategies.",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  GWS-number =   "J58",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
  keywords =     "nla, prll, lud, Cholesky decomposition, communication,
                 message passing",
  xxpages =      "275--300",
}

@TechReport{OLeary:1986:DMP,
  author =       "Dianne P. O'Leary and G. W. Stewart and Robert van de
                 Geijn",
  title =        "{DOMINO}: a Message Passing Environment for Parallel
                 Computations",
  number =       "TR-1648",
  institution =  inst-CS-U-MARYLAND,
  address =      inst-CS-U-MARYLAND:adr,
  month =        apr,
  year =         "1986",
  bibdate =      "Thu May 29 16:58:30 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
  GWS-number =   "N16",
  keywords =     "Netlib; Oak Ridge National Laboratory (ORNL)",
}

@TechReport{OLeary:1986:MCM,
  author =       "Dianne P. O'Leary and Roger Pierson and G. W. Stewart
                 and Mark Weiser",
  title =        "The {Maryland Crab}: A module for building parallel
                 computers",
  type =         "Technical Report",
  number =       "CS-1660",
  institution =  inst-CS-U-MARYLAND,
  address =      inst-CS-U-MARYLAND:adr,
  year =         "1986",
  bibdate =      "Thu May 29 16:59:46 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  note =         "Also issued as University of Maryland Institute for
                 Advanced Computer Studies Report UMIACS-86-9.",
  acknowledgement = ack-nhfb,
  GWS-number =   "N17",
}

@Article{Stewart:1986:CNC,
  author =       "G. W. Stewart",
  title =        "Corrigendum: ``{A} Note on Complex Division''",
  journal =      j-TOMS,
  volume =       "12",
  number =       "3",
  pages =        "285--285",
  month =        sep,
  year =         "1986",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/7921.356182",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Fri Sep 30 01:17:25 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  note =         "See \cite{Stewart:1985:NCD}.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  GWS-number =   "J54",
  journal-URL =  "http://portal.acm.org/toc.cfm?idx=J782",
}

@InProceedings{Stewart:1986:CPA,
  author =       "G. W. Stewart",
  title =        "Communication in Parallel Algorithms: An Example",
  crossref =     "Boardman:1986:CSS",
  pages =        "11--14",
  year =         "1986",
  bibdate =      "Thu May 29 17:05:41 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
  GWS-number =   "N18",
}

@InProceedings{Stewart:1986:CSR,
  author =       "G. W. Stewart",
  title =        "Collinearity, Scaling, and Rounding Error",
  crossref =     "Allen:1986:CSS",
  pages =        "195--198",
  year =         "1986",
  bibdate =      "Thu May 29 16:56:44 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
  GWS-number =   "N15",
}

@Article{Golub:1987:GEY,
  author =       "G. H. Golub and Alan Hoffman and G. W. Stewart",
  title =        "A Generalization of the {Eckart--Young--Mirsky} Matrix
                 Approximation Theorem",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "88/89",
  number =       "??",
  pages =        "317--327",
  year =         "1987",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(87)90114-5",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "41A45 (15A60 62J05 65F99)",
  MRnumber =     "88f:41039",
  MRreviewer =   "R. A. Lorentz",
  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/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 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/linala1980.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  GWS-number =   "J59",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
  keywords =     "la, matrix approximation",
  mynote =       "Stanford NA-86-35, March 1986 (by GHG and GSW).",
  xxpages =      "317--328",
}

@InProceedings{Higham:1987:NLA,
  author =       "Nicholas J. Higham and G. W. Stewart",
  title =        "Numerical Linear Algebra in Statistical Computing",
  crossref =     "Iserles:1987:SAN",
  pages =        "41--57",
  year =         "1987",
  bibdate =      "Thu May 29 17:14:49 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb # "\slash " # ack-njh,
  GWS-number =   "N19",
  xxpages =      "41--58",
}

@Article{OLeary:1987:DSA,
  author =       "D. P. O'Leary and G. W. Stewart",
  title =        "From Determinacy to Systaltic Arrays",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "C-36",
  number =       "11",
  pages =        "1355--1359",
  month =        nov,
  year =         "1987",
  CODEN =        "ITCOB4",
  DOI =          "https://doi.org/10.1109/TC.1987.5009475",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  bibdate =      "Wed May 28 16:46:19 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1980.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5009475",
  abstract =     "In this paper we extend a model of Karp and Miller for
                 parallel computation. We show that the extended model
                 is deterministic, in the sense that under different
                 scheduling regimes each process in the computation
                 consumes the same input and generates the same output.
                 Moreover, if the computation halts, the final state is
                 independent of scheduling. The model is applied to the
                 generation of precedence graphs, from which lower time
                 bounds may be deduced, and to the synchronization of
                 systolic arrays by local rather than global control.",
  acknowledgement = ack-nhfb,
  author-affiliation = "Department of Computer Science, University of
                 Maryland, College Park, MD 20742.",
  book-DOI =     "https://doi.org/10.1109/TC.1987.5009475",
  fjournal =     "IEEE Transactions on Computers",
  GWS-number =   "J61",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}

@Article{Stewart:1987:CLSa,
  author =       "G. W. Stewart",
  title =        "Collinearity and Least Squares Regression",
  journal =      j-STAT-SCI,
  volume =       "2",
  number =       "1",
  pages =        "68--84",
  month =        feb,
  year =         "1987",
  CODEN =        "STSCEP",
  ISSN =         "0883-4237 (print), 2168-8745 (electronic)",
  ISSN-L =       "0883-4237",
  bibdate =      "Fri May 30 12:48:25 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/statsci.bib",
  URL =          "http://projecteuclid.org/euclid.ss/1177013439",
  acknowledgement = ack-nhfb,
  fjournal =     "Statistical Science",
  GWS-number =   "J60",
  journal-URL =  "http://projecteuclid.org/all/euclid.ss",
  mynote =       "4 comments by other authors and a rejoinder by GSW,
                 pp. 84-100.",
}

@Article{Stewart:1987:CLSb,
  author =       "G. W. Stewart",
  title =        "[{Collinearity} and Least Squares Regression]:
                 Rejoinder",
  journal =      j-STAT-SCI,
  volume =       "2",
  number =       "1",
  pages =        "98--100",
  month =        feb,
  year =         "1987",
  CODEN =        "STSCEP",
  ISSN =         "0883-4237 (print), 2168-8745 (electronic)",
  ISSN-L =       "0883-4237",
  bibdate =      "Fri May 30 12:48:25 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/statsci.bib",
  URL =          "http://projecteuclid.org/euclid.ss/1177013444",
  acknowledgement = ack-nhfb,
  fjournal =     "Statistical Science",
  journal-URL =  "http://projecteuclid.org/all/euclid.ss",
}

@TechReport{Stewart:1987:ISC,
  author =       "G. W. Stewart",
  title =        "Invariant subspaces and capital punishment (a
                 participatory paper)",
  type =         "Technical Report",
  number =       "CS-TR 1923",
  institution =  inst-CS-U-MARYLAND,
  address =      inst-CS-U-MARYLAND:adr,
  pages =        "????",
  year =         "1987",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
  mynote =       "September",
}

@Article{Stewart:1987:PIA,
  author =       "G. W. Stewart",
  title =        "A parallel implementation of the {$ Q R $}-algorithm",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "5",
  number =       "1--2",
  pages =        "187--196",
  month =        jul,
  year =         "1987",
  CODEN =        "PACOEJ",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  MRclass =      "65W05 (65F15)",
  MRnumber =     "88d:65191",
  bibdate =      "Mon Apr 14 12:07:40 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
  note =         "Proceedings of the international conference on vector
                 and parallel computing---issues in applied research and
                 development (Loen, 1986)",
  acknowledgement = ack-nhfb,
  classification = "C4240 (Programming and algorithm theory)",
  conflocation = "Loen, Norway; 2-6 June 1986",
  conftitle =    "International Conference on Vector and Parallel
                 Computing --- Issues in Applied Research and
                 Development",
  corpsource =   "Inst. for Phys. Sci. and Technol., Maryland Univ.,
                 College Park, MD, USA",
  fjournal =     "Parallel Computing",
  GWS-number =   "J62",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191/",
  keywords =     "eigenvalues; Maryland CRAB; nonHermitian matrix;
                 parallel algorithms; parallel implementation;
                 QR-algorithm",
  sponsororg =   "IBM Norway; R. Norwegian Council Sci. and Ind. Res.;
                 AMDAHL; FPS; CRAY",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Stewart:1987:RBC,
  author =       "G. W. Stewart",
  title =        "Review of {{\booktitle{Matrix Computations}}, by Gene
                 H. Golub and Charles F. Van Loan}",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "95",
  number =       "??",
  pages =        "211--215",
  month =        oct,
  year =         "1987",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(87)90036-X",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Wed Nov 30 13:50:37 MST 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/002437958790036X",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
}

@Article{Buell:1988:LEP,
  author =       "D. A. Buell and D. A. Carlson and Yuan-chieh Chow and
                 K. Culik and N. Deo and R. Finkel and E. N. Houstis and
                 E. M. Jacobson and Z. M. Kedem and J. S. Kowalik and P.
                 J. Kuekes and J. L. Martin and G. A. Michael and N. S.
                 Ostlund and J. Potter and D. K. Pradhan and M. J. Quinn
                 and G. W. Stewart and Q. F. Stout and L. Watson and J.
                 Webb",
  title =        "Letter to the {Editor}: Parallel algorithms and
                 architectures: report of a workshop",
  journal =      j-J-SUPERCOMPUTING,
  volume =       "1",
  number =       "3",
  pages =        "301--325",
  month =        apr,
  year =         "1988",
  CODEN =        "JOSUED",
  DOI =          "https://doi.org/10.1007/BF00154341",
  ISSN =         "0920-8542 (print), 1573-0484 (electronic)",
  ISSN-L =       "0920-8542",
  bibdate =      "Wed Jul 6 11:12:58 MDT 2005",
  bibsource =    "ftp://ftp.ira.uka.de/pub/Parallel/JOURNAL.SUPER.bib;
                 http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0920-8542&volume=1&issue=3;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/jsuper.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0920-8542&volume=1&issue=3&spage=301",
  acknowledgement = ack-nhfb,
  classification = "C4100 (Numerical analysis); C4240 (Programming and
                 algorithm theory); C5220 (Computer architecture)",
  fjournal =     "The Journal of Supercomputing",
  GWS-number =   "N20",
  journal-URL =  "http://link.springer.com/journal/11227",
  keywords =     "algorithm design; architectural design; computing
                 power; experimental environment; high-level
                 descriptions; language; massive speedup; notations;
                 parallel algorithms; parallel architectures;
                 parallelism; program compilers; prototypes; scientific
                 data; supercomputer architectures; translation",
  treatment =    "P Practical",
}

@Article{Golub:1988:GEY,
  author =       "G. H. Golub and A. Hoffman and G. W. Stewart",
  title =        "A Generalization of the {Eckart--Young--Mirsky}
                 Approximation Theorem",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "88/89",
  pages =        "317--328",
  year =         "1988",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/gvl.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Meyer:1988:DPE,
  author =       "Carl D. Meyer and G. W. Stewart",
  title =        "Derivatives and Perturbations of Eigenvectors",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "25",
  number =       "3",
  pages =        "679--691",
  month =        jun,
  year =         "1988",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65F15 (15A22 60J10)",
  MRnumber =     "89g:65043",
  MRreviewer =   "Ludwig Elsner",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  GWS-number =   "J64",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@Article{Stewart:1988:CCR,
  author =       "G. W. Stewart",
  title =        "A Curiosity Concerning the Representation of Integers
                 in Noninteger Bases",
  journal =      j-MATH-COMPUT,
  volume =       "51",
  number =       "184",
  pages =        "755--756",
  month =        oct,
  year =         "1988",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.2307/2008775",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "11A63",
  MRnumber =     "89c:11017",
  MRreviewer =   "Graham Lord",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
                 JSTOR database; Theory/Matrix.bib",
  URL =          "http://zbmath.org/?q=an:0699.10020",
  ZMnumber =     "0699.10020",
  acknowledgement = ack-nhfb,
  classcodes =   "C1160 (Combinatorial mathematics); C5230 (Digital
                 arithmetic methods)",
  corpsource =   "Maryland Univ., College Park, MD, USA",
  fjournal =     "Mathematics of Computation",
  GWS-number =   "J63",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "digital arithmetic; digits; integers representation;
                 noninteger bases; number theory",
  kwds =         "math, number theory",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Stewart:1988:PLA,
  author =       "G. W. Stewart",
  title =        "Parallel Linear Algebra in Statistical Computing",
  crossref =     "Edwards:1988:CPC",
  pages =        "3--14",
  year =         "1988",
  bibdate =      "Thu May 29 17:39:56 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
  GWS-number =   "N21",
}

@Article{Tomayko:1988:AOT,
  author =       "James E. Tomayko and Henry S. Tropp and W. Buchholz
                 and Grace Murray Hopper and C. Strachey and Eric A.
                 Weiss and Robert M. Stewart and Bernard A. Galler",
  title =        "Anecdotes: Origin of the Term Bit; Origin of the Word
                 Byte; The First Bug; Whence the ``Bug''; An Impossible
                 Program; Reminiscences of {Los Alamos}; {Los Alamos}
                 from Below; {Jonathan Swift}'s Computing Invention;
                 Debugging",
  journal =      j-ANN-HIST-COMPUT,
  volume =       "10",
  number =       "4",
  pages =        "336--348",
  month =        oct # "\slash " # dec,
  year =         "1988",
  CODEN =        "AHCOE5",
  ISSN =         "0164-1239",
  bibdate =      "Fri Nov 1 15:29:13 MST 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/annhistcomput.bib",
  URL =          "http://dlib.computer.org/an/books/an1988/pdf/a4336.pdf;
                 http://www.computer.org/annals/an1988/a4336abs.htm",
  acknowledgement = ack-nhfb,
  fjournal =     "Annals of the History of Computing",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5488650",
}

@InProceedings{OLeary:1989:DTO,
  author =       "Diane P. O'Leary and G. W. Stewart and Robert van de
                 Geijn",
  title =        "{DOMINO}: A Transportable Operating System for
                 Parallel Computation",
  crossref =     "Wouk:1989:PPM",
  pages =        "25--34",
  year =         "1989",
  bibdate =      "Thu May 29 18:08:12 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
  GWS-number =   "N22",
}

@InCollection{Saltzman:1989:IIP,
  author =       "M. J. Saltzman and R. Subramaniam and R. E. Marsten",
  title =        "Implementing an interior point {LP} algorithm on a
                 supercomputer",
  crossref =     "Sharda:1989:IRC",
  pages =        "158--168",
  year =         "1989",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
}

@Article{Stenbakken:1989:AGT,
  author =       "G. N. Stenbakken and T. M. Souders and G. W. Stewart",
  title =        "Ambiguity groups and testability",
  journal =      j-IEEE-TRANS-INSTRUM-MEAS,
  volume =       "38",
  number =       "5",
  pages =        "941--947",
  month =        "????",
  year =         "1989",
  CODEN =        "IEIMAO",
  DOI =          "https://doi.org/10.1109/19.39034",
  ISSN =         "0018-9456 (print), 1557-9662 (electronic)",
  ISSN-L =       "0018-9456",
  bibdate =      "Wed May 28 16:46:19 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=39034",
  acknowledgement = ack-nhfb,
  author-affiliation = "Nat. Inst. of Stand. \& Technol., Gaithersburg,
                 MD, USA",
  book-DOI =     "https://doi.org/10.1109/19.39034",
  fjournal =     "IEEE Transactions on Instrumentation and Measurement",
  GWS-number =   "J66",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=19",
}

@Article{Stewart:1989:SPP,
  author =       "G. W. Stewart",
  title =        "On Scaled Projections and Pseudo-Inverses",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "112",
  number =       "??",
  pages =        "189--193",
  month =        jan,
  year =         "1989",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(89)90594-6",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "15A09",
  MRnumber =     "90d:15005",
  MRreviewer =   "J. Segethov{\'a}",
  bibdate =      "Wed Nov 30 13:51:07 MST 2011",
  bibsource =    "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
  note =         "See answer \cite{OLeary:1990:BSP} to a question raised
                 in this paper.",
  URL =          "http://www.sciencedirect.com/science/article/pii/0024379589905946",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  GWS-number =   "J65",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
  keywords =     "la, projection, ginv",
  xxpages =      "189--194",
}

@Article{OLeary:1990:CEE,
  author =       "D. P. O'Leary and G. W. Stewart",
  title =        "Computing the Eigenvalues and Eigenvectors of
                 Symmetric Arrowhead Matrices",
  journal =      j-J-COMPUT-PHYS,
  volume =       "90",
  number =       "2",
  pages =        "497--505",
  month =        oct,
  year =         "1990",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(90)90177-3",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Mon Jan 2 07:55:44 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999190901773",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  GWS-number =   "J67",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}

@Article{Stewart:1990:CMC,
  author =       "G. W. Stewart",
  title =        "Communication and matrix computations on large message
                 passing systems",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "16",
  number =       "1",
  pages =        "27--40",
  month =        nov,
  year =         "1990",
  CODEN =        "PACOEJ",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  bibdate =      "Mon Apr 14 11:08:33 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
  acknowledgement = ack-nhfb,
  classification = "C4140 (Linear algebra); C5230 (Digital arithmetic
                 methods); C7310 (Mathematics)",
  corpsource =   "Dept. of Comput. Sci., Maryland Univ., College Park,
                 MD, USA",
  fjournal =     "Parallel Computing",
  GWS-number =   "J68",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191/",
  keywords =     "communication; digital arithmetic; fine; floating
                 point operations; grain communication; large message
                 passing; mathematics computing; matrix algebra; matrix
                 algorithms; matrix computations; systems",
  treatment =    "P Practical",
}

@TechReport{Stewart:1990:ICC,
  author =       "G. W. Stewart",
  title =        "Incremental condition calculation and column
                 selection",
  type =         "Technical Report",
  number =       "CS-TR 2495",
  institution =  inst-CS-U-MARYLAND,
  address =      inst-CS-U-MARYLAND:adr,
  pages =        "????",
  year =         "1990",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
  mynote =       "July",
}

@InProceedings{Stewart:1990:IMS,
  author =       "G. W. (Pete) Stewart",
  title =        "An iterative method for solving linear inequalities",
  crossref =     "Cox:1990:RNC",
  pages =        "241--247",
  year =         "1990",
  MRnumber =     "65K05 65F10 15A39 90C05",
  bibdate =      "Tue Nov 2 19:30:33 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana1990.bib",
  URL =          "http://zbmath.org/?q=an:0234.68003",
  ZMnumber =     "0721.65033",
  acknowledgement = ack-nhfb,
  GWS-number =   "N23",
  mynote =       "Maryland TR-1833, April 1987",
}

@Book{Stewart:1990:MPT,
  author =       "Gilbert Wright (Gilbert W.) Stewart and {Ji-guang}
                 Sun",
  title =        "Matrix Perturbation Theory",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "xv + 365",
  year =         "1990",
  ISBN =         "0-12-670230-6 (hardcover)",
  ISBN-13 =      "978-0-12-670230-9 (hardcover)",
  LCCN =         "QA871 .S775 1990",
  bibdate =      "Thu May 29 07:15:52 MDT 2014",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana1990.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Computer science and scientific computing",
  URL =          "http://catalog.hathitrust.org/api/volumes/oclc/21227976.html;
                 http://www.loc.gov/catdir/description/els032/90033378.htm;
                 http://www.loc.gov/catdir/description/els032/90033378.html;
                 http://www.loc.gov/catdir/toc/els031/90033378.htm;
                 http://www.loc.gov/catdir/toc/els031/90033378.html",
  acknowledgement = ack-nhfb,
  GWS-number =   "B3",
  subject =      "Perturbation (Mathematics); Matrices",
  tableofcontents = "I. Preliminaries \\
                 1. Notation \\
                 2. The $QR$ decomposition \\
                 projections \\
                 3. Eigenvalues and eigenvectors \\
                 4. The singular value decomposition \\
                 II. Norms and metrics \\
                 1. Vector norms \\
                 2. Matrix norms \\
                 3. Unitarily invariant norms \\
                 4. Metrics on subspaces of C'n' \\
                 III. Linear systems and least squares problems \\
                 1. The pseudo-inverse and least squares \\
                 2. Inverses and linear systems \\
                 3. The pseudo-inverse \\
                 4. Projections \\
                 5. The Linear least squares problem \\
                 IV. The perturbation of Eigenvalues \\
                 1. General perturbation theorems \\
                 2. Gerschgorin theory: differentiability \\
                 3. Normal and diagonalizable matrices \\
                 4. Hermitian matrices \\
                 5. Some further results \\
                 V. Invariant subspaces \\
                 1. The theory of simple invariant subspaces \\
                 2. Perturbation of invariant subspaces \\
                 3. Hermitian matrices \\
                 4. The singular value decomposition \\
                 VI. Generalized Eigenvalue problems \\
                 1. Background \\
                 2. Regular matrix pairs \\
                 3. Definite matrix pairs \\
                 References \\
                 Notation \\
                 Index",
}

@InProceedings{Stewart:1990:PTL,
  author =       "G. W. Stewart",
  title =        "Perturbation theory and least squares with errors in
                 the variables",
  crossref =     "Brown:1990:SAM",
  pages =        "171--181",
  year =         "1990",
  DOI =          "https://doi.org/10.1090/conm/112/1087108",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
  book-URL =     "http://www.ams.org/conm/112/",
  GWS-number =   "N24",
}

@TechReport{Stewart:1990:PTS,
  author =       "G. W. Stewart",
  title =        "Perturbation theory for the singular value
                 decomposition",
  type =         "Technical Report",
  number =       "CS-TR 2539",
  institution =  inst-CS-U-MARYLAND,
  address =      inst-CS-U-MARYLAND:adr,
  pages =        "????",
  year =         "1990",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
  mynote =       "Sept",
}

@InProceedings{Stewart:1990:SNU,
  author =       "G. W. Stewart",
  title =        "On the Sensitivity of Nearly Uncoupled {Markov}
                 Chains",
  crossref =     "Stewart:1990:NSM",
  pages =        "105--119",
  year =         "1990",
  bibdate =      "Thu May 29 18:15:40 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
  GWS-number =   "N25",
}

@Article{Stewart:1990:SPT,
  author =       "G. W. Stewart",
  title =        "Stochastic Perturbation Theory",
  journal =      j-SIAM-REVIEW,
  volume =       "32",
  number =       "4",
  pages =        "579--610",
  month =        dec,
  year =         "1990",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1032121",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "15A06 (15A09 15A12 15A18 15A52 15A60)",
  MRnumber =     "91m:15007",
  MRreviewer =   "James Weldon Demmel",
  bibdate =      "Sat Mar 29 09:54:48 MDT 2014",
  bibsource =    "Compendex database;
                 http://epubs.siam.org/toc/siread/32/4;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  abstract =     "In this paper classical matrix perturbation theory is
                 approached from a probabilistic point of view. The
                 perturbed quantity is approximated by a first-order
                 perturbation expansion, in which the perturbation is
                 assumed to be random. This permits the computation of
                 statistics estimating the variation in the perturbed
                 quantity. Up to the higher-order terms that are ignored
                 in the expansion, these statistics tend to be more
                 realistic than perturbation bounds obtained in terms of
                 norms. The technique is applied to a number of problems
                 in matrix perturbation theory, including least squares
                 and the eigenvalue problem.",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ of Maryland",
  affiliationaddress = "College Park, MD, USA",
  classification = "921; 922",
  fjournal =     "SIAM Review",
  GWS-number =   "J69",
  journal-URL =  "http://epubs.siam.org/sirev",
  journalabr =   "SIAM Rev",
  keywords =     "Mathematical Techniques; Perturbation Techniques;
                 Probability --- Random Processes; Stochastic
                 Perturbation Theory",
  mynote =       "Maryland CS-TR-2129, October 88",
  onlinedate =   "December 1990",
}

@TechReport{Stewart:1990:UAS,
  author =       "G. W. Stewart",
  title =        "An updating algorithm for subspace tracking",
  type =         "Technical Report",
  number =       "CS-TR 2494",
  institution =  inst-CS-U-MARYLAND,
  address =      inst-CS-U-MARYLAND:adr,
  pages =        "????",
  year =         "1990",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  note =         "revised January 1991",
  acknowledgement = ack-nhfb,
}

@TechReport{Adams:1991:DAEa,
  author =       "G. Adams and M. F. Griffin and G. W. Stewart",
  title =        "Direction-of-arrival estimation using the
                 rank-revealing {$ U R V $} decomposition",
  type =         "Technical Report",
  number =       "CS-TR 2640",
  institution =  inst-CS-U-MARYLAND,
  address =      inst-CS-U-MARYLAND:adr,
  pages =        "????",
  year =         "1991",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
  mynote =       "March",
}

@InProceedings{Adams:1991:DAEb,
  author =       "G. Adams and M. F. Griffin and G. W. Stewart",
  title =        "Direction-of-arrival estimation using the
                 rank-revealing {$ U R V $} decomposition",
  crossref =     "IEEE:1991:ICA",
  pages =        "1385--1388 (vol. 2)",
  year =         "1991",
  DOI =          "https://doi.org/10.1109/ICASSP.1991.150681",
  bibdate =      "Wed May 28 16:46:19 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=150681",
  acknowledgement = ack-nhfb,
  author-affiliation = "United Technol. Res. Center, East Hartford, CT,
                 USA",
  book-DOI =     "https://doi.org/10.1109/ICASSP.1991.150681",
  GWS-number =   "N27",
}

@InProceedings{Griffin:1991:UMR,
  author =       "M. F. Griffin and G. W. Stewart",
  title =        "Updating {MUSIC} and root-{MUSIC} with the
                 rank-revealing {$ U R V $} decomposition",
  crossref =     "Chen:1991:CRT",
  pages =        "277--281 (vol. 1)",
  year =         "1991",
  DOI =          "https://doi.org/10.1109/ACSSC.1991.186456",
  bibdate =      "Wed May 28 16:46:19 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=186456",
  acknowledgement = ack-nhfb,
  author-affiliation = "Advanced Digital Systems, East Hartford, CT,
                 USA",
  book-DOI =     "https://doi.org/10.1109/ACSSC.1991.186456",
}

@TechReport{Stewart:1991:ARR,
  author =       "G. W. Stewart",
  title =        "On an algorithm for refining a rank-revealing {$ U R V
                 $} factorization and a perturbation theorem for
                 singular values",
  type =         "Technical Report",
  number =       "CS-TR 2626",
  institution =  inst-CS-U-MARYLAND,
  address =      inst-CS-U-MARYLAND:adr,
  pages =        "????",
  year =         "1991",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
  mynote =       "March",
}

@Article{Stewart:1991:DMS,
  author =       "G. W. Stewart and G. Zhang",
  title =        "On a Direct Method for the Solution of Nearly
                 Uncoupled {Markov} Chains",
  journal =      j-NUM-MATH,
  volume =       "59",
  number =       "1",
  pages =        "1--11",
  month =        apr,
  year =         "1991",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65F05 (60J10 65G05)",
  MRnumber =     "92i:65062",
  MRreviewer =   "Ching-Tsuan Pan",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib;
                 Theory/Matrix.bib",
  acknowledgement = ack-nhfb,
  classification = "B0240Z (Other and miscellaneous); C1140Z (Other and
                 miscellaneous)",
  corpsource =   "Dept. of Comput. Sci., Maryland Univ., College Park,
                 MD, USA",
  fjournal =     "Numerische Mathematik",
  GWS-number =   "J72",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "diagonal pivoting; direct method; LDU; LU
                 decomposition; Markov chain; Markov processes; nearly
                 uncoupled Markov chains; nearly uncoupled system; nla;
                 plain Gaussian elimination; rounding errors",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Stewart:1991:EGM,
  author =       "G. W. Stewart and G. Zhang",
  title =        "Eigenvalues of Graded Matrices and the Condition
                 Numbers of a Multiple Eigenvalue",
  journal =      j-NUM-MATH,
  volume =       "58",
  number =       "7",
  pages =        "703--712",
  month =        feb,
  year =         "1991",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65F15",
  MRnumber =     "92a:65121",
  MRreviewer =   "Assem Deif",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib;
                 Theory/Matrix.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
  corpsource =   "Inst. for Adv. Comput. Studies, Maryland Univ.,
                 College Park, MD, USA",
  fjournal =     "Numerische Mathematik",
  GWS-number =   "J71",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "canonical angles; condition numbers; eigenvalues;
                 eigenvalues and eigenfunctions; graded matrices; graded
                 structure; la; matrix algebra; multiple eigenvalue;
                 pert; perturbations",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Stewart:1991:FFT,
  author =       "G. W. Stewart",
  title =        "{FTP} --- File Transfer Program",
  journal =      j-SIGNUM,
  volume =       "26",
  number =       "4",
  pages =        "2--3",
  month =        oct,
  year =         "1991",
  CODEN =        "SNEWD6",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  ISSN-L =       "0163-5778",
  bibdate =      "Tue Apr 12 07:50:21 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/signum.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM SIGNUM Newsletter",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J690",
  mynote =       "Same as \cite{Stewart:1991:FTR} I think, but different
                 title!",
}

@Article{Stewart:1991:FTR,
  author =       "G. W. Stewart",
  title =        "{FTPing} Technical Reports",
  journal =      j-NA-DIGEST,
  volume =       "91",
  number =       "39",
  pages =        "??--??",
  year =         "1991",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  note =         "Electronic mail magazine:
                 \path|na.[email protected]|",
  acknowledgement = ack-nhfb,
  fjournal =     "NA Digest",
  mynote =       "Sunday, September 29, 1991",
}

@Article{Stewart:1991:JGP,
  author =       "G. W. Stewart",
  title =        "{Jeep}: A General Purpose Style File",
  journal =      j-TEX-TUG-NEWS,
  volume =       "0",
  number =       "0",
  pages =        "3--4",
  month =        "????",
  year =         "1991",
  ISSN =         "1065-240X",
  bibdate =      "Thu May 29 18:19:23 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  URL =          "http://tug.ctan.org/tex-archive/digests/ttn/ttn0n0.tex",
  acknowledgement = ack-nhfb,
  fjournal =     "{\TeX} and TUG News",
  GWS-number =   "N28",
}

@TechReport{Stewart:1991:LLS,
  author =       "G. W. Stewart",
  title =        "{Lanczos} and linear systems",
  type =         "Technical Report",
  number =       "CS-TR 2641",
  institution =  inst-CS-U-MARYLAND,
  address =      inst-CS-U-MARYLAND:adr,
  pages =        "????",
  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/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
  mynote =       "March",
}

@InProceedings{Stewart:1991:PTS,
  author =       "G. W. Stewart",
  title =        "Perturbation Theory for the Singular Value
                 Decomposition",
  crossref =     "Vaccaro:1991:SSP",
  pages =        "99--109",
  year =         "1991",
  bibdate =      "Thu May 29 18:17:42 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
  GWS-number =   "N26",
}

@Article{Stewart:1991:TSR,
  author =       "G. W. Stewart",
  title =        "Two Simple Residual Bounds for the Eigenvalues of a
                 {Hermitian} Matrix",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "12",
  number =       "2",
  pages =        "205--208",
  month =        apr,
  year =         "1991",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "15A18 (15A42)",
  MRnumber =     "92j:15007",
  bibdate =      "Tue Jan 21 08:54:30 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  GWS-number =   "J70",
  journal-URL =  "http://epubs.siam.org/simax",
  mynote =       "CS-TR-2364, Dec 89",
}

@TechReport{Bai:1992:SFS,
  author =       "Zhaojun Bai and G. W. Stewart",
  title =        "{SRRIT} --- A {FORTRAN} subroutine to Calculate the
                 Dominant Invariant Subspace of a Nonsymmetric Matrix",
  type =         "Technical Report",
  number =       "CS-TR-2908",
  institution =  inst-U-MARYLAND,
  address =      inst-U-MARYLAND:adr,
  pages =        "25",
  month =        may,
  year =         "1992",
  bibdate =      "Sat Jan 27 13:40:57 MST 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/fortran3.bib;
                 https://www.math.utah.edu/pub/tex/bib/other/g-w-stewart.bib;
                 Theory/Matrix.bib",
  note =         "Also issued as University of Maryland Institute for
                 Advanced Computer Studies UMIACS report TR-92-61",
  abstract =     "SRRIT is a FORTRAN program to calculate an approximate
                 orthonormal basis for a dominant invariant subspace of
                 a real matrix A by the method of simultaneous iteration
                 [12]. Specifically, given an integer m, SRRIT attempts
                 to compute a matrix Q with m orthonormal columns and
                 real quasi-triangular matrix T of order m such that the
                 equation AQ=QT is satisfied up to a tolerance specified
                 by the user. The eigenvalues of T are approximations to
                 the m largest eigenvalues of A, and the columns of Q
                 span the invariant subspace corresponding to those
                 eigenvalues. SRRIT references A only through a user
                 provided subroutine to form the product AQ; hence it is
                 suitable for large sparse problems.",
  acknowledgement = ack-nhfb,
  keywords =     "Matrices.; {Fortran} (Computer program language)",
  kwds =         "nla, eig, subspace iteration, nonsymmetric matrix",
}

@InProceedings{Griffin:1992:MNU,
  author =       "M. F. Griffin and E. C. Boman and G. W. Stewart",
  editor =       "{IEEE}",
  title =        "Minimum-norm updating with the rank-revealing {$ U R V
                 $} decomposition",
  crossref =     "IEEE:1992:III",
  pages =        "293--296 (vol. 5)",
  year =         "1992",
  DOI =          "https://doi.org/10.1109/ICASSP.1992.226625",
  bibdate =      "Wed May 28 16:46:19 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=226625",
  acknowledgement = ack-nhfb,
  author-affiliation = "United Technologies Res. Center, East Hartford,
                 CT, USA",
  book-DOI =     "https://doi.org/10.1109/ICASSP.1992.226625",
  GWS-number =   "N29",
}

@Article{Stewart:1992:EAQ,
  author =       "G. W. Stewart",
  title =        "Error Analysis of {$ Q R $} Updating with Exponential
                 Windowing",
  journal =      j-MATH-COMPUT,
  volume =       "59",
  number =       "199",
  pages =        "135--140",
  month =        jul,
  year =         "1992",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65F25 (65G05)",
  MRnumber =     "92k:65074",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib;
                 JSTOR 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., Maryland Univ., College Park,
                 MD, USA",
  fjournal =     "Mathematics of Computation",
  GWS-number =   "J74",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "algebra; algorithm; convergence of numerical methods;
                 data; error analysis; exponential windowing; forgetting
                 factor; matrix; new data; old; OR updating; QR
                 factorization; rounding errors; unconditionally stable;
                 updating",
  kwds =         "nla, updating, qrd, rounding error",
  mynote =       "Maryland CS-TR 2685, May 1991.",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{Stewart:1992:NGS,
  author =       "G. W. Stewart",
  title =        "Note on a Generalized {Sylvester} Equation",
  type =         "IMA Preprint Series",
  number =       "\#985",
  institution =  inst-IMA,
  address =      inst-IMA:adr,
  pages =        "3",
  month =        may,
  year =         "1992",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
}

@Article{Stewart:1992:UAS,
  author =       "G. W. Stewart",
  title =        "An updating algorithm for subspace tracking",
  journal =      j-IEEE-TRANS-SIG-PROC,
  volume =       "40",
  number =       "6",
  pages =        "1535--1541",
  month =        "????",
  year =         "1992",
  CODEN =        "ITPRED",
  DOI =          "https://doi.org/10.1109/78.139256",
  ISSN =         "1053-587X (print), 1941-0476 (electronic)",
  ISSN-L =       "1053-587X",
  bibdate =      "Wed May 28 16:46:19 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=139256",
  acknowledgement = ack-nhfb,
  author-affiliation = "Dept. of Comput. Sci., Maryland Univ., College
                 Park, MD, USA",
  book-DOI =     "https://doi.org/10.1109/78.139256",
  fjournal =     "IEEE Transactions on Signal Processing",
  GWS-number =   "J73",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78",
}

@Article{Edelman:1993:SO,
  author =       "Alan Edelman and G. W. Stewart",
  title =        "Scaling for Orthogonality",
  journal =      j-IEEE-TRANS-SIG-PROC,
  volume =       "41",
  number =       "4",
  pages =        "1676--1677",
  month =        "????",
  year =         "1993",
  CODEN =        "ITPRED",
  DOI =          "https://doi.org/10.1109/78.212741",
  ISSN =         "1053-587X (print), 1941-0476 (electronic)",
  ISSN-L =       "1053-587X",
  bibdate =      "Wed May 28 16:46:19 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=212741",
  acknowledgement = ack-nhfb,
  author-affiliation = "Dept. of Math., California Univ., Berkeley, CA,
                 USA",
  book-DOI =     "https://doi.org/10.1109/78.212741",
  fjournal =     "IEEE Transactions on Signal Processing",
  GWS-number =   "J81",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78",
}

@InProceedings{Liu:1993:AEB,
  author =       "K. J. R. Liu and D. P. O'Leary and G. W. Stewart and
                 Y.-J. J. Wu",
  title =        "An adaptive {ESPRIT} based on {$ U R V $}
                 decomposition",
  crossref =     "IEEE:2002:IIC",
  pages =        "37--40 (vol. 4)",
  year =         "1993",
  DOI =          "https://doi.org/10.1109/ICASSP.1993.319588",
  bibdate =      "Wed May 28 16:46:19 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=319588",
  abstract =     "ESPRIT is an algorithm for determining the fixed
                 directions of arrival of a set of narrow-band signals
                 at an array of sensors. Its computational burden makes
                 it unsuitable for real-time processing of signals with
                 time-varying directions of arrival. The authors develop
                 a new implementation of ESPRIT that has potential for
                 real-time processing. It is based on a rank-revealing
                 URV decomposition, rather than the eigendecomposition
                 or singular value decomposition (SVD) used in previous
                 ESPRIT algorithms. Its performance is demonstrated on
                 simulated data representing both constant and
                 time-varying signals. It is shown that the URV-based
                 ESPRIT algorithm is effective for estimating
                 time-varying directions-of-arrival at considerable
                 computational savings over the SVD-based algorithm.",
  acknowledgement = ack-nhfb,
  author-affiliation = "Maryland Univ., College Park, MD, USA",
  book-DOI =     "https://doi.org/10.1109/ICASSP.1993.319588",
  book-isbn =    "0-7803-7402-9",
  keywords =     ", systems; adaptive, processing; algorithm; array,
                 complexity; array, of, processing; computational,
                 savings; computational, signal, systems; parameter,
                 decomposition; performance; rank-revealing, sensors;
                 real-time, ESPRIT, estimation; real-time, filters;
                 time-varying, URV, URV-based",
}

@Article{Mathias:1993:BAS,
  author =       "R. Mathias and G. W. Stewart",
  title =        "A Block {$ Q R $} Algorithm and the Singular Value
                 Decomposition",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "182",
  pages =        "91--100",
  day =          "15",
  month =        mar,
  year =         "1993",
  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/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1990.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  GWS-number =   "J75",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
  keywords =     "la, nla. pert, svd, QR algorithm",
}

@Article{Mathias:1993:BQA,
  author =       "R. Mathias and G. W. Stewart",
  title =        "A Block {$ Q R $} Algorithm and the Singular Value
                 Decomposition",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "188",
  pages =        "91--100",
  year =         "1993",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Schweitzer:1993:LEP,
  author =       "Paul J. Schweitzer and G. W. Stewart",
  title =        "The {Laurent} Expansion of Pencils That Are Singular
                 at the Origin",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "183",
  pages =        "237--254",
  day =          "1",
  month =        apr,
  year =         "1993",
  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/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1990.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  GWS-number =   "J76",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
  keywords =     "nla, gieg, Laurent expansion, Kronecker form, rank
                 determination",
}

@Article{Stewart:1993:ASH,
  author =       "G. W. Stewart",
  title =        "{Alston Scott Householder} (1904--1993)",
  journal =      j-SIAM-NEWS,
  volume =       "26",
  number =       "??",
  pages =        "??--??",
  month =        oct,
  year =         "1993",
  ISSN =         "0036-1437",
  ISSN-L =       "0036-1437",
  bibdate =      "Thu Dec 20 09:47:38 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  URL =          "http://archive.is/20130115033809/http://sites.uclouvain.be/HHXIX/AlstonHouseholder/#selection-215.0-215.36",
  acknowledgement = ack-nhfb,
}

@Article{Stewart:1993:BRB,
  author =       "G. W. Stewart",
  title =        "Book Review: {{\booktitle{Topics in Matrix Analysis}}
                 (Roger A. Horn and Charles R. Johnson)}",
  journal =      j-SIAM-REVIEW,
  volume =       "35",
  number =       "1",
  pages =        "168--169",
  month =        mar,
  year =         "1993",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1035037",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:55:09 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/35/1;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.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 =   "March 1993",
}

@InProceedings{Stewart:1993:DRP,
  author =       "G. W. Stewart",
  title =        "Determining Rank in the Presence of Error",
  crossref =     "Moonen:1993:LAL",
  pages =        "275--291",
  year =         "1993",
  bibdate =      "Thu May 29 18:44:24 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
  GWS-number =   "N32",
}

@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/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.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",
  GWS-number =   "J79",
  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",
  mynote =       "Maryland CS-TR 2855, March 92",
  onlinedate =   "December 1993",
  remark =       "See page 556 for Lanczos's contributions to the SVD.",
}

@InProceedings{Stewart:1993:GEP,
  author =       "G. W. Stewart",
  title =        "{Gaussian} Elimination, Perturbation Theory, and
                 {Markov} Chains",
  crossref =     "Meyer:1993:LAM",
  pages =        "59--69",
  year =         "1993",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
  GWS-number =   "N31",
}

@Article{Stewart:1993:PCF,
  author =       "G. W. Stewart",
  title =        "On the Perturbation of {$ L U $}, {Cholesky}, and {$ Q
                 R $} Factorizations",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "14",
  number =       "4",
  pages =        "1141--1145",
  month =        oct,
  year =         "1993",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "15A18 (65F35)",
  MRnumber =     "94i:15007",
  MRreviewer =   "Thomas L. Markham",
  bibdate =      "Tue Jan 21 08:54:30 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  GWS-number =   "J78",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Stewart:1993:PMC,
  author =       "G. W. Stewart",
  title =        "On the perturbation of {Markov} chains with nearly
                 transient states",
  journal =      j-NUM-MATH,
  volume =       "65",
  number =       "1",
  pages =        "135--141",
  month =        may,
  year =         "1993",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "15A51 (60J10 65J10)",
  MRnumber =     "94d:15021",
  bibdate =      "Thu Jan 23 07:49:52 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  GWS-number =   "J80",
  journal-URL =  "http://link.springer.com/journal/211",
}

@Article{Stewart:1993:URR,
  author =       "G. W. Stewart",
  title =        "Updating a Rank-Revealing {$ U L V $} Decomposition",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "14",
  number =       "2",
  pages =        "494--499",
  month =        apr,
  year =         "1993",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F05",
  MRnumber =     "93m:65039",
  bibdate =      "Tue Jan 21 08:54:30 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  GWS-number =   "J77",
  journal-URL =  "http://epubs.siam.org/simax",
  mynote =       "Maryland CS-TR 2627, March 1991",
}

@Article{Liu:1994:UET,
  author =       "K. J. R. Liu and D. P. O'Leary and G. W. Stewart and
                 Y.-J. J. Wu",
  title =        "{$ U R V $} {ESPRIT} for tracking time-varying
                 signals",
  journal =      j-IEEE-TRANS-SIG-PROC,
  volume =       "42",
  number =       "12",
  pages =        "3441--3448",
  month =        "????",
  year =         "1994",
  CODEN =        "ITPRED",
  DOI =          "https://doi.org/10.1109/78.340778",
  ISSN =         "1053-587X (print), 1941-0476 (electronic)",
  ISSN-L =       "1053-587X",
  bibdate =      "Wed May 28 16:46:19 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=340778",
  abstract =     "ESPRIT is an algorithm for determining the fixed
                 directions of arrival of a set of narrow-band signals
                 at an array of sensors. Unfortunately, its
                 computational burden makes it unsuitable for real time
                 processing of signals with time-varying directions of
                 arrival. The authors develop a new implementation of
                 ESPRIT that has potential for real time processing. It
                 is based on a rank-revealing URV decomposition, rather
                 than the eigendecomposition or singular value
                 decomposition used in previous ESPRIT algorithms. The
                 authors demonstrate its performance on simulated data
                 representing both constant and time-varying signals.
                 They find that the URV-based ESPRIT algorithm is
                 effective for estimating time-varying
                 directions-of-arrival at considerable computational
                 savings over the SVD-based algorithm",
  acknowledgement = ack-nhfb,
  author-affiliation = "Dept. of Electr. Eng., Maryland Univ., College
                 Park, MD, USA",
  book-DOI =     "https://doi.org/10.1109/78.340778",
  fjournal =     "IEEE Transactions on Signal Processing",
  GWS-number =   "J85",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78",
  keywords =     "arrival; direction-of-arrival, systems; fixed,
                 estimation; narrow-band, decomposition; performance;
                 rank-revealing, signals; real, directions, ESPRIT;
                 real-time, of, processing; TIME, URV; time-varying,
                 signals; time-varying, systems; tracking",
}

@Article{Stewart:1994:CMI,
  author =       "G. W. Stewart",
  title =        "On the Convergence of Multipoint Iterations",
  journal =      j-NUM-MATH,
  volume =       "68",
  number =       "1",
  pages =        "143--147",
  month =        jun,
  year =         "1994",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65H05",
  MRnumber =     "95a:65088",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  URL =          "http://link.springer.de/link/service/journals/00211/bibs/4068001/40680143.htm;
                 http://science.springer.de/nmee/bibs/4068001/40680143.htm",
  acknowledgement = ack-nhfb,
  classification = "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation)",
  corpsource =   "Dept. of Comput. Sci., Maryland Univ., College Park,
                 MD, USA",
  fjournal =     "Numerische Mathematik",
  GWS-number =   "J83",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "convergence of numerical methods; convergence proof;
                 fixed point; iterative methods; multipoint iterations",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Stewart:1994:D,
  author =       "G. W. Stewart",
  title =        "{$ U T V $} Decompositions",
  crossref =     "Griffiths:1994:NAP",
  pages =        "225--236",
  year =         "1994",
  bibdate =      "Thu May 29 19:00:58 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
  GWS-number =   "N34",
}

@TechReport{Stewart:1994:GQD,
  author =       "G. W. Stewart",
  title =        "On Graded {$ Q R $} Decompositions of Products of
                 Matrices",
  type =         "Technical Report",
  number =       "TR-3263",
  institution =  inst-CS-U-MARYLAND,
  address =      inst-CS-U-MARYLAND:adr,
  pages =        "14",
  month =        apr,
  year =         "1994",
  bibdate =      "Sun Feb 26 11:51:53 GMT 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Stewart:1994:GSG,
  author =       "G. W. Stewart",
  title =        "Gauss, Statistics, and {Gaussian} Elimination",
  type =         "Technical Report",
  number =       "TR-3307",
  institution =  inst-CS-U-MARYLAND,
  address =      inst-CS-U-MARYLAND:adr,
  pages =        "14",
  month =        aug,
  year =         "1994",
  bibdate =      "Sun Oct 16 17:23:56 GMT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  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;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  GWS-number =   "N30",
  xxpages =      "134--139",
}

@TechReport{Stewart:1994:MCS,
  author =       "G. W. Stewart",
  title =        "On {Markov} Chains with Sluggish Transients",
  type =         "Technical Report",
  number =       "TR-3306",
  institution =  inst-CS-U-MARYLAND,
  address =      inst-CS-U-MARYLAND:adr,
  pages =        "8",
  month =        jun,
  year =         "1994",
  bibdate =      "Sun Oct 16 17:33:10 GMT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
}

@Article{Stewart:1994:PTR,
  author =       "G. W. Stewart",
  title =        "Perturbation Theory for Rectangular Matrix Pencils",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "208/209",
  pages =        "297--301",
  year =         "1994",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "15A22 (15A18 15A42)",
  MRnumber =     "95f:15013",
  MRreviewer =   "Gerd M. Krause",
  bibdate =      "Wed Jan 22 17:57:24 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1990.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  GWS-number =   "J84",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
}

@TechReport{Stewart:1994:SSU,
  author =       "G. W. Stewart",
  title =        "On the Stability of Sequential Updates and Downdates",
  type =         "Technical Report",
  number =       "TR-3238",
  institution =  inst-CS-U-MARYLAND,
  address =      inst-CS-U-MARYLAND:adr,
  pages =        "17",
  month =        mar,
  year =         "1994",
  bibdate =      "Sun Feb 26 11:51:53 GMT 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Stewart:1994:TSI,
  author =       "G. W. Stewart and W. J. Stewart and D. F. McAllister",
  title =        "A Two-Stage Iteration for Solving Nearly Completely
                 Decomposable {Markov} Chains",
  crossref =     "Golub:1994:RAI",
  pages =        "201--216",
  year =         "1994",
  bibdate =      "Thu May 29 18:57:02 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
  GWS-number =   "N33",
}

@Article{Stewart:1994:UUD,
  author =       "G. W. Stewart",
  title =        "Updating {$ U R V $} decompositions in parallel",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "20",
  number =       "2",
  pages =        "151--172",
  day =          "24",
  month =        feb,
  year =         "1994",
  CODEN =        "PACOEJ",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  bibdate =      "Fri Aug 6 10:13:56 MDT 1999",
  bibsource =    "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1994&volume=20&issue=2;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
  URL =          "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_sub/browse/browse.cgi?year=1994&volume=20&issue=2&aid=828",
  acknowledgement = ack-nhfb,
  classification = "B0290H (Linear algebra); C4140 (Linear algebra);
                 C4240P (Parallel programming and algorithm theory)",
  corpsource =   "Dept. of Comput. Sci., Maryland Univ., College Park,
                 MD, USA",
  fjournal =     "Parallel Computing",
  GWS-number =   "J82",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191/",
  keywords =     "$URV$ decomposition; linear array of processors;
                 matrix algebra; parallel algorithms; unitary matrix;
                 upper triangular matrix",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{vonMatt:1994:RES,
  author =       "Urs von Matt and G. W. Stewart",
  title =        "Rounding Errors in Solving Block {Hessenberg}
                 Systems",
  type =         "Technical Report",
  number =       "TR-3345",
  institution =  inst-CS-U-MARYLAND,
  address =      inst-CS-U-MARYLAND:adr,
  pages =        "????",
  month =        sep,
  year =         "1994",
  bibdate =      "Sun Oct 16 17:35:06 GMT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  acknowledgement = ack-nhfb,
}

@Book{Gauss:1995:TCO,
  author =       "Carl Friedrich Gauss and G. W. (Gilbert W.) Stewart",
  title =        "Theory of the combination of observations least
                 subject to error: part one, part two, supplement =
                 {Theoria} combinationis observationum erroribus minimus
                 obnoxiae: pars prior, pars posterior, supplementum",
  volume =       "11",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xi + 241",
  year =         "1995",
  ISBN =         "0-89871-347-1 (paperback)",
  ISBN-13 =      "978-0-89871-347-3 (paperback)",
  LCCN =         "QA275 .G37313 1995",
  bibdate =      "Thu May 29 07:41:49 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "Translation by G. W. Stewart of Gauss' classic
                 works.",
  series =       "Classics in applied mathematics",
  URL =          "http://www.loc.gov/catdir/enhancements/fy0739/95006589-d.html;
                 http://www.loc.gov/catdir/enhancements/fy0739/95006589-t.html",
  abstract =     "In the 1820s Gauss published two memoirs on least
                 squares, which contain his final, definitive treatment
                 of the area along with a wealth of material on
                 probability, statistics, numerical analysis, and
                 geodesy. These memoirs, originally published in Latin
                 with German Notices, have been inaccessible to the
                 English-speaking community. Here for the first time
                 they are collected in an English translation. For
                 scholars interested in comparisons the book includes
                 the original text and the English translation on facing
                 pages. More generally the book will be of interest to
                 statisticians, numerical analysts, and other scientists
                 who are interested in what Gauss did and how he set
                 about doing it. An Afterword by the translator, G. W.
                 Stewart, places Gauss's contributions in historical
                 perspective.",
  acknowledgement = ack-nhfb,
  author-dates = "1777--1855",
  GWS-number =   "B4",
  subject =      "Error analysis (Mathematics); Th{\'e}orie des erreurs;
                 Least squares; Error analysis (Mathematics); Least
                 squares.",
  tableofcontents = "Pars prior / Part one \\
                 \\
                 Random and regular errors in observations \\
                 Regular errors excluded \\
                 Their treatment \\
                 General properties of random errors \\
                 The distribution of the error \\
                 The constant part or mean value of the error \\
                 The mean square error as a measure of uncertainty \\
                 Mean error, weight and precision \\
                 Effect of removing the constant part \\
                 Interpercentile ranges and probable error \\
                 properties of the uniform, triangular, and normal
                 distribution \\
                 Inequalities relating the mean error and
                 interpercentile ranges \\
                 The fourth moments of the uniform, triangular, and
                 normal distributions \\
                 The distribution of a function of several errors \\
                 The mean value of a function of several errors \\
                 Some special cases \\
                 Convergence of the estimate of the mean error \\
                 The mean error of the estimate itself \\
                 The mean error of the estimate for the mean value \\
                 Combining errors with different weights \\
                 Overdetermined systems of equations \\
                 The problem of obtaining the unknowns as combinations
                 of observations \\
                 The principle of least squares \\
                 The mean error of a function of quantities with errors
                 \\
                 The regression model \\
                 The best combination for estimating the first unknown
                 \\
                 The weight of the estimate \\
                 Estimates of the remaining unknowns and their weights
                 \\
                 Justification of the principle of least squares \\
                 The case of a single unknown \\
                 The arithmetic mean \\
                 \\
                 Pars posterior / Part two \\
                 \\
                 Existence of the least squares estimates \\
                 Relation between combinations for different unknowns
                 \\
                 A formula for the residual sum of squares \\
                 Another formula for the residual sum of squares \\
                 Four formulas for the residual sum of squares as a
                 function of the unknowns \\
                 Errors in the least squares estimates as functions of
                 the errors in the observations \\
                 Mean errors and correlations \\
                 Linear functions of the unknowns \\
                 Least squares with a linear constraint \\
                 Review of Gaussian elimination \\
                 Abbreviated computation of the weights of the unknowns
                 \\
                 Computational details \\
                 Abbreviated computation of the weight of a linear
                 function of the unknowns \\
                 Updating the unknowns and their weights when a new
                 observation is added to the system \\
                 Updating the unknowns and their weights when the weight
                 of an observation changes \\
                 A bad formula for estimating the errors in the
                 observations from the residual sum of squares \\
                 The correct formula \\
                 The mean error of the residual sum of squares \\
                 Inequalities for the mean error of the residual sum of
                 squares \\
                 The case of the normal distribution \\
                 \\
                 Supplementum / Supplement \\
                 \\
                 Problems having constraints on the observations:
                 reduction to an ordinary least squares problem \\
                 Functions of the observations, their mean errors \\
                 Estimating a function of observations that are subject
                 to constraints \\
                 Characterization of permissible estimates \\
                 The function that gives the most reliable estimate \\
                 The value of the most reliable estimate \\
                 Four formulas for the weight of the value of the
                 estimate \\
                 The case of more than one function \\
                 The most reliable adjustments of the observations and
                 their use in estimation \\
                 Least squares characterization of the most reliable
                 adjustment \\
                 Difficulties in determining weights \\
                 A better method \\
                 Computational details \\
                 Existence of the estimates \\
                 Estimating the mean error in the observations \\
                 Estimating the mean error in the observations,
                 continued \\
                 The mean error in the estimate \\
                 Incomplete adjustment of observations \\
                 Relation between complete and incomplete adjustments
                 \\
                 A block iterative method for adjusting observations \\
                 The inverse of a symmetric system is a symmetric
                 [matrix??] \\
                 Fundamentals of geodesy \\
                 De Krayenhof's triangulation \\
                 A triangulation from Hannover \\
                 Determining weights in the Hannover triangulation \\
                 Anzeigen / Notices: Part one, part two, supplement \\
                 Afterword \\
                 Gauss's schooldays \\
                 Legendre and the priority controversy \\
                 Beginnings: Mayer, Boscovich and Laplace \\
                 Gauss and Laplace \\
                 The theoria motus \\
                 Laplace and the central limit theorem \\
                 The Theoria Combinationis Observationum \\
                 The precision of observations \\
                 The combination of observations \\
                 The inversion of linear systems \\
                 Gaussian elimination and numerical linear algebra \\
                 The generalized minimum variance theorem \\
                 References",
}

@InProceedings{Latouche:1995:NMM,
  author =       "G. Latouche and G. W. Stewart",
  title =        "Numerical Methods for {M/G/1} Type Queues",
  crossref =     "Stewart:1995:CMC",
  pages =        "571--581",
  year =         "1995",
  bibdate =      "Thu May 29 19:15:59 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
  GWS-number =   "N35",
}

@Article{Stewart:1995:GQD,
  author =       "G. W. Stewart",
  title =        "On graded {$ Q R $} decompositions of products of
                 matrices",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "3",
  pages =        "39--49",
  year =         "1995",
  CODEN =        "????",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  bibdate =      "Mon Sep 6 12:28:29 MDT 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/etna.bib",
  URL =          "http://etna.mcs.kent.edu/vol.3.1995/pp39-49.dir/pp39-49.pdf",
  abstract =     "This paper is concerned with the singular values and
                 vectors of a product $ M_m = A_1 A_2 \cdots A_m $ of
                 matrices of order $n$. The chief difficulty with
                 computing them directly from $ M_m$ is that with
                 increasing $m$ the ratio of the small to the large
                 singular values of $ M_m$ may fall below the rounding
                 unit, so that the former are computed inaccurately. The
                 solution proposed here is to compute recursively the
                 factorization $ M_m = Q R P T$, where $Q$ is
                 orthogonal, $R$ is a graded upper triangular, and $ P
                 T$ is a permutation.",
  acknowledgement = ack-nhfb,
  fjournal =     "Electronic Transactions on Numerical Analysis",
  GWS-number =   "J89",
  journal-URL =  "http://etna.mcs.kent.edu/",
}

@Article{Stewart:1995:GSG,
  author =       "G. W. Stewart",
  title =        "{Gauss}, Statistics, and {Gaussian} Elimination",
  journal =      j-J-COMPUT-GRAPH-STAT,
  volume =       "4",
  number =       "1",
  pages =        "1--11",
  month =        mar,
  year =         "1995",
  CODEN =        "????",
  DOI =          "https://doi.org/10.2307/1390624",
  ISSN =         "1061-8600 (print), 1537-2715 (electronic)",
  ISSN-L =       "1061-8600",
  MRclass =      "01A55 (62J05 65-03 65F05)",
  MRnumber =     "95k:01020",
  bibdate =      "Mon May 5 08:43:28 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputgraphstat.bib",
  URL =          "http://www.jstor.org/stable/1390624",
  abstract =     "Gaussian elimination is the algorithm of choice for
                 the solution of dense linear systems of equations.
                 However, Gauss himself originally introduced his
                 elimination procedure as a way of determining the
                 precision of least squares estimates and only later
                 described the computational algorithm. This article
                 tells the story of Gauss, his algorithm, and its
                 relation to his probabilistic development of least
                 squares.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Graphical Statistics",
  GWS-number =   "J88",
  journal-URL =  "http://www.tandfonline.com/loi/ucgs20",
}

@TechReport{Stewart:1995:IMS,
  author =       "G. W. Stewart",
  title =        "An Iterative Method for Solving Linear Inequalities",
  number =       "CS-TR-1833",
  institution =  inst-CS-U-MARYLAND,
  address =      inst-CS-U-MARYLAND:adr,
  day =          "6",
  month =        feb,
  year =         "1995",
  bibdate =      "Fri May 30 08:12:21 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  URL =          "http://drum.lib.umd.edu/handle/1903/355",
  abstract =     "This paper describes and analyzes a method for finding
                 nontrivial solutions of the inequality $ A x \geq 0 $,
                 where $A$ is an $ m \times n$ matrix of rank $n$. The
                 method is based on the observation that a certain
                 function $f$ has a unique minimum if and only if the
                 inequality {\em fails to have} a nontrivial solution.
                 Moreover, if there is a solution, an attempt to
                 minimize $f$ will produce a sequence that will diverge
                 in a direction that converges to a solution of the
                 inequality. The technique can also be used to solve
                 inhomogeneous inequalities and hence linear programming
                 problems, although no claims are made about
                 competitiveness with existing methods.",
  acknowledgement = ack-nhfb,
  keywords =     "Technical Report",
}

@TechReport{Stewart:1995:PSC,
  author =       "G. W. Stewart",
  title =        "On the perturbation of {Schur} complement in positive
                 semidefinite matrix",
  number =       "TR-95-38",
  institution =  inst-UMIACS,
  address =      inst-UMIACS:adr,
  year =         "1995",
  bibdate =      "Fri May 30 07:58:52 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  abstract =     "This note gives perturbation bounds for the Schur
                 complement of a positive definite matrix in a positive
                 semidefinite matrix.",
  acknowledgement = ack-nhfb,
}

@Article{Stewart:1995:SBH,
  author =       "G. W. Stewart",
  title =        "On the solution of block {Hessenberg} systems",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "2",
  number =       "3",
  pages =        "287--296",
  year =         "1995",
  CODEN =        "NLAAEM",
  DOI =          "https://doi.org/10.1002/nla.1680020309",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  MRclass =      "65F30",
  MRnumber =     "96a:65069",
  bibdate =      "Thu Jan 23 18:22:28 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/numlinaa.bib",
  URL =          "http://onlinelibrary.wiley.com/doi/10.1002/nla.1680020309/abstract",
  abstract =     "This paper describes a divide-and-conquer strategy for
                 solving block Hessenberg systems. For dense matrices
                 the method is as efficient as Gaussian elimination;
                 however, because it works almost entirely with the
                 original blocks, it is much more efficient for sparse
                 matrices or matrices whose blocks can be generated on
                 the fly. For Toeplitz matrices, the algorithm can be
                 combined with the Fast Fourier Transform.",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Linear Algebra with Applications",
  GWS-number =   "J86",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
  keywords =     "block Hessenberg matrix, Block Toeplitz matrix, linear
                 system, queue",
}

@Article{Stewart:1995:SSU,
  author =       "G. W. Stewart",
  title =        "On the stability of sequential updates and downdates",
  journal =      j-IEEE-TRANS-SIG-PROC,
  volume =       "43",
  number =       "11",
  pages =        "2642--2648",
  month =        "????",
  year =         "1995",
  CODEN =        "ITPRED",
  DOI =          "https://doi.org/10.1109/78.482114",
  ISSN =         "1053-587X (print), 1941-0476 (electronic)",
  ISSN-L =       "1053-587X",
  bibdate =      "Wed May 28 16:46:19 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=482114",
  abstract =     "The updating and downdating of Cholesky decompositions
                 has important applications in a number of areas. There
                 is essentially one standard updating algorithm, based
                 on plane rotations, which is backward stable. Three
                 downdating algorithms have been treated in the
                 literature: the LINPACK algorithm, the method of
                 hyperbolic transformations, and Chambers' (1971)
                 algorithm. Although none of these algorithms is
                 backward stable, the first and third satisfy a
                 relational stability condition. It is shown that
                 relational stability extends to a sequence of updates
                 and downdates. In consequence, other things being
                 equal, if the final decomposition in the sequence is
                 well conditioned, it will be accurately computed, even
                 though intermediate decompositions may be almost
                 completely inaccurate. These results are also applied
                 to the two-sided orthogonal decompositions, such as the
                 URV decomposition",
  acknowledgement = ack-nhfb,
  author-affiliation = "Dept. of Comput. Sci., Maryland Univ., College
                 Park, MD, USA",
  book-DOI =     "https://doi.org/10.1109/78.482114",
  fjournal =     "IEEE Transactions on Signal Processing",
  GWS-number =   "J87",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78",
  keywords =     "algorithm; backward, decomposition; Cholesky,
                 algorithm; downdating, algorithm; error, algorithm;
                 hyperbolic, analysis; LINPACK, decompositions; matrix,
                 analysis; matrix, updates; numerical, decomposition;
                 orthogonal, rotations; plane, decompositions;
                 relational, stability, stability; rounding,
                 decomposition; roundoff, stable, transformations;
                 sequences; sequential, Chambers', condition;
                 sequential, error, errors; stability; two-sided;
                 updating, downdates; URV, algorithms",
}

@Article{Chang:1996:NPA,
  author =       "{Xiao-Wen} Chang and Christopher C. Paige and G. W.
                 Stewart",
  title =        "New Perturbation Analyses for the {Cholesky}
                 Factorization",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "16",
  number =       "4",
  pages =        "457--484",
  month =        oct,
  year =         "1996",
  CODEN =        "IJNADH",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  MRclass =      "65F30",
  MRnumber =     "97g:65089",
  bibdate =      "Sat Dec 23 17:06:35 MST 2000",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib;
                 http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_04/;
                 MathSciNet database",
  URL =          "http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_04/160457.sgm.abs.html",
  acknowledgement = ack-nhfb,
  fjournal =     "IMA Journal of Numerical Analysis",
  GWS-number =   "J91",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
}

@Book{Stewart:1996:ANA,
  author =       "G. W. (Gilbert W.) Stewart",
  title =        "Afternotes on numerical analysis: a series of lectures
                 on elementary numerical analysis presented at the
                 {University of Maryland at College Park} and recorded
                 after the fact",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "x + 200",
  year =         "1996",
  DOI =          "https://doi.org/10.1137/1.9781611971491",
  ISBN =         "0-89871-362-5 (paperback)",
  ISBN-13 =      "978-0-89871-362-6 (paperback)",
  LCCN =         "QA297 .S785 1996",
  MRclass =      "65-01",
  MRnumber =     "1372060",
  bibdate =      "Tue May 27 08:35:41 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana1990.bib;
                 z3950.loc.gov:7090/Voyager",
  URL =          "http://www.loc.gov/catdir/enhancements/fy0726/95047768-d.html;
                 http://www.loc.gov/catdir/enhancements/fy0726/95047768-t.html",
  acknowledgement = ack-nhfb,
  GWS-number =   "B5",
  keywords =     "numerical analysis",
  subject =      "Numerical analysis",
  tableofcontents = "Part I. Nonlinear Equations \\
                 \\
                 Lecture 1. By the Dawn's Early Light \\
                 Interval Bisection \\
                 Relative Error \\
                 \\
                 Lecture 2. Newton's Method \\
                 Reciprocals and Square Roots \\
                 Local Convergence Analysis \\
                 Slow Death \\
                 \\
                 Lecture 3. A Quasi-Newton Method \\
                 Rates of Convergence \\
                 Iterating for a Fixed Point \\
                 Multiple Zeros \\
                 Ending with a Proposition \\
                 \\
                 Lecture 4. The Secant Method \\
                 Convergence \\
                 Rate of Convergence \\
                 Multipoint Methods \\
                 Muller's Method \\
                 The Linear-Fractional Method \\
                 \\
                 Lecture 5. A Hybrid Method \\
                 Errors, Accuracy, and Condition Numbers \\
                 \\
                 Part II. Computer Arithmetic: \\
                 \\
                 \\
                 Lecture 6. Floating-Point Numbers \\
                 Overflow and Underflow \\
                 Rounding Error \\
                 Floating-point Arithmetic \\
                 \\
                 Lecture 7. Computing Sums \\
                 Backward Error Analysis \\
                 Perturbation Analysis \\
                 Cheap and Chippy Chopping \\
                 \\
                 Lecture 8. Cancellation \\
                 The Quadratic Equation \\
                 That Fatal Bit of Rounding Error \\
                 Envoi \\
                 \\
                 Part III. Linear Equations \\
                 \\
                 \\
                 Lecture 9. Matrices, Vectors, and Scalars \\
                 Operations with Matrices \\
                 Rank-One Matrices \\
                 Partitioned Matrices \\
                 \\
                 Lecture 10. Theory of Linear Systems \\
                 Computational Generalities \\
                 Triangular Systems \\
                 Operation Counts \\
                 \\
                 Lecture 11. Memory Considerations \\
                 Row Oriented Algorithms \\
                 A Column Oriented Algorithm \\
                 General Observations on Row and Column Orientation \\
                 Basic Linear Algebra Subprograms \\
                 \\
                 Lecture 12. Positive Definite Matrices \\
                 The Cholesky Decomposition \\
                 Economics \\
                 \\
                 Lecture 13. Inner-Product Form of the Cholesky
                 Algorithm \\
                 Gaussian Elimination \\
                 \\
                 Lecture 14. Pivoting \\
                 BLAS \\
                 Upper Hessenberg and Tridiagonal Systems \\
                 \\
                 Lecture 15. Vector Norms \\
                 Matrix Norms \\
                 Relative Error \\
                 Sensitivity of Linear Systems \\
                 \\
                 Lecture 16. The Condition of Linear Systems \\
                 Artificial Ill Conditioning \\
                 Rounding Error and Gaussian Elimination \\
                 Comments on the Analysis \\
                 \\
                 Lecture 17. The Wonderful Residual: A Project \\
                 Introduction \\
                 More on Norms \\
                 The Wonderful Residual \\
                 Matrices with Known Condition \\
                 Invert and Multiply \\
                 Cramer's Rule \\
                 Submission \\
                 \\
                 Part IV. Polynomial Interpolation \\
                 \\
                 \\
                 Lecture 18. Quadratic Interpolation \\
                 Shifting \\
                 Polynomial Interpolation \\
                 Lagrange Polynomials and Existence \\
                 Uniqueness \\
                 \\
                 Lecture 19. Synthetic Division \\
                 The Newton Form of the Interpolant \\
                 Evaluation \\
                 Existence \\
                 Divided Differences \\
                 \\
                 Lecture 20. Error in Interpolation \\
                 Error Bounds \\
                 Convergence \\
                 Chebyshev Points \\
                 \\
                 Part V. Numerical Integration and Differentiation \\
                 \\
                 \\
                 Lecture 21. Numerical Integration \\
                 Change of Intervals \\
                 The Trapezoidal Rule \\
                 The Composite Trapezoidal Rule \\
                 Newton-Cotes Formulas \\
                 Undetermined Coefficients and Simpson's Rule \\
                 \\
                 Lecture 22. The Composite Simpson's Rule \\
                 Errors in Simpson's Rule \\
                 Weighting Functions \\
                 Gaussian Quadrature \\
                 \\
                 Lecture 23. The Setting \\
                 Orthogonal Polynomials \\
                 Existence \\
                 Zeros of Orthogonal Polynomials \\
                 Gaussian Quadrature \\
                 Error and Convergence \\
                 Examples \\
                 \\
                 Lecture 24. Numerical Differentiation and Integration
                 \\
                 Formulas From Power Series \\
                 Limitations \\
                 Bibliography",
}

@Article{vonMatt:1996:RES,
  author =       "Urs {von Matt} and G. W. Stewart",
  title =        "Rounding errors in solving block {Hessenberg}
                 systems",
  journal =      j-MATH-COMPUT,
  volume =       "65",
  number =       "213",
  pages =        "115--135",
  month =        jan,
  year =         "1996",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.1090/S0025-5718-96-00667-9",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65F05 (65G05)",
  MRnumber =     "96e:65019",
  MRreviewer =   "Alfonso Laratta",
  bibdate =      "Fri Jul 16 10:38:30 MDT 1999",
  bibsource =    "http://www.ams.org/mcom/1996-65-213;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
  URL =          "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-96-00667-9&u=/mcom/1996-65-213/",
  abstract =     "A rounding error analysis is presented for a
                 divide-and-conquer algorithm to solve linear systems
                 with block Hessenberg matrices. Conditions are derived
                 under which the algorithm computes a stable solution.
                 The algorithm is shown to be stable for block
                 diagonally dominant matrices and for M-matrices.",
  acknowledgement = ack-nhfb,
  classcodes =   "C4140 (Linear algebra); C1110 (Algebra); C4240
                 (Programming and algorithm theory)",
  fjournal =     "Mathematics of Computation",
  GWS-number =   "J90",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "algebra; algorithm; algorithm theory; block diagonally
                 dominant; block Hessenberg; block Hessenberg system;
                 divide and conquer methods; divide-and-conquer; linear;
                 linear system solution; linear systems; M-matrices;
                 matrices; matrix algebra; rounding error analysis;
                 rounding errors; solution; stable solution",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Bai:1997:ASF,
  author =       "Z. Bai and G. W. Stewart",
  title =        "{Algorithm 776}. {SRRIT} --- a {FORTRAN} Subroutine to
                 Calculate the Dominant Invariant Subspace of a
                 Nonsymmetric Matrix",
  journal =      j-TOMS,
  volume =       "23",
  number =       "4",
  pages =        "494--513",
  month =        dec,
  year =         "1997",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/279232.279234",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/fortran3.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  URL =          "http://www.acm.org/pubs/citations/journals/toms/1997-23-4/p494-bai/",
  abstract =     "SRRIT is a Fortran program to calculate an approximate
                 orthonormal basis for a dominant invariant subspace of
                 a real matrix $A$ by the method of simultaneous
                 iteration. Specifically, given an integer $m$, SRRIT
                 computes a matrix $Q$ with $m$ orthonormal columns and
                 real quasi-triangular matrix $T$ of order $m$ such that
                 the equation $ A Q = Q T $ is satisfied up to a
                 tolerance specified by the user. The eigenvalues of $T$
                 are approximations to the $m$ eigenvalues of largest
                 absolute magnitude of $A$, and the columns of $Q$ span
                 the invariant subspace corresponding to those
                 eigenvalues. SRRIT references $A$ only through a
                 user-provided subroutine to form the product $ A Q $;
                 hence it is suitable for large sparse problems.",
  accepted =     "March 1997",
  acknowledgement = ack-rfb # " and " # ack-kr # " and " # ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  GWS-number =   "J96",
  journal-URL =  "http://portal.acm.org/toc.cfm?idx=J782",
  keywords =     "algorithms, invariant subspace, nonsymmetric
                 eigenvalue problem, project method",
  subject =      "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language
                 Classifications, Fortran. {\bf F.2.1}: Theory of
                 Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY, Numerical Algorithms and Problems,
                 Computations on matrices. {\bf G.1.3}: Mathematics of
                 Computing, NUMERICAL ANALYSIS, Numerical Linear
                 Algebra, eigenvalues. {\bf G.4}: Mathematics of
                 Computing, MATHEMATICAL SOFTWARE, certification and
                 testing.",
}

@Article{Chang:1997:PAF,
  author =       "Xiao-Wen Chang and Christopher C. Paige and G. W.
                 Stewart",
  title =        "Perturbation Analyses for the {$ Q R $}
                 Factorization",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "18",
  number =       "3",
  pages =        "775--791",
  month =        jul,
  year =         "1997",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479896297720",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F35 (15A23)",
  MRnumber =     "1 453 550",
  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/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/29772",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Chang:1997:PAQ,
  author =       "Xiao-Wen Chang and Christopher C. Paige and G. W.
                 Stewart",
  title =        "Perturbation Analyses for the {$ Q R $}
                 Factorization",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "18",
  number =       "3",
  pages =        "775--791",
  year =         "1997",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  GWS-number =   "J93",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Stewart:1997:BRA,
  author =       "G. W. Stewart",
  title =        "Book Review: {Accuracy and Stability of Numerical
                 Algorithms}, by {Nicholas J. Higham}",
  journal =      j-SIAM-REVIEW,
  volume =       "39",
  number =       "1",
  pages =        "164--166",
  month =        mar,
  year =         "1997",
  CODEN =        "SIREAD",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Tue May 13 16:55:17 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib;
                 http://www.siam.org/journals/sirev/sirev391.htm",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
}

@InProceedings{Stewart:1997:EVN,
  author =       "G. W. Stewart",
  title =        "Errors in Variables for Numerical Analysts",
  crossref =     "vanHuffel:1997:RAT",
  pages =        "3--10",
  year =         "1997",
  bibdate =      "Fri May 30 05:53:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
  GWS-number =   "N36",
}

@Article{Stewart:1997:MCS,
  author =       "G. W. Stewart",
  title =        "On {Markov} Chains with Sluggish Transients",
  journal =      j-STOCH-MODELS,
  volume =       "13",
  pages =        "85--95",
  year =         "1997",
  CODEN =        "CSSME8",
  DOI =          "https://doi.org/10.1080/15326349708807414",
  ISSN =         "1532-6349 (print), 1532-4214 (electronic)",
  ISSN-L =       "1532-6349",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib",
  abstract =     "In this note it is shown how to construct a Markov
                 chain whose subdominant eigenvalue does not predict the
                 decay of its transient",
  acknowledgement = ack-nhfb,
  fjournal =     "Stochastic Models",
  GWS-number =   "J95",
  journal-URL =  "http://www.tandfonline.com/loi/lstm19",
  xxpages =      "85--94",
}

@Article{Stewart:1997:PCF,
  author =       "G. W. Stewart",
  title =        "On the Perturbation of {$ L U $} and {Cholesky}
                 Factors",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "17",
  number =       "1",
  pages =        "1--6",
  month =        jan,
  year =         "1997",
  CODEN =        "IJNADH",
  DOI =          "https://doi.org/10.1093/imanum/17.1.1",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  MRclass =      "65F30",
  MRnumber =     "97m:65090",
  bibdate =      "Sat Dec 23 17:06:35 MST 2000",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib;
                 http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_01/;
                 MathSciNet database",
  URL =          "http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_01/170001.sgm.abs.html",
  abstract =     "In a recent paper, Chang and Paige have shown that the
                 usual perturbation bounds for Cholesky factors can
                 systematically overestimate the errors. In this note we
                 sharpen their results and extend them to the factors of
                 the LU decomposition. The results are based on a new
                 formula for the first-order terms of the error in the
                 factors.",
  acknowledgement = ack-nhfb,
  fjournal =     "IMA Journal of Numerical Analysis",
  GWS-number =   "J92",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
}

@Article{Stewart:1997:TMG,
  author =       "G. W. Stewart",
  title =        "The Triangular Matrices of {Gaussian} Elimination and
                 Related Decompositions",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "17",
  number =       "1",
  pages =        "7--16",
  month =        jan,
  year =         "1997",
  CODEN =        "IJNADH",
  DOI =          "https://doi.org/10.1093/imanum/17.1.7",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  MRclass =      "65F30",
  MRnumber =     "97i:65076",
  bibdate =      "Sat Dec 23 17:06:35 MST 2000",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib;
                 http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_01/;
                 MathSciNet database",
  URL =          "http://www3.oup.co.uk/imanum/hdb/Volume_17/Issue_01/170007.sgm.abs.html",
  abstract =     "It has become commonplace that triangular systems are
                 solved to higher accuracy than their condition would
                 warrant. This observation is not true in general, and
                 counterexamples are easy to construct. However, it is
                 often true of the triangular matrices from pivoted $ L
                 U $ or $ Q R $ decompositions. It is shown that this
                 fact is closely connected with the rank-revealing
                 character of these decompositions.",
  acknowledgement = ack-nhfb,
  fjournal =     "IMA Journal of Numerical Analysis",
  GWS-number =   "J94",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
}

@Article{Stewart:1997:WML,
  author =       "G. W. Stewart",
  title =        "On the weighting method for least squares problems
                 with linear equality constraints",
  journal =      j-BIT-NUM-MATH,
  volume =       "37",
  number =       "4",
  pages =        "961--967",
  month =        dec,
  year =         "1997",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/BF02510363",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65F20",
  MRnumber =     "98g:65035",
  bibdate =      "Fri Nov 13 07:00:34 MST 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://www.mai.liu.se/BIT/contents/bit37.html",
  abstract =     "The weighting method for solving a least squares
                 problem with linear equality constraints multiplies the
                 constraints by a large number and appends them to the
                 top of the least squares problem, which is then solved
                 by standard techniques. In this paper we give a new
                 analysis of the method, based on the QR decomposition,
                 that exhibits many features of the algorithm. In
                 particular it suggests a natural criterion for choosing
                 the weighting factor.",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT Numerical Mathematics",
  GWS-number =   "J97",
  journal-URL =  "http://link.springer.com/journal/10543",
}

@InProceedings{Boisvert:1998:DNLa,
  author =       "Ronald F. Boisvert and Jack J. Dongarra and Roldan
                 Pozo and Karin A. Remington and G. W. Stewart",
  title =        "Developing numerical libraries in {Java}",
  crossref =     "ACM:1998:AWJ",
  pages =        "??--??",
  year =         "1998",
  bibdate =      "Thu Apr 27 10:43:08 2000",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/java.bib;
                 https://www.math.utah.edu/pub/tex/bib/sigplan1990.bib",
  URL =          "http://www.cs.ucsb.edu/conferences/java98/papers/jnt.pdf;
                 http://www.cs.ucsb.edu/conferences/java98/papers/jnt.ps;
                 http://www.netlib.org/utk/people/JackDongarra/PAPERS/jnt.ps;
                 http://www.netlib.org/utk/people/JackDongarra/pdf/jnt.pdf",
  acknowledgement = ack-nhfb,
}

@Article{Boisvert:1998:DNLb,
  author =       "Ronald F. Boisvert and Jack J. Dongarra and Roldan
                 Pozo and Karin A. Remington and G. W. Stewart",
  title =        "Developing numerical libraries in {Java}",
  journal =      j-CPE,
  volume =       "10",
  number =       "11--13",
  pages =        "1117--1129",
  month =        sep,
  year =         "1998",
  CODEN =        "CPEXEI",
  DOI =          "https://doi.org/10.1002/(SICI)1096-9128(199809/11)10:11/13<1117::AID-CPE386>3.3.CO;2-9",
  ISSN =         "1040-3108 (print), 1096-9128 (electronic)",
  ISSN-L =       "1040-3108",
  bibdate =      "Tue Sep 7 06:06:44 MDT 1999",
  bibsource =    "http://www.interscience.wiley.com/jpages/1040-3108/;
                 https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/cpe.bib;
                 https://www.math.utah.edu/pub/tex/bib/java.bib;
                 http://www3.interscience.wiley.com/journalfinder.html",
  note =         "Special Issue: Java for High-performance Network
                 Computing.",
  URL =          "http://www3.interscience.wiley.com/cgi-bin/abstract?ID=10050395;
                 http://www3.interscience.wiley.com/cgi-bin/fulltext?ID=10050395&PLACEBO=IE.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Concurrency, practice and experience",
  GWS-number =   "J101",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/%28ISSN%291532-0634/issues",
}

@Article{Oleary:1998:CNR,
  author =       "D. P. Oleary and G. W. Stewart",
  title =        "On the convergence of a new {Rayleigh} quotient method
                 with applications to large eigenproblems",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "7",
  pages =        "182--189",
  year =         "1998",
  CODEN =        "????",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  bibdate =      "Mon Sep 6 12:28:29 MDT 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/etna.bib",
  note =         "Large scale eigenvalue problems (Argonne, IL, 1997)",
  URL =          "http://etna.mcs.kent.edu/vol.7.1998/pp182-189.dir/pp182-189.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Electronic Transactions on Numerical Analysis",
  journal-URL =  "http://etna.mcs.kent.edu/",
}

@TechReport{Roginsky:1998:TDE,
  author =       "Jacob Roginsky and G. W. Stewart",
  title =        "Time-Domain Extraction of Broad-Band Sources by
                 {Tikhonov--Phillips} Regularization of Triangular
                 {Toeplitz} Kernels",
  type =         "Technical Report",
  number =       "UMIACS-TR-95-87",
  institution =  inst-UMIACS,
  address =      inst-UMIACS:adr,
  day =          "15",
  month =        oct,
  year =         "1998",
  bibdate =      "Fri May 30 07:42:32 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  URL =          "http://drum.lib.umd.edu/handle/1903/755",
  abstract =     "Single receiver source deconvolution in a
                 shallow-water environment is an ill-posed problem whose
                 difficulty is compounded by the multipath nature of the
                 propagation operator. If only sources that are
                 quiescent prior to some initial time to are considered,
                 the result of discretizing the problem in the time
                 domain is an ill-conditioned triangular Toeplitz
                 system. In this paper we show how an algorithm of Elden
                 can be used to implement Tikhonov--Phillips
                 regularization for this system. Unlike the multichannel
                 deconvolution techniques used in underwater acoustics,
                 this method can extract source signatures using the
                 outputs of a single sensor. In addition, when the
                 propagation is multipath and source signature
                 extraction is performed as part of an optimization
                 procedure for environmental inversion, we can work with
                 shorter time windows so that the process becomes
                 computationally more efficient than frequency domain
                 deconvolution. A number of examples of the use of the
                 Tikhonov--Phillips regularization method for source
                 series extraction are provided. (Also cross-referenced
                 as UMIACS-TR-95-87).",
  acknowledgement = ack-nhfb,
}

@Book{Stewart:1998:AGG,
  author =       "G. W. (Gilbert W.) Stewart",
  title =        "Afternotes goes to graduate school: lectures on
                 advanced numerical analysis",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xii + 245",
  year =         "1998",
  DOI =          "https://doi.org/10.1137/1.9781611971422",
  ISBN =         "0-89871-404-4 (paperback)",
  ISBN-13 =      "978-0-89871-404-3 (paperback)",
  LCCN =         "QA297 .S784 1998",
  MRclass =      "65-01",
  MRnumber =     "1613128 (98m:65004)",
  bibdate =      "Fri Nov 16 09:49:25 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana1990.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "A series of lectures on advanced numerical analysis
                 presented at the University of Maryland at College Park
                 and recorded after the fact.",
  URL =          "http://www.loc.gov/catdir/enhancements/fy0726/97044449-d.html;
                 http://www.loc.gov/catdir/enhancements/fy0726/97044449-t.html",
  acknowledgement = ack-nhfb,
  GWS-number =   "B6",
  subject =      "Numerical analysis",
  tableofcontents = "Part I. Approximation \\
                 Lecture 1. General observations \\
                 Decline and fall \\
                 The linear sine \\
                 Approximation in normed linear spaces \\
                 Significant differences \\
                 Lecture 2. The space $C[0,1]$ \\
                 Existence of best approximations \\
                 Uniqueness of best approximations \\
                 Convergence in $C[0,1]$ \\
                 The Weierstrass approximation theorem \\
                 Bernstein polynomials \\
                 Comments \\
                 Lecture 3. Chebyshev approximation \\
                 Uniqueness \\
                 Convergence of Chebyshev approximations \\
                 Rates of convergence \\
                 Part II. Linear and Cubic Splines \\
                 Lecture 10. Piecewise linear interpolation \\
                 The error in $L(f)$ \\
                 Approximations in the $\infty$-norm \\
                 Hat functions \\
                 Integration \\
                 Least squares approximation \\
                 Implementations issues \\
                 Lecture 11. Cubic splines \\
                 Derivation of the cubic spline \\
                 End conditions \\
                 Convergence \\
                 Locality \\
                 Part III. Eigensystems \\
                 Part IV. Krylov Sequence Methods \\
                 Part V. Iterations, Linear and Nonlinear",
}

@Article{Stewart:1998:AM,
  author =       "G. W. Stewart",
  title =        "On the Adjugate Matrix",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "283",
  number =       "1--3",
  pages =        "151--164",
  day =          "1",
  month =        nov,
  year =         "1998",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Fri May 28 09:34:24 MDT 1999",
  bibsource =    "http://www.elsevier.com/locate/laa;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1990.bib",
  URL =          "http://www.elsevier.com/cas/tree/store/laa/sub/1998/283/1-3/6217.pdf;
                 http://www.elsevier.com/cgi-bin/cas/tree/store/laa/cas_sub/browse/browse.cgi?year=1998&volume=283&issue=1-3&aid=6217",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  GWS-number =   "J100",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
}

@Article{Stewart:1998:HTS,
  author =       "Michael Stewart and G. W. Stewart",
  title =        "On Hyperbolic Triangularization: Stability and
                 Pivoting",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "19",
  number =       "4",
  pages =        "847--860",
  month =        oct,
  year =         "1998",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479897319581",
  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/19/4;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/31958",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Book{Stewart:1998:MAV,
  author =       "G. W. (Gilbert W.) Stewart",
  title =        "Matrix algorithms. Volume 1. Basic decompositions",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xix + 458",
  year =         "1998",
  DOI =          "https://doi.org/10.1137/1.9781611971408",
  ISBN =         "0-89871-414-1",
  ISBN-13 =      "978-0-89871-414-2",
  LCCN =         "QA188 .S714 1998",
  MRclass =      "65-01 (65Fxx)",
  MRnumber =     "1653546",
  bibdate =      "Tue May 27 07:40:02 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana1990.bib",
  note =         "Basic decompositions",
  abstract =     "This volume is the first in a self-contained
                 five-volume series devoted to matrix algorithms. It
                 focuses on the computation of matrix
                 decompositions---that is, the factorization of matrices
                 into products of similar ones. The first two chapters
                 provide the required background from mathematics and
                 computer science needed to work effectively in matrix
                 computations. The remaining chapters are devoted to the
                 $ L U $ and $ Q R $ decompositions---their computation
                 and applications. The singular value decomposition is
                 also treated, although algorithms for its computation
                 will appear in the second volume of the series. The
                 present volume contains 65 algorithms formally
                 presented in pseudocode. Other volumes in the series
                 will treat eigensystems, iterative methods, sparse
                 matrices, and structured problems. The series is aimed
                 at the nonspecialist who needs more than black-box
                 proficiency with matrix computations. To give the
                 series focus, the emphasis is on algorithms, their
                 derivation, and their analysis. The reader is assumed
                 to have a knowledge of elementary analysis and linear
                 algebra and a reasonable amount of programming
                 experience, typically that of the beginning graduate
                 engineer or the undergraduate in an honors program.
                 Strictly speaking, the individual volumes are not
                 textbooks, although they are intended to teach, the
                 guiding principle being that if something is worth
                 explaining, it is worth explaining fully. This has
                 necessarily restricted the scope of the series, but the
                 selection of topics should give the reader a sound
                 basis for further study.",
  acknowledgement = ack-nhfb,
  GWS-number =   "B7",
  tableofcontents = "Algorithms \\
                 Notation \\
                 Preface \\
                 1. Matrices, algebra, and analysis \\
                 2. Matrices and machines \\
                 3. Gaussian elimination \\
                 4. The $QR$ decomposition and least squares \\
                 5. Rank-reducing decompositions \\
                 References \\
                 Index",
}

@TechReport{Stewart:1998:SC,
  author =       "G. W. Stewart",
  title =        "On Sublinear Convergence",
  type =         "Technical report",
  number =       "UMIACS-TR-95-92",
  institution =  inst-UMIACS,
  address =      inst-UMIACS:adr,
  month =        "1998/10/15/",
  year =         "1998",
  bibdate =      "Fri May 30 07:40:54 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  URL =          "http://drum.lib.umd.edu/handle/1903/760",
  abstract =     "This note develops a theory of sublinearly converging
                 sequences, including a categorization of the rates of
                 convergence and a method for determining the rate from
                 an iteration function. (Also cross-referenced as
                 UMIACS-TR-95-92)",
  acknowledgement = ack-nhfb,
  keywords =     "Technical Report",
}

@TechReport{Stewart:1998:TAE,
  author =       "G. W. Stewart",
  title =        "Two Algorithms for the Efficient Computation of
                 Truncated Pivoted {$ Q R $} Approximations to a Sparse
                 Matrix",
  type =         "Technical Report",
  number =       "UMIACS-TR-98-12",
  institution =  inst-UMIACS,
  address =      inst-UMIACS:adr,
  day =          "15",
  month =        oct,
  year =         "1998",
  bibdate =      "Fri May 30 07:46:55 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  URL =          "http://drum.lib.umd.edu/handle/1903/941",
  abstract =     "In this note we propose two algorithms to compute
                 truncated pivoted $ Q R $ approximations to a sparse
                 matrix. One is based on the Gram--Schmidt algorithm,
                 and the other on Householder triangularization. Both
                 algorithms leave the original matrix unchanged, and the
                 only additional storage requirements are arrays to
                 contain the factorization itself. Thus, the algorithms
                 are particularly suited to determining low-rank
                 approximations to a sparse matrix. (Also
                 cross-referenced as UMIACS-TR-98-12)",
  acknowledgement = ack-nhfb,
  keywords =     "Technical Report",
}

@TechReport{Stewart:1998:TMG,
  author =       "G. W. Stewart",
  title =        "The Triangular Matrices of {Gaussian} Elimination and
                 Related Decompositions",
  type =         "Technical Report",
  number =       "UMIACS-TR-95-91",
  institution =  inst-UMIACS,
  address =      inst-UMIACS:adr,
  day =          "15",
  month =        oct,
  year =         "1998",
  bibdate =      "Fri May 30 07:45:58 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  URL =          "http://drum.lib.umd.edu/handle/1903/759",
  abstract =     "It has become a commonplace that triangular systems
                 are solved to higher accuracy than their condition
                 would warrant. This observation is not true in general,
                 and counterexamples are easy to construct. However, it
                 is often true of the triangular matrices from pivoted
                 LU or QR decompositions. It is shown that this fact is
                 closely connected with the rank-revealing character of
                 these decompositions.",
  acknowledgement = ack-nhfb,
  keywords =     "Technical Report",
}

@TechReport{Stewart:1998:TSR,
  author =       "G. W. Stewart",
  title =        "Two Simple Residual Bounds for the Eigenvalues of
                 {Hermitian} Matrices",
  number =       "UMIACS-TR-89-123",
  institution =  inst-UMIACS,
  address =      inst-UMIACS:adr,
  day =          "15",
  month =        oct,
  year =         "1998",
  bibdate =      "Fri May 30 07:48:31 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  URL =          "http://drum.lib.umd.edu/handle/1903/545",
  abstract =     "Let $A$ be Hermitian and let the orthonormal columns
                 of $X$ span an approximate invariant subspace of $X$.
                 Then the residual $ R = A X - X M$ $ (M = X \ctp A X)$
                 will be small. The theorems of this paper bound the
                 distance of the spectrum of $M$ from the spectrum of
                 $A$ in terms of appropriate norms of $R$. Appeared in
                 SIAM J. Mat. Anal. Appl. 12 (1991) 205--208. (Also
                 cross-referenced as UMIACS-TR-89-123)",
  acknowledgement = ack-nhfb,
}

@Article{Kilmer:1999:IRM,
  author =       "Misha Kilmer and G. W. Stewart",
  title =        "Iterative Regularization and {MINRES}",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "21",
  number =       "2",
  pages =        "613--628",
  year =         "1999",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479898348623",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Fri Oct 27 07:23:28 MDT 2000",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/21/2;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/34862",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  GWS-number =   "J104",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Stewart:1999:BRN,
  author =       "G. W. Stewart",
  title =        "Book Reviews: {{\em Numerical linear algebra}}, by
                 {Lloyd N. Trefethen} and {David Bau, III}",
  journal =      j-MATH-COMPUT,
  volume =       "68",
  number =       "225",
  pages =        "??--??",
  month =        jan,
  year =         "1999",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Mon Jul 26 12:45:31 1999",
  bibsource =    "http://www.ams.org/mcom/1999-68-225;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
  URL =          "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-99-00992-8&u=/mcom/1999-68-225/",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  xxpages =      "453--459",
}

@Article{Stewart:1999:FAE,
  author =       "G. W. Stewart",
  title =        "Four algorithms for the efficient computation of
                 truncated pivoted {$ Q R $} approximations to a sparse
                 matrix",
  journal =      j-NUM-MATH,
  volume =       "83",
  number =       "2",
  pages =        "313--323",
  month =        aug,
  year =         "1999",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Mon Oct 18 10:45:15 MDT 1999",
  bibsource =    "http://link.springer-ny.com/link/service/journals/00211/tocs/t9000002.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  URL =          "http://link.springer-ny.com/link/service/journals/00211/bibs/9083002/90830313.htm;
                 http://link.springer-ny.com/link/service/journals/00211/papers/9083002/90830313.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  GWS-number =   "J103",
  journal-URL =  "http://link.springer.com/journal/211",
}

@Article{Stewart:1999:QAS,
  author =       "G. W. Stewart",
  title =        "The {QLP} Approximation to the Singular Value
                 Decomposition",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "20",
  number =       "4",
  pages =        "1336--1348",
  month =        jul,
  year =         "1999",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/S1064827597319519",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Sat Jul 17 19:14:35 MDT 1999",
  bibsource =    "http://epubs.siam.org/toc/sjoce3/20/4;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/31951",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  GWS-number =   "J102",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{Holland:2000:WLC,
  author =       "John H. Holland and Lashon B. Booker and Marco
                 Colombetti and Marco Dorigo and David E. Goldberg and
                 Stephanie Forrest and Rick L. Riolo and Robert E. Smith
                 and Pier Luca Lanzi and Wolfgang Stolzmann and Stewart
                 W. Wilson",
  title =        "What Is a Learning Classifier System?",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "1813",
  pages =        "3--??",
  year =         "2000",
  CODEN =        "LNCSD9",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  bibdate =      "Fri Feb 1 09:16:30 MST 2002",
  bibsource =    "http://link.springer-ny.com/link/service/series/0558/tocs/t.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/lncs2000.bib",
  URL =          "http://link.springer-ny.com/link/service/series/0558/bibs/1813/18130003.htm;
                 http://link.springer-ny.com/link/service/series/0558/papers/1813/18130003.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Lecture Notes in Computer Science",
  journal-URL =  "http://link.springer.com/bookseries/558",
}

@Article{Li:2000:NRP,
  author =       "Ren-Cang Li and G. W. Stewart",
  title =        "A new relative perturbation theorem for singular
                 subspaces",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "313",
  number =       "1--3",
  pages =        "41--51",
  day =          "1",
  month =        jul,
  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/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala2000.bib",
  URL =          "http://www.elsevier.nl/gej-ng/10/30/19/130/25/27/abstract.html;
                 http://www.elsevier.nl/gej-ng/10/30/19/130/25/27/article.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  GWS-number =   "J106",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Stewart:2000:BRA,
  author =       "G. W. Stewart",
  title =        "Book review: {{\em ARPACK Users' Guide, Solution of
                 Large-Scale Eigenvalue Problems with Implicitly
                 Restarted Arnoldi Methods}}",
  journal =      j-MATH-COMPUT,
  volume =       "69",
  number =       "231",
  pages =        "1309--1311",
  month =        jul,
  year =         "2000",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Wed Nov 1 11:50:05 MST 2000",
  bibsource =    "http://www.ams.org/mcom/2000-69-231;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp2000.bib",
  URL =          "http://www.ams.org/mcom/2000-69-231/S0025-5718-00-01249-7/bookrev-S0025-5718-00-01249-7.html;
                 http://www.ams.org/mcom/2000-69-231/S0025-5718-00-01249-7/S0025-5718-00-01249-7.dvi;
                 http://www.ams.org/mcom/2000-69-231/S0025-5718-00-01249-7/S0025-5718-00-01249-7.pdf;
                 http://www.ams.org/mcom/2000-69-231/S0025-5718-00-01249-7/S0025-5718-00-01249-7.ps;
                 http://www.ams.org/mcom/2000-69-231/S0025-5718-00-01249-7/S0025-5718-00-01249-7.tex",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{Stewart:2000:DAM,
  author =       "G. W. Stewart",
  title =        "The Decompositional Approach to Matrix Computation",
  journal =      j-COMPUT-SCI-ENG,
  volume =       "2",
  number =       "1",
  pages =        "50--59",
  month =        jan # "\slash " # feb,
  year =         "2000",
  CODEN =        "CSENFA",
  DOI =          "https://doi.org/10.1109/5992.814658",
  ISSN =         "1521-9615 (print), 1558-366X (electronic)",
  ISSN-L =       "1521-9615",
  bibdate =      "Wed May 28 16:46:19 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/computscieng.bib",
  URL =          "http://dlib.computer.org/cs/books/cs2000/pdf/c1050.pdf;
                 http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=814658;
                 http://www.computer.org/cse/cs1999/c1050abs.htm",
  acknowledgement = ack-nhfb,
  author-affiliation = "Dept. of Comput. Sci., Maryland Univ., College
                 Park, MD, USA",
  book-DOI =     "https://doi.org/10.1109/5992.814658",
  fjournal =     "Computing in Science and Engineering",
  GWS-number =   "J105",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5992",
}

@Article{Jia:2001:ARR,
  author =       "Zhongxiao Jia and G. W. Stewart",
  title =        "An analysis of the {Rayleigh--Ritz} method for
                 approximating eigenspaces",
  journal =      j-MATH-COMPUT,
  volume =       "70",
  number =       "234",
  pages =        "637--647",
  month =        apr,
  year =         "2001",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Wed Apr 18 05:10:18 MDT 2001",
  bibsource =    "http://www.ams.org/mcom/2001-70-234;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp2000.bib",
  URL =          "http://www.ams.org/journal-getitem?pii=S0025-5718-00-01208-4;
                 http://www.ams.org/mcom/2001-70-234/S0025-5718-00-01208-4/S0025-5718-00-01208-4.dvi;
                 http://www.ams.org/mcom/2001-70-234/S0025-5718-00-01208-4/S0025-5718-00-01208-4.pdf;
                 http://www.ams.org/mcom/2001-70-234/S0025-5718-00-01208-4/S0025-5718-00-01208-4.ps;
                 http://www.ams.org/mcom/2001-70-234/S0025-5718-00-01208-4/S0025-5718-00-01208-4.tex",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  GWS-number =   "J107",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{Stewart:2001:EGM,
  author =       "G. W. Stewart",
  title =        "On the eigensystems of graded matrices",
  journal =      j-NUM-MATH,
  volume =       "90",
  number =       "2",
  pages =        "349--370",
  month =        dec,
  year =         "2001",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/s002110100290",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Sun Feb 3 10:07:58 MST 2002",
  bibsource =    "http://link.springer-ny.com/link/service/journals/00211/tocs/t1090002.htm;
                 http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0029-599X;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath2000.bib",
  URL =          "http://link.springer-ny.com/link/service/journals/00211/bibs/1090002/10900349.htm;
                 http://link.springer-ny.com/link/service/journals/00211/papers/1090002/10900349.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  GWS-number =   "J109",
  journal-URL =  "http://link.springer.com/journal/211",
}

@Article{Stewart:2001:GST,
  author =       "G. W. Stewart",
  title =        "A generalization of {Saad}'s theorem on
                 {Rayleigh--Ritz} approximations",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "327",
  number =       "1--3",
  pages =        "115--119",
  day =          "15",
  month =        apr,
  year =         "2001",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Tue Apr 3 07:01:32 MDT 2001",
  bibsource =    "http://www.elsevier.com/locate/laa;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala2000.bib",
  URL =          "http://www.elsevier.nl/gej%2Dng/10/30/19/152/25/35/abstract.html;
                 http://www.elsevier.nl/gej%2Dng/10/30/19/152/25/35/article.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  GWS-number =   "J108",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Stewart:2001:KSA,
  author =       "G. W. Stewart",
  title =        "A {Krylov--Schur} Algorithm for Large Eigenproblems",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "23",
  number =       "3",
  pages =        "601--614",
  year =         "2001",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479800371529",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Fri Feb 22 09:58:18 MST 2002",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/23/3;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/37152",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  GWS-number =   "J111",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Book{Stewart:2001:MAV,
  author =       "G. W. Stewart",
  title =        "Matrix Algorithms. {Volume II}: Eigensystems",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xix + 469",
  year =         "2001",
  ISBN =         "0-89871-503-2 (paperback), 0-89871-805-8 (e-book)",
  ISBN-13 =      "978-0-89871-503-3 (paperback), 978-0-89871-805-8
                 (e-book)",
  LCCN =         "QA188 .S714 1998 v.2",
  bibdate =      "Sun Jun 19 12:32:58 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana2000.bib",
  abstract =     "This book is the second volume in a projected
                 five-volume survey of numerical linear algebra and
                 matrix algorithms. This volume treats the numerical
                 solution of dense and large-scale eigenvalue problems
                 with an emphasis on algorithms and the theoretical
                 background required to understand them. Stressing depth
                 over breadth, Professor Stewart treats the derivation
                 and implementation of the more important algorithms in
                 detail. The notes and references sections contain
                 pointers to other methods along with historical
                 comments.",
  acknowledgement = ack-nhfb,
  GWS-number =   "B8",
  subject =      "Matrices",
  tableofcontents = "1. Eigensystems \\
                 2. The $QR$ algorithm \\
                 3. The symmetric eigenvalue problem \\
                 4. Eigenspaces and their approximation \\
                 5. Krylov sequence methods \\
                 6. Alternatives \\
                 7. Appendix : background",
}

@Article{Stewart:2002:AKS,
  author =       "G. W. Stewart",
  title =        "Addendum to {``A Krylov--Schur Algorithm for Large
                 Eigenproblems''}",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "24",
  number =       "2",
  pages =        "599--601",
  year =         "2002",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479802403150",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Fri Aug 15 05:45:45 MDT 2003",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/24/2;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/40315",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  GWS-number =   "J113",
  journal-URL =  "http://epubs.siam.org/simax",
}

@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;
                 http://epubs.siam.org/toc/sjoce3/24/1;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/38898",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  GWS-number =   "J112",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{Stewart:2002:BEB,
  author =       "G. W. Stewart",
  title =        "Backward error bounds for approximate {Krylov}
                 subspaces",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "340",
  number =       "1--3",
  pages =        "81--86",
  day =          "1",
  month =        jan,
  year =         "2002",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Sat Feb 23 11:16:42 MST 2002",
  bibsource =    "http://www.elsevier.com/locate/laa;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala2000.bib",
  URL =          "http://www.elsevier.com/gej-ng/10/30/19/172/27/32/abstract.html",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  GWS-number =   "J110",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@TechReport{Stewart:2003:BOF,
  author =       "G. W. Stewart",
  title =        "Building an Old-Fashioned Sparse Solver",
  type =         "Technical Report",
  number =       "TR-4527",
  institution =  inst-CS-U-MARYLAND,
  address =      inst-CS-U-MARYLAND:adr,
  year =         "2003",
  bibdate =      "Fri May 30 05:54:18 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  note =         "Also issued as University of Maryland Institute for
                 Advanced Computer Studies UMIACS report TR-2003-95.",
  acknowledgement = ack-nhfb,
  GWS-number =   "N37",
}

@Article{Stewart:2003:MLD,
  author =       "G. W. Stewart",
  title =        "Memory leaks in derived types revisited",
  journal =      j-FORTRAN-FORUM,
  volume =       "22",
  number =       "3",
  pages =        "25--27",
  month =        dec,
  year =         "2003",
  CODEN =        "????",
  ISSN =         "1061-7264 (print), 1931-1311 (electronic)",
  ISSN-L =       "1061-7264",
  bibdate =      "Mon Jan 5 17:53:11 MST 2004",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/fortran-forum.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Fortran Forum",
  GWS-number =   "J115",
  issue =        "67",
  journal-URL =  "http://portal.acm.org/toc.cfm?id=J286",
}

@Article{Stewart:2003:PMP,
  author =       "G. W. Stewart",
  title =        "On the powers of a matrix with perturbations",
  journal =      j-NUM-MATH,
  volume =       "96",
  number =       "2",
  pages =        "363--376",
  month =        dec,
  year =         "2003",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/s00211-003-0470-0",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Tue Jan 13 17:22:49 MST 2004",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0029-599X;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath2000.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  GWS-number =   "J114",
  journal-URL =  "http://link.springer.com/journal/211",
}

@Article{Stewart:2004:ELP,
  author =       "G. W. Stewart",
  title =        "An {Elsner}-like perturbation theorem for generalized
                 eigenvalues",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "390",
  number =       "1",
  pages =        "1--5",
  day =          "1",
  month =        oct,
  year =         "2004",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Tue Nov 9 07:02:36 MST 2004",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala2000.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  GWS-number =   "J116",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Berry:2005:ACS,
  author =       "Michael W. Berry and Shakhina A. Pulatova and G. W.
                 Stewart",
  title =        "{Algorithm 844}: {Computing} sparse reduced-rank
                 approximations to sparse matrices",
  journal =      j-TOMS,
  volume =       "31",
  number =       "2",
  pages =        "252--269",
  month =        jun,
  year =         "2005",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/1067967.1067972",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Tue Jun 21 16:55:57 MDT 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/toms/;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  abstract =     "In many applications---latent semantic indexing, for
                 example---it is required to obtain a reduced rank
                 approximation to a sparse matrix $A$. Unfortunately,
                 the approximations based on traditional decompositions,
                 like the singular value and $ Q R$ decompositions, are
                 not in general sparse. Stewart [(1999), 313--323] has
                 shown how to use a variant of the classical
                 Gram--Schmidt algorithm, called the
                 quasi-Gram--Schmidt-algorithm, to obtain two kinds of
                 low-rank approximations. The first, the $ S P Q R$,
                 approximation, is a pivoted, $Q$-less $ Q R$
                 approximation of the form $ (X R_{11}^{-1})(R_{11}
                 R_{12}) $, where $X$ consists of columns of $A$. The
                 second, the $ S C R$ approximation, is of the form the
                 form $ A \approx X T Y T $, where $X$ and $Y$ consist
                 of columns and rows $A$, and $T$ is small. In this
                 article we treat the computational details of these
                 algorithms and describe a MATLAB implementation.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  GWS-number =   "J118",
  journal-URL =  "http://portal.acm.org/toc.cfm?idx=J782",
}

@Article{Stewart:2005:EAQ,
  author =       "G. W. Stewart",
  title =        "Error Analysis of the Quasi-{Gram--Schmidt}
                 Algorithm",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "27",
  number =       "2",
  pages =        "493--506",
  month =        apr,
  year =         "2005",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/040607794",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Thu Dec 29 16:33:54 MST 2005",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/27/2;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/60779",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  GWS-number =   "J117",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Fassbender:2006:CVF,
  author =       "Heike Fassbender and Michael Griebel and Olga Holtz
                 and G. W. (Pete) Stewart and Christoph Zenger",
  title =        "Curriculum vitae of {Friedrich Ludwig Bauer}",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "417",
  number =       "2--3",
  pages =        "299--300",
  day =          "1",
  month =        sep,
  year =         "2006",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/j.laa.2006.07.001",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "01A70",
  MRnumber =     "2250311",
  bibdate =      "Wed Mar 30 14:18:53 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala2000.bib",
  note =         "Special Issue in honor of Friedrich Ludwig Bauer.",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
  remark =       "This short CV does NOT contain a list of Fritz Bauer's
                 publications.",
  subject-dates = "Friedrich (``Fritz'') Ludwig Bauer (10 June 1924--26
                 March 2015)",
}

@Article{Stewart:2006:NGH,
  author =       "G. W. Stewart",
  title =        "A note on generalized and hypergeneralized
                 projectors",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "412",
  number =       "2--3",
  pages =        "408--411",
  day =          "15",
  month =        jan,
  year =         "2006",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Mon Mar 13 16:56:11 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala2000.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  GWS-number =   "J119",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Stewart:2008:BGS,
  author =       "G. W. Stewart",
  title =        "Block {Gram--Schmidt} Orthogonalization",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "31",
  number =       "1",
  pages =        "761--775",
  month =        "????",
  year =         "2008",
  CODEN =        "SJOCE3",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Wed May 19 10:44:12 MDT 2010",
  bibsource =    "http://epubs.siam.org/toc/sjoce3/31/1;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  abstract =     "The classical Gram--Schmidt algorithm for computing
                 the QR factorization of a matrix $X$ requires at least
                 one pass over the current orthogonalized matrix $Q$ as
                 each column of $X$ is added to the factorization. When
                 $Q$ becomes so large that it must be maintained on a
                 backing store, each pass involves the costly transfer
                 of data from the backing store to main memory. However,
                 if one orthogonalizes the columns of $X$ in blocks of
                 $m$ columns, the number of passes is reduced by a
                 factor of $ 1 / m$. Moreover, matrix-vector products
                 are converted into matrix-matrix products, allowing
                 level-3 BLAS cache performance. In this paper we derive
                 such a block algorithm and give some experimental
                 results that suggest it can be quite effective for
                 large scale problems, even when the matrix $X$ is rank
                 degenerate.",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  GWS-number =   "J121",
  journal-URL =  "http://epubs.siam.org/sisc",
  keywords =     "blocked algorithm, Gram--Schmidt algorithm,
                 orthogonalization, QR factorization",
}

@Article{Lee:2009:AET,
  author =       "Che-Rung Lee and G. W. Stewart",
  title =        "{Algorithm 879}: {EIGENTEST} --- a test matrix
                 generator for large-scale eigenproblems",
  journal =      j-TOMS,
  volume =       "35",
  number =       "1",
  pages =        "7:1--7:11",
  month =        jul,
  year =         "2009",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/1377603.1377610",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Tue Aug 5 18:12:48 MDT 2008",
  bibsource =    "http://www.acm.org/pubs/contents/journals/toms/;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/fortran3.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  abstract =     "Eigentest is a package that produces real test
                 matrices with known eigensystems. A test matrix, called
                 an eigenmat, is generated in a factored form, in which
                 the user can specify the eigenvalues and has some
                 control over the condition of the eigenvalues and
                 eigenvectors. An eigenmat $A$ of order $n$ requires
                 only $ O(n) $ storage for its representation. Auxiliary
                 programs permit the computation of $ (A - s I) b $, $
                 (A - s I)^T b $, $ (A - s I)^{-1} b $, and $ (A - s
                 I)^{-T} b $ in $ O(n) $ operations. A special routine
                 computes specified eigenvectors of an eigenmat and the
                 condition of its eigenvalue. Thus eigenmats are
                 suitable for testing algorithms based on Krylov
                 sequences, as well as others based on matrix-vector
                 products. This article introduces the eigenmat and
                 describes implementations in Fortran 77, Fortran 95, C,
                 and Matlab.",
  acknowledgement = ack-nhfb,
  articleno =    "7",
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  GWS-number =   "J120",
  journal-URL =  "http://portal.acm.org/toc.cfm?idx=J782",
  keywords =     "eigensystem; test matrix generation",
  keywords =     "Eigensystem, test matrix generation",
}

@TechReport{Stewart:2009:FMP,
  author =       "G. W. Stewart",
  title =        "{Flap}: {A} {Matlab} Package for Adjustable Precision
                 Floating-Point Arithmetic",
  type =         "Report",
  institution =  inst-CS-U-MARYLAND,
  address =      inst-CS-U-MARYLAND:adr,
  year =         "2009",
  bibdate =      "Sun Jun 19 13:11:45 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/matlab.bib",
  URL =          "http://www.cs.umd.edu/~stewart/flap/flap.html",
  abstract =     "Flap is a package to implement floating-point
                 arithmetic with adjustable precision. Specifically,
                 operations are performed on Matlab doubles but are
                 rounded to a user specified number of decimal digits
                 after each operation. The number can be changed
                 dynamically. Flap is intended to make it easy to
                 generate examples of the effects of rounding error for
                 classroom use.",
  acknowledgement = ack-nhfb,
}

@TechReport{Stewart:2009:UCC,
  author =       "G. W. Stewart",
  title =        "An Unreliable Convergence Criterion for {Arnoldi}'s
                 Method",
  type =         "Technical Report",
  number =       "CMSC TR-4938",
  institution =  inst-CS-U-MARYLAND,
  address =      inst-CS-U-MARYLAND:adr,
  year =         "2009",
  bibdate =      "Fri May 30 07:30:55 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Stewart:2010:DF,
  author =       "G. W. Stewart",
  title =        "On Downdating {$ Q R $ } Factorizations",
  institution =  "Institute for Advanced Computer Studies, University of
                 Maryland",
  address =      "College Park, MD, USA",
  pages =        "1",
  year =         "2010",
  bibdate =      "Tue Mar 6 11:55:41 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-do,
}

@Article{Stewart:2010:SAM,
  author =       "G. W. Stewart",
  title =        "On the Semidefinite {$B$-Arnoldi} Method",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "31",
  number =       "3",
  pages =        "1458--1468",
  month =        "????",
  year =         "2010",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/090759252",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Tue May 18 22:32:37 MDT 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toclist/SIMAX/;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
  URL =          "http://link.aip.org/link/?SML/31/1458/1",
  abstract =     "The B-Arnoldi method is a variant of the ordinary
                 Arnoldi method in which orthogonalization is done with
                 respect to the inner product generated by a positive
                 definite matrix $B$. It arises in connection with the
                 generalized eigenvalue problem $ A x = \lambda B x$.
                 When $B$ is semidefinite, the algorithm can proceed
                 formally, with ``orthogonalization'' taking place in
                 the semi-inner product generated by $B$. However, it
                 has been observed that components of the Arnoldi
                 vectors lying in the null space of $B$ can grow
                 rapidly. In this paper we examine the source and
                 consequences of this growth.",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
  keywords =     "Arnoldi's method, B-inner product, null-space
                 component, semidefinite B",
}

@Unpublished{Stewart:2011:FHS,
  author =       "G. W. Stewart",
  title =        "{FREDHOLM}, {HILBERT}, {SCHMIDT}: Three Fundamental
                 Papers on Integral Equations. {Translated} with
                 commentary by {G. W. Stewart}",
  pages =        "iv + 137",
  day =          "15",
  month =        dec,
  year =         "2011",
  bibdate =      "Tue Mar 6 11:55:41 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  URL =          "http://www.umiacs.umd.edu/~stewart/FHS.pdf",
  abstract =     "In the first decade of the twentieth century, Ivar
                 Fredholm (1903), David Hilbert (1904), and Erhard
                 Schmidt (1907) published three papers on integral
                 equations that together advanced the topic from studies
                 of special cases to a well developed general theory.
                 This work presents English translations of these papers
                 along with a commentary by the translator.",
  acknowledgement = ack-do,
  remark =       "The Note to the Reader on page iii says: ``The
                 downloaded paper is for personal use only. Please, no
                 wholesale copying. At present I have no plans for
                 further publication, but that may change.''",
}

@Article{Stewart:2011:NAO,
  author =       "G. W. Stewart",
  title =        "On the Numerical Analysis of Oblique Projectors",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "32",
  number =       "1",
  pages =        "309--348",
  month =        "????",
  year =         "2011",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/100792093",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Thu Jun 9 09:09:08 MDT 2011",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/32/1;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
  URL =          "http://epubs.siam.org/simax/resource/1/sjmael/v32/i1/p309_s1;
                 http://link.aip.org/link/?SML/32/309/1",
  abstract =     "An oblique projector is an idempotent matrix whose
                 null space is oblique to its range, in contrast to an
                 orthogonal projector, whose null space is orthogonal to
                 its range. Oblique projectors arise naturally in many
                 applications and have a substantial literature. Missing
                 from that literature, however, are systematic
                 expositions of their numerical properties, including
                 their perturbation theory, their various
                 representations, their behavior in the presence of
                 rounding error, the computation of complementary
                 projections, and updating algorithms. This article is
                 intended to make a start at filling this gap. The first
                 part of the article is devoted to the first four of the
                 above topics, with particular attention given to
                 complementation. In the second part, stable algorithms
                 are derived for updating an XQRY representation of
                 projectors, which was introduced in the first part.",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
  keywords =     "$B$-orthogonality, oblique projector, Perturbation
                 theory, updating algorithms, XQRY form",
  onlinedate =   "March 31, 2011",
}

@InProceedings{Stewart:2011:WTE,
  author =       "G. W. Stewart",
  booktitle =    "{Householder Symposium XVIII on Numerical Linear
                 Algebra, June 12--17, 2011. Granlibakken Conference
                 Center \& Lodge, Tahoe City, California}",
  title =        "When Is Twice Enough? (The Oblique Case)",
  publisher =    "????",
  address =      "????",
  bookpages =    "x + 272",
  pages =        "220--221",
  year =         "2011",
  bibdate =      "Tue Mar 6 11:55:41 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  URL =          "http://www.maths.manchester.ac.uk/~higham/conferences/householder/HH11_Abstracts.pdf",
  acknowledgement = ack-do,
}

@TechReport{Stewart:2012:SLB,
  author =       "G. W. Stewart",
  title =        "Smooth local bases for perturbed eigenspaces",
  institution =  "Institute for Advanced Computer Studies, University of
                 Maryland",
  address =      "College Park, MD, USA",
  pages =        "8",
  year =         "2012",
  bibdate =      "Tue Mar 6 11:55:41 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-do,
}

@Article{Lam:2013:DFP,
  author =       "Michael O. Lam and Jeffrey K. Hollingsworth and G. W.
                 Stewart",
  title =        "Dynamic floating-point cancellation detection",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "39",
  number =       "3",
  pages =        "146--155",
  month =        mar,
  year =         "2013",
  CODEN =        "PACOEJ",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  MRclass =      "65Y04 (65G50)",
  MRnumber =     "3036891",
  bibdate =      "Wed Mar 27 07:19:15 MDT 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib;
                 http://www.sciencedirect.com/science/journal/01678191",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0167819112000622",
  acknowledgement = ack-nhfb,
  fjournal =     "Parallel Computing",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191/",
}

@Article{Guglielmi:2015:EAC,
  author =       "Nicola Guglielmi and Michael L. Overton and G. W.
                 Stewart",
  title =        "An Efficient Algorithm for Computing the Generalized
                 Null Space Decomposition",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "36",
  number =       "1",
  pages =        "38--54",
  month =        "????",
  year =         "2015",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/140956737",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F15 (65F30)",
  MRnumber =     "3302594",
  MRreviewer =   "Ana Marco",
  bibdate =      "Wed Jun 10 14:55:05 MDT 2015",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/36/1;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.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 2015",
}

@Article{Stewart:2016:CCR,
  author =       "G. W. Stewart",
  title =        "A Canonical {CS} Representation of a Pair of
                 Subspaces",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "37",
  number =       "2",
  pages =        "539--549",
  year =         "2016",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/15M1009573",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "15A18 (15A21 65F15 65F30)",
  MRnumber =     "3488164",
  bibdate =      "Tue May 31 10:48:14 2016",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/37/2;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.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 2016",
}

@Unpublished{Stewart:2016:CJE,
  author =       "G. W. Stewart",
  title =        "{Camille Jordan} 1875: Essay on the Geometry of $n$
                 Dimensions",
  pages =        "iv + 74",
  year =         "2016",
  bibdate =      "Tue Mar 6 11:55:41 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  URL =          "http://www.umiacs.umd.edu/~stewart/Jord75.pdf",
  abstract =     "In 1875 the French mathematician Camille Jordan
                 published a paper on geometry in $n$ dimensions with
                 the aim of generalizing results obtained for two and
                 three dimensions. Although he largely succeeded, his
                 paper is not much cited, principally because his
                 approach of defining planes as the solution space of
                 linear equations was superseded by vector space
                 methods. Yet there is much to be learned from this
                 paper. Here we give a partial translation from the
                 original French along with a commentary",
  acknowledgement = ack-do,
}

%%% ====================================================================
%%%    Part 2 (of 2) --- publications about G. W. Stewart and his works
%%%
%%% Bibliography entries, sorted by year, and then by citation label,
%%% with ``bibsort -byyear'':

@Article{Birkhoff:1980:BRC,
  author =       "Garrett Birkhoff",
  title =        "Book Review: {{\booktitle{Computational analysis with
                 the HP 25 pocket calculator}}, by Peter Henrici, John
                 Wiley, New York, 1977, 280 pp.; \booktitle{Compact
                 numerical methods for computers: linear algebra and
                 function minimization}, by J. C. Nash, John Wiley \&
                 Sons, New York, 1979, x + 227 pp.; \booktitle{LINPACK:
                 User's guide}, by J. J. Dongarra, J. R. Bunch, C. B.
                 Moler, and G. W. Stewart, Society for Industrial and
                 Applied Mathematics, Philadelphia, 1979 368 pp.}",
  journal =      j-BULL-AMS,
  volume =       "2",
  number =       "3",
  pages =        "503--505",
  month =        may,
  year =         "1980",
  CODEN =        "BAMOAD",
  DOI =          "https://doi.org/10.1090/S0273-0979-1980-14785-0",
  ISSN =         "0002-9904 (print), 1936-881X (electronic)",
  ISSN-L =       "0002-9904",
  bibdate =      "Wed Nov 01 08:26:39 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/henrici-peter.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  URL =          "https://www.ams.org/journals/bull/1980-02-03/S0273-0979-1980-14785-0/S0273-0979-1980-14785-0.pdf",
  acknowledgement = ack-nhfb,
  author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
  fjournal =     "Bulletin of the American Mathematical Society",
  gb-number =    "191b",
  journal-URL =  "http://www.ams.org/journals/bull/all_issues.html",
  subject-dates = "Peter Karl Henrici (13 September 1923--13 March
                 1987)",
}

@Article{Campbell:1981:RBU,
  author =       "Stephen L. Campbell",
  title =        "Review of {{\booktitle{Linpack User's Guide}} by J. J.
                 Dongarra, C. B. Moler, J. R. Bunch, and G. W.
                 Stewart}",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "39",
  number =       "??",
  pages =        "293--294",
  month =        aug,
  year =         "1981",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(81)90311-6",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Wed Nov 30 13:48:48 MST 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0024379581903116",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
}

@Article{Parlett:1981:BRBb,
  author =       "B. N. Parlett",
  title =        "Book Review: {{\booktitle{{LINPACK} Users' Guide}} (J.
                 J. Dongarra, J. R. Bunch, C. B. Moler and G. W.
                 Stewart)}",
  journal =      j-SIAM-REVIEW,
  volume =       "23",
  number =       "1",
  pages =        "126--128",
  month =        "????",
  year =         "1981",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1023033",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:53:16 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/23/1;
                 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/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 1981",
}

@Article{Plemmons:1981:RBM,
  author =       "R. J. Plemmons",
  title =        "Review of {{\booktitle{Sparse matrix proceedings
                 1978}}, edited by Iain S. Duff and G. W. Stewart}",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "40",
  number =       "??",
  pages =        "275--278",
  month =        oct,
  year =         "1981",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(81)90158-0",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Wed Nov 30 13:48:50 MST 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0024379581901580",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
}

@Article{Flamm:1982:RHE,
  author =       "David S. Flamm and Robert A. Walker",
  title =        "Remark on ``{Algorithm} 506: {HQR3} and {EXCHNG}:
                 {Fortran} Subroutines for Calculating and Ordering the
                 Eigenvalues of a Real Upper {Hessenberg} Matrix
                 [{F2}]''",
  journal =      j-TOMS,
  volume =       "8",
  number =       "2",
  pages =        "219--220",
  month =        jun,
  year =         "1982",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/355993.356002",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Tue Aug 30 00:28:07 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  note =         "See \cite{Stewart:1976:AHE}.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
}

@Article{OLeary:1990:BSP,
  author =       "Dianne P. O'Leary",
  title =        "On Bounds For Scaled Projections and Pseudo-Inverses",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "132",
  pages =        "115--117",
  year =         "1990",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(90)90056-I",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "15A60 (15A09 65F20)",
  MRnumber =     "91f:15056",
  MRreviewer =   "S. Lajos",
  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/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1990.bib",
  note =         "See \cite{Stewart:1989:SPP}.",
  abstract =     "Let $X$ be a matrix of full column rank, and let $D$
                 be a positive definite diagonal matrix. In a recent
                 paper, Stewart considered the weighted pseudoinverse $
                 X \dagger D = (X T D X)^{-1} X T D$ and the associated
                 oblique projection $ P D = X X \dagger D$, and gave
                 bounds, independent of $D$, for the norms of these
                 matrices. In this note, we answer a question he raised
                 by showing that the bounds are computable.",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
  keywords =     "la, projection, ginv",
}

@Article{Fraser:1995:BRBb,
  author =       "Craig Fraser",
  title =        "Book Review: {{\booktitle{Theoria combinationis
                 observationum erroribus minimis obnoxiae}} [(Latin)
                 [The theory of the combination of observations least
                 subject to error]] by Carl Friedrich Gauss; G. W.
                 Stewart}",
  journal =      j-ISIS,
  volume =       "86",
  number =       "4",
  pages =        "660--661",
  month =        dec,
  year =         "1995",
  CODEN =        "ISISA4",
  ISSN =         "0021-1753 (print), 1545-6994 (electronic)",
  ISSN-L =       "0021-1753",
  bibdate =      "Tue Jul 30 21:25:03 MDT 2013",
  bibsource =    "http://www.jstor.org/action/showPublication?journalCode=isis;
                 http://www.jstor.org/stable/i211225;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/isis1990.bib",
  URL =          "http://www.jstor.org/stable/235423",
  acknowledgement = ack-nhfb,
  fjournal =     "Isis",
  journal-URL =  "http://www.jstor.org/page/journal/isis/about.html",
}

@Article{Kincaid:1997:BRA,
  author =       "David R. Kincaid",
  title =        "Book Review: {{\booktitle{Afternotes on Numerical
                 Analysis}}, by G. W. Stewart}",
  journal =      j-SIAM-REVIEW,
  volume =       "39",
  number =       "1",
  pages =        "153--153",
  month =        mar,
  year =         "1997",
  CODEN =        "SIREAD",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Tue May 13 16:55:17 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib;
                 http://www.siam.org/journals/sirev/sirev391.htm",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
}

@Article{Serbin:1997:BRA,
  author =       "Steven M. Serbin",
  title =        "Book Reviews: {{\booktitle{Afternotes on numerical
                 analysis}}, by G. W. Stewart}",
  journal =      j-MATH-COMPUT,
  volume =       "66",
  number =       "219",
  pages =        "1367--1374",
  month =        jul,
  year =         "1997",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Fri Jul 16 10:38:45 MDT 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{King:1999:BRA,
  author =       "J. Thomas King",
  title =        "Book Reviews: {{\booktitle{Afternotes goes to graduate
                 school, lectures in advanced numerical analysis}}, by
                 G. W. Stewart}",
  journal =      j-MATH-COMPUT,
  volume =       "68",
  number =       "226",
  pages =        "887--891",
  month =        apr,
  year =         "1999",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Mon Jul 26 12:48:16 1999",
  bibsource =    "http://www.ams.org/mcom/1999-68-226;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
  URL =          "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-99-01060-1&u=/mcom/1999-68-226/",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{Huckaby:2003:CSQ,
  author =       "David A. Huckaby and Tony F. Chan",
  title =        "On the Convergence of {Stewart}'s {QLP} Algorithm for
                 Approximating the {SVD}",
  journal =      j-NUMER-ALGORITHMS,
  volume =       "32",
  number =       "2--4",
  pages =        "287--316",
  month =        apr,
  year =         "2003",
  CODEN =        "NUALEG",
  ISSN =         "1017-1398 (print), 1572-9265 (electronic)",
  ISSN-L =       "1017-1398",
  bibdate =      "Mon Sep 29 08:37:11 MDT 2003",
  bibsource =    "http://www.kluweronline.com/issn/1017-1398;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
  URL =          "http://ipsapp007.kluweronline.com/content/getfile/5058/45/10/abstract.htm;
                 http://ipsapp007.kluweronline.com/content/getfile/5058/45/10/fulltext.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Algorithms",
  journal-URL =  "http://link.springer.com/journal/11075",
}

@Article{Chen:2004:ARS,
  author =       "Guizhi Chen and Zhongxiao Jia",
  title =        "An analogue of the results of {Saad} and {Stewart} for
                 harmonic {Ritz} vectors",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "167",
  number =       "2",
  pages =        "493--498",
  day =          "1",
  month =        jun,
  year =         "2004",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 12:59:58 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2000.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0377042703009403",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Priest:2004:ESC,
  author =       "Douglas M. Priest",
  title =        "Efficient scaling for complex division",
  journal =      j-TOMS,
  volume =       "30",
  number =       "4",
  pages =        "389--401",
  month =        dec,
  year =         "2004",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/1039813.1039814",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Tue Apr 12 06:34:31 MDT 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/toms/;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  abstract =     "We develop a simple method for scaling to avoid
                 overflow and harmful underflow in complex division. The
                 method guarantees that no overflow will occur unless at
                 least one component of the quotient must overflow,
                 otherwise the normwise error in the computed result is
                 at most a few units in the last place. Moreover, the
                 scaling requires only four floating point
                 multiplications and a small amount of integer
                 arithmetic to compute the scale factor. Thus, on many
                 modern CPUs, our method is both safer and faster than
                 Smith's widely used algorithm.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  keywords =     "complex division",
}

@Article{Huckaby:2005:SPQ,
  author =       "D. A. Huckaby and T. F. Chan",
  title =        "{Stewart}'s pivoted {QLP} decomposition for low-rank
                 matrices",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "12",
  number =       "2--3",
  pages =        "153--159",
  month =        mar # "\slash " # apr,
  year =         "2005",
  CODEN =        "NLAAEM",
  DOI =          "https://doi.org/10.1002/nla.404",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  bibdate =      "Sat May 14 10:12:15 MDT 2005",
  bibsource =    "http://www.interscience.wiley.com/jpages/1070-5325;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.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 =   "29 Sep 2004",
}

@Article{Schilders:2008:BMU,
  author =       "W. H. A. Schilders and P. B. L. Meijer and E.
                 Ciggaar",
  title =        "Behavioural modelling using the {MOESP} algorithm,
                 dynamic neural networks and the {Bartels--Stewart}
                 algorithm",
  journal =      j-APPL-NUM-MATH,
  volume =       "58",
  number =       "12",
  pages =        "1972--1993",
  month =        dec,
  year =         "2008",
  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/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/applnummath.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Numerical Mathematics: Transactions of IMACS",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01689274/",
}

@InCollection{Duff:2010:BGW,
  author =       "Iain S. Duff",
  title =        "Biography of {G. W. Stewart}",
  crossref =     "Kilmer:2010:GWS",
  pages =        "3--9",
  year =         "2010",
  DOI =          "https://doi.org/10.1007/978-0-8176-4968-5_1",
  MRclass =      "01A70",
  MRnumber =     "2731850",
  bibdate =      "Wed Apr 27 09:14:27 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  series =       "Contemp. Mathematicians",
  acknowledgement = ack-nhfb,
}

@Misc{Kahan:2010:PUC,
  author =       "W. Kahan",
  title =        "{Pete}'s unsung contribution to {IEEE Standard 754}
                 for binary floating-point: a talk at a conference to
                 celebrate {G. W. ``Pete'' Stewart}'s 70th Birthday",
  howpublished = "Lecture slides",
  pages =        "18",
  day =          "19",
  month =        jul,
  year =         "2010",
  bibdate =      "Wed Aug 07 15:43:36 2024",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  URL =          "https://people.eecs.berkeley.edu/~wkahan/19July10.pdf",
  acknowledgement = ack-nhfb,
}

%%% ====================================================================
%%% Cross-referenced entries must come last; entries are sorted by year,
%%% and then by citation label, with `bibsort --byyear':

@Proceedings{Dejon:1969:CAF,
  editor =       "Bruno Dejon and Peter Henrici",
  booktitle =    "Constructive Aspects of the Fundamental Theorem of
                 Algebra: proceedings of a symposium conducted at the
                 {IBM Research Laboratory, Z{\"u}rich-R{\"u}schlikon,
                 Switzerland, June 5--7, 1967}",
  title =        "Constructive Aspects of the Fundamental Theorem of
                 Algebra: proceedings of a symposium conducted at the
                 {IBM Research Laboratory, Z{\"u}rich-R{\"u}schlikon,
                 Switzerland, June 5--7, 1967}",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "337",
  year =         "1969",
  ISBN =         "0-471-20300-9",
  ISBN-13 =      "978-0-471-20300-1",
  LCCN =         "QA212 .C65",
  bibdate =      "Sun Jan 27 19:57:13 2019",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/henrici-peter.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  ZMnumber =     "0175.00104",
  acknowledgement = ack-nhfb,
  author-dates = "Peter Karl Henrici (13 September 1923--13 March
                 1987)",
  subject =      "Equations, Roots of; Congresses; Fundamental theorem
                 of algebra; Congresses",
  tableofcontents = "A never failing, fast convergent root-finding
                 algorithm / B. Dejon and K. Nickel \\
                 Finding a zero by means of successive linear
                 interpolation / T. J. Dekker \\
                 Remarks on the paper by Dekker / G. E. Forsythe \\
                 What is a satisfactory quadratic equation solver? / G.
                 E. Forsythe \\
                 Mathematical and physical polynomials / L. Fox \\
                 A constructive form of the second Gauss proof of the
                 Fundamental Theorem of Algebra / R. L. Goodstein \\
                 Uniformly convergent algorithms for the simultaneous
                 approximation of all zeros of a polynomial / P. Henrici
                 and I. Gargantini \\
                 On the notion of constructivity / H. Hermes \\
                 Bigradients, Hankel determinants, and the Pad{\'e}
                 table / A. S. Householder and G. W. Stewart \\
                 An algorithm for an automatic general polynomial solver
                 / M. A. Jenkins and J. F. Traub \\
                 Die numerische Bestimmung mehrfacher und nahe
                 benachbarter polynomnullstellen nach einem verbesserten
                 Bernoulli-Verfahren / I. Kupka \\
                 Search procedures for polynomial equation solving / D.
                 H. Lehmer \\
                 A method for automatic solution of algebraic equations
                 / A. M. Ostrowski \\
                 Iteration functions for solving polynomial matrix
                 equations / M. Pavel-Parvu and A. Korganoff \\
                 Problematik der Nullstellenbestimmung bei polynomen /
                 H. Rutishauser \\
                 Factorization of polynomials by generalized Newton
                 procedures / J. Schroder \\
                 The fundamental theorem of algebra in recursive
                 analysis / E. Specker",
}

@Proceedings{Rosenfeld:1974:IPP,
  editor =       "Jack L. Rosenfeld",
  booktitle =    "Information processing, 1974; Proceedings of {IFIP}
                 Congress 74, Stockholm, Sweden, August 5--10, 1974",
  title =        "Information processing, 1974; Proceedings of {IFIP}
                 Congress 74, Stockholm, Sweden, August 5--10, 1974",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "xxi + 1106",
  year =         "1974",
  ISBN =         "0-444-10689-8, 0-7204-2803-3",
  ISBN-13 =      "978-0-444-10689-6, 978-0-7204-2803-2",
  LCCN =         "QA 76 I615",
  bibdate =      "Mon Jul 18 10:10:46 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
  tableofcontents = "Vol. 1. Computer hardware and architecture \\
                 vol. 2. Software \\
                 vol. 3. Mathematical aspects of information processing
                 \\
                 vol. 4. Technological and scientific applications.
                 Applications in the social sciences and humanities \\
                 vol. 5. Systems for management and administration",
}

@Proceedings{Miller:1975:TNA,
  editor =       "John J. H. Miller",
  booktitle =    "{Topics in numerical analysis II: proceedings of the
                 Royal Irish Academy Conference on Numerical Analysis,
                 1974}",
  title =        "{Topics in numerical analysis II: proceedings of the
                 Royal Irish Academy Conference on Numerical Analysis,
                 1974}",
  publisher =    "Published for the Royal Irish Academy by Academic
                 Press",
  address =      "London, UK",
  pages =        "xiv + 266",
  year =         "1975",
  ISBN =         "0-323-14134-X, 0-12-496952-6 (e-book), 0-323-14134-X
                 (e-book)",
  ISBN-13 =      "978-0-323-14134-5, 978-0-12-496952-0 (e-book),
                 978-0-323-14134-5 (e-book)",
  LCCN =         "QA297 .R69",
  bibdate =      "Wed May 28 17:28:41 MDT 2014",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  URL =          "http://catalog.hathitrust.org/api/volumes/oclc/6100019.html;
                 http://www.sciencedirect.com/science/book/9780124969520",
  abstract =     "Topics in Numerical Analysis II.",
  acknowledgement = ack-nhfb,
  subject =      "Numerical analysis -- Congresses; Numerical analysis",
  tableofcontents = "Preface \\
                 Names and Addresses of Invited Speakers \\
                 Titles and Authors of Contributed Papers \\
                 Names and Addresses of Presenters of Contributed Papers
                 \\
                 Table of Contents \\
                 Chapter 1. On a Discretization of $yn + (Sn(NUBk = 0))$
                 \\
                 Section 1 \\
                 Section 2 \\
                 Section 3 \\
                 Section 4 \\
                 Section 5 \\
                 References \\
                 Chapter 2. Some Applications of Approximation Theory to
                 Numerical Analysis \\
                 Introduction \\
                 1. Indirect Continuous Approximation to Solutions of
                 Linear Functional Equations with Respect to a given Set
                 of Functions \\
                 2. Indirect Discrete Approximation to the Solution of a
                 Functional Equation \\
                 3. Discrete Approximation to Solutions of Boundary
                 Value Problems \\
                 4. Error Estimates for Discretization Methods for Data
                 with Less Restrictive Structure \\
                 References \\
                 Chapter 3. Interior Regularity and Local Convergence of
                 Galerkin Finite Element Approximations for Elliptic
                 Equations \\
                 1. Introduction \\
                 2. Hypotheses \\
                 3. Preliminaries \\
                 4. Interior Regularity and Local Convergence \\
                 5. Finite Differences \\
                 References \\
                 Chapter 4. Numerical Estimates for the Error of
                 Gauss-Jacobi Quadrature Formulae \\
                 1. Introduction \\
                 2. The Numerical Estimation of the Error Term \\
                 3. On the Error of Pad{\'e} Approximation \\
                 4. On the Calculation of Elliptic Integrals \\
                 References \\
                 Chapter 5. Some Remarks on the Unified Treatment of
                 Elementary Functions by Microprogramming \\
                 1. Introduction \\
                 2. Chen's Algorithms \\
                 3. General Classification of Known Algorithms \\
                 4. Perle's Application of CORDIC \\
                 5. Remark on the Square Root through Hyperbolic CORDIC
                 \\
                 References \\
                 Addenda \\
                 Chapter 6. Application of Finite Difference Methods to
                 Exploration Seismology \\
                 Introduction \\
                 Formulation of Seismic Exploration Model \\
                 Finite-Difference Models \\
                 Grid Dispersion \\
                 Results \\
                 Edge Reflections \\
                 Conclusions \\
                 References \\
                 Chapter 7. Variable Coefficient Multistep Methods for
                 Ordinary Differential Equations applied to Parabolic
                 Partial Differential Equations \\
                 1. Semi-discretization \\
                 2. Variable Coefficient Multistep Methods (VCMM) \\
                 3. Examples \\
                 Acknowledgment \\
                 References \\
                 Chapter 8. Realistic Estimates for Generic Constants in
                 Multivariate Pointwise Approximation \\
                 1. Introduction \\
                 2. The General Problem of Error Estimation \\
                 3. Taylor's Formula and Relevant Algebraic Topics \\
                 4. Sharp Appraisals for Practical Error Coefficients of
                 Chebyshev Type \\
                 5. Two Examples of Application \\
                 References \\
                 Chapter 9. Matching of Essential Boundary Conditions in
                 the Finite Element Method \\
                 1. Introduction \\
                 2. Blending Function Interpolants \\
                 3. Transfinite Mappings \\
                 4. Isoparametric Elements \\
                 5. Direct Methods \\
                 References \\
                 Chapter 10. Collocation, Difference Equations, and
                 Stitched Function Representations \\
                 Abstract \\
                 1. Introduction \\
                 2. Collocation by Piecewise Smooth Functions \\
                 3. An $m$th Order Difference Approximation \\
                 4. A Class of Intermediate Schemes \\
                 References \\
                 Chapter 11. A New Approach to Matrix Theory or Many
                 Facets of the Matrix Decomposition Theorem",
}

@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",
}

@Proceedings{Hoaglin:1976:CSS,
  editor =       "David C. (David Caster) Hoaglin and Roy E. (Roy Elmer)
                 Welsch",
  booktitle =    "{Proceedings of the Ninth Interface Symposium on
                 Computer Science and Statistics / Harvard University,
                 Massachusetts Institute of Technology, April 1--2,
                 1976}",
  title =        "{Proceedings of the Ninth Interface Symposium on
                 Computer Science and Statistics / Harvard University,
                 Massachusetts Institute of Technology, April 1--2,
                 1976}",
  publisher =    "Prindle, Weber and Schmidt, Inc.",
  address =      "Boston, MA, USA",
  pages =        "x + 323",
  year =         "1976",
  ISBN =         "0-87150-237-2",
  ISBN-13 =      "978-0-87150-237-7",
  LCCN =         "QA276 C73 1976",
  bibdate =      "Thu May 29 16:21:16 MDT 2014",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
  subject =      "Proceedings.; Statistical Methods/ Probability.;
                 Computer Programming.",
}

@Book{Rice:1977:MSS,
  editor =       "John R. (John Rischard) Rice",
  booktitle =    "{Mathematical Software Symposium, University of
                 Wisconsin, Madison, 1977. 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 Symposium, University of
                 Wisconsin, Madison, 1977. 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",
  ISBN =         "0-12-587260-7 (hardcover)",
  ISBN-13 =      "978-0-12-587260-7 (hardcover)",
  LCCN =         "QA3 .U45 no. 39; QA297 .M36 1977",
  MRnumber =     "68-03 01-06 68Nxx",
  bibdate =      "Sat Oct 22 18:23:16 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  series =       "Publication of the Mathematics Research Center, the
                 University of Wisconsin, Madison",
  URL =          "http://zbmath.org/?q=an:0234.68003",
  ZMnumber =     "0234.68003",
  acknowledgement = ack-nhfb,
}

@Proceedings{deBoor:1978:SRA,
  editor =       "Carl de Boor and Gene H. Golub",
  booktitle =    "{Symposium on Recent Advances in Numerical Analysis
                 (1978: Madison, Wis.). Recent Advances in Numerical
                 Analysis: Proceedings of a Symposium Conducted by the
                 Mathematics Research Center, the University of
                 Wisconsin, Madison, May 22--24, 1978}",
  title =        "{Symposium on Recent Advances in Numerical Analysis
                 (1978: Madison, Wis.). Recent Advances in Numerical
                 Analysis: Proceedings of a Symposium Conducted by the
                 Mathematics Research Center, the University of
                 Wisconsin, Madison, May 22--24, 1978}",
  volume =       "41",
  organization = "Army Mathematics Research Center",
  publisher =    pub-ACADEMIC,
  address =      pub-ACADEMIC:adr,
  pages =        "ix + 270",
  year =         "1978",
  ISBN =         "0-12-208360-1",
  ISBN-13 =      "978-0-12-208360-0",
  LCCN =         "QA3 .U45 no. 41; QA297 S994 1978",
  MRclass =      "65-06",
  MRnumber =     "80a:65016",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  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/r/rice-john-r.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  series =       "Publication of the Mathematics Research Center, the
                 University of Wisconsin, Madison",
  URL =          "http://catalog.hathitrust.org/api/volumes/oclc/65991765.html;
                 http://www.gbv.de/dms/hbz/toc/ht001227727.pdf",
  acknowledgement = ack-nhfb,
  keywords =     "na; numerical analysis --- congresses; proceedings",
  remark =       "See review in Mathematics of Computation, Vol. 38, No.
                 158 (Apr., 1982), p. 654.",
  tableofcontents = "Contributors / / vii \\
                 Preface / / ix \\
                 Positive Functions and Some Applications to Stability
                 Questions for Numerical Methods / Germund Dahlquist / 1
                 \\
                 Constructive Polynomial Approximation in Sobolev Spaces
                 / Todd Dupont and Ridgway Scott / 31 \\
                 Questions of Numerical Condition Related to Polynomials
                 / Walter Gautschi / 45 \\
                 Global Homotopies and Newton Methods / Herbert B.
                 Keller / 73 \\
                 Problems with Different Time Scales / Heinz-Otto Kreiss
                 / 95 \\
                 Accuracy and Resolution in the Computation of Solutions
                 of Linear and Nonlinear Equations / Peter D. Lax / 107
                 \\
                 Finite Element Approximations to the One- Dimensional
                 Stefan Problem / J. A. Nitsche / 119 \\
                 The Hodie Method and Its Performance for Solving
                 Elliptic Partial Differential Equations / Robert E.
                 Lynch and John R. Rice / 143 \\
                 Solving ODE's with Discrete Data in SPEAKEASY / L. F.
                 Shampine / 177 \\
                 Perturbation Theory for the Generalized Eigenvalue
                 Problem / G. W. Stewart / 193 \\
                 Some Remarks on Good, Simple, and Optimal Quadrature
                 Formulas / H. F. Weinberger / 207 \\
                 Linear Differential Equations and Kronecker's Canonical
                 Form / J. H. Wilkinson / 231 \\
                 Index / / 267",
}

@Proceedings{Duff:1979:SMP,
  editor =       "Iain S. Duff and G. W. Stewart",
  booktitle =    "{Sparse Matrix. Proceedings 1978: Symposium held in
                 the Hyatt Regency, Knoxville, Tennessee on November
                 2--3, 1978}",
  title =        "{Sparse Matrix. Proceedings 1978: Symposium held in
                 the Hyatt Regency, Knoxville, Tennessee on November
                 2--3, 1978}",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xvi + 334",
  year =         "1979",
  ISBN =         "0-89871-160-6",
  ISBN-13 =      "978-0-89871-160-8",
  LCCN =         "QA188 S9 1978",
  MRclass =      "65-06",
  MRnumber =     "81f:65003",
  bibdate =      "Wed Jan 17 09:24:26 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gay-david-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  URL =          "http://www.gbv.de/dms/hbz/toc/ht000381636.pdf",
  acknowledgement = ack-nhfb,
  GWS-number =   "N11",
  tableofcontents = "Introduction / vii \\
                 Solution of Sparse Stiffness Matrices for Structural
                 Systems / Edward L. Wilson / 1 \\
                 Linear Programming Problems Arising from Partial
                 Differential Equations / Dianne P. O'Leary / 25 \\
                 Shifted Incomplete Cholesky Factorization / Thomas A.
                 Manteuffel / 41 \\
                 Algorithmic Aspects of the Multi-Level Solution of
                 Finite Element Equations / Randolph E. Bank and A. H.
                 Sherman / 62 \\
                 LASCALA --- A Language for Large Scale Linear Algebra /
                 A. W. Westerberg and T. J. Berna / 90 \\
                 Practical Comparisons of Codes for the Solution of
                 Sparse Linear Systems / Iain S. Duff / 107 \\
                 Software for Sparse Gaussian Elimination with Limited
                 Core Storage / S. C. Eisenstat, M. H. Schultz, and A.
                 H. Sherman / 135 \\
                 A Quotient Graph Model for Symmetric Factorization /
                 Alan George and Joseph W. H. Liu / 154 \\
                 The Use of Sparse Matrices for Image Reconstruction
                 from Projections / Gabor T. Herman / 176 \\
                 Row-Generation Methods for Feasibility and Optimization
                 Problems Involving Sparse Matrices and Their
                 Applications \\
                 Yair Censor and Gabor T. Herman / 197 \\
                 Lanczos and the Computation in Specified Intervals of
                 the Spectrum of Large, Sparse Real Symmetric Matrices
                 \\
                 Jane Cullum and Ralph A. Willoughby / 220 \\
                 Systolic Arrays (for VLSI) / H. T. Kung and Charles E.
                 Leiserson / 256 \\
                 A Basis Factorization Method for Block Triangular
                 Linear Programs / Andre F. Perold and George B. Dantzig
                 / 283 \\
                 On Combining the Schemes of Reid and Saunders for
                 Sparse LP Bases / David M. Gay / 313",
}

@Proceedings{Kaagstrom:1983:MPP,
  editor =       "Bo K{\aa}gstr{\"o}m and Axel Ruhe",
  booktitle =    "{Matrix Pencils: Proceedings of a Conference Held at
                 Pite Havsbad, Sweden, March 22--24, 1982}",
  title =        "{Matrix Pencils: Proceedings of a Conference Held at
                 Pite Havsbad, Sweden, March 22--24, 1982}",
  volume =       "973",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xi + 293",
  year =         "1983",
  CODEN =        "LNMAA2",
  DOI =          "https://doi.org/10.1007/BFb0062089",
  ISBN =         "0-387-11983-3, 3-540-11983-3 (print), 3-540-39447-8
                 (e-book)",
  ISBN-13 =      "978-0-387-11983-0, 978-3-540-11983-8 (print),
                 978-3-540-39447-1 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  LCCN =         "QA3 .L28 no. 973",
  bibdate =      "Tue May 6 14:53:45 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/lnm1980.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       ser-LECT-NOTES-MATH,
  URL =          "http://link.springer.com/book/10.1007/BFb0062089;
                 http://www.springerlink.com/content/978-3-540-39447-1",
  acknowledgement = ack-nhfb,
  series-URL =   "http://link.springer.com/bookseries/304",
  subject =      "Eigenvalues; Congresses; Matrix pencils; Numerical
                 analysis",
  tableofcontents = "A. General $(A-A B)$-Pencils \\
                 \\
                 A.1 Canonical Reductions --- Theory and Algorithms \\
                 \\
                 J. Demmel / The condition number of equivalence
                 transformations that block diagonalize matrix pencils /
                 2 \\
                 V. N. Kublanovskaya / An approach to solving the
                 spectral problem of $A - A B$ / 17 \\
                 B. Kagstr{\"o}m / On computing the Kronecker canonical
                 form of regular $(A - A B)$-pencils / 30 \\
                 P. Van Dooren / Reducing subspaces --- definitions,
                 properties, and algorithms / 58 \\
                 \\
                 A.2 Aspects from Differential Equations / / 74 \\
                 \\
                 C. W. Gear, L. R. Petzold / Differential/algebraic
                 systems and matrix pencils / 75 \\
                 K-M. Liu, E. L. Ortiz / Approximation of eigenvalues
                 defined by ordinary differential equations with the Tau
                 method / 90 \\
                 \\
                 A.3 Algorithms for Large Sparse Unsymmetric $(A - A
                 I)$-Problems / 103 \\
                 \\
                 A. Ruhe / The two-sided Arnoldi algorithm for
                 nonsymmetric eigenvalue problems / 104 \\
                 Y. Saad / Projection methods for solving large sparse
                 eigenvalue problems / 121 \\
                 \\
                 B. Symmetric $(A - A B)$-Pencils and Applications / /
                 145 \\
                 \\
                 L. Aasland, P. Bj{\o}rstad / The generalized eigenvalue
                 problem in ship design and offshore industry --- a
                 comparison of traditional methods with the Lanczos
                 process / 146 \\
                 E. G. Carnoy, M. Geradin / On the practical use of the
                 Lanczos algorithm in finite element applications to
                 vibration and bifurcation problems / 156 \\
                 T. Ericsson / Implementation and applications of the
                 spectral transformation Lanczos algorithm / 177 \\
                 D. J. Evans / Preconditioned iterative methods for the
                 generalized eigenvalue problem / 189 \\
                 A. Jennings / On bounds for symmetric eigenvalue
                 problems / 195 \\
                 \\
                 C. Generalized Singular Values and Data Analysis / /
                 206 \\
                 \\
                 G. W. Stewart / A method for computing the generalized
                 singular value decomposition / 207 \\
                 J-G. Sun / Perturbation analysis for the generalized
                 eigenvalue and the generalized singular value problem /
                 221 \\
                 C. Van Loan / A generalized SVD analysis of some
                 weighting methods for equality constrained least
                 squares / 245 \\
                 P-{\AA}. Wedin / On angles between subspaces / 263 \\
                 S. Wold, H. Martens, H. Wold / The multivariate
                 calibration problem in chemistry solved by the PLS
                 method / 286",
}

@Book{Cowell:1984:SDM,
  editor =       "Wayne R. Cowell",
  booktitle =    "Sources and Development of Mathematical Software",
  title =        "Sources and Development of Mathematical Software",
  publisher =    pub-PH,
  address =      pub-PH:adr,
  pages =        "xii + 404",
  year =         "1984",
  ISBN =         "0-13-823501-5",
  ISBN-13 =      "978-0-13-823501-7",
  LCCN =         "QA76.95 .S68 1984",
  bibdate =      "Tue Dec 14 22:44:45 1993",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/fortran2.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib",
  series =       "Prentice-Hall Series in Computational Mathematics,
                 Cleve Moler, Advisor",
  acknowledgement = ack-nhfb,
  tableofcontents = "Observations on the mathematical software effort /
                 W. J. Cody \\
                 LINPACK: A package for solving linear systems / J. J.
                 Dongarra and G. W. Stewart \\
                 FUNPACK: A package of special function routines / W. J.
                 Cody \\
                 EISPACK: A package for solving matrix eigenvalue
                 problems / J. J. Dongarra and C. B. Moler \\
                 The MINPACK project / J. More, D. Sorensen, B. Garbow,
                 and K. Hillstrom \\
                 Software for ordinary differential equations / L. F.
                 Shampine and H. A. Watts \\
                 Sources of information on quadrature software / D.
                 Kahaner \\
                 A survey of sparse matrix software / Iain S. Duff \\
                 Mathematical software for elliptic boundary value
                 problems \\
                 Ronald F. Boisvert and Roland A. Sweet \\
                 The IMSL Library / Thomas J. Aird \\
                 The SLATEC common mathematical library / Bill L. Buzbee
                 \\
                 The Boeing mathematical software library / A. H.
                 Erisman, K. W. Neves, and I. R. Philips \\
                 The PORT mathematical subroutine Library / Phyllis Fox
                 \\
                 The evolving NAG library service / Brian Ford and James
                 C. T. Pool",
}

@Proceedings{Iazeolla:1984:MCP,
  editor =       "Giuseppe Iazeolla and Pierre Jacques Courtois and A.
                 Hordijk",
  booktitle =    "{Mathematical computer performance and reliability:
                 proceedings of the International workshop: Pisa, Italy,
                 September 26--30, 1983}",
  title =        "{Mathematical computer performance and reliability:
                 proceedings of the International workshop: Pisa, Italy,
                 September 26--30, 1983}",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "x + 429",
  year =         "1984",
  ISBN =         "0-444-86892-5",
  ISBN-13 =      "978-0-444-86892-3",
  LCCN =         "QA76.9.E94 M37 1984",
  bibdate =      "Thu May 29 16:27:23 MDT 2014",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  URL =          "http://catalog.hathitrust.org/api/volumes/oclc/10505592.html;
                 http://www.dandelon.com/servlet/download/attachments/dandelon/ids/DE004D409A71E004A5EA4C12579DE00471484.pdf",
  acknowledgement = ack-nhfb,
  subject =      "Matematica applicata - Congressi - 1983; Elaborazione
                 elettronica dei dati - Modelli matematici- Congressi -
                 1983; Congressi - Pisa - 1983",
  tableofcontents = "Part I: Queueing System Models \\
                 \\
                 1.1. Decomposability in General Markovian Networks / S.
                 Balsamo (University of Pisa, Dipartimento di
                 Informatica, Italy) / 3 \\
                 \\
                 1.2. On the Analysis of Two-Dimensional Queueing
                 Problems / J. W. Cohen (University of Utrecht,
                 Mathematical Institute, The Netherlands) / 17 \\
                 \\
                 1.3. Diffusion Approximations for
                 Computer/Communications Systems / E. G. Coffman and M.
                 I. Reiman (Bell Labs, Murray Hill, USA) / 33 \\
                 \\
                 1.4. On Functional Equations for One or Two Complex
                 Variables Arising in the Analysis of Stochastic Models
                 / \\
                 G. Fayolle (INRIA, Rocquencourt, France) / 55 \\
                 \\
                 1.5. Insensitivity for Stochastic Networks / A. Hordijk
                 (University of Leiden, Dept. of Mathematics and
                 Computer Science, The Netherlands) / 77 \\
                 \\
                 1.6. Aggregation and Disaggregation in Queueing
                 Networks: The Principle of Product-Form Synthesis / S.
                 Balsamo and G. Iazeolla (University of Pisa,
                 Dipartimento di Informatica, Italy) / 95 \\
                 \\
                 1.7. The Dependence of Sojourn Times in Closed Queueing
                 Networks / F.P. Kelly (University of Cambridge,
                 Statistical Laboratory, England) / 111 \\
                 \\
                 1.8. On the Existence and Uniqueness of the Homogeneous
                 Network / R. Marie and G. Rubino (IRISA/INRIA, Rennes,
                 France) / 123 \\
                 \\
                 1.9. Problems of Reducibility in Structured Markov
                 Chains of M/G/l Type and Related Queueing Models in
                 Communication Engineering / M. F. Neuts (University of
                 Delaware, Dept. of Mathematics, USA) / 139 \\
                 \\
                 1.10. Weak D-Markov Chain and its Application to a
                 Queueing Network / Y. Takahashi (University of Tohoku,
                 Dept. of Economics, Japan) / 153 \\
                 \\
                 1.11. A Renewal Approximation for the Generalized
                 Switched Poisson Process / P. Tran-Gia (University of
                 Stuttgart, Inst. of Switching and Data Technics, W.
                 Germany) / 167 \\
                 \\
                 1.12. Multi-Armed Bandit Problems and Resource Sharing
                 Systems / P. Varaiya and J. Walrand (University of
                 California, Berkeley, Dept. of Computer Sciences, USA)
                 / 181 \\
                 \\
                 Part II: Approximation Techniques \\
                 \\
                 2.1. Iterative Aggregation/Disaggregation Methods / F.
                 Chatelin (University of Grenoble, Lab. IMAG, France). .
                 / 199 \\
                 \\
                 2.2. Error Bounds for the Analysis by Decomposition of
                 Non-Negative Matrices / P. J. Courtois and P. Semal
                 (Philips Research, Brussels, Belgium) / 209 \\
                 \\
                 2.3. A Perspective on Iterative Methods for the
                 Approximate Analysis of Closed Queueing Networks / E.
                 de Souza e Silva, S. S. Lavenberg and R. R. Muntz
                 (Computer Science Department, UCLA, Los Angeles, USA)
                 (IBM Research Center, Yorktown Heights, USA) / 225 \\
                 2.4. Fixed-Point Approximations for Distributed Systems
                 / I. Mitrani (University of Newcastle upon Tyne,
                 Computing Lab., England) / 245 \\
                 \\
                 2.5. An Aggregation Principle for Computing Invariant
                 Probability Vectors for Semi-Markovian Models / R.
                 Schassberger (Technical University of Berlin, Dept. of
                 Mathematics, W. Germany) / 259 \\
                 \\
                 2.6. Aggregation Methods for Large Markov Chains / P.
                 J. Schweitzer (University of Rochester, Graduate School
                 of Management, USA) / 275 \\
                 \\
                 2.7. On the Structure of Nearly Uncoupled Markov Chains
                 / G. W. Stewart (University of Maryland, Dept. of
                 Computer Science, USA) / 287 \\
                 \\
                 2.8. A Bound Problem in the Modeling of Computer
                 Systems and Queueing Networks / C. P. Tan (University
                 of Malaya, and Columbia University, Dept. of \\
                 Mathematical Statistics, USA) / 303 \\
                 \\
                 Part III: Performance and Reliability Models \\
                 \\
                 3.1. Performance Analysis of the
                 Checkpoint-Rollback-Recovery System via Diffusion
                 Approximation / A. Duda (University of Paris-Sud, ISEM,
                 France) / 315 \\
                 \\
                 3.2. Modelling the Execution of Block Structured
                 Processes with Hardware and Software Failures / E.
                 Gelenbe* and I. Mitrani** (* University of Paris-Sud,
                 ISEM, France) (** University of Newcastle upon Tyne,
                 Computing Lab., England) / 329 \\
                 \\
                 3.3. Trustable Evaluation of Computer Systems
                 Dependability / J.-C. Laprie (LAAS, CNRS, France) / 341
                 \\
                 \\
                 3.4. Performability Modeling of Distributed Real-Time
                 Systems / J. F. Meyer (University of Michigan,
                 Computing Research Lab., USA) / 361 \\
                 \\
                 3.5. Some Results on Database Locking: Solutions,
                 Computational Algorithms and Asymptotics / D. Mitra and
                 P. J. Weinberger (Bell Labs, Murray Hill, USA) / 373
                 \\
                 \\
                 3.6. A Golden Ratio Control Policy for a Communication
                 Channel / A. Itai and Z. Rosberg (Technion, Computer
                 Science Department, Israel) / 387 \\
                 \\
                 3.7. Reliability Evaluation for Fault-Tolerant Systems
                 / K. S. Trivedi (Duke University, Dept. of Computer
                 Science, USA) / 403 \\
                 \\
                 Part IV: State of the Art and Future Directions \\
                 \\
                 Panel Discussion / / 417 \\
                 \\
                 Author Index / / 429",
}

@Proceedings{Allen:1986:CSS,
  editor =       "David M. Allen",
  booktitle =    "{Computer science and statistics: Proceedings of the
                 Seventeenth Symposium on the Interface of Computer
                 Sciences and Statistics, Radisson Plaza Hotel,
                 Lexington, Kentucky, March 17--19, 1985}",
  title =        "{Computer science and statistics: Proceedings of the
                 Seventeenth Symposium on the Interface of Computer
                 Sciences and Statistics, Radisson Plaza Hotel,
                 Lexington, Kentucky, March 17--19, 1985}",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "xi + 342",
  year =         "1986",
  ISBN =         "0-444-70018-8 (paperback)",
  ISBN-13 =      "978-0-444-70018-6 (paperback)",
  LCCN =         "QA276.4 .S95 1985",
  MRclass =      "62-06 (Proceedings of conferences (statistics)); 65C99
                 (Probabilistic methods, simulation and stochastic
                 differential equations (numerical analysis)); 62-07
                 (Data analysis (statistics))",
  bibdate =      "Thu May 29 16:50:58 MDT 2014",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/bmdp.bib;
                 https://www.math.utah.edu/pub/tex/bib/s-plus.bib;
                 https://www.math.utah.edu/pub/tex/bib/sas.bib;
                 https://www.math.utah.edu/pub/tex/bib/spss.bib",
  URL =          "http://catalog.hathitrust.org/api/volumes/oclc/13455449.html;
                 http://www.dtic.mil/dtic/tr/fulltext/u2/a166019.pdf;
                 http://zbmath.org/?q=an:0647.62008",
  ZMnumber =     "0647.62008",
  acknowledgement = ack-nhfb,
  meetingname =  "Symposium on the Interface (17o. 1985. Lexington)",
  subject =      "Mathematical statistics; Data processing; Congresses;
                 calcul statistique; informatique statistique;
                 syst{\`e}me interactif; langage statistique;
                 m{\'e}thode num{\'e}rique; enseignement informatique;
                 statistique; logiciel math{\'e}matique; poste travail;
                 logiciel statistique; mod{\`e}le non lin{\'e}aire;
                 statistique math{\'e}matique; analyse donn{\'e}e;
                 infographie; intelligence artificielle; Informatique;
                 Congr{\`e}s; Datenverarbeitung.; Statistik.; Kongress;
                 Estad{\'i}stica matem{\'a}tica; Inform{\'a}tica;
                 Congresos",
}

@Proceedings{Boardman:1986:CSS,
  editor =       "Thomas J. Boardman and Irene M. Stefanski",
  booktitle =    "{Computer science and statistics. Proceedings of the
                 18th Symposium on the Interface, Fort Collins,
                 Colorado, March 1986}",
  title =        "{Computer science and statistics. Proceedings of the
                 18th Symposium on the Interface, Fort Collins,
                 Colorado, March 1986}",
  publisher =    "American Statistical Association",
  address =      "Washington, DC, USA",
  pages =        "xiii + 466",
  year =         "1986",
  LCCN =         "QA 276.4 S95 1986; TL695 N67 1992",
  MRnumber =     "62-06 68-06 68U99 65C99",
  bibdate =      "Thu May 29 17:03:56 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/gay-david-m.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  URL =          "http://zbmath.org/?q=an:0638.62003",
  ZMnumber =     "0638.62003",
  acknowledgement = ack-nhfb,
  xxISBN =       "92-835-0689-8",
  xxISBN =       "0-8186-0698-3",
  xxISBN-13 =    "978-92-835-0689-8",
  xxISBN-13 =    "978-0-8186-0698-4",
  xxnote =       "Find correct ISBN: library catalogs have bad
                 values??",
}

@Proceedings{George:1986:PCS,
  editor =       "Alan George and G. W. (Gilbert W.) Stewart and Robert
                 G. Voigt",
  booktitle =    "Parallel computing: special volume",
  title =        "Parallel computing: special volume",
  volume =       "77",
  publisher =    pub-ESP,
  address =      pub-ESP:adr,
  pages =        "357",
  month =        may,
  year =         "1986",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  LCCN =         "QA184 L75 v. 77",
  bibdate =      "Fri Jan 24 06:44:39 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
  series =       j-LINEAR-ALGEBRA-APPL,
  acknowledgement = ack-nhfb,
  keywords =     "Algebras, Linear.; Parallel processing (Electronic
                 computers)",
}

@Proceedings{Iserles:1987:SAN,
  editor =       "A. Iserles and M. J. D. Powell",
  booktitle =    "{State of the Art in Numerical Analysis. Proceedings
                 of the Joint IMA\slash SIAM Conference held at the
                 University of Birmingham, 14--18 April 1986}",
  title =        "{State of the Art in Numerical Analysis. Proceedings
                 of the Joint IMA\slash SIAM Conference held at the
                 University of Birmingham, 14--18 April 1986}",
  volume =       "9",
  publisher =    pub-OXFORD,
  address =      pub-OXFORD:adr,
  pages =        "x + 719",
  year =         "1987",
  ISBN =         "0-19-853614-3",
  ISBN-13 =      "978-0-19-853614-7",
  LCCN =         "QA297.J65 1986",
  bibdate =      "Mon Sep 9 14:56:14 MDT 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.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",
  series =       "The Institute of Mathematics and Its Applications
                 conference series; new series",
  URL =          "http://www.gbv.de/dms/hbz/toc/ht002967923.pdf;
                 http://zbmath.org/?q=an:0611.00024",
  ZMnumber =     "0611.00024",
  acknowledgement = ack-nhfb,
  confdate =     "14--18 April 1986",
  conflocation = "Birmingham, UK",
  confsponsor =  "Inst. Math. Appl.; SIAM",
  pubcountry =   "UK",
  tableofcontents = "Contributors / / xiii \\
                 1. Eigenvalue problems / J. H. Wilkinson / 1 \\
                 2. Numerical linear algebra in statistical computing /
                 N. J. Higham and G. W. Stewart / 41 \\
                 3. Sparse matrices / J. K. Reid / 59 \\
                 4. Multivariate approximation / Carl de Boor / 87 \\
                 5. Data approximation by splines in one and two
                 independent variables / M. G. Cox / 111 \\
                 6. Methods for best approximation and regression
                 problems / G. A. Watson / 139 \\
                 7. Branch cuts for complex elementary functions / W.
                 Kahan / 165 \\
                 8. Recent developments in linear and quadratic
                 programming / R. Fletcher / 213 \\
                 9. Solving systems of nonlinear equations by tensor
                 methods / R. B. Schnabel and P. D. Frank / 245 \\
                 10. Numerical methods for bifurcation problems / A. D.
                 Jepson and A. Spence / 273 \\
                 11. On the iterative solution of differential and
                 integral equations using secant updating techniques /
                 A. Griewank / 299 \\
                 12. Methods for nonlinear constraints in optimization
                 calculations / M. J. D. Powell / 325 \\
                 13. The influence of vector and parallel processors on
                 numerical analysis / I. S. Duff / 359 \\
                 14. Developments in stability theory for ordinary
                 differential equations / J. D. Lambert / 409 \\
                 15. Stiff ODE initial value problems and their solution
                 / A. R. Curtis / 433 \\
                 16. Order stars and stability / G. Wanner / 451 \\
                 17. The state of the art in the numerical treatment of
                 integral equations / C. T. H. Baker / 473 \\
                 18. Strongly elliptic boundary integral equations / W.
                 L. Wendland / 511 \\
                 19. Collocation methods for one-dimensional Fredholm
                 and Volterra integral equations / H. Brunner / 563 \\
                 20. Numerical methods for free and moving boundary
                 problems / C. W. Cryer / 601 \\
                 21. Multigrid methods for elliptic equations / J. Walsh
                 / 623 \\
                 22. Galerkin finite element methods and their
                 generalizations / K. W. Morton / 645 \\
                 23. Recent developments in the numerical solution of
                 nonlinear conservation laws / S. Osher and P. K. Sweby
                 / 681 \\
                 Index / 701",
}

@Proceedings{Edwards:1988:CPC,
  editor =       "D. (David) Edwards and N. E. (Niels E.) Raun",
  booktitle =    "{COMPSTAT: proceedings in computational statistics,
                 8th symposium held in Copenhagen 1988}",
  title =        "{COMPSTAT: proceedings in computational statistics,
                 8th symposium held in Copenhagen 1988}",
  publisher =    pub-PHYSICA-VERLAG,
  address =      pub-PHYSICA-VERLAG:adr,
  bookpages =    "xiv + 451",
  pages =        "xiv + 451",
  year =         "1988",
  ISBN =         "3-7908-0411-8",
  ISBN-13 =      "978-3-7908-0411-9",
  LCCN =         "QA276.4 .C57 1988",
  bibdate =      "Tue Jan 10 12:37:12 MST 2012",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/prng.bib",
  URL =          "http://catalog.hathitrust.org/api/volumes/oclc/19564603.html;
                 http://zbmath.org/?q=an:0732.00016",
  ZMnumber =     "0732.00016",
  acknowledgement = ack-nhfb,
  remark =       "Papers presented at COMPSTAT 1988, the 8th biannual
                 Symposium in Computational Statistics held under the
                 auspices of the International Association for
                 Statistical Computing.",
  subject =      "Statistics; Data processing; Congresses; Mathematical
                 statistics",
  tableofcontents = "Keynote Papers \\
                 \\
                 Parallel Linear Algebra in Statistical Computations /
                 G. W. Stewart / 3 \\
                 Three Examples of Computer-Intensive Statistical
                 Inference / B. Efron. (See section `Late Arrivals' pp.
                 423--431) / \\
                 \\
                 Non-Parametric Estimation \\
                 \\
                 Efficient Nonparametric Smoothing in High Dimensions
                 Using Interactive Graphical Techniques / W. H{\"a}rdle.
                 (Invited paper) / 17 \\
                 A Boundary Modification of Kernel Function Smoothing,
                 with Application to Insulin Absorption Kinetics. / P.
                 Hougaard / 31 \\
                 A Roughness Penalty Regression Approach for Statistical
                 Graphics / M. G. Schimek / 37 \\
                 \\
                 Projection Pursuit \\
                 Detecting Structures by Means of Projection Pursuit /
                 7.5. Yenyukov. (Invited paper) / 47 \\
                 Confidence Regions for Projection Pursuit Density
                 Estimates / E. Elguero and S. Holmes-Junca / 59 \\
                 A Robustness Property of the Projection Pursuit Methods
                 in Sampling from Separably Dependent Random Vectors /
                 B. Baldessari and F. Gallo / 65 \\
                 \\
                 Graphical Techniques \\
                 Graphical Modelling with Large Numbers of Variables: An
                 Application of Principal Components / J. Whittaker, A.
                 Iliakopoulos, and P. W. F. Smith / 73 \\
                 Some Graphical Displays for Square Tables / A. de
                 Falguerolles and J. R. Mathieu / 81 \\
                 Data Plotting Methods for Checking Multivariate
                 Normality and Related Ideas / T. Isogai / 87 \\
                 Computer-aided Illustration of Regression Diagnostics /
                 T. Nummi. M. Nurhonen, and S. Puntanen / 93 \\
                 Computer Guided Diagnostics / D. A. Belsley, A.
                 Venetoulias, and R. E. Welsch / 99 \\
                 \\
                 Expert Systems \\
                 How should the Statistical Expert System and its User
                 see Each Other? / J. A. Nelder. (Invited paper) / 107
                 \\
                 Towards a Probabilistic Analysis of MYCIN-like Expert
                 Systems / P. H{\'a}jek / 117 \\
                 An Expert System Accepting Knowledge in a form of
                 Statistical Data / R. Jirou{\v{s}}ek and O.
                 K{\v{r}}i{\v{z}} / 123 \\
                 Building a Statistical Expert System with Knowledge
                 Bases of Different Levels of Abstraction / KM.
                 Wittkowski / 129 \\
                 An Expert System for the Interpretation of Results of
                 Canonical Covariance Analysis / K. Momirovi{\'c}, J.
                 Radakovi{\'c}, and V. Dobri{\'c} / 135 \\
                 Building a Statistical Knowledge Base: A Discussion of
                 the Approach used in the Development of THESEUS, a
                 Statistical Expert System / E. Bell and P. Watts / 143
                 \\
                 PRINCE: An Expert System for Nonlinear Principal
                 Components Analysis / I. J. Duijsens, T. J. Duijkers,
                 and G. M. van den Berg / 149 \\
                 Expert Systems for Non-Linear Modelling: Progress and
                 Prospects / G. J. S. Ross / 155 \\
                 Inside a Statistical Expert System: Statistical Methods
                 Employed in the ESTES System / P. Hietala / 163 \\
                 An Implementation of an EDA Expert System in Prolog
                 Environment / P. Jirk{\r{u}} / 169 \\
                 Automatic Acquisition of Knowledge Base from Data
                 without Expert: ESOD (Expert System from Observational
                 Data) / J. Iv{\'a}nek and B. Stejskal / 175 \\
                 Experiments with Probabilistic Consultation Systems /
                 S. Nordbotten / 181 \\
                 Statistical Consultants and Statistical Expert Systems
                 / I. W. Molenaar / 187 \\
                 On Inference Process / T. Westerhoff and P. Naeve / 193
                 \\
                 Identification Keys, Diagnostic Tables and Expert
                 Systems / R. W. Payne / 199 \\
                 \\
                 Languages and Packages \\
                 Adding new Statistical Techniques to Standard Software
                 Systems: A Review / C. Payne, N. Cleave, and P. Brown
                 '. / 207 \\
                 FUNIGIRLS: A Prototype Functional Programming Language
                 for the Analysis of Generalized Linear Models / R.
                 Gilchrist and A. Scallan / 213 \\
                 BLINWDR: An APL-function Library for Interactively
                 Solving the Problem of Robust and Bounded Influence
                 Regression / R. Dutter / 219 \\
                 \\
                 Computational Intensive Methods \\
                 Exact Non-Parametric Significance Tests / C. R. Mehta,
                 N. R. Patel and P. Senchaudhuri / 227 \\
                 Resampling Tests of Statistical Hypotheses / A. Young /
                 233 \\
                 Clustering Based on Neural Network Processing / H.-M.
                 Adorf and F. Murtagh / 239 \\
                 Decision Tree Classifier for Speech Recognition / A. M.
                 Morin / 245 \\
                 \\
                 Algorithms \\
                 Efficient Sampling Algorithms and Balanced Samples / J.
                 C. Deville, J. M. Grosbas, and N. Roth (Invited paper)
                 / 255 \\
                 Recursive Partition in Biostatistics: Stability of
                 Trees and Choice of the Most Stable Classification / A.
                 Ciampi and J. Thiffault / 267 \\
                 Generating Rules by Means of Regression Analysis / C.
                 Berzuini / 273 \\
                 A New Algorithm for Matched Case-Control Studies with
                 Applications to Additive Models / T. Hastie and D.
                 Pregibon / 279 \\
                 An Algorithm for the Approximation of N-Dimensional
                 Distributions / J. Gordesch / 285 \\
                 Further Recursive Algorithms for Multidimensional Table
                 Computation / B. P. Murphy and G. Bartlett / 291 \\
                 \\
                 Statistical Methods \\
                 Nonlinear Regression: Methodological and Software
                 Aspects / A. Mess{\'e}an. (Invited paper) / 299 \\
                 Comparing Sensitivity of Models to Missing Data in the
                 GMANOVA / E. P. Liski and T. Nummi / 311 \\
                 A Modelling Approach to Multiple Correspondence
                 Analysis / M. Green / 317 \\
                 Multidimensional Scaling on the Sphere / M. A. A. Cox
                 and T. F. Cox / 323 \\
                 A Monte Carlo Evaluation of the Methods for Estimating
                 the Parameters of the Generalized Lambda Distribution /
                 M. C. Okur / 329 \\
                 Statistical Guidance for Model Modification in
                 Covariance Structure Analysis / T. C. Luijben and A.
                 Boomsma / 335 \\
                 Similarities Functions / G.le Calv{\'e}s / 341 \\
                 Robust Bayesian Regression Analysis with HPD-Regions /
                 K. Felsenstein and K. Potzelberger / 349 \\
                 \\
                 Time Series \\
                 Estimation of ARMA Process Parameters and Noise
                 Variance by Means of a Non-Linear Filtering Algorithm /
                 M. P. Mu{\~n}oz-Gracia, J. Pages-Fita and M.
                 Marti-Recober / 357 \\
                 Autoregressive Models with Latent Variables / P. H. C.
                 Eilers / 363 \\
                 An Algorithm for Time Series Decomposition Using State
                 Space Models with Singular Transition Matrix / E.
                 Alvoni / 369 \\
                 \\
                 Statistical Data Bases and Survey Processing \\
                 New Perspectives in Computer Assisted Survey Processing
                 / W. J. Keller and J. G. Bethlehem. (Invited paper) /
                 377 \\
                 Multiple Imputation for Data-Base Construction / D. B.
                 Rubin. (Invited paper) / 389 \\
                 GRASP: A Complete Graphical Conceptual Language for
                 Definition and Manipulation of Statistical Databases /
                 T. Catarci and G. Santucci / 401 \\
                 \\
                 Experimental Design \\
                 New Algorithmic and Software Tools for D-Optimal Design
                 Computation in Nonlinear Regression / J. P. Vila / 409
                 \\
                 \\
                 Econometric Computing \\
                 Model-Building on Micro Computers: Sapreadsheets or
                 Specific Software / J.-L. Brillet / 417 \\
                 \\
                 Late Arrivals \\
                 Three Examples of Computer-Intensive Statistical
                 Inference / B. Efron / 423 \\
                 New Computer Procedures for Generating Optimal Mixture
                 Designs on Finite Design Spaces / H. A. Yonchev / 433
                 \\
                 Screening Based Exclusively on Experts Opinions / J.
                 {\'C}wik and E. Pleszczy{\'n}iska / 439 \\
                 \\
                 Address list of Authors / / 445",
}

@Proceedings{Sharda:1989:IRC,
  editor =       "R. Sharda and B. L. Golden and E. Wasil and O. Balci
                 and G. W. Stewart",
  booktitle =    "Impacts of Recent Computer Advances on Operations
                 Research",
  title =        "Impacts of Recent Computer Advances on Operations
                 Research",
  volume =       "9",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "xii + 585",
  year =         "1989",
  ISBN =         "0-444-01492-6",
  ISBN-13 =      "978-0-444-01492-4",
  LCCN =         "T57.6 .I4831 1989",
  bibdate =      "Wed May 28 17:52:37 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/k/kearfott-r-baker.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Publications in Operations Research",
  URL =          "http://zbmath.org/?q=an:0727.90047",
  ZMnumber =     "0727.90047",
  acknowledgement = ack-nhfb,
  subject =      "Operations research; Data processing",
  tableofcontents = "\\
                 I. Plenary papers \\
                 \\
                 G. B. Dantzig / Decomposition techniques for
                 large-scale electric power systems planning under
                 uncertainty / 3--22 \\
                 \\
                 II. Parallel algorithms for mathematical programming
                 \\
                 \\
                 R. S. Barr, M. G. Christiansen / A parallel auction
                 algorithm: A case study in the use of parallel
                 object-oriented programming, 23--32 \\
                 J. O. Berkey, P. Y. Wang / A comparative study of some
                 parallel bin packing algorithms / 33--43 \\
                 T. E. Gerasch, P. Y. Wang, S. T. Weidman / SIMD
                 knapsack approximation algorithms / 44-- 56 \\
                 A. R. Joshi, D.-S. Chen / A vectorized dual algorithm
                 for generalized network problem / 57--70 \\
                 H. S. Mahmassani, K. C. Mouskos / Vectorization of
                 transportation network equilibrium assignment codes /
                 71--81 \\
                 G. L. Schultz, R. R. Meyer / A flexible parallel
                 algorithm for block-constrained optimization problems /
                 82--91 \\
                 R. Hunter Mladineo / Supercomputers and global
                 optimization / 92--105 \\
                 J. M. Mulvey, H. Vladimirou / Evaluation of a parallel
                 hedging algorithm for stochastic network programming /
                 106--119 \\
                 D. M. Nicol / Parallel solution of dynamic programming
                 equation using optimistic evaluation / 120--130 \\
                 P. M. Pardalos, G. P. Rodgers / Parallel branch and
                 bound algorithms for unconstrained quadratic zero-one
                 programming / 131--143 \\
                 G. Plateau, C. Roucairol / A supercomputer algorithm
                 for the 0--1 multiknapsack problem / 144--157 \\
                 M. J. Saltzman, R. Subramanian, R. E. Marsten /
                 Implementing an interior point LP algorithm on a
                 supercomputer / 158--168 \\
                 C. Phillips, S. A. Zenios / Experiences with large
                 scale network optimization on the connection machine /
                 169--182 \\
                 \\
                 III. Graphics in optimization \\
                 \\
                 I. Lustig / Application of interactive computer
                 graphics to linear programming / 183--189 \\
                 C. L. Monma, D. F. Shallcross / A PC-based interactive
                 network design system for fiber optic communication
                 networks / 190--204 \\
                 \\
                 IV. Microcomputers in operations research \\
                 \\
                 E. Gelman, M. A. Pollatschek / Personal computer
                 version of nearly triangular Leontief LP solution /
                 205--216 \\
                 T. P. Harrison, J. L. Martin / Optimizing exchange
                 agreements in the refining industry / 217-- 225 \\
                 J. K. Ho / Nonprocedural implementation of mathematical
                 programming algorithms / 226--237 \\
                 R. Terry, D. DeBald, R. Chikkala / Closed queueing
                 network analysis of indirect labor requirements /
                 238--247 \\
                 M. L. Villanueva, N. A. Wittpenn, C. B. Austin, E.
                 Baker / A microcomputer-based marine geographic
                 information system with marketing application /
                 248--262 \\
                 E. Wasil, B. Golden, R. Sharda / Mathematical
                 programming software for the microcomputer: Recent
                 advances, comparisons and trends / 263--272 \\
                 E. Wasil, A. Assad / Project management software for
                 the microcomputer: Recent advances and future
                 directions / 273--288 \\
                 \\
                 V. Artificial intelligence and expert systems \\
                 \\
                 G. Anandalingam, R. Mathieu, C. L. Pittard, N. Sinha /
                 Artificial intelligence based approaches for solving
                 hierarchical optimization problems / 289--301 \\
                 J. W. Denton, G. R. Madey / Impact of neurocomputing on
                 operations research / 302--312 \\
                 H. J. Greenberg / Neural networks for an intelligent
                 mathematical programming system / 313-- 320 \\
                 M. R. Hilliard, G. E. Liepins, M. Palmer, G. Rangarajan
                 / The computer as a partner in algorithmic design:
                 Automated discovery of parameters for a multi-objective
                 scheduling heuristic / 321--331 \\
                 J.- Y. Potvin, S. F. Smith / Flexible systems for the
                 design of heuristic algorithms in complex OR domains /
                 332--346 \\
                 \\
                 VI. Vehicle routing and scheduling applications \\
                 \\
                 D. Jovanovic, P. T. Harker / SCAN: A decision support
                 system for railroad scheduling / 347--360 \\
                 K. E. Nygard, P. Juell, K. Nagesh / An interactive
                 decision support system for vehicle routing / 361--372
                 \\
                 J. R. Schaffer, P. K. Pearl / Vehicle routing and
                 scheduling for home delivery / 373--384 \\
                 \\
                 VII. Simulation \\
                 \\
                 O. Balci, R. E. Nance / Simulation model development:
                 The multidimensionality of the computing technology
                 pull / 385--395 \\
                 R. K. Kincaid, K. W. Miller, S. K. Park / Locating P
                 mobile servers on a congested network: A simulation
                 analysis / 396--406 \\
                 R. L. Moose, R. E. Nance / The design and development
                 of an analyzer for discrete event model specifications
                 / 407--421 \\
                 R. J. Paul / Visual simulation: Seeing is believing?
                 422--432 \\
                 M. B. Silberholz, B. L. Golden, E. K. Baker /
                 Simulating a marine container terminal on the Macintosh
                 II / 433 \\
                 \\
                 VIII. Model development and analysis systems \\
                 \\
                 G. H. Bradley / Mathematical programming modeling
                 project - overview / 447--462 \\
                 R. G. Brown, J. W. Chinneck, G. M. Karam / Optimization
                 with constraint programming systems / 463--473 \\
                 M. Grauer, S. Albers, M. Frommberger / Concept and
                 first experiences with an object-oriented interface for
                 mathematical programming / 474--483 \\
                 G. Mitra / Tools for modelling support and construction
                 of optimization applications / 484--496 \\
                 A. D. Waren, M. Pechura, L. S. Lasdon / The GRG2 model
                 builder / 497--506 \\
                 S. Zenios, S. S. Nielsen, M. Pinar / On the use of
                 advance architecture computers via high-level modelling
                 languages / 507 \\
                 \\
                 IX. Telecommunications \\
                 \\
                 A. J. Perticone, J. P. Jarvis, D. R. Shier / Evaluation
                 and design of voice telecommunications network /
                 521--532 \\
                 \\
                 X. Numerical analysis \\
                 \\
                 R. Baker Kearfott / Interval arithmetic methods for
                 nonlinear systems and nonlinear optimization: An
                 outline and status / 533--542 \\
                 A. P. Morgan / Polynomial continuation / 543--554 \\
                 L. T. Watson / Modern homotopy methods in optimization
                 / 555--566",
}

@Proceedings{Wouk:1989:PPM,
  editor =       "Arthur Wouk",
  booktitle =    "{Parallel processing and medium-scale multiprocessors
                 [Proceedings of the workshop, held in Stanford,
                 California, January 1986]}",
  title =        "{Parallel processing and medium-scale multiprocessors
                 [Proceedings of the workshop, held in Stanford,
                 California, January 1986]}",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xi + 207",
  year =         "1989",
  ISBN =         "0-89871-238-6",
  ISBN-13 =      "978-0-89871-238-4",
  LCCN =         "QA76.5 .W665 1986",
  MRnumber =     "68-06 68N25 68W30",
  bibdate =      "Thu May 29 18:03:16 MDT 2014",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  URL =          "http://books.google.com/books?id=O3GOAAAAIAAJ;
                 http://catalog.hathitrust.org/api/volumes/oclc/19630560.html;
                 http://zbmath.org/?q=an:0681.68004",
  ZMnumber =     "0681.68004",
  acknowledgement = ack-nhfb,
  meetingname =  "Workshop on Parallel Processing and Medium-scale
                 Multiprocessors (1986 : Stanford, Calif.)",
  remark =       "Proceedings of the Workshop on Parallel Processing and
                 Medium-Scale Multiprocessors, Stanford, California,
                 January, 1986. This workshop was sponsored by the
                 Mathematical Sciences Division of the United States
                 Army Research Office and the Department of Computer
                 Science.",
  subject =      "Parallel processing (Electronic computers);
                 Multiprocessors; multit{\^a}che; hypercube;
                 multiprocesseur; parall{\'e}lisme; traitement
                 parall{\`e}le; Multiprocesseurs.; Multiprocessors.;
                 Parallel processing (Electronic computers)",
}

@Proceedings{Brown:1990:SAM,
  editor =       "Philip J. Brown and Wayne A. Fuller",
  booktitle =    "{Statistical analysis of measurement error models and
                 applications: proceedings of the AMS-IMS-SIAM joint
                 summer research conference held June 10-16, 1989, with
                 support from the National Science Foundation and the
                 U.S. Army Research Office}",
  title =        "{Statistical analysis of measurement error models and
                 applications: proceedings of the AMS-IMS-SIAM joint
                 summer research conference held June 10-16, 1989, with
                 support from the National Science Foundation and the
                 U.S. Army Research Office}",
  volume =       "112",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "xii + 248",
  year =         "1990",
  ISBN =         "0-8218-5117-9, 0-8218-7700-3 (e-book)",
  ISBN-13 =      "978-0-8218-5117-3, 978-0-8218-7700-5 (e-book)",
  ISSN =         "0271-4132 (print), 1098-3627 (electronic)",
  LCCN =         "QA275 .A47 1989",
  bibdate =      "Wed May 28 17:40:15 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
  series =       "Contemporary Mathematics",
  URL =          "http://www.ams.org/conm/112/",
  acknowledgement = ack-nhfb,
  mynote =       "Proceedings of the AMS-IMS-SIAM Joint Summer Research
                 Conference",
  remark =       "The AMS-IMS-SIAM Joint Summer Research Conference in
                 the Mathematical Sciences on Statistical Analysis of
                 Measurement Error Models and Applications was held at
                 Humboldt State University, Arcata, California.",
  tableofcontents = "Some history of functional and structural
                 relationships / Peter Sprent \\
                 \path=https://doi.org/10.1090/conm/112/1087095= \\
                 Errors-in-variables regression problems in epidemiology
                 / Alice S. Whittemore \\
                 \path=https://doi.org/10.1090/conm/112/1087096= \\
                 Models with latent variables: LISREL versus PLS / Hans
                 Schneeweiss \\
                 \path=https://doi.org/10.1090/conm/112/1087097= \\
                 Prediction of true values for the measurement error
                 model / Wayne A. Fuller \\
                 \path=https://doi.org/10.1090/conm/112/1087098= \\
                 Analysis of residuals from measurement error models /
                 Stephen M. Miller \\
                 \path=https://doi.org/10.1090/conm/112/1087099= \\
                 Errors-in-variables estimation in the presence of
                 serially correlated observations / John L. Eltinge \\
                 \path=https://doi.org/10.1090/conm/112/1087100= \\
                 Improvements of the naive approach to estimation in
                 nonlinear errors-in-variables regression models / Leon
                 Jay Gleser \\
                 \path=https://doi.org/10.1090/conm/112/1087101= \\
                 Structural logistic regression measurement error models
                 / Leonard A. Stefanski and Raymond J. Carroll \\
                 \path=https://doi.org/10.1090/conm/112/1087102= \\
                 Measurement error model estimation using iteratively
                 weighted least squares / Daniel W. Schafer \\
                 \path=https://doi.org/10.1090/conm/112/1087103= \\
                 Problematic points in nonlinear calibration / Philip J.
                 Brown and Samuel D. Oman \\
                 \path=https://doi.org/10.1090/conm/112/1087104= \\
                 Instrumental variable estimation of the nonlinear
                 measurement error model / Yasuo Amemiya \\
                 \path=https://doi.org/10.1090/conm/112/1087105= \\
                 A likelihood ratio test for error covariance
                 specification in nonlinear measurement error models /
                 Daniel J. Schnell \\
                 \path=https://doi.org/10.1090/conm/112/1087106= \\
                 Plotting techniques for errors-in-variables problems /
                 Cliff H. Spiegelman \\
                 \path=https://doi.org/10.1090/conm/112/1087107= \\
                 Perturbation theory and least squares with errors in
                 the variables / G. W. Stewart \\
                 \path=https://doi.org/10.1090/conm/112/1087108= \\
                 Orthogonal distance regression / Paul T. Boggs and
                 Janet E. Rogers \\
                 \path=https://doi.org/10.1090/conm/112/1087109= \\
                 Computing error bounds for regression problems /
                 Nicholas J. Higham \\
                 \path=https://doi.org/10.1090/conm/112/1087110= \\
                 Asymptotic robustness of normal theory methods for the
                 analysis of latent curves / M. W. Browne \\
                 \path=https://doi.org/10.1090/conm/112/1087111= \\
                 Bounded influence errors-in-variables regression / Chi
                 Lun Cheng and John W. Van Ness \\
                 \path=https://doi.org/10.1090/conm/112/1087112= \\
                 Bounded influence estimation in the errors-in-variables
                 model / V{\'i}ctor J. Yohai and Ruben H. Zamar \\
                 \path=https://doi.org/10.1090/conm/112/1087113=",
}

@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 / Francoise
                 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 /
                 {\AA}ke Bj{\"o}rck / 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{Stewart:1990:NSM,
  editor =       "W. J. Stewart",
  booktitle =    "Numerical Solutions of {Markov} Chains",
  title =        "Numerical Solutions of {Markov} Chains",
  publisher =    pub-DEKKER,
  address =      pub-DEKKER:adr,
  pages =        "????",
  year =         "1990",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Thu May 29 18:13:39 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  acknowledgement = ack-nhfb,
}

@Proceedings{Chen:1991:CRT,
  editor =       "Ray R. Chen",
  booktitle =    "{Conference record of the Twenty-fifth Asilomar
                 Conference on Signals, Systems and Computers: November
                 4--6, 1991, Pacific Grove, California}",
  title =        "{Conference record of the Twenty-fifth Asilomar
                 Conference on Signals, Systems and Computers: November
                 4--6, 1991, Pacific Grove, California}",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "xx + 1269 + 5",
  year =         "1991",
  ISBN =         "0-8186-2470-1 (paperback), 0-8186-2471-X (microfiche),
                 0-8186-2472-8 (hardcover)",
  ISBN-13 =      "978-0-8186-2470-4 (paperback), 978-0-8186-2471-1
                 (microfiche), 978-0-8186-2472-8 (hardcover)",
  LCCN =         "TK 5102.5 A78 1991",
  bibdate =      "Thu Apr 27 08:38:04 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/bell-brad.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  note =         "IEEE catalog number 91CH31120. IEEE Computer Society
                 Press order number 2470.",
  URL =          "http://ieeexplore.ieee.org/servlet/opac?punumber=382",
  acknowledgement = ack-nhfb,
}

@Proceedings{IEEE:1991:ICA,
  editor =       "{IEEE}",
  booktitle =    "{1991 International Conference on Acoustics, Speech,
                 and Signal Processing: ICASSP-91: May 14--17, 1991, The
                 Sheraton Centre Hotel and Towers, Toronto, Ontario,
                 Canada}",
  title =        "{1991 International Conference on Acoustics, Speech,
                 and Signal Processing: ICASSP-91: May 14--17, 1991, The
                 Sheraton Centre Hotel and Towers, Toronto, Ontario,
                 Canada}",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "3732 (5 volumes)",
  year =         "1991",
  ISBN =         "0-7803-0003-3 (paperback), 0-7803-0004-1 (hardcover),
                 0-7803-0005-X (microfiche)",
  ISBN-13 =      "978-0-7803-0003-3 (paperback), 978-0-7803-0004-0
                 (hardcover), 978-0-7803-0005-7 (microfiche)",
  LCCN =         "TA365 I58 1991; TK7882.S65 I16 1991",
  bibdate =      "Wed May 28 16:58:34 MDT 2014",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  URL =          "http://ieeexplore.ieee.org/servlet/opac?punumber=540",
  acknowledgement = ack-nhfb,
  tableofcontents = "vol. 1. S1: Speech processing 1 \\
                 vol. 2. S2, VLSI, U: Speech processing 2, VLSI,
                 Underwater signal processing \\
                 vol. 3. D: Digital signal processing \\
                 vol. 4. M: Multidimensional signal processing \\
                 vol. 5. EA: Spectral estimation, Audio and
                 electroacoustics",
}

@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 =      "Thu May 29 18:20:53 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 z3950.loc.gov:7090/Voyager",
  URL =          "http://catalog.hathitrust.org/api/volumes/oclc/22911621.html",
  abstract =     "This volume is an outgrowth of the 2nd International
                 Workshop on SVD and Signal Processing which was held in
                 Kingston, Rhode Island, 25--27 June, 1990. The singular
                 value decomposition (SVD) has been applied to signal
                 processing problems since the late 1970's, although it
                 has been known in various forms for over 100 years. SVD
                 filtering has been shown to give better results at
                 lower signal-to-noise ratios than classical techniques
                 based on linear filtering. This explains in part the
                 recent interest in SVD techniques for signal
                 processing. This book is a compilation of papers that
                 examine in detail the singular decomposition of a
                 matrix and its application to problems in signal
                 processing. Algorithms and implementation architectures
                 for computing the SVD are discussed, and analysis
                 techniques for predicting and understanding the
                 performance of SVD-based algorithms are given. The
                 volume will provide both a stimulus for future research
                 in this field as well as useful reference material for
                 many years to come.",
  acknowledgement = ack-nhfb,
  remark =       "An outgrowth of the 2nd International Workshop on SVD
                 and Signal Processing, held at the University of Rhode
                 Island, June 25--27, 1990, sponsored by the URI College
                 of Engineering.",
  subject =      "Signal processing; Digital techniques; Decomposition
                 (Mathematics)",
  tableofcontents = "Part I. Survey Papers \\
                 \\
                 The SVD and reduced-rank signal processing / L. L.
                 Scharf / 13--17 \\
                 Second Order Perturbation Calculation / / 18--?? \\
                 Parallel implementations of the SVD using implicit
                 CORDIC arithmetic / J-M. Delosme / 33--56 \\
                 Neural networks for extracting
                 pure/constrained/oriented principal components / S. Y.
                 Kung et al. / \\
                 Generalizations of the OSVD: structure, properties and
                 applications / B. de Moor / \\
                 Perturbation theory for the singular value
                 decomposition / G. W. Stewart / \\
                 \\
                 Part II. Algorithms and Architectures \\
                 \\
                 An accurate product SVD algorithm / A. W. Bojanczyk et
                 al. / \\
                 The hyperbolic singular value decomposition and
                 applications / R. Onn et al. / \\
                 Adaptive SVD algorithm with application to narrow-band
                 signal tracking / W. Ferzali, J. G. Proakis / \\
                 Chebyshev acceleration techniques for solving slowly
                 varying total least squares problems / S. van huffel /
                 \\
                 Combined Jacobi-type algorithms in signal processing /
                 M. Moonan et al. / \\
                 A modified non-symmetric Lanczos algorithm and
                 applications / D. Boley, G. Golub / \\
                 Parallel one sided Euler-Jacobi method for symmetric
                 eigendecomposition and SVD / A. W. Bojanczyk et al. /
                 \\
                 Using UNITY to implement SVD on the connection machine
                 / M. Kleyn, I. Chakravarty / \\
                 A CORDIC processor array for the SVD of a complex
                 matrix / J. R. Cavallaro, A. C. Elster / \\
                 \\
                 Part III. Analysis of SVD-Based Algorithms \\
                 \\
                 Analytical performance prediction of subspace-based
                 algorithms for DOA estimation / Fu Li, R. J. Vaccaro /
                 \\
                 Spatial smoothing and MUSIC: Further results / B. D.
                 Rao, K. V. S. Hari / \\
                 A performance analysis of adaptive algorithms in the
                 presence of calibration errors / D. R. Farrier, D. J.
                 Jeffries / \\
                 Second order perturbation calculation of state space
                 estimation / W. W. F. Pijnappel et al. / \\
                 The threshold effect in signal processing algorithms
                 which use an estimated subspace / D. W. Tufts et al. /
                 \\
                 \\
                 Part IV \\
                 \\
                 Applications to signal modeling and detection OSVD and
                 QSVD in signal separation / D. Callaerts et al. / \\
                 Enhanced sinusoidal and exponential data modeling / J.
                 A. Cadzow, D. M. Wilkes / \\
                 Enhancements to SVD-Based detection / J. H. Cozzens, M.
                 J. Sousa / \\
                 Resolution of closely spaced coherent plane waves via
                 SVD / H. Krim et al. / \\
                 Transient parameter estimation by an SVD-based Wigner
                 distribution / M. F. Griffin, A. M. Finn / \\
                 Signal/noise subspace decomposition for random
                 transient detection / N. M. Marinovich, L. M. Roytman /
                 \\
                 Comparisons of truncated QR and SVD methods for AR
                 spectral estimations / S. F. Hsieh et al. / \\
                 Using singular value decomposition to recover periodic
                 waveforms in noise and with residual carrier / B. Rice
                 / \\
                 Other Applications. SVD-based low-rank approximations
                 of rational models / A-J. van der Veen, E. F.
                 Deprettere / \\
                 Computing the singular values and vectors of a Hankel
                 operator / H. Ozbay / \\
                 SVD analysis of probability matrices / J. A. Ramos /
                 \\
                 Fast matrix-vector multiplication using displacement
                 rank approximation via an SVD / J. M. Speiser et al. /
                 \\
                 A new use of singular value decomposition in
                 bioelectric imaging of the brain / D. J. Major, R. J.
                 Sidman /",
}

@Proceedings{IEEE:1992:III,
  editor =       "IEEE",
  booktitle =    "{ICASSP-92 / 1992 IEEE International Conference on
                 Acoustics, Speech, and Signal Processing, March 23--26,
                 1992, the San Francisco Marriott, San Francisco,
                 California}",
  title =        "{ICASSP-92 / 1992 IEEE International Conference on
                 Acoustics, Speech, and Signal Processing, March 23--26,
                 1992, the San Francisco Marriott, San Francisco,
                 California}",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "640 (vol. 1), 572 (vol. 2), 596 (vol. 3), 716 (vol.
                 4), 696 (vol. 5)",
  year =         "1992",
  ISBN =         "0-7803-0533-7 (hardcover), 0-7803-0532-9 (paperback),
                 0-7803-0534-5 (microfiche)",
  ISBN-13 =      "978-0-7803-0533-5 (hardcover), 978-0-7803-0532-8
                 (paperback), 978-0-7803-0534-2 (microfiche)",
  LCCN =         "TK 7882 S65 I16 1992",
  bibdate =      "Sun Apr 07 09:26:57 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathematica.bib",
  note =         "Five volumes. IEEE catalog number 92CH3103-9",
  acknowledgement = ack-nhfb,
  tableofcontents = "vol. 1. S1: Speech processing 1 \\
                 vol. 2. S2, ANU: Speech processing 2, audio, neural
                 networks, underwater acoustics \\
                 vol. 3. M: Multidimensional signal processing \\
                 vol. 4. D1: Digital signal processing \\
                 vol. 5. D2EV: Digital signal processing 2, estimation,
                 VSLI",
}

@Proceedings{Meyer:1993:LAM,
  editor =       "C. D. (Carl Dean) Meyer and Robert J. Plemmons",
  booktitle =    "{Linear algebra, Markov chains, and queueing models:
                 [\ldots{} some of the lectures given at the Workshop
                 Linear Algebra, Markov Chains, and Queueing Models held
                 January 13--17, 1992, as part of the Year of Applied
                 Linear Algebra at the Institute for Mathematics and its
                 Applications]}",
  title =        "{Linear algebra, Markov chains, and queueing models:
                 [\ldots{} some of the lectures given at the Workshop
                 Linear Algebra, Markov Chains, and Queueing Models held
                 January 13--17, 1992, as part of the Year of Applied
                 Linear Algebra at the Institute for Mathematics and its
                 Applications]}",
  volume =       "48",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xvi + 294",
  year =         "1993",
  ISBN =         "0-387-94085-5 (New York), 3-540-94085-5 (Berlin)",
  ISBN-13 =      "978-0-387-94085-4 (New York), 978-3-540-94085-2
                 (Berlin)",
  LCCN =         "QA184 .L545 1993",
  bibdate =      "Wed May 28 17:58:34 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "The IMA volumes in mathematics and its applications",
  URL =          "http://catalog.hathitrust.org/api/volumes/oclc/28182134.html;
                 http://www.gbv.de/dms/ilmenau/toc/126000387.PDF;
                 http://zbmath.org/?q=an:0779.00020",
  acknowledgement = ack-nhfb,
  subject =      "Algebras, Linear; Congresses; Markov processes;
                 Queuing theory",
  tableofcontents = "Error bounds for the computation of null vectors
                 with applications to Markov chains / Jesse L. Barlow
                 \\
                 The influence of nonnormality on matrix computations /
                 Fran{\c{c}}oise Chatelin \\
                 Componentwise error analysis for stationary iterative
                 methods / Nicholas J. Higham and Philip A. Knight \\
                 The character of a finite Markov chain / Carl D. Meyer
                 \\
                 Gaussian elimination, perturbation theory, and Markov
                 chains / G. W. Stewart \\
                 Algorithms for periodic Markov chains / Fran{\c{c}}ois
                 Bonhoure, Yves Dallery, and William J. Stewart \\
                 Iterative methods for queueing networks with irregular
                 state-spaces / Raymond H. Chan \\
                 Analysis of $p$-cyclic iterations for Markov chains /
                 Apostolos Hadjidimos and Robert J. Plemmons \\
                 Iterative methods for finding the stationary vector for
                 Markov chains / Dianne P. O'Leary \\
                 Local convergence of (exact and inexact) iterative
                 aggregation / Daniel B. Szyld \\
                 Automated generation and analysis of Markov reward
                 models using stochastic reward nets / Gianfranco Ciardo
                 \ldots{} [et al.] \\
                 Means and variances in Markov reward systems / Winfried
                 K. Grassman \\
                 A direct algorithm for computing the stationary
                 distribution of a $p$-cyclic Markov chain / Daniel P.
                 Heyman \\
                 Approximate analysis of a discrete-time queueing model
                 of the shared buffer ATM switch / S. Hong, H. G.
                 Perros, and H. Yamashita \\
                 Algorithms for infinite Markov chains with repeating
                 columns / Guy Latouche \\
                 Cray-2 memory organization and interprocessor memory
                 contention / Robert W. Numrich",
}

@Proceedings{Moonen:1993:LAL,
  editor =       "Marc S. Moonen and Gene H. Golub and Bart L. R. {De
                 Moor}",
  booktitle =    "{Linear Algebra for Large Scale and Real-Time
                 Applications: Proceedings of the NATO Advanced Study
                 Institute, Leuven, Belgium, August 3--14, 1992}",
  title =        "{Linear Algebra for Large Scale and Real-Time
                 Applications: Proceedings of the NATO Advanced Study
                 Institute, Leuven, Belgium, August 3--14, 1992}",
  volume =       "232",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  pages =        "ix + 435",
  year =         "1993",
  ISBN =         "0-7923-2151-0",
  ISBN-13 =      "978-0-7923-2151-4",
  LCCN =         "QA185.D37 L56 1993",
  MRclass =      "65-06 (65Fxx 65Y05)",
  MRnumber =     "94e:65009",
  bibdate =      "Mon Jan 15 17:53:04 1996",
  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/p/parlett-beresford-n.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  series =       "NATO ASI series. Series E, Applied sciences",
  URL =          "http://catdir.loc.gov/catdir/enhancements/fy0823/92046135-d.html;
                 http://www.gbv.de/dms/hbz/toc/ht004938330.pdf;
                 http://zbmath.org/?q=an:0810.00029",
  ZMnumber =     "0810.00029",
  abstract =     "In recent years there has been great interest in large
                 scale and real-time matrix computations; these
                 computations arise in a variety of fields, such as
                 computer graphics, imaging, speech and image
                 processing, telecommunication, biomedical signal
                 processing, optimization and so on. This volume, which
                 is an outgrowth of a NATO ASI, held at Leuven, Belgium,
                 August 1992, gives an account of recent research
                 advances in numerical techniques used in large scale
                 and real-time computations and their implementation on
                 high performance computers.",
  acknowledgement = ack-nhfb,
  tableofcontents = "Preface / / xi \\
                 Invited Lectures / / 1 \\
                 Large scale structural analysis on massively parallel
                 computers / P. E. Bj{\o}rstad and J. Cook / 3 \\
                 Data-parallel BLAS as a basis for LAPACK on massively
                 parallel computers / P. E. Bj{\o}rstad and T.
                 S{\o}revik / 13 \\
                 a Large-scale nonlinear constrained optimization / A.
                 R. Conn, N. Gould and Ph. L. Toint / 21 \\
                 Trading off parallelism and numerical stability / J. W.
                 Demmel / 49 \\
                 Subband filtering: CORDIC modulation and systolic
                 quadrature mirror filter tree / E. F. Deprettere / 69
                 \\
                 A parallel image rendering algorithm and architecture
                 based on ray tracing and radiosity shading / E. F.
                 Deprettere and L.-S. Shen / 91 \\
                 Reduction and approximation of linear computational
                 circuits / P. Dewilde and A.-J. van der Veen / 109 \\
                 The look-ahead Lanczos process for large nonsymmetric
                 matrices and related algorithms / R. W. Freund / 137
                 \\
                 Case studies of real-time processing in robotics / W.
                 M. Gentleman / 165 \\
                 Adaptive signal processing with emphasis on QRD-least
                 squares lattice / S. Haykin / 183 \\
                 A direct method for reordering eigenvalues in the
                 generalized real Schur form of a regular matrix pair
                 (A, B) / B. K{\aa}gstr{\"o}m / 195 \\
                 Block shift invariance and efficient system
                 identification algorithms / N. Kalouptsidis / 219 \\
                 Computing the singular value decomposition on a
                 fat-tree architecture / T. J. Lee, F. T. Luk and D. L.
                 Boley / 231 \\
                 A new matrix decomposition for signal processing / F.
                 T. Luk and S. Qiao / 241 \\
                 The linear algebra of perfect reconstruction filtering
                 / M. Stewart and G. Cybenko / 249 \\
                 Determining rank in the presence of error / G. W.
                 Stewart / 275 \\
                 Approximation with Kronecker products / C. F. Van Loan
                 and N. Pitsianis / 293 \\
                 Some linear algebra issues in large-scale optimization
                 / M. H. Wright / 315 \\
                 Contributed Lectures / / 339 \\
                 Direct and inverse unitary eigenproblems in signal
                 processing: an overview / G. S. Ammar, W. B. Gragg and
                 L. Reichel / 341 \\
                 Block implementations of the symmetric QR and Jacobi
                 algorithms / P. Arbenz and M. Oettli / 345 \\
                 Linear algebra for large-scale information retrieval
                 applications / M. W. Berry / 347 \\
                 Matched filter vs. least-squares approximation / L. H.
                 J. Bierens / 349 \\
                 Reordering diagonal blocks in real Schur form / A. W.
                 Bojanczyk and P. Van Dooren / 351 \\
                 Placing zeroes and the Kronecker canonical form / D. L.
                 Boley and P. Van Dooren / 353 \\
                 Analysis of the recursive least squares lattice
                 algorithm / J. R. Bunch and R. C. LeBorne / 355 \\
                 Adaptive Chebyshev iteration based on modified moments
                 / D. Calvetti, G. H. Golub and L. Reichel / 357 \\
                 Continuous realization methods and their applications /
                 M. T. Chu / 359 \\
                 Asymptotic behavior of orthogonal polynomials / T. Dehn
                 / 361 \\
                 CADCS and parallel computing / F. Dumortier, A. Van
                 Cauwenberghe and L. Boullart / 363 \\
                 Eigenvalue roulette and random test matrices / A.
                 Edelman / 365 \\
                 On numerical methods for unitary eigenvalue problems /
                 H. Fa{\sas}bender / 369 \\
                 Accurate singular values and differential qd algorithms
                 / K. V. Fernando and B. N. Parlett / 371 \\
                 Orthogonal projection and total least squares / R. D.
                 Fierro and J. R. Bunch / 375 \\
                 Gauss quadratures associated with the Arnoldi process
                 and the Lanczos algorithm / R. W. Freund and M.
                 Hochbruck / 377 \\
                 An implementation of the QMR method based on coupled
                 two-term recurrences / R. W. Freund and N. M. Nachtigal
                 / 381 \\
                 Computationally efficient homotopies for the H 2 model
                 order reduction problem / Y. Ge, L. T. Watson, E. G.
                 Collins, Jr. and L. D. Davis / 385 \\
                 A fast algorithm for $QR$ decomposition of Toeplitz
                 matrices / G. O. Glentis / 387 \\
                 Unitary Hessenberg methods for Toeplitz approximations
                 and applications / Ch. He and A. Bunse-Gerstner / 389
                 \\
                 Perturbation theory and backward error for $A X - X B =
                 C$ / N. J. Higham / 391 \\
                 Fast transforms and elliptic problems / T. Huckle / 393
                 \\
                 An interior-point method for minimizing the maximum
                 eigenvalue of a linear combination of matrices / F.
                 Jarre / 395 \\
                 The lattice-ladder with generalized forgetting / J.
                 Kadlec / 397 \\
                 Solving a least squares problem with boundary
                 constraints / L. Kaufman / 399 \\
                 Estimating the extremal eigenvalues and condition
                 number by the Lanczos algorithm with a random start /
                 J. Kuczy{\'n}ski and H. Wo{\'z}niakowski / 401 \\
                 A generalized ADI iterative method / N. Levenberg and
                 L. Reichel / 403 \\
                 Quaternions and the symmetric eigenvalue problem / N.
                 Mackey / 405 \\
                 Application of the Gauss-Seidel iteration to the RLS
                 algorithm / {\"O}. Morg{\"u}l and A. Mala{\c{s}} / 407
                 \\
                 Ranks of submatrices of a matrix and its inverse / C.
                 C. Paige and M. Wei / 409 \\
                 A QRD-based least-squares algorithm for multipulse
                 antenna array signal processing / I. K. Proudler / 411
                 \\
                 On displacement structures for covariance matrices and
                 lossless functions / P. A. Regalia and F. Desbouvries /
                 413 \\
                 Application of vector extrapolation and conjugate
                 gradient type methods to the semiconductor device
                 problem / W. H. A. Schilders / 415 \\
                 Accurate symmetric eigenreduction by a Jacobi method /
                 I. Slapni{\v{c}}ar / 417 \\
                 The order-recursive Chandrasekhar equations for fast
                 square-root Kalman filtering / D. T. M. Slock / 419 \\
                 Hybrid iterative methods based on Faber polynomials /
                 G. Starke / 421 \\
                 Aspects of implementing a 'C' matrix library / D. E.
                 Stewart / 423 \\
                 Intermediate fill-in in sparse QR decomposition / M.
                 T{\r{u}}ma / 425 \\
                 Shifting strategies for the parallel QR algorithm / D.
                 S. Watkins / 427 \\
                 List of Participants / / 429 \\
                 Authors Index / / 437",
}

@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/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{Golub:1994:RAI,
  editor =       "Gene Golub and Anne Greenbaum and Mitchell Luskin",
  booktitle =    "{Recent advances in iterative methods: [papers from
                 the IMA Workshop on Iterative Methods for Sparse and
                 Structured Problems, held in Minneapolis, Minnesota,
                 February 24--March 1, 1992]}",
  title =        "{Recent advances in iterative methods: [papers from
                 the IMA Workshop on Iterative Methods for Sparse and
                 Structured Problems, held in Minneapolis, Minnesota,
                 February 24--March 1, 1992]}",
  volume =       "60",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xvi + 225",
  year =         "1994",
  ISBN =         "0-387-94252-1 (New York), 3-540-94252-1 (Berlin)",
  ISBN-13 =      "978-0-387-94252-0 (New York), 978-3-540-94252-8
                 (Berlin)",
  LCCN =         "QA297.8 .R43 1994",
  MRclass =      "65-06",
  MRnumber =     "95m:65001",
  bibdate =      "Fri Dec 20 16:39:55 MST 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.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/v/vandervorst-henk-a.bib",
  series =       "The IMA Volumes in Mathematics and its Applications",
  URL =          "http://zbmath.org/?q=an:0790.00015",
  ZMnumber =     "0790.00015",
  acknowledgement = ack-nhfb,
  tableofcontents = "Some themes in Gene H. Golub's work on iterative
                 methods / Dianne P. O'Leary / 1 / \\
                 Computing the sparse singular value decomposition via
                 SVDPACK / Michael W. Berry / 13 \\
                 Gaussian quadrature applied to adaptive Chebyshev
                 iteration / D. Calvetti, G. H. Golub, and L. Reichel /
                 31 \\
                 Ordering effects on relaxation methods applied to the
                 discrete convection-diffusion equation / Howard C.
                 Elman and Michael P. Chernesky / 45 \\
                 On the error computation for polynomial based iteration
                 methods / Bernd Fischer and Gene H. Golub / 59 \\
                 Transpose-free quasi-minimal residual methods for
                 non-Hermitian linear systems / Roland W. Freund / 69
                 \\
                 Matrices that generate the same Krylov residual spaces
                 / Anne Greenbaum and Zdenek Strakos / 95 \\
                 Incomplete block factorizations as preconditioners for
                 sparse SPD matrices / L. Yu. Kolotilina and A. Yu
                 Yeremin / 119 \\
                 How fast can iterative methods be? / Olavi Nevanlinna /
                 135 \\
                 Rational Krylov algorithms for nonsymmetric eigenvalue
                 problems / Axel Ruhe / 149 \\
                 Highly parallel preconditioners for general sparse
                 matrices / Youcef Saad / 165 \\
                 A two-stage iteration for solving nearly completely
                 decomposable Markov chains / G. W. Stewart, W. J.
                 Stewart and D. F. McAllister / 201 \\
                 Minimum residual modifications to Bi-CG and to the
                 preconditioner / Henk A. Van der Vorst / 217",
}

@Proceedings{Griffiths:1994:NAP,
  editor =       "D. F. (David Francis) Griffiths and G. A. (G.
                 Alistair) Watson",
  booktitle =    "{Numerical analysis 1993: proceedings of the 15th
                 Dundee Conference, June--July 1993}",
  title =        "{Numerical analysis 1993: proceedings of the 15th
                 Dundee Conference, June--July 1993}",
  volume =       "303",
  publisher =    pub-LONGMAN,
  address =      pub-LONGMAN:adr,
  pages =        "275",
  year =         "1994",
  ISBN =         "0-582-22568-X",
  ISBN-13 =      "978-0-582-22568-8",
  ISSN =         "0269-3674",
  LCCN =         "QA297 .D85 1993",
  bibdate =      "Mon Jan 2 16:37:00 MST 2006",
  bibsource =    "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/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana1990.bib;
                 library.ox.ac.uk:210/ADVANCE",
  series =       "Pitman research notes in mathematics series",
  acknowledgement = ack-nhfb,
  meetingname =  "Dundee Biennial Conference on Numerical Analysis
                 (15th: 1993)",
  remark =       "The 15th Dundee Biennial Conference on Numerical
                 Analysis was held at the University of Dundee during
                 the 4 days June 29--July 2, 1993.",
  subject =      "Numerical analysis; Congresses",
  tableofcontents = "J. W. Harrett \& Wenbin Liu: Finite Element
                 Approximation of Degenerate Quasilinear Elliptic and
                 Parabolic Problems / 1 \\
                 R. K. Beatson \& M. J. D. Powell: An Iterative Method
                 for Thin Plate Spline Interpolation that Employs
                 Approximations to Lagrange Functions / 17 \\
                 I. S. Duff: The Solution of Augmented Systems / 10 \\
                 C. M. Elliott \& A. R. Gardiner: One Dimensional Phase
                 Field Computations / 56 \\
                 J. de Frutos \& J. M. Sanz-Serna: Erring and being
                 Conservative / 75 \\
                 P. E. Gill, W. Murray, D. B. Poncele{\'o}n \& M. A.
                 Saunders: Solving Reduced KKT Systems in Barrier
                 Methods for Linear Programming / 89 \\
                 G. H. Golub \& Gerard Meurant: Matrices, Moments, and
                 Quadrature / 105 \\
                 J. Groeneweg \& M. N. Spijker: On the Error due to the
                 Stopping of the Newton Iteration in Implicit Linear
                 Multistep Methods / 157 \\
                 D. J. Higham: The Dynamics of a Discretised Nonlinear
                 Delay Differential Equation / 167 \\
                 A. R. Humphries, D. A. Jones \& A. M. Stuart:
                 Approximation of Dissipative Partial Differential
                 Equations over Long Time Intervals / 180 \\
                 N. K. Nichols: Differential--Algebraic Equations and
                 Control System Design / 208 \\
                 G. W. Stewart: $UTV$ Decompositions / 225 \\
                 M. J. Todd: A Lower Bound on the Number of Iterations
                 of an Interior-Point Algorithm for Linear Programming /
                 237 \\
                 P. Townsend \& M. F. Webster: Computational Analysis in
                 Rheological Flow Problems / 260 \\
                 List of Contributed Talks / / 267",
}

@Proceedings{Stewart:1995:CMC,
  editor =       "William J. Stewart",
  booktitle =    "{Computations with Markov chains: proceedings of the
                 2nd International Workshop on the Numerical Solution of
                 Markov Chains}",
  title =        "{Computations with Markov chains: proceedings of the
                 2nd International Workshop on the Numerical Solution of
                 Markov Chains}",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  pages =        "xvi + 600",
  year =         "1995",
  ISBN =         "0-7923-9550-6",
  ISBN-13 =      "978-0-7923-9550-8",
  LCCN =         "QA274.7 .I595 1995",
  bibdate =      "Thu May 29 19:15:04 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 z3950.loc.gov:7090/Voyager",
  URL =          "http://zbmath.org/?q=an:0940.00042",
  ZMnumber =     "0940.00042",
  acknowledgement = ack-nhfb,
  meetingname =  "International Workshop on the Numerical Solution of
                 Markov Chains (2nd : 1995 : Raleigh, NC)",
  remark =       "Papers from the workshop held Jan. 16-18, 1995, in
                 Raleigh, NC",
  subject =      "Markov processes; Congresses",
  tableofcontents = "1. Detecting Block GI/M/1 and Block M/G/1 Matrices
                 from Model Specifications / S. Berson and R. Muntz / 1
                 \\
                 2. On Cyclic Reduction Applied to a Class of
                 Toeplitz-like Matrices Arising in Queueing Problems /
                 D. Bini and B. Meini / 21 \\
                 3. A Markov Modulated, Nearly Completely Decomposable
                 M/M/1 Queue / G. Latouche and P. J. Schweitzer / 39 \\
                 4. Preconditioned Krylov subspace methods for the
                 numerical solution of Markov chains / Y. Saad / 49 \\
                 5. A Parallel Block Projection Method of the Cimmino
                 Type for Finite Markov Chains / M. Benzi, F. Sgallari
                 and G. Spaletta / 65 \\
                 6. Iterative Methods for Queueing Models with Batch
                 Arrivals / R. H. Chun and W.-K. Ching / 81 \\
                 7. Transient Colutions of Markov Processes by Krylov
                 Subspaces / R. B. Sidje and B. Philippe / 95 \\
                 8. Exact Methods for the Transient Analysis of
                 Nonhomogeneous Continuous Time Markov Chains / A.
                 Rindos, S. Woolet, I. Viniotis and K. Trivedi / 121 \\
                 Time-Dependent behavior of Redundant Systems with
                 Deterministic Repair / / 135 \\
                 What is Fundamental for Markov Chains: First Passage
                 Times, Fundamental Matrices, and Group Generalized
                 Inverses / / 151 \\
                 Immediate Events in Markov Chains / / 163 \\
                 Compositional Markovian Modelling Using A Process
                 Algebra / / 177 \\
                 Equivalence Relations for Stochastic Automata Networks
                 / / 197 \\
                 Graphs and Stochastic Automata Networks / / 217 \\
                 Analyzing Sample Path Data from Markov Chain Sampling
                 Experiments / / 237 \\
                 Resource Sharing Models with State-Dependent Arrivals
                 of Batches / / 255 \\
                 Implementable Policies: Discounted Cost Case / / 283
                 \\
                 Two Bounding Schemes for the Steady-State Solution of
                 Markov Chains / / 307 \\
                 The Power-Series Algorithm for Markovian Queueing
                 Networks / / 321 \\
                 Discrete-Time Markovian Stochastic Petri Nets / / 339
                 \\
                 Concurrent Generalized Petri Nets / / 359 \\
                 Exploiting Isomorphisms and Special Structures in the
                 Analysis of Markov Regenerative Stochastic Petri Nets /
                 / 383 \\
                 Numerical solution of large finite Markov chains by
                 algebraic multigrid techniques / / 403 \\
                 On the Utility of the Multi-Level Algorithm for the
                 Solution of Nearly Completely Decomposable Markov
                 Chains / / 425 \\
                 A Computationally Efficient Algorithm for
                 Characterizing the Superposition of Multiple
                 Heterogeneous Interrupted Bernoulli Processes / / 443
                 \\
                 Generalized Folding Algorithm for Transient Analysis of
                 Finite QBD Processes and its Queueing Applications / /
                 463 \\
                 Efficient Solutions for a Class of Non-Markovian Models
                 / / 483 \\
                 Markovian Arrival and Service Communication Systems:
                 Spectral Expansions, Separability and Kronecker-Product
                 Forms / / 507 \\
                 Empirical Comparison of Uniformization Methods for
                 Continuous-Time Markov Chains / / 547 \\
                 Numerical Methods for M/G/1 Type Queues / / 571 \\
                 Closing the Gap between Classical and Tensor Based
                 Iteration Techniques / / 582 \\
                 Adaptive Relaxation for the Steady-State Analysis of
                 Markov Chains / / 585 \\
                 State Space Decomposition for Large Markov Chains / /
                 587 \\
                 Aggregation/Disaggregation Method on Parallel Computer
                 / / 591 \\
                 Parallel Implementation of the GTH Algorithm for Markov
                 Chains / / 594 \\
                 A Parallel Implementation of the Block-GTH algorithm /
                 / 597 \\
                 Approximate Computation of Sojourn Time Distribution in
                 Open Queueing Networks / / 599",
}

@Proceedings{vanHuffel:1997:RAT,
  editor =       "Sabine van Huffel",
  booktitle =    "{Recent advances in total least squares techniques and
                 errors-in-variables modeling}",
  title =        "{Recent advances in total least squares techniques and
                 errors-in-variables modeling}",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xxii + 377",
  year =         "1997",
  ISBN =         "0-89871-393-5",
  ISBN-13 =      "978-0-89871-393-0",
  LCCN =         "QA275 .R4 1997",
  bibdate =      "Thu May 29 19:17:47 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "Proceedings of the Second International Workshop on
                 Total Least Squares and Errors-in-Variables Modeling,
                 Leuven, Belgium, August 21--24, 1996.",
  URL =          "http://zbmath.org/?q=an:0861.00018",
  ZMnumber =     "0861.00018",
  acknowledgement = ack-nhfb,
  subject =      "Least squares; Congresses; Error analysis
                 (Mathematics)",
}

@Proceedings{ACM:1998:AWJ,
  editor =       "{ACM}",
  booktitle =    "ACM 1998 Workshop on Java for High-Performance Network
                 Computing, February 28 and March 1, 1998",
  title =        "{ACM} 1998 Workshop on Java for High-Performance
                 Network Computing, February 28 and March 1, 1998",
  publisher =    pub-ACM,
  address =      pub-ACM:adr,
  pages =        "????",
  year =         "1998",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Tue Feb 26 08:15:29 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  note =         "Possibly unpublished, except electronically.",
  URL =          "http://www.cs.ucsb.edu/conferences/java98/program.html",
  acknowledgement = ack-nhfb,
}

@Proceedings{IEEE:2002:IIC,
  editor =       "{IEEE}",
  booktitle =    "{2002 IEEE international conference on acoustics,
                 speech and signal processing: proceedings, May 13-17,
                 2002, Renaissance Orlando Resort, Orlando, Florida,
                 USA}",
  title =        "{2002 IEEE international conference on acoustics,
                 speech and signal processing: proceedings, May 13-17,
                 2002, Renaissance Orlando Resort, Orlando, Florida,
                 USA}",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "civ + 4194 (4 volumes)",
  year =         "2002",
  ISBN =         "0-7803-7402-9 (paperback)",
  ISBN-13 =      "978-0-7803-7402-7 (paperback)",
  LCCN =         "TA365 I11 2002; TK7882.S65 I61 2002",
  bibdate =      "Wed May 28 17:21:25 MDT 2014",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib",
  note =         "IEEE catalog number 02CH37334C",
  acknowledgement = ack-nhfb,
  subject =      "Speech processing systems; Signal processing systems;
                 Electro-acoustics; Underwater acoustics; Integrated
                 circuits; Very large scale integration; DSP; signal
                 multidimensionnel; traitement parole; traitement signal
                 biom{\'e}dical; syst{\`e}me embarqu{\'e}; architecture
                 traitement signal; multim{\'e}dia; temps r{\'e}el;
                 filigrane; indexation video; analyse image;
                 authentification; codage vid{\'e}o; codage image;
                 algorithme traitement image; Traitement du signal;
                 Congr{\`e}s; Traitement automatique de la parole;
                 {\'E}lectroacoustique; Acoustique sous-marine; Circuits
                 int{\'e}gr{\'e}s {\`a} tr{\`e}s grande {\'e}chelle;
                 DSP; signal multidimensionnel; traitement parole;
                 traitement signal biom{\'e}dical; syst{\`e}me
                 embarqu{\'e}; architecture traitement signal;
                 multim{\'e}dia; temps r{\'e}el; filigrane; indexation
                 video; analyse image; authentification; codage
                 vid{\'e}o; codage image; algorithme traitement image.",
  tableofcontents = "Vol. 1, Speech processing, neural networks for
                 signal processing \\
                 Vol. 2, Signal processing theory and methods, audio and
                 electro-acoustics, multimedia signal processing \\
                 Vol. 3, Signal processing for communications, sensor
                 array and multichannel signal processing, design and
                 implementation of signal processing systems \\
                 Vol. 4, Image and multidimensional signal processing,
                 industry technology tracks, special sessions, signal
                 processing education, student forum (all areas)",
}

@Book{Kilmer:2010:GWS,
  editor =       "Misha Elena Kilmer and Dianne P. O'Leary",
  booktitle =    "{G. W. Stewart}: selected works with commentaries",
  title =        "{G. W. Stewart}: selected works with commentaries",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  pages =        "xii + 729",
  year =         "2010",
  DOI =          "https://doi.org/10.1007/978-0-8176-4968-5",
  ISBN =         "0-8176-4967-0 (hardcover), 0-8176-4968-9 (e-book)",
  ISBN-13 =      "978-0-8176-4967-8 (hardcover), 978-0-8176-4968-5
                 (e-book)",
  LCCN =         "QA188 .S74 2010",
  bibdate =      "Wed May 28 12:51:20 MDT 2014",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  series =       "Contemporary mathematicians",
  URL =          "http://public.eblib.com/EBLPublic/PublicView.do?ptiID=64586;
                 http://rave.ohiolink.edu/ebooks/ebc/978081764968;
                 http://site.ebrary.com/id/1042123",
  abstract =     "Published in honor of his 70th birthday, this volume
                 explores and celebrates the work of G. W. (Pete)
                 Stewart, a world-renowned expert in computational
                 linear algebra. This volume includes: forty-four of
                 Stewart's most influential research papers in two
                 subject areas: matrix algorithms, and rounding and
                 perturbation theory; a biography of Stewart; a complete
                 list of his publications, students, and honors;
                 selected photographs; and commentaries on his works in
                 collaboration with leading experts in the field.
                 \booktitle{G. W. Stewart: Selected Works with
                 Commentaries} will appeal to graduate students,
                 practitioners.",
  acknowledgement = ack-nhfb,
  subject =      "Stewart, G. W (Gilbert W.); Perturbation
                 (Mathematics); Matrices",
  tableofcontents = "Cover \\
                 G. W. Stewart \\
                 Contents \\
                 Foreword \\
                 List of Contributors \\
                 Part I: G. W. Stewart \\
                 1. Biography of G. W. Stewart \\
                 2. Publications, Honors, and Students \\
                 2.1 Publications of G. W. Stewart \\
                 2.2 Major Honors of G. W. Stewart \\
                 2.3 Ph.D. Students of G. W. Stewart \\
                 Part II: Commentaries \\
                 3. Introduction to the Commentaries \\
                 4. Matrix Decompositions: Linpack and Beyond \\
                 4.1 The Linpack Project \\
                 4.2 Some Algorithmic Insights \\
                 4.3 The Triangular Matrices of Gaussian Elimination and
                 Related Decompositions \\
                 4.4 Solving Sylvester Equations \\
                 4.5 Perturbation Bounds for Matrix Factorizations \\
                 4.6 Rank Degeneracy \\
                 4.7 Pivoted $QR$ as an Alternative to SVD \\
                 4.8 Summary \\
                 5. Updating and Downdating Matrix Decompositions \\
                 5.1 Solving Nonlinear Systems of Equations \\
                 5.2 More General Update Formulas for $QR$ \\
                 5.3 Effects of Rounding Error on Downdating Cholesky
                 Factorizations \\
                 5.4 Stability of a Sequence of Updates and Downdates
                 \\
                 5.5 An Updating Algorithm for Subspace Tracking \\
                 5.6 From the $URV$ to the $ULV$ \\
                 5.7 Impact \\
                 6. Least Squares, Projections, and Pseudoinverses \\
                 6.1 Continuity of the Pseudoinverse \\
                 6.2 Perturbation Theory \\
                 6.3 Weighted Pseudoinverses \\
                 6.4 Impact \\
                 7. The Eigenproblem and Invariant Subspaces:
                 Perturbation Theory \\
                 7.1 Perturbation of Eigenvalues of General Matrices \\
                 7.2 Further Results for Hermitian Matrices \\
                 7.3 Stochastic Matrices \\
                 7.4 Graded Matrices \\
                 7.5 Rayleigh / Ritz Approximations \\
                 7.6 Powers of Matrices \\
                 7.7 Impact \\
                 8. The SVD, Eigenproblem, and Invariant Subspaces:
                 Algorithms \\
                 8.1 Who Invented Subspace Iteration? \\
                 8.2 Extracting Invariant Subspaces \\
                 8.3 Approximating the SVD \\
                 8.4 Impact \\
                 9. The Generalized Eigenproblem \\
                 9.1 Perturbation Theory \\
                 9.2 The $QZ$ Algorithm \\
                 9.3 Gershgorin's Theorem \\
                 9.4 Definite Pairs \\
                 10. Krylov Subspace Methods for the Eigenproblem \\
                 10.1 A Krylov / Schur Algorithm \\
                 10.2 Backward Error Analysis of Krylov Subspace Methods
                 \\
                 10.3 Adjusting the Rayleigh Quotient in Lanczos Methods
                 \\
                 10.4 Impact \\
                 11. Other Contributions \\
                 References \\
                 Index \\
                 Part III: Reprints \\
                 12 Papers on Matrix Decompositions \\
                 12.1 [GWS-B / 2] (with J. J. Dongarra, J. R. Bunch, and
                 C. B. Moler) Introduction from Linpack Users Guide \\
                 12.2 [GWS-J / 17] (with R. H. Bartels), ''Algorithm
                 432: Solution of the Matrix Equation $AX + XB = C$''
                 \\
                 12.3 [GWS-J / 32] ''The Economical Storage of Plane
                 Rotations'' \\
                 12.4 [GWS-J / 34] ''Perturbation Bounds for the $QR$
                 Factorization of a Matrix'' \\
                 12.5 [GWS-J / 42] (with A. K. Cline, C. B. Moler, and
                 J. H. Wilkinson), ''An Estimate for the Condition
                 Number of a Matrix'' \\
                 12.6 [GWS-J / 49] ''Rank Degeneracy'' \\
                 12.7 [GWS-J / 78] ''On the Perturbation of $LU$,
                 Cholesky, and $QR$ Factorizations'' \\
                 12.8 [GWS-J / 89] ''On Graded $QR$ Decompositions of
                 Products of Matrices'' \\
                 12.9 [GWS-J / 92] ''On the Perturbation of $LU$ and
                 Cholesky Factors'' \\
                 12.10 [GWS-J / 94] ''The Triangular Matrices of
                 Gaussian Elimination and Related Decompositions'' \\
                 12.11 [GWS-J / 103] ''Four Algorithms for the the [sic]
                 Efficient Computation of Truncated Pivoted $QR$
                 Approximations to a Sparse Matrix'' \\
                 12.12 GWS-J / 118 (with M. W. Berry and S. A. Pulatova)
                 ''Algorithm 844: Computing Sparse Reduced-Rank
                 Approximations to Sparse Matrices'' \\
                 13 Papers on Updating and Downdating Matrix
                 Decompositions \\
                 14 Papers on Least Squares, Projections, and
                 Generalized Inverses \\
                 15 Papers on the Eigenproblem and Invariant Subspaces:
                 Perturbation Theory \\
                 16 Papers on the SVD, Eigenproblem and Invariant
                 Subspaces: Algorithms \\
                 17 Papers on the Generalized Eigenproblem \\
                 18 Papers on Krylov Subspace Methods for the
                 Eigenproblem",
}

%%% Last MathSciNet search: Tue May 31 10:49:37 2016