%%% -*-BibTeX-*-
%%% ====================================================================
%%%  BibTeX-file{
%%%     author          = "Iain S. Duff",
%%%     version         = "2.66",
%%%     date            = "29 November 2023",
%%%     time            = "10:55:43 MST",
%%%     filename        = "duff-iain-s.bib",
%%%     address         = "Rutherford Appleton Laboratory
%%%                        Chilton, Oxon
%%%                        UK",
%%%     telephone       = "+44-235-445803",
%%%     FAX             = "+44-235-446626",
%%%     checksum        = "50428 11174 48207 482114",
%%%     email           = "isd at letterbox.rl.ac.uk (Internet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "bibliography; BibTeX; matrix analysis; numerical
%%%                        analysis",
%%%     license         = "public domain",
%%%     supported       = "yes",
%%%     docstring       = "This is a bibliography of publications of
%%%                        Iain S. Duff.  The companion LaTeX file
%%%                        duff-iain-s.ltx can be used to typeset
%%%                        this bibliography.
%%%
%%%                        The Web sites
%%%
%%%                            http://www.numerical.rl.ac.uk/people/isd/pubs.html
%%%                            http://www.cse.clrc.ac.uk/nag/
%%%                            http://epubs.cclrc.ac.uk/
%%%                            http://epubs.cclrc.ac.uk/search-printable?st=&q=Duff,%20Iain&mpp=-1&so=
%%%
%%%                        may contain additional data.
%%%
%%%                        At version 2.66, the year coverage looked
%%%                        like this:
%%%
%%%                             1972 (   1)    1990 (  28)    2008 (   2)
%%%                             1973 (   0)    1991 (  14)    2009 (   3)
%%%                             1974 (   3)    1992 (  20)    2010 (   4)
%%%                             1975 (   1)    1993 (  15)    2011 (   5)
%%%                             1976 (   2)    1994 (  24)    2012 (   5)
%%%                             1977 (   3)    1995 (  17)    2013 (   1)
%%%                             1978 (   2)    1996 (  19)    2014 (   0)
%%%                             1979 (   9)    1997 (  20)    2015 (   5)
%%%                             1980 (   6)    1998 (  14)    2016 (   1)
%%%                             1981 (   9)    1999 (  20)    2017 (   2)
%%%                             1982 (  13)    2000 (  13)    2018 (   3)
%%%                             1983 (   7)    2001 (  20)    2019 (   0)
%%%                             1984 (  16)    2002 (  15)    2020 (   3)
%%%                             1985 (  11)    2003 (   9)    2021 (   0)
%%%                             1986 (  12)    2004 (  14)    2022 (   0)
%%%                             1987 (  21)    2005 (   8)    2023 (   1)
%%%                             1988 (  12)    2006 (   0)
%%%                             1989 (  30)    2007 (   4)
%%%                             19xx (   1)
%%%
%%%                             Article:        166
%%%                             Book:            25
%%%                             InCollection:    12
%%%                             InProceedings:   70
%%%                             Misc:             1
%%%                             PhdThesis:        1
%%%                             Proceedings:     56
%%%                             TechReport:     137
%%%
%%%                             Total entries:  468
%%%
%%%                        This file is available as part of the BibNet
%%%                        Project.  The master copy is available for
%%%                        public access on ftp.math.utah.edu in the
%%%                        directory tree /pub/bibnet/authors.  It is
%%%                        mirrored to netlib.bell-labs.com in the directory
%%%                        tree /netlib/bibnet/authors, from which it is
%%%                        available via anonymous ftp and the Netlib
%%%                        service.
%%%
%%%                        This bibliography was collected from
%%%                        multiple sources:
%%%
%%%                        * the authors' own files;
%%%                        * the TeX User Group bibliography
%%%                          collection on ftp.math.utah.edu in
%%%                          /pub/tex/bib;
%%%                        * the very large Computer Science
%%%                          bibliography collection on ftp.ira.uka.de
%%%                          in /pub/bibliography, to which many people
%%%                          have contributed;
%%%                        * the ACM Computing Archive CD ROM,
%%%                          covering literature of the 1980s;
%%%                        * the IEEE Inspec CD ROMs for 1989--1996;
%%%                        * Internet library catalogs, including
%%%                          University of California MELVYL, Stanford
%%%                          University RLIN, Library of Congress,
%%%                          OCLC;
%%%                        * the Compendex database;
%%%                        * the OCLC Contents1st and Article1st
%%%                          databases;
%%%                        * the AMS MathSciNet database;
%%%                        * the CCLRC ePublication Archive;
%%%                        * Iain S. Duff's personal Web site.
%%%
%%%                        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{
  "\hyphenation{
                No-ailles
                Tou-louse
               }" #
  "\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi" #
  "\let \k = \c"
}

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

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

%%% ====================================================================
%%% Places; use these in place of the full names in the institution field.

@String{inst-ANL                = "Argonne National Laboratory"}
@String{inst-ANL:adr            = "9700 South Cass Avenue, Argonne, IL
                                  60439-4801, USA"}

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

@String{inst-FUNDP              = "Department of Mathematics, FUNDP"}
@String{inst-FUNDP:adr          = "Namur, Belgium"}

@String{inst-HARWELL            = "{AERE Harwell} Laboratory"}
@String{inst-HARWELL:adr        = "Chilton, Oxon, England"}

@String{inst-IRIT               = "Institut de Recherche en Informatique de
                                  Toulouse (IRIT)"}
@String{inst-IRIT:adr           = "Toulouse, France"}

@String{inst-NOC-HATFIELD-POLYTECHNIC = "Numerical Optimization Center,
                                  Hatfield Polytechnic"}
@String{inst-NOC-HATFIELD-POLYTECHNIC:adr = "??"}

@String{inst-RAL                = "Rutherford Appleton Laboratory"}
@String{inst-RAL:adr            = "Chilton, Oxon, England"}

%%% ====================================================================
%%%  Journals; use these in place of the full names in the journal field.

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

@String{j-ANN-OPER-RESEARCH     = "Annals of Operations Research"}

@String{j-BIT                   = "BIT"}

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

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

@String{j-COMP-ARCH-NEWS        = "ACM SIGARCH Computer Architecture News"}

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

@String{j-COMP-PHYS-REP         = "Computer Physics Rep"}

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

@String{j-COMPUTING             = "Computing"}

@String{j-CRAY-CHANNELS         = "CRAY Channels"}

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

@String{j-EUROPEAN-J-OPER-RESEARCH = "European Journal of Operations
                                  Research"}

@String{j-IJHPCA                = "The International Journal of High Performance
                                  Computing Applications"}

@String{j-IJSA                  = "The International Journal of
                                  Supercomputer Applications"}

@String{j-IJSAHPC               = "The International Journal of
                                  Supercomputer Applications and High
                                  Performance Computing"}

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

@String{j-INT-J-COMPUT-MATH     = "International Journal of Computer Mathematics"}

@String{j-INT-J-HIGH-SPEED-COMPUTING = "International Journal of High Speed
                                  Computing"}

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

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

@String{j-INT-J-NUM-METH-FLUIDS = "International Journal for Numerical Methods
                                  in Fluids"}

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

@String{j-J-ENG-MATH            = "Journal of Engineering Mathematics"}

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

@String{j-J-OPT-THEORY-APPL     = "Journal of Optimization Theory and
                                  Applications"}

@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-MAA-STUD-MATH         = "MAA Stud. Math"}

@String{j-MATH-COMPUT           = "Math. Comp."}

@String{j-NUM-LIN-ALG-APPL      = "Numerical linear algebra with applications"}

@String{j-NUM-MATH              = "Num. Math"}

@String{j-NUMER-ALGEBRA-CONTROL-OPTIM = "Numerical Algebra, Control and Optimization"}

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

@String{j-PROC-IEEE             = "Proc IEEE"}

@String{j-SIAM-J-ALG-DISC-METH =  "SIAM Journal on Algebraic and Discrete
                                  Methods"}

@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-REVIEW           = "SIAM Review"}

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

@String{j-THEOR-CHIM-ACTA       = "Theoretica Chimica Acta"}

@String{j-TOMS                  = "Trans. on Mathematical Software"}

%%% ====================================================================
%%% Publishers; use these in place of the full names in the publisher field.

@String{pub-ACM                 = "ACM Press"}
@String{pub-ACM:adr             = "New York, NY 10036, USA"}

@String{pub-AH                  = "Adam Hilger Ltd."}
@String{pub-AH:adr              = "Bristol, UK"}

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

@String{pub-AW                  = "Addison-Wesley Publishing Company"}

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

@String{pub-CAMBRIDGE           = "Cambridge University Press"}
@String{pub-CAMBRIDGE:adr       = "Cambridge, UK"}

@String{pub-CHAPMAN-HALL        = "Chapman and Hall, Ltd."}
@String{pub-CHAPMAN-HALL:adr    = "London, UK"}

@String{pub-CLARENDON           = "Clarendon Press"}
@String{pub-CLARENDON:adr       = "Oxford, UK"}

@String{pub-CRC                 = "CRC Press"}
@String{pub-CRC:adr             = "2000 N.W. Corporate Blvd., Boca Raton, FL
                                    33431-9868, USA"}

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

@String{pub-DUNOD               = "Dunod"}
@String{pub-DUNOD:adr           = "Paris, France"}

@String{pub-EH                  = "Ellis Horwood Ltd."}
@String{pub-EH:adr              = "New York, NY, USA"}

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

@String{pub-EYROLLES            = "Editions Eyrolles"}

@String{pub-FRANCO-ANGELI       = "Franco Angeli"}
@String{pub-FRANCO-ANGELI:adr   = "N. Milan, Italy"}

@String{pub-GOWER               = "Gower Technical Press"}
@String{pub-GOWER:adr           = "Brookfield, VT, USA"}

@String{pub-HMSO                = "Her Majesty's Stationary Office"}
@String{pub-HMSO:adr            = "London, England"}

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

@String{pub-KLUWER              = "Kluwer Academic Publishers"}
@String{pub-KLUWER:adr          = "Dordrecht, The Netherlands"}

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

@String{pub-MATH-ASSOC-AMER     = "Mathematical Association of America"}
@String{pub-MATH-ASSOC-AMER:adr = "Washington, DC"}

@String{pub-MH                  = "McGraw-Hill"}

@String{pub-MIT                 = "The MIT Press"}

@String{pub-NORTH-HOLLAND       = "North-Hol{\-}land"}
@String{pub-NORTH-HOLLAND:adr   = "Amsterdam, The Netherlands"}

@String{pub-ORA                 = "O'Reilly \& Associates"}

@String{pub-OXFORD              = "Oxford University Press"}
@String{pub-OXFORD:adr          = "Walton Street, Oxford OX2 6DP, UK"}

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

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

@String{pub-PRESSES-POLYTECH-ROMANDES = "Presses Polytechniques
                                  Romandes"}

@String{pub-RAL                 = "Rutherford Appleton Laboratory"}
@String{pub-RAL:adr             = "Chilton, Oxon, England"}

@String{pub-SIAM                = "SIAM"}
@String{pub-SIAM:adr            = "Philadelphia, PA, USA"}

@String{pub-SUSSP               = "SUSSP Publications"}
@String{pub-SUSSP:adr           = "Edinburgh, Scotland"}

@String{pub-SV                  = "Springer-Verlag"}
@String{pub-SV:adr              = "Berlin, Germany~/ Heidelberg,
                                  Germany~/ London, UK~/ etc."}

@String{pub-TEUBNER             = "B. G. Teubner"}
@String{pub-TEUBNER:adr         = "Stuttgart, Germany"}

@String{pub-UT-A                = "University of Texas at Austin"}
@String{pub-UT-A:adr            = "Austin, TX, USA"}

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

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

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

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

%%% ====================================================================

%%% Bibliography entries:

@PhdThesis{Duff:1972:ASS,
  author =       "Iain Spencer Duff",
  title =        "Analysis of Sparse Systems",
  type =         "{D. Phil.}",
  school =       "Oxford University",
  address =      "Oxford, England",
  year =         "1972",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "https://ora.ox.ac.uk/objects/uuid:fd22f551-9f4d-4e18-bcaf-2d62b8c2703c;
                 https://search.proquest.com/pqdtglobal/docview/302648215",
  abstract =     "The aim of this thesis is to conduct a general
                 investigation in the field of sparse matrices, to
                 investigate and compare various techniques for handling
                 sparse systems suggested in the literature, to develop
                 some new techniques, and to discuss the feasibility of
                 using sparsity techniques in the solution of
                 overdetermined equations and the eigenvalue problem.",
  acknowledgement = ack-nhfb,
  advisor =      "Leslie Fox and Reginald Prabhakar Tewarson",
  keywords =     "Combinatorics; Computer science (mathematics); direct
                 methods; Gaussian elimination; graph theory;
                 Mathematics; Numerical analysis; sparse matrices",
}

@Article{Duff:1974:CSO,
  author =       "Iain S. Duff and John K. Reid",
  title =        "A comparison of sparsity orderings for obtaining a
                 pivotal sequence in {Gaussian} elimination",
  journal =      j-J-INST-MATH-APPL,
  volume =       "14",
  number =       "????",
  pages =        "281--291",
  year =         "1974",
  CODEN =        "JMTAA8",
  ISSN =         "0020-2932",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Institute of Mathematics and its
                 Applications",
  journal-URL =  "http://imamat.oxfordjournals.org/content/by/year",
}

@Article{Duff:1974:NNA,
  author =       "I. S. Duff",
  title =        "On the number of nonzeros added when {Gaussian}
                 elimination is performed on sparse random matrices",
  journal =      j-MATH-COMPUT,
  volume =       "28",
  number =       "125",
  pages =        "219--230",
  month =        jan,
  year =         "1974",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290H (Linear algebra); C4140 (Linear algebra)",
  corpsource =   "Oxford Univ., UK",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "error analysis; fill in properties; Gaussian
                 elimination; matrices; matrix algebra; nonzeros added;
                 random graphs; sparse random",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Duff:1974:PSR,
  author =       "Iain S. Duff",
  title =        "Pivot selection and row ordering in {Givens} reduction
                 on sparse matrices",
  journal =      j-COMPUTING,
  volume =       "13",
  pages =        "239--248",
  year =         "1974",
  CODEN =        "CMPTA2",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  ISSN-L =       "0010-485X",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computing: Archiv f{\"u}r informatik und numerik",
  journal-URL =  "http://link.springer.com/journal/607",
}

@Article{Duff:1975:RSM,
  author =       "Iain S. Duff and John K. Reid",
  title =        "On the reduction of sparse matrices to condensed forms
                 by similarity transformations",
  journal =      j-J-INST-MATH-APPL,
  volume =       "15",
  number =       "????",
  pages =        "217--224",
  year =         "1975",
  CODEN =        "JMTAA8",
  ISSN =         "0020-2932",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Institute of Mathematics and its
                 Applications",
  journal-URL =  "http://imamat.oxfordjournals.org/content/by/year",
}

@Article{Duff:1976:CSM,
  author =       "Iain S. Duff and John K. Reid",
  title =        "A comparison of some methods for the solution of
                 sparse overdetermined systems of linear equations",
  journal =      j-J-INST-MATH-APPL,
  volume =       "17",
  number =       "????",
  pages =        "267--280",
  year =         "1976",
  CODEN =        "JMTAA8",
  ISSN =         "0020-2932",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Institute of Mathematics and its
                 Applications",
  journal-URL =  "http://imamat.oxfordjournals.org/content/by/year",
}

@Article{Duff:1976:GND,
  author =       "Iain S. Duff and A. M. Erisman and J. K. Reid",
  title =        "On {George}'s Nested Dissection Method",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "13",
  number =       "5",
  pages =        "686--695",
  month =        oct,
  year =         "1976",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/0713056",
  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/d/duff-iain-s.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@TechReport{Duff:1977:MSF,
  author =       "Iain S. Duff",
  title =        "{MA28} --- {A} set of {Fortran} subroutines for sparse
                 unsymmetric linear equations",
  number =       "AERE R8730",
  institution =  pub-HMSO,
  address =      pub-HMSO:adr,
  year =         "1977",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1977:PBT,
  author =       "Iain S. Duff",
  title =        "On permutations to block triangular form",
  journal =      j-J-INST-MATH-APPL,
  volume =       "19",
  pages =        "339--342",
  year =         "1977",
  CODEN =        "JMTAA8",
  ISSN =         "0020-2932",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Institute of Mathematics and its
                 Applications",
  journal-URL =  "http://imamat.oxfordjournals.org/content/by/year",
}

@Article{Duff:1977:SSM,
  author =       "Iain S. Duff",
  title =        "A Survey of Sparse Matrix Research",
  journal =      j-PROC-IEEE,
  volume =       "65",
  pages =        "500--535",
  year =         "1977",
  CODEN =        "IEEPAD",
  DOI =          "https://doi.org/10.1109/PROC.1977.10514",
  ISSN =         "0018-9219 (print), 1558-2256 (electronic)",
  ISSN-L =       "0018-9219",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the IEEE",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5",
}

@Article{Duff:1978:APB,
  author =       "Iain S. Duff and J. K. Reid",
  title =        "Algorithm 529: Permutations To Block Triangular Form
                 [{F1}]",
  journal =      j-TOMS,
  volume =       "4",
  number =       "2",
  pages =        "189--192",
  month =        jun,
  year =         "1978",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/355780.355790",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
}

@Article{Duff:1978:ITA,
  author =       "Iain S. Duff and J. K. Reid",
  title =        "An Implementation of {Tarjan}'s Algorithm for the
                 Block Triangularization of a Matrix",
  journal =      j-TOMS,
  volume =       "4",
  number =       "2",
  pages =        "137--147",
  month =        jun,
  year =         "1978",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/355780.355785",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  keywords =     "sparse, graph",
}

@Article{Duff:1979:DSS,
  author =       "Iain S. Duff and John K. Reid and Neils Munskgaard and
                 Hans B. Neilsen",
  title =        "Direct solution of sets of linear equations whose
                 matrix is sparse, symmetric and indefinite",
  journal =      j-J-INST-MATH-APPL,
  volume =       "23",
  number =       "????",
  pages =        "235--250",
  year =         "1979",
  CODEN =        "JMTAA8",
  ISSN =         "0020-2932",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Institute of Mathematics and its
                 Applications",
  journal-URL =  "http://imamat.oxfordjournals.org/content/by/year",
}

@InProceedings{Duff:1979:PCC,
  author =       "Iain S. Duff",
  title =        "Practical Comparisons of Codes for the Solution of
                 Sparse Linear Systems",
  crossref =     "Duff:1979:SMP",
  pages =        "107--134",
  year =         "1979",
  MRclass =      "65F05",
  MRnumber =     "82j:65018",
  bibdate =      "Wed Jan 17 09:23:28 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Duff:1979:PEC,
  author =       "Iain S. Duff and J. K. Reid",
  title =        "Performance evaluation of codes for sparse matrix
                 problems",
  crossref =     "Fosdick:1979:PEN",
  pages =        "121--135",
  year =         "1979",
  bibdate =      "Fri Nov 11 17:48:17 MST 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Duff:1979:SCA,
  author =       "Iain S. Duff",
  title =        "Some current approaches to the solution of large
                 sparse systems of linear equations",
  crossref =     "Absi:1980:NME",
  pages =        "559--573",
  year =         "1979",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1979:SDF,
  author =       "Iain S. Duff and J. K. Reid",
  title =        "Some Design Features of a Sparse Matrix Code",
  journal =      j-TOMS,
  volume =       "5",
  number =       "1",
  pages =        "18--35",
  month =        mar,
  year =         "1979",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/355815.355817",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
}

@TechReport{Duff:1979:SNN,
  author =       "Iain S. Duff",
  title =        "Some notes on numerical library construction",
  type =         "Report",
  number =       "AERE M3057",
  institution =  inst-HARWELL,
  address =      inst-HARWELL:adr,
  year =         "1979",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Bjorck:1980:DMS,
  author =       "{\AA}. Bj{\"o}rck and Iain S. Duff",
  title =        "A Direct Method for the Solution of Sparse Linear
                 Least Squares Problems",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "34",
  pages =        "43--67",
  year =         "1980",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(80)90158-5",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65D10 (65F05)",
  MRnumber =     "81m:65021",
  MRreviewer =   "Hans-J{\"u}rgen Albrand",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
  keywords =     "lsq; nla; sparse",
}

@Book{Duff:1980:MSF,
  author =       "Iain S. Duff",
  title =        "{MA28}, a set of {Fortran} subroutines for sparse
                 unsymmetric linear equations",
  publisher =    "Computer Science and Systems Division, AERE Harwell",
  address =      "Harwell, Berkshire, UK",
  edition =      "1980 revision",
  pages =        "104",
  month =        nov,
  year =         "1980",
  ISBN =         "0-7058-0593-X",
  ISBN-13 =      "978-0-7058-0593-3",
  LCCN =         "QA195 .D84x",
  bibdate =      "Sat Jan 27 13:40:57 MST 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  series =       "AERE-R 8730 Report (Atomic Energy Research
                 Establishment (Harwell, Oxfordshire)); AERE-R 8730.",
  acknowledgement = ack-nhfb,
  keywords =     "Equations, Simultaneous --- Computer programs.;
                 FORTRAN (Computer program language); Sparse matrices
                 --- Computer programs.",
}

@InProceedings{Duff:1980:RDS,
  author =       "Iain S. Duff",
  title =        "Recent developments in the solution of large sparse
                 linear equations",
  crossref =     "Glowinski:1980:CMA",
  pages =        "407--426",
  year =         "1980",
  MRclass =      "65F05 (65F10)",
  MRnumber =     "81j:65054",
  bibdate =      "Wed Jan 17 09:27:22 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1980:SMT,
  author =       "Iain S. Duff",
  title =        "Sparse matrix techniques",
  type =         "Publicaci{\'o}n",
  number =       "80-03",
  institution =  "Escuela de Computacion. Universidad Central de
                 Venezuela",
  address =      "Caracas, Venezuela",
  year =         "1980",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1981:AOM,
  author =       "Iain S. Duff",
  title =        "On Algorithms for Obtaining a Maximum Transversal",
  journal =      j-TOMS,
  volume =       "7",
  number =       "3",
  pages =        "315--330",
  month =        sep,
  year =         "1981",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/355958.355963",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  keywords =     "unsymmetric permutations, maximum transversal, maximum
                 assignment, block-triangular form, sparse matrices,
                 perm, sparse",
}

@Article{Duff:1981:APZ,
  author =       "Iain S. Duff",
  title =        "Algorithm 575: Permutations for a Zero-Free Diagonal
                 [{F1}]",
  journal =      j-TOMS,
  volume =       "7",
  number =       "3",
  pages =        "387--390",
  month =        sep,
  year =         "1981",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/355958.355968",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  keywords =     "unsymmetric permutations, maximum transversal, maximum
                 assignment, block triangular form, sparse matrices",
}

@InProceedings{Duff:1981:DUF,
  author =       "Iain S. Duff",
  title =        "The design and use of a frontal scheme for solving
                 sparse unsymmetric equations",
  crossref =     "Hennart:1982:NAP",
  pages =        "240--247",
  year =         "1981",
  bibdate =      "Fri Nov 11 17:48:17 MST 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Duff:1981:FMT,
  author =       "Iain S. Duff",
  title =        "Full matrix techniques in sparse {Gaussian}
                 elimination",
  crossref =     "Watson:1982:NAP",
  pages =        "71--84",
  year =         "1981",
  DOI =          "https://doi.org/10.1007/BFb0093150",
  MRclass =      "65F05",
  MRnumber =     "83f:65038",
  bibdate =      "Wed Jan 17 09:27:24 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1981:MPSa,
  author =       "I. S. Duff",
  title =        "{MA32} --- {A} package for solving sparse unsymmetric
                 systems using the frontal method",
  type =         "Report",
  number =       "AERE R10079",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  month =        "????",
  year =         "1981",
  bibdate =      "Mon Jan 02 10:23:28 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1981:MPSb,
  author =       "Iain S. Duff",
  title =        "{MA32} --- {A} package for solving sparse unsymmetric
                 systems using the frontal method",
  number =       "AERE R11009",
  institution =  pub-HMSO,
  address =      pub-HMSO:adr,
  year =         "1981",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1981:MSU,
  author =       "Iain S. Duff",
  title =        "{ME28} --- {A} Sparse Unsymmetric Linear Equation
                 Solver for Complex Equations",
  journal =      j-TOMS,
  volume =       "7",
  number =       "4",
  pages =        "505--511",
  month =        dec,
  year =         "1981",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/355972.355978",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  keywords =     "sparse matrix, complex sparse linear equations,
                 numerical software, real and complex arithmetic, drop
                 tolerances, ME28",
}

@InProceedings{Duff:1981:SF,
  author =       "Iain S. Duff",
  title =        "A sparse future",
  crossref =     "Duff:1981:SMT",
  pages =        "1--29",
  year =         "1981",
  bibdate =      "Fri Nov 11 17:48:17 MST 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1982:ESM,
  author =       "I. S. Duff and J. K. Reid",
  title =        "Experience of Sparse Matrix Codes on the {Cray-1}",
  journal =      j-COMP-PHYS-COMM,
  volume =       "26",
  number =       "3 \& 4",
  pages =        "293--302",
  month =        jun,
  year =         "1982",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(82)90119-9",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Tue Oct 24 19:50:08 2000",
  bibsource =    "Compendex database;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib",
  abstract =     "Direct methods based on Gaussian elimination are
                 considered for solving sparse sets of linear equations.
                 Among conventional approaches, band and frontal methods
                 are obviously vectorizable and general sparse methods
                 equally do not vectorize easily since they involve
                 indirect addressing in inner loops. These effects are
                 illustrated with actual times from runs on the Cray at
                 Harwell. To avoid indirect addressing code is being
                 developed that uses a ``multi-frontal'' technique. This
                 moves the reals within storage in such a way that all
                 operations are performed on full matrices although the
                 pivotal strategy is minimum degree. How the in-core and
                 out-of-core versions perform on the CRAY-1 is
                 described.",
  acknowledgement = ack-nhfb,
  classification = "722; 723",
  conference =   "Vector and Parallel Process in Comput Sci, Proc of the
                 Int Conf",
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
  journalabr =   "Comput Phys Commun",
  keywords =     "COMPUTER SYSTEMS, DIGITAL; CRAY-1 REACTOR",
  meetingaddress = "Chester, Engl",
  meetingdate =  "Aug 25--28 1981",
  meetingdate2 = "08/25--28/81",
}

@Article{Duff:1982:FMT,
  author =       "Iain S. Duff",
  title =        "Full matrix techniques in sparse {Gaussian}
                 elimination",
  journal =      j-LECT-NOTES-MATH,
  volume =       "912",
  pages =        "71--84",
  year =         "1982",
  CODEN =        "LNMAA2",
  DOI =          "https://doi.org/10.1007/BFb0093150",
  ISBN =         "3-540-11199-9 (print), 3-540-39009-X (e-book)",
  ISBN-13 =      "978-3-540-11199-3 (print), 978-3-540-39009-1
                 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  MRclass =      "65F05",
  MRnumber =     "654344 (83f:65038)",
  MRreviewer =   "A. Olevski{\u\i}",
  bibdate =      "Fri May 9 19:07:38 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
  URL =          "http://link.springer.com/chapter/10.1007/BFb0093150/",
  acknowledgement = ack-nhfb,
  book-DOI =     "https://doi.org/10.1007/BFb0093144",
  book-URL =     "http://www.springerlink.com/content/978-3-540-39009-1",
  fjournal =     "Lecture Notes in Mathematics",
  journal-URL =  "http://link.springer.com/bookseries/304",
}

@TechReport{Duff:1982:MSF,
  author =       "Iain S. Duff and J. K. Reid",
  title =        "{MA27} --- {A} set of {Fortran} subroutines for
                 solving sparse symmetric sets of linear equations",
  number =       "AERE R10533",
  institution =  inst-HARWELL,
  publisher =    pub-HMSO,
  address =      pub-HMSO:adr,
  pages =        "44",
  year =         "1982",
  ISBN =         "0-7058-0985-4",
  ISBN-13 =      "978-0-7058-0985-6",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Duff:1982:SMS,
  author =       "Iain S. Duff",
  title =        "Sparse matrix software for elliptic pde's",
  crossref =     "Trottenberg:1982:MMP",
  pages =        "410--426",
  year =         "1982",
  DOI =          "https://doi.org/10.1007/BFb0069936",
  MRclass =      "65-04 (65F50 65N20)",
  MRnumber =     "685781 (84c:65007)",
  MRreviewer =   "V. Girault",
  bibdate =      "Wed Jan 17 09:22:12 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://link.springer.com/chapter/10.1007/BFb0069936/",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1982:SMT,
  author =       "Iain S. Duff and Roger G. Grimes and John G. Lewis and
                 W. G. {Poole Jr.}",
  title =        "Sparse matrix test problems",
  journal =      j-SIGNUM,
  volume =       "17",
  number =       "2",
  pages =        "22",
  year =         "1982",
  CODEN =        "SNEWD6",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  ISSN-L =       "0163-5778",
  bibdate =      "Fri Nov 11 17:48:17 MST 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM SIGNUM Newsletter",
  journal-URL =  "https://dl.acm.org/loi/signum",
}

@TechReport{Duff:1982:SSLa,
  author =       "Iain S. Duff",
  title =        "The solution of sparse linear equations on vector
                 computers. {Symposium} on {Vector Processors} and
                 {Scientific Computation}",
  type =         "????",
  number =       "????",
  institution =  "Centro Scientifico IBM Roma",
  address =      "Roma, Italy",
  year =         "1982",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1982:SSLb,
  author =       "Iain S. Duff",
  title =        "The Solution of Sparse Linear Equations on the
                 {CRAY-1}",
  journal =      j-CRAY-CHANNELS,
  volume =       "4",
  number =       "3",
  pages =        "4--9",
  year =         "1982",
  CODEN =        "CRCHE8",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "CRAY Channels",
}

@InProceedings{Duff:1982:SSLc,
  author =       "Iain S. Duff",
  title =        "The Solution of Sparse Linear Equations on the
                 {CRAY-1}",
  crossref =     "CRI:1982:SEC",
  pages =        "17--39",
  year =         "1982",
  bibdate =      "Wed Sep 22 10:48:58 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1982:UPA,
  author =       "Iain S. Duff",
  title =        "The use of {POLISH} at {Harwell}",
  type =         "Report",
  number =       "AERE R10555",
  institution =  "Computer Science and Systems Division, Harwell
                 Laboratory",
  address =      inst-HARWELL:adr,
  year =         "1982",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1983:C,
  author =       "I. S. Duff",
  title =        "Correction",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "3",
  number =       "2",
  pages =        "253--253",
  month =        "????",
  year =         "1983",
  CODEN =        "IJNADH",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  bibdate =      "Tue Jun 4 09:26:54 MDT 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "IMA Journal of Numerical Analysis",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
}

@TechReport{Duff:1983:EMP,
  author =       "Iain S. Duff",
  title =        "Enhancements to the {MA32} package for solving sparse
                 unsymmetric equations",
  type =         "Report",
  number =       "AERE R11009",
  institution =  inst-HARWELL,
  publisher =    pub-HMSO,
  address =      pub-HMSO:adr,
  year =         "1983",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1983:ENW,
  author =       "I. S. Duff and J. K. Reid",
  title =        "Errata: {``A note on the work involved in no-fill
                 sparse matrix factorization''}",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "3",
  number =       "2",
  pages =        "253--253",
  year =         "1983",
  CODEN =        "IJNADH",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  MRclass =      "65F50",
  MRnumber =     "85e:65017b",
  bibdate =      "Sat Dec 23 17:06:35 MST 2000",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "IMA Journal of Numerical Analysis",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
}

@InProceedings{Duff:1983:MAS,
  author =       "Iain S. Duff",
  title =        "A multifrontal approach for solving sparse linear
                 equations",
  crossref =     "Pereyra:1983:NMP",
  pages =        "87--98",
  year =         "1983",
  DOI =          "https://doi.org/10.1007/BFb0112526",
  bibdate =      "Fri Nov 11 17:48:17 MST 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://link.springer.com/chapter/10.1007/BFb0112526/",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1983:MSI,
  author =       "Iain S. Duff and J. K. Reid",
  title =        "The multifrontal solution of indefinite sparse
                 symmetric linear systems",
  journal =      j-TOMS,
  volume =       "9",
  pages =        "302--325",
  year =         "1983",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/356044.356047",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
}

@Article{Duff:1983:NWI,
  author =       "Iain S. Duff and J. K. Reid",
  title =        "A note on the work involved in no-fill sparse matrix
                 factorization",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "3",
  pages =        "37--40",
  year =         "1983",
  CODEN =        "IJNADH",
  DOI =          "https://doi.org/10.1093/imanum/3.1.37",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  bibdate =      "Sat Dec 23 14:54:58 2000",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "IMA Journal of Numerical Analysis",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
}

@Article{Duff:1984:BRB,
  author =       "Iain S. Duff",
  title =        "Book Review: {{\booktitle{Computer Solution of Large
                 Sparse Positive Definite Systems}} (Alan George and
                 Joseph W. Liu)}",
  journal =      j-SIAM-REVIEW,
  volume =       "26",
  number =       "2",
  pages =        "289--291",
  month =        "????",
  year =         "1984",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1026055",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:53:46 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/26/2;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.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 =   "April 1984",
}

@InProceedings{Duff:1984:CVF,
  author =       "Iain S. Duff",
  title =        "Comments on the vectorization of a frontal code",
  crossref =     "Engquist:1984:PSM",
  pages =        "343--347",
  year =         "1984",
  bibdate =      "Fri Nov 11 17:48:17 MST 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1984:DFF,
  author =       "Iain S. Duff",
  title =        "Design features of a frontal code for solving sparse
                 unsymmetric linear systems out-of-core",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "5",
  number =       "2",
  pages =        "270--280",
  month =        jun,
  year =         "1984",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0905019",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  MRclass =      "65F50 (65F05)",
  MRnumber =     "85f:65039",
  MRreviewer =   "O. Pokorn{\'a}",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  acknowledgement = ack-nhfb,
  classification = "C6120 (File organisation); C6130 (Data handling
                 techniques)",
  corpsource =   "Computer Sci. and Div., AERE, Harwell, UK",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "codes; CRAY-1; data structures; design features;
                 frontal code; IBM 3033; internal data structures;
                 pivoting strategy; sparse unsymmetric linear systems;
                 user interface",
  onlinedate =   "June 1984",
  treatment =    "P Practical",
}

@Article{Duff:1984:DMS,
  author =       "Iain S. Duff",
  title =        "Direct methods for solving sparse systems of linear
                 equations",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "5",
  pages =        "605--619",
  year =         "1984",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0905043",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  MRclass =      "65F50",
  MRnumber =     "86k:65031",
  MRreviewer =   "Niels Munksgaard",
  bibdate =      "Wed Jan 17 09:21:23 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290H (Linear algebra); C4140 (Linear algebra);
                 C7310 (Mathematics computing)",
  conflocation = "Fairfield Glade, TN, USA; 25-27 Oct. 1982",
  conftitle =    "Sparse Matrix Symposium",
  corpsource =   "Div. of Comput. Sci. and Syst., AERE Harwell, Didcot,
                 UK",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "auxiliary storage; Gaussian elimination; linear
                 algebra; linear equations; main memory; matrix
                 factorization; NAG; orthogonal decompositions;
                 pivoting; positive definite systems; software; sparse
                 systems",
  onlinedate =   "September 1984",
  sponsororg =   "Army Res. Office; Office of Naval Res.; Oak Ridge Nat.
                 Lab",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@Article{Duff:1984:MSU,
  author =       "Iain S. Duff and J. K. Reid",
  title =        "The multifrontal solution of unsymmetric sets of
                 linear equations",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "5",
  number =       "3",
  pages =        "633--641",
  month =        sep,
  year =         "1984",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0905045",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  MRclass =      "65F50",
  MRnumber =     "85h:65093",
  MRreviewer =   "Niels Munksgaard",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  acknowledgement = ack-nhfb,
  classification = "C4140 (Linear algebra)",
  conflocation = "Fairfield Glade, TN, USA; 25-27 Oct. 1982",
  conftitle =    "Sparse Matrix Symposium",
  corpsource =   "Div. of Comput. Sci. and Syst., AERE Harwell, Didcot,
                 UK",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "CRAY-1; frontal solution; Gaussian elimination; IBM
                 3081K; linear algebra; linear equations; multifrontal
                 technique; numerical methods; parallel machine; sparse
                 matrices; unsymmetric equations; vectorization",
  onlinedate =   "September 1984",
  sponsororg =   "Army Res. Office; Office of Naval Res.; Oak Ridge Nat.
                 Lab",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Duff:1984:RDS,
  author =       "Iain S. Duff",
  title =        "Research directions in sparse matrix software",
  journal =      j-MAA-STUD-MATH,
  volume =       "24",
  number =       "????",
  pages =        "83--139",
  year =         "1984",
  CODEN =        "MSTMBI",
  ISSN =         "0081-8208",
  MRclass =      "65F10 (65F50)",
  MRnumber =     "925 212",
  bibdate =      "Wed Jan 17 09:27:29 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "MAA studies in mathematics",
}

@Article{Duff:1984:SE,
  author =       "Iain S. Duff",
  title =        "Supercomputers in {Europe}",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "1",
  number =       "????",
  pages =        "321--324",
  year =         "1984",
  CODEN =        "PACOEJ",
  DOI =          "https://doi.org/10.1016/S0167-8191(84)90277-1",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Parallel Computing",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191",
}

@InProceedings{Duff:1984:SNS,
  author =       "Iain S. Duff",
  title =        "The solution of nearly symmetric sparse linear
                 systems",
  crossref =     "Glowinski:1984:CMA",
  pages =        "57--74",
  year =         "1984",
  bibdate =      "Fri Nov 11 17:48:17 MST 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Duff:1984:SSL,
  author =       "Iain S. Duff",
  title =        "The Solution of Sparse Linear Equations on the
                 {CRAY-1}",
  crossref =     "Kowalik:1984:HSC",
  pages =        "293--309",
  year =         "1984",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  series =       "NATO ASI series. Series F, Computer and Systems
                 Sciences; Vol. 7",
  acknowledgement = ack-nhfb,
}

@InCollection{Duff:1984:SSM,
  author =       "Iain S. Duff",
  title =        "A Survey of Sparse Matrix Software",
  crossref =     "Cowell:1984:SDM",
  pages =        "165--199",
  year =         "1984",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  series =       "Prentice-Hall series in Computational Mathematics",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1984:UAL,
  author =       "Iain S. Duff",
  title =        "The use of advanced large computers in {Europe}",
  type =         "Report",
  number =       "AERE R11432",
  institution =  inst-HARWELL,
  publisher =    pub-HMSO,
  address =      pub-HMSO:adr,
  year =         "1984",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1985:CSIa,
  author =       "Iain S. Duff and C. W. Gear",
  title =        "Computing the structural index",
  type =         "Report",
  number =       "137",
  institution =  "AERE Harwell. Computer Science and Systems Division",
  address =      "Harwell, UK",
  pages =        "13",
  year =         "1985",
  bibdate =      "Sat Nov 18 15:59:56 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Michael James David Powell (29 July 1936--19 April
                 2015)",
}

@TechReport{Duff:1985:CSIb,
  author =       "Iain S. Duff and C. W. Gear",
  title =        "Computing the structural index",
  type =         "Technical memorandum",
  number =       "50",
  institution =  inst-ANL,
  address =      inst-ANL:adr,
  pages =        "13",
  year =         "1985",
  bibdate =      "Sat Nov 18 15:59:56 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Michael James David Powell (29 July 1936--19 April
                 2015)",
}

@Article{Duff:1985:CSS,
  author =       "Iain S. Duff",
  title =        "Comments on the solution of sparse linear equations",
  journal =      "Bulletin of the Brazilian Applied Mathematics
                 Society",
  volume =       "5",
  number =       "3",
  pages =        "21--37",
  year =         "1985",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Duff:1985:DSA,
  author =       "Iain S. Duff",
  title =        "Data structures, algorithms and software for sparse
                 matrices",
  crossref =     "Evans:1985:SA",
  pages =        "1--29",
  year =         "1985",
  MRclass =      "65F50 (68P05)",
  MRnumber =     "86m:65039",
  bibdate =      "Wed Jan 17 09:21:20 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  reviewer =     "Zahari Zlatev",
}

@TechReport{Duff:1985:SRIa,
  author =       "Iain S. Duff and A. M. Erisman and C. W. Gear and J.
                 K. Reid",
  title =        "Some remarks on inverses of sparse matrices",
  number =       "CSS 171",
  institution =  inst-HARWELL,
  address =      inst-HARWELL:adr,
  year =         "1985",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@TechReport{Duff:1985:SRIb,
  author =       "Iain S. Duff and A. M. Erisman and C. William (Charles
                 William) Gear and John Ker Reid",
  title =        "Some remarks on inverses of sparse matrices",
  type =         "Technical memorandum",
  number =       "51",
  institution =  inst-ANL,
  address =      inst-ANL:adr,
  pages =        "11",
  year =         "1985",
  bibdate =      "Sat Nov 18 16:02:29 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
}

@Article{Duff:1985:PIC,
  author =       "I. S. Duff and J. K. Reid",
  title =        "{Proceedings of the 2nd International-Conference on
                 Vector and Parallel Processors in Computational
                 Science, Oxford, 28--31 August 1984} --- Preface",
  journal =      j-COMP-PHYS-COMM,
  volume =       "37",
  number =       "1--3",
  pages =        "R11--R11",
  month =        "????",
  year =         "1985",
  CODEN =        "CPHCBZ",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Tue Jun 4 09:26:54 MDT 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655/",
}

@Article{Duff:1985:SCE,
  author =       "I. S. Duff",
  title =        "Super-Calculators in {Europe}",
  journal =      "TSI --- Technique et science informatiques",
  volume =       "4",
  number =       "5",
  pages =        "479--480",
  month =        "????",
  year =         "1985",
  ISSN =         "0752-4072 (print), 2116-5920 (electronic)",
  bibdate =      "Tue Jun 4 09:26:54 MDT 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1985:USE,
  author =       "Iain S. Duff",
  title =        "The use of supercomputers in {Europe}",
  journal =      j-COMP-PHYS-COMM,
  volume =       "37",
  number =       "1--3",
  pages =        "15--25",
  year =         "1985",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(85)90132-8",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  MRclass =      "65W05",
  MRnumber =     "817 053",
  bibdate =      "Wed Jan 17 09:27:32 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@InCollection{Dongarra:1986:AAC,
  author =       "Jack J. Dongarra and Iain S. Duff",
  editor =       "????",
  booktitle =    "Federal Supercomputer Programs and Policies",
  title =        "Advanced architecture computers",
  publisher =    "US Government Printing Office",
  address =      "Washington, DC, USA",
  pages =        "710--799",
  year =         "1986",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Tue Jan 03 09:16:00 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Dongarra:1986:PVC,
  author =       "J. Dongarra and I. Duff",
  title =        "Performance of Vector Computers for Direct and
                 Indirect Addressing in {Fortran}",
  type =         "Harwell Report",
  institution =  inst-HARWELL,
  address =      inst-HARWELL:adr,
  month =        "??",
  year =         "1986",
  bibdate =      "Tue Feb 26 10:10:44 2002",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Parallel/OVR.bib;
                 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",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1986:CSI,
  author =       "I. S. Duff and C. W. Gear",
  title =        "Computing the structural index",
  journal =      j-SIAM-J-ALG-DISC-METH,
  volume =       "7",
  number =       "4",
  pages =        "594--603",
  year =         "1986",
  CODEN =        "SJAMDU",
  DOI =          "https://doi.org/10.1137/0607066",
  ISSN =         "0196-5212 (print), 2168-345X (electronic)",
  ISSN-L =       "0196-5212",
  MRclass =      "65F30 (15A06)",
  MRnumber =     "87k:65052 (857595)",
  bibdate =      "Sat Apr 11 10:02:33 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjalgdiscmeth.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "SIAM Journal on Algebraic and Discrete Methods",
  journal-URL =  "http://epubs.siam.org/loi/sjamdu",
}

@Book{Duff:1986:DMS,
  author =       "I. S. Duff and A. M. Erisman and J. K. Reid",
  title =        "Direct Methods for Sparse Matrices",
  publisher =    pub-CLARENDON,
  address =      pub-CLARENDON:adr,
  pages =        "xiii + 341",
  year =         "1986",
  ISBN =         "0-19-853408-6 (hardcover), 0-19-853421-3 (paperback)",
  ISBN-13 =      "978-0-19-853408-2 (hardcover), 978-0-19-853421-1
                 (paperback)",
  LCCN =         "QA188 .D841 1986",
  bibdate =      "Tue Dec 14 22:47:43 1993",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib",
  price =        "US\$37.50",
  acknowledgement = ack-nhfb,
  shorttableofcontents = "1: Introduction \\
                 2: Sparse matrices: storage schemes and simple
                 Operations \\
                 3: Gaussian elimination for dense matrices: the
                 algebraic problem \\
                 4: Gaussian elimination for dense matrices: numerical
                 considerations \\
                 5: Gaussian elimination for sparse matrices: an
                 introduction \\
                 6: Reduction to block triangular form \\
                 7: Local pivotal strategies for sparse matrices \\
                 8: Ordering sparse matrices to special forms \\
                 9: Implementing Gaussian elimination: ANALYSE with
                 numerical values \\
                 10: Implementing Gaussian elimination with symbolic
                 ANALYSE \\
                 11: Partitioning, matrix modification, and tearing \\
                 12: Other sparsity-oriented issues \\
                 Appendix A: Matrix and vector norms / 281 \\
                 Appendix B: The LINPACK condition number estimate / 285
                 \\
                 Appendix C: Fortran Conventions / 287 \\
                 Appendix D: Pictures of sparse matrices / 289 \\
                 Solutions to selected exercises / 297 \\
                 References / 313 \\
                 Author index / 327 \\
                 Subject index / 331",
  tableofcontents = "1: Introduction \\
                 1.1 Introduction / 1 \\
                 1.2 Graph theory / 2 \\
                 1.3 Example / 4 \\
                 1.4 Advanced Computer architectures / 9 \\
                 1.5 Problem formulation / 11 \\
                 1.6 A sparse matrix test collection / 14 \\
                 2: Sparse matrices: storage schemes and simple
                 Operations \\
                 2.1 Introduction / 19 \\
                 2.2 Sparse vector storage / 19 \\
                 2.3 Inner product of two packed vectors / 20 \\
                 2.4 Adding packed vectors / 21 \\
                 2.5 Use of full-sized arrays / 22 \\
                 2.6 Coordinate scheme for storing sparse matrices / 23
                 \\
                 2.7 Sparse matrix as a collection of sparse vectors /
                 24 \\
                 2.8 Linked lists / 25 \\
                 2.9 Sparse matrix in row-linked list / 28 \\
                 2.10 Generating collections of sparse vectors / 30 \\
                 2.11 Access by rows and columns / 31 \\
                 2.12 Matrix by vector products / 32 \\
                 2.13 Matrix by matrix products / 33 \\
                 2.14 Permutation matrices / 34 \\
                 2.15 Clique (or finite-element) storage / 36 \\
                 2.16 Comparisons between sparse matrix structures / 37
                 \\
                 3: Gaussian elimination for dense matrices: the
                 algebraic problem \\
                 3.1 Introduction / 41 \\
                 3.2 Solution of triangular Systems / 41 \\
                 3.3 Gaussian elimination / 43 \\
                 3.4 Required row interchanges / 45 \\
                 3.5 Relationship with $L U$ factorization / 46 \\
                 3.6 Equivalent factorization methods, including
                 Doolittle and Crout / 49 \\
                 3.7 Computational sequences / 51 \\
                 3.8 Symmetric matrices / 53 \\
                 3.9 Gauss--Jordan elimination / 55 \\
                 3.10 Multiple right-hand sides and inverses / 56 \\
                 3.11 Computational cost / 57 \\
                 3.12 Block factorization / 59 \\
                 4: Gaussian elimination for dense matrices: numerical
                 considerations \\
                 4.1 Introduction / 65 \\
                 4.2 Computer arithmetic error / 66 \\
                 4.3 Algorithm instability / 67 \\
                 4.4 Controlling algorithm stability / 69 \\
                 4.5 Monitoring the stability / 72 \\
                 4.6 Special stability considerations / 76 \\
                 4.7 Solving indefinite symmetric systems / 77 \\
                 4.8 Ill-conditioning: introduction / 78 \\
                 4.9 Ill-conditioning: theoretical discussion / 79 \\
                 4.10 Ill-conditioning: automatic detection / 81 \\
                 4.11 Iterative refinement / 85 \\
                 4.12 Scaling / 86 \\
                 4.13 Prevention of ill-conditioning / 88 \\
                 4.14 Overall error bound / 89 \\
                 5: Gaussian elimination for sparse matrices: an
                 introduction \\
                 5.1 Introduction / 93 \\
                 5.2 Features of a sparse matrix code / 94 \\
                 5.3 Orderings / 96 \\
                 5.4 Numerical stability in sparse computation / 98 \\
                 5.5 Estimating condition numbers in sparse computation
                 / 100 \\
                 5.6 The ANALYSE phase / 101 \\
                 5.7 The FACTORIZE and SOLVE phases / 102 \\
                 5.8 Writing compared with using sparse matrix Software
                 / 103 \\
                 6: Reduction to block triangular form \\
                 6.1 Introduction / 105 \\
                 6.2 Background for finding a transversal / 107 \\
                 6.3 A depth-first search algorithm for transversal
                 extension / 109 \\
                 6.4 Analysis of the depth-first search transversal
                 algorithm / 111 \\
                 6.5 Implementation of the transversal algorithm / 112
                 \\
                 6.6 Symmetric permutations to block triangular form /
                 113 \\
                 6.7 The algorithm of Sargent and Westerberg / 114 \\
                 6.8 Tarjan's algorithm / 117 \\
                 6.9 Implementation of Tarjan's algorithm / 120 \\
                 6.10 Essential uniqueness of the block triangular form
                 / 121 \\
                 6.11 Experience with block triangular forms / 122 \\
                 6.12 Maximum transversals / 124 \\
                 7: Local pivotal strategies for sparse matrices \\
                 7.1 Introduction / 127 \\
                 7.2 The Markowitz criterion / 128 \\
                 7.3 Minimum degree (Tinney scheme 2) / 129 \\
                 7.4 Simpler strategies / 130 \\
                 7.5 Local minimum fill-in / 133 \\
                 7.6 Other local strategies / 135 \\
                 7.7 The effect of tie-breaking on the minimum degree
                 algorithm / 136 \\
                 7.8 Numerical pivoting / 139 \\
                 7.9 Sparsity in the right-hand side and partial
                 Solution / 140 \\
                 7.10 Variability-type ordering / 143 \\
                 7.11 The Symmetric indefinite case / 145 \\
                 7.12 Solution methods based on orthogonalization / 145
                 \\
                 8: Ordering sparse matrices to special forms \\
                 8.1 Introduction / 149 \\
                 8.2 Desirable forms / 149 \\
                 8.3 Band and variable-band matrices / 151 \\
                 8.4 Ordering for small bandwidth / 153 \\
                 8.5 Refined quotient trees / 157 \\
                 8.6 One-way dissection / 161 \\
                 8.7 Nested dissection / 163 \\
                 8.8 The Boeing version of the Hellerman--Rarick
                 algorithm / 168 \\
                 8.9 The Hellerman--Rarick ordering / 172 \\
                 9: Implementing Gaussian elimination: ANALYSE with
                 numerical values \\
                 9.1 Introduction / 177 \\
                 9.2 Markowitz ANALYSE / 178 \\
                 9.3 FACTORIZE / 183 \\
                 9.4 SOLVE / 186 \\
                 9.5 Switching to full form / 188 \\
                 9.6 Loop-free code / 191 \\
                 9.7 Interpretative code / 192 \\
                 9.8 A posteriori ordering for stability / 193 \\
                 9.9 The use of drop tolerances to preserve sparsity /
                 195 \\
                 10: Implementing Gaussian elimination with symbolic
                 ANALYSE 10.1 Introduction / 199 \\
                 10.2 Band methods / 200 \\
                 10.3 Variable-band (profile) methods / 204 \\
                 10.4 Special methods for banded Systems / 205 \\
                 10.5 Frontal methods for finite-element problems / 210
                 \\
                 10.6 Frontal methods for non-element problems / 216 \\
                 10.7 Multifrontal (substructuring) methods for
                 finite-element problems / 218 \\
                 10.8 Multifrontal methods for non-element problems /
                 222 \\
                 10.9 Minimum degree ordering / 226 \\
                 10.10 Generating static data structures for FACTORIZE /
                 229 \\
                 10.11 Numerical FACTORIZE and SOLVE using static data
                 structures / 232 \\
                 10.12 Accommodating numerical pivoting within static
                 data structures / 233 \\
                 10.13 Nested dissection, refined quotient tree, and
                 one-way dissection / 234 \\
                 10.14 Effects of Computer architecture / 234 \\
                 11: Partitioning, matrix modification, and tearing \\
                 11.1 Introduction / 239 \\
                 11.2 Exploiting the partitioned form / 240 \\
                 11.3 Using partitioning to handle low-rank
                 perturbations / 242 \\
                 11.4 The matrix modification formula / 243 \\
                 11.5 Low-rank modifications / 244 \\
                 11.6 Use of the modification formula to solve equations
                 / 245 \\
                 11.7 Perturbations that are full-rank submatrices / 247
                 \\
                 11.8 The equivalence of modification and partitioning /
                 249 \\
                 11.9 Modifications that change the matrix Order / 250
                 \\
                 11.10 Artificial perturbations / 251 \\
                 11.11 Branch tearing / 252 \\
                 11.12 Node tearing / 254 \\
                 11.13 Implementation of node and branch tearing / 255
                 \\
                 11.14 Manual choice of partitions and tear sets / 255
                 \\
                 11.15 Automatic choice of partitions and tear sets /
                 257 \\
                 11.16 Nonlinear tearing / 259 \\
                 11.17 Conclusions / 260 \\
                 12: Other sparsity-oriented issues \\
                 12.1 Introduction / 265 \\
                 12.2 Sparsity in nonlinear computations / 266 \\
                 12.3 Estimating a sparse Jacobian matrix / 267 \\
                 12.4 Updating a sparse Hessian matrix / 269 \\
                 12.5 Approximating a sparse matrix by a
                 positive-definite one / 270 \\
                 12.6 The inverse of a sparse matrix / 271 \\
                 12.7 Computing entries of the inverse of a sparse
                 matrix / 273 \\
                 12.8 Sparsity constrained backward error analysis / 275
                 \\
                 12.9 Assembling large finite-element matrices to band
                 form / 277 \\
                 12.10 Hypermatrices / 278 \\
                 Appendix A: Matrix and vector norms / 281 \\
                 Appendix B: The LINPACK condition number estimate / 285
                 \\
                 Appendix C: Fortran Conventions / 287 \\
                 Appendix D: Pictures of sparse matrices / 289 \\
                 Solutions to selected exercises / 297 \\
                 References / 313 \\
                 Author index / 327 \\
                 Subject index / 331",
}

@TechReport{Duff:1986:EOP,
  author =       "I. Duff and L. Johnsson",
  title =        "The Effect of Orderings on the Parallelization of
                 Sparse Code",
  type =         "Technical Memorandum",
  number =       "????",
  institution =  "Mathematics and Computer Science Division, Argonne
                 National Laboratory",
  address =      "Argonne, IL, USA",
  year =         "1986",
  bibdate =      "Wed Sep 22 10:55:42 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1986:IVP,
  author =       "I. Duff",
  title =        "The Influence of Vector and Parallel Processors on
                 Numerical Analysis",
  number =       "AERE-R 12329",
  institution =  "Computer Science and Systems Division, Harwell
                 Laboratory",
  address =      "Chilton, Oxon, England",
  year =         "1986",
  bibdate =      "Wed Sep 22 10:52:21 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1986:PIM,
  author =       "Iain S. Duff",
  title =        "Parallel Implementation of Multifrontal Schemes",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "3",
  pages =        "193--204",
  year =         "1986",
  CODEN =        "PACOEJ",
  DOI =          "https://doi.org/10.1016/0167-8191(86)90019-0",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  MRclass =      "65W05",
  MRnumber =     "864 042",
  bibdate =      "Wed Jan 17 09:26:50 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Parallel Computing",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191",
}

@InProceedings{Duff:1986:PSS,
  author =       "Iain S. Duff",
  title =        "The Parallel Solution of Sparse Linear Equations",
  crossref =     "Handler:1986:CCA",
  pages =        "18--24",
  year =         "1986",
  bibdate =      "Mon Sep 9 14:58:34 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  abstract =     "Discusses the solution of large sparse systems using
                 Gaussian elimination on both local and shared memory
                 parallel computers. There is a natural parallelism to
                 Gaussian elimination that has been frequently
                 exploited. The author takes advantage of this
                 parallelism in addition to that provided by the
                 sparsity itself. He discusses this latter parallelism
                 in some detail. An approach that exploits the
                 parallelism due to the sparsity and that can
                 automatically benefit also from the parallelism of
                 Gaussian elimination is discussed. This approach, which
                 is applicable to quite general systems, is based on a
                 multifrontal technique. The author looks at the
                 implementation of the multifrontal approach on shared
                 memory machines and discusses its implementation on a
                 hypercube.",
  acknowledgement = ack-nhfb,
  affiliation =  "Comput. Sci. and Syst. Div., AERE, Harwell, UK",
  classification = "B0290H (Linear algebra); C4140 (Linear algebra);
                 C5440 (Multiprocessor systems and techniques)",
  keywords =     "Gaussian elimination; Hypercube; Large sparse systems;
                 Multifrontal approach; Shared memory machines; Shared
                 memory parallel computers; Sparse linear equations;
                 Sparsity",
  thesaurus =    "Linear algebra; Linear systems; Parallel algorithms;
                 Parallel machines",
}

@TechReport{Duff:1986:TSC,
  author =       "Iain S. Duff and Chris R. Kirby",
  title =        "Trends in scientific computer programs following the
                 introduction of advanced large computers",
  type =         "Report",
  number =       "AERE R11948",
  institution =  inst-HARWELL,
  publisher =    pub-HMSO,
  address =      pub-HMSO:adr,
  year =         "1986",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1986:UVPa,
  author =       "I. Duff",
  title =        "Use of Vector and Parallel Computers in the Solution
                 of Large Sparse Linear Equations",
  type =         "Technical report",
  number =       "ANL/MCS-TM-84",
  institution =  inst-ANL,
  address =      inst-ANL:adr,
  year =         "1986",
  bibdate =      "Wed Sep 22 10:53:42 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1986:UVPb,
  author =       "I. Duff",
  title =        "Use of Vector and Parallel Computers in the Solution
                 of Large Sparse Linear Equations",
  type =         "Technical report",
  number =       "AERE-R 12393",
  institution =  "Computer Science and Systems Division, Harwell
                 Laboratory",
  address =      "Chilton, Oxon, England",
  year =         "1986",
  bibdate =      "Wed Sep 22 10:53:42 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Chatelin:1987:SVM,
  author =       "F. Chatelin and J. Dongarra and I. Duff",
  title =        "Special Volume in Memory of {James H. Wilkinson}",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "88/89",
  pages =        "??--??",
  year =         "1987",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Mon Jan 02 09:49:28 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Dave:1987:SMC,
  author =       "Ameet K. Dave and Iain S. Duff",
  title =        "Sparse Matrix Calculations on the {CRAY-2}",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "5",
  pages =        "55--64",
  year =         "1987",
  CODEN =        "PACOEJ",
  DOI =          "https://doi.org/10.1016/0167-8191(87)90006-8",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  MRclass =      "898 035",
  MRnumber =     "65F50 (65W05)",
  bibdate =      "Wed Jan 17 09:26:31 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Parallel Computing",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191",
}

@TechReport{Dongarra:1987:AAC,
  author =       "J. Dongarra and I. Duff",
  title =        "Advanced Architecture Computers",
  type =         "Technical Report",
  number =       "ANL-MCS-TM-57 (Revision 1)",
  institution =  inst-ANL,
  address =      inst-ANL:adr,
  month =        oct,
  year =         "1987",
  bibdate =      "Tue Feb 26 10:10:44 2002",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Parallel/ovr.bib;
                 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",
  acknowledgement = ack-nhfb,
}

@Article{Dongarra:1987:PSLa,
  author =       "Jack Dongarra and Jeremy Du Croz and Iain Duff and
                 Sven Hammarling",
  title =        "A proposal for a set of level 3 basic linear algebra
                 subprograms",
  journal =      j-SIGNUM,
  volume =       "22",
  number =       "3",
  pages =        "2--14",
  month =        jul,
  year =         "1987",
  CODEN =        "SNEWD6",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  ISSN-L =       "0163-5778",
  bibdate =      "Tue Apr 12 07:50:15 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM SIGNUM Newsletter",
  journal-URL =  "https://dl.acm.org/loi/signum",
  keywords =     "algorithms; theory",
  subject =      "F.2.1 Theory of Computation, ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY, Numerical Algorithms and
                 Problems, Computations on matrices \\ G.2.m Mathematics
                 of Computing, DISCRETE MATHEMATICS, Miscellaneous",
}

@InProceedings{Duff:1987:ANT,
  author =       "Iain S. Duff",
  title =        "Algorithms and numerical techniques",
  crossref =     "Kenway:1987:CPP",
  pages =        "379--428",
  year =         "1987",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1987:EAP,
  author =       "Iain S. Duff and Jacques Laminie and Alain Lichnewsky
                 and Fran{\c{c}}ois Thomasset",
  title =        "An experiment with arithmetic precision in linear
                 algebra computations",
  journal =      j-INT-J-NUM-METH-FLUIDS,
  volume =       "7",
  number =       "10",
  pages =        "1077--1092",
  month =        oct,
  year =         "1987",
  CODEN =        "IJNFDW",
  DOI =          "https://doi.org/10.1002/fld.1650071006",
  ISSN =         "0271-2091 (print), 1097-0363 (electronic)",
  ISSN-L =       "0271-2091",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Int. J. Num. Meth. Fluids",
  fjournal =     "International Journal for Numerical Methods in
                 Fluids",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0363",
}

@InProceedings{Duff:1987:IPN,
  author =       "Iain S. Duff",
  title =        "The impact of parallelism on numerical methods",
  crossref =     "Jesshope:1987:MAP",
  pages =        "255--263",
  year =         "1987",
  bibdate =      "Fri Nov 11 17:48:17 MST 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Duff:1987:IVP,
  author =       "Iain S. Duff",
  title =        "The influence of vector and parallel computers in the
                 solution of large sparse linear equations",
  crossref =     "Iserles:1987:SAN",
  pages =        "359--407",
  year =         "1987",
  MRclass =      "65W05",
  MRnumber =     "88j:65311",
  bibdate =      "Mon Sep 09 14:59:35 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  abstract =     "It is now ten years since the first CRAY-1 was
                 delivered to Los Alamos National Laboratory. Since
                 then, supercomputers with vector processing capability
                 have become widespread and important in the solution of
                 problems in many areas of science and engineering
                 involving large-scale computing. Their influence on
                 numerical analysis has been less dramatic but the paper
                 indicates the extent of that influence. In the last
                 year or so, advanced superminis that exhibit various
                 more general forms of parallelism have been developed
                 and marketed. The paper identifies these and gives some
                 general principles which algorithm designers are using
                 to take advantage of these parallel architectures. It
                 argues that parallel processors are having a much
                 stronger influence on numerical analysis than vector
                 processors and illustrates these claims with examples
                 from several areas of numerical analysis including
                 linear algebra, optimization, and the solution of
                 partial differential equations.",
  acknowledgement = ack-nhfb,
  affiliation =  "Div. of Comput. Sci. and Syst., Harwell Lab., Didcot,
                 UK",
  classification = "C4100 (Numerical analysis)",
  keywords =     "Advanced superminis; Linear algebra; Numerical
                 analysis; Optimization; Parallel architectures;
                 Parallel processors; Parallelism; Partial differential
                 equations; Supercomputers; Vector processing; Vector
                 processors",
  thesaurus =    "Numerical analysis; Parallel processing",
}

@TechReport{Duff:1987:MMP,
  author =       "I. Duff and N. Gould and M. Lescrenier and J. Reid",
  title =        "The Multifrontal Method in a Parallel Environment",
  number =       "{CSS-211}",
  institution =  inst-HARWELL,
  address =      inst-HARWELL:adr,
  year =         "1987",
  bibdate =      "Wed Sep 22 10:34:32 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1987:MSM,
  author =       "Iain S. Duff",
  title =        "Multiprocessing a Sparse Matrix Code on the {Alliant
                 FX/8}",
  type =         "Technical Report",
  number =       "{CSS-210}",
  institution =  inst-HARWELL,
  address =      inst-HARWELL:adr,
  pages =        "????",
  year =         "1987",
  bibdate =      "Sat Dec 31 14:00:40 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  note =         "Published in \cite{Duff:1989:MSM}.",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1987:PUH,
  author =       "I. S. Duff and M. Anoli and N. I. M. Gould and J. K.
                 Reid",
  title =        "The Practical Use of the {Hellerman--Ranck} {$ P^4 $}
                 Algorithm and the {$ P^5 $} Algorithm of {Erisman et
                 al.}",
  type =         "Report",
  number =       "CSS213",
  institution =  inst-HARWELL,
  address =      inst-HARWELL:adr,
  year =         "1987",
  bibdate =      "Wed Sep 22 10:32:27 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1987:SE,
  author =       "Iain S. Duff",
  title =        "Supercomputing in {Europe} --- 1987",
  type =         "Report",
  number =       "CSS 206",
  institution =  inst-HARWELL,
  address =      inst-HARWELL:adr,
  pages =        "8",
  year =         "1987",
  bibdate =      "Tue Jan 03 05:46:21 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1987:SSS,
  author =       "Iain S. Duff and Ulrich Nowak",
  title =        "On sparse solvers in a stiff integrator of
                 extrapolation type",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "7",
  number =       "4",
  pages =        "391--405",
  year =         "1987",
  CODEN =        "IJNADH",
  DOI =          "https://doi.org/10.1093/imanum/7.4.391",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  MRclass =      "65L05 (65F50 65V05)",
  MRnumber =     "90d:65137",
  bibdate =      "Sat Dec 23 14:54:59 2000",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "IMA Journal of Numerical Analysis",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
  reviewer =     "W. C. Rheinboldt",
}

@Article{Duff:1987:ULP,
  author =       "Iain S. Duff and Jorge Nocedal and John K. Reid",
  title =        "The use of linear programming for the solution of
                 sparse sets of nonlinear equations",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "8",
  number =       "2",
  pages =        "99--108",
  month =        mar,
  year =         "1987",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0908024",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  MRclass =      "65H10 (90C30)",
  MRnumber =     "88b:65065",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  acknowledgement = ack-nhfb,
  classification = "C1180 (Optimisation techniques); C4140 (Linear
                 algebra); C4150 (Nonlinear and functional equations)",
  corpsource =   "Div. of Comput. Sci. and Syst., AERE, Harwell, UK",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "l/sub 1/-norm minimisation; l/sub infinity /-norm
                 trust region; Levenberg--Marquardt algorithm; linear
                 programming; linearized residual vector; matrix
                 algebra; nonlinear equations; sparse sets of nonlinear
                 equations; sparsity",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Duff:1987:UVP,
  author =       "Iain S. Duff",
  title =        "The use of vector and parallel computers in the
                 solution of large sparse linear equations",
  crossref =     "Deuflhard:1987:LSS",
  pages =        "331--348",
  year =         "1987",
  MRclass =      "65W05 (65F50)",
  MRnumber =     "88g:65142",
  bibdate =      "Wed Jan 17 09:27:35 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Golub:1987:D,
  author =       "Gene H. Golub and Iain Duff and Cleve Moler",
  title =        "Dedication",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "88/89",
  pages =        "1--12",
  year =         "1987",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "01A70",
  MRnumber =     "88e:01060",
  bibdate =      "Thu Jan 23 11:18:08 MST 1997",
  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",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Golub:1987:JW,
  author =       "Gene H. Golub and Miki Neumann and James W. Demmel and
                 Paul Saylor and James M. Boyle and Iain Duff and Jack
                 Dongarra",
  title =        "{James Wilkinson} (1919--1986)",
  journal =      j-ANN-HIST-COMPUT,
  volume =       "9",
  number =       "2",
  pages =        "205--210",
  month =        apr # "\slash " # jun,
  year =         "1987",
  CODEN =        "AHCOE5",
  ISSN =         "0164-1239",
  bibdate =      "Sat Jul 14 18:11:40 2001",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Math/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  note =         "From the introduction: ``A series of lightly edited
                 extracts from messages that were sent over various
                 computer networks during the period October 5,
                 1986--February 13, 1987''.",
  acknowledgement = ack-nhfb,
  fjournal =     "Annals of the History of Computing",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5488650",
  keywords =     "obituary",
}

@TechReport{Arioli:1988:SSL,
  author =       "M. Arioli and J. W. Demmel and I. S. Duff",
  title =        "Solving Sparse Linear Systems with Sparse Backward
                 Error",
  type =         "Technical report",
  number =       "CSS 214",
  institution =  "Computer Science and Systems Division, AERE Harwell",
  address =      "Didcot, UK",
  year =         "1988",
  bibdate =      "Wed Sep 22 10:58:10 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Dayde:1988:ULB,
  author =       "M. J. Dayde and I. S. Duff",
  title =        "Use of Level-3 {BLAS} in {LU} Factorization on the
                 {Cray-2}, the {ETA-10P}, and the {IBM 3090-200/VF}",
  number =       "CSS-229",
  institution =  "Computer Science and Systems Division, Harwell
                 Laboratory",
  address =      "Oxon OX11 ORA, UK",
  year =         "1988",
  bibdate =      "Wed Sep 22 10:58:55 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Dongarra:1988:SLB,
  author =       "J. J. Dongarra and J. Du Croz and I. S. Duff and S.
                 Hammarling",
  title =        "A Set of Level 3 {Basic Linear Algebra Subprograms}",
  type =         "??",
  number =       "ANL-MCS-TM-88",
  institution =  inst-ANL,
  address =      inst-ANL:adr,
  month =        "??",
  year =         "1988",
  bibdate =      "Tue Feb 26 10:10:44 2002",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Theory/gvl.bib;
                 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",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1988:CSS,
  author =       "Iain S. Duff",
  title =        "Comments on the solution of sparse linear equations",
  journal =      "NAG Newsletter: Numerical Algorithms Group Limited,
                 Oxford",
  volume =       "2",
  number =       "????",
  pages =        "3--16",
  year =         "1988",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Duff:1988:EHS,
  author =       "Iain S. Duff",
  editor =       "K. Winget",
  booktitle =    "CRAY User Group 1988 Spring Proceedings",
  title =        "Experience with the {Harwell Subroutine Library} on
                 the {CRAY-2}",
  publisher =    "Cray User Group, Inc",
  address =      "186 Mandela Road, Shepherdstown, WV 25443, USA",
  pages =        "338--341",
  year =         "1988",
  LCCN =         "QA76.8.C7 C74a",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1988:NAG,
  author =       "Iain S. Duff",
  title =        "{Numerical Analysis Group. Progress Report. January
                 1986--December 1987}",
  type =         "Report",
  institution =  inst-HARWELL,
  publisher =    pub-HMSO,
  address =      pub-HMSO:adr,
  year =         "1988",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  series =       "AERE R13068",
  acknowledgement = ack-nhfb,
}

@InProceedings{Duff:1988:PSM,
  author =       "Iain S. Duff",
  title =        "Parallelism in sparse matrices",
  crossref =     "Paul:1988:PSC",
  pages =        "99--106",
  year =         "1988",
  bibdate =      "Fri Nov 11 17:48:17 MST 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1988:RIA,
  author =       "Iain S. Duff and Torbj{\"o}rn Wiberg",
  title =        "Remarks on Implementation of {$ O(n^{1 / 2} \tau) $}
                 Assignment Algorithms",
  journal =      j-TOMS,
  volume =       "14",
  number =       "3",
  pages =        "267--287",
  month =        sep,
  year =         "1988",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/44128.44131",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65-04 (65F50)",
  MRnumber =     "062 478",
  bibdate =      "Wed Jan 17 09:25:17 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  abstract =     "The authors examine an implementation and a number of
                 modifications of a 1973 algorithm of Hopcroft and Karp
                 for permuting a sparse matrix so that there are no
                 zeros on the diagonal. They describe their
                 implementation of the original Hopcroft and Karp
                 algorithm and compare this with modifications which
                 they prove to have the same O(n/sup 1/2/ tau )
                 behavior, where the matrix is of order n with tau
                 entries. They compare the best of these with an
                 efficient implementation of an algorithm whose
                 worst-case behavior is O(n tau ).",
  acknowledgement = ack-nhfb,
  affiliation =  "Harwell Lab., Didcot, UK",
  classification = "C4140 (Linear algebra); C4240 (Programming and
                 algorithm theory); C7310 (Mathematics)",
  fjournal =     "ACM Transactions on Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  keywords =     "algorithms; Computational complexity; Linear algebra;
                 Mathematics computing; Permutation; Sparse matrix;
                 theory",
  pubcountry =   "USA",
  review =       "ACM CR 8904-0244",
  subject =      "G.1.3 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Numerical Linear Algebra, Sparse and very large systems
                 \\ G.2.2 Mathematics of Computing, DISCRETE
                 MATHEMATICS, Graph Theory, Graph algorithms \\ G.4
                 Mathematics of Computing, MATHEMATICAL SOFTWARE,
                 Algorithm analysis",
  thesaurus =    "Computational complexity; Mathematics computing;
                 Matrix algebra",
}

@InProceedings{Duff:1988:SE,
  author =       "Iain S. Duff",
  title =        "Supercomputing in {Europe} --- 1987",
  crossref =     "Houstis:1988:SIC",
  pages =        "1031--1041",
  year =         "1988",
  bibdate =      "Fri Nov 11 17:48:17 MST 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  abstract =     "In recent years there has been a large increase in the
                 number of supercomputers in Europe. The author examines
                 their distribution both by country and by manufacturer
                 and also by the major application of the supercomputer
                 sites. He discusses reasons for their acquisition and
                 the main advantages of supercomputing as perceived by
                 the installations themselves. Throughout, he compares
                 his findings with a survey which was conducted in 1984
                 and highlights the major differences in the European
                 supercomputing scene since that time.",
  acknowledgement = ack-nhfb,
  affiliation =  "Div. of Comput. Sci. and Syst., Harwell Lab., Didcot,
                 UK",
  classification = "C5440 (Multiprocessor systems and techniques)",
  keywords =     "Supercomputers",
  thesaurus =    "Parallel processing",
}

@Article{Duff:1988:SSG,
  author =       "Iain S. Duff and A. M. Erisman and C. W. Gear and J.
                 K. Reid",
  title =        "Sparsity Structure and {Gaussian} Elimination",
  journal =      j-SIGNUM,
  volume =       "23",
  number =       "2",
  pages =        "2--8",
  month =        apr,
  year =         "1988",
  CODEN =        "SNEWD6",
  DOI =          "https://doi.org/10.1145/47917.47918",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  ISSN-L =       "0163-5778",
  bibdate =      "Fri Nov 11 17:48:17 MST 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-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",
  URL =          "https://dl.acm.org/doi/10.1145/47917.47918",
  abstract =     "In this paper we collate and discuss some results on
                 the sparsity structure of a matrix. If a matrix is
                 irreducible, Gaussian elimination yields an $ L U $
                 factorization in which $L$ has at least one entry
                 beneath the diagonal in every column except the last
                 and $U$ has at least one entry to the right of the
                 diagonal in every row except the last. If this
                 factorization is used to solve the equation $ A x = b
                 $, the intermediate vector has an entry in its last
                 component and the solution $x$ is full. Furthermore,
                 the inverse of $A$ is full. Where the matrix is
                 reducible, these results are applicable to the diagonal
                 blocks of its block triangular form.",
  acknowledgement = ack-nhfb,
  author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
                 March 2022)",
  fjournal =     "ACM SIGNUM Newsletter",
  journal-URL =  "https://dl.acm.org/loi/signum",
  keywords =     "theory; verification",
  subject =      "F.2.1 Theory of Computation, ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY, Numerical Algorithms and
                 Problems, Computations on matrices",
}

@InProceedings{Amestoy:1989:EUP,
  author =       "P. R. Amestoy and M. Dayd{\'e} and I. S. Duff",
  title =        "Efficient use of parallel matrix-matrix kernels in
                 linear algebra on the {Alliant FX/80}, the {CRAY-2},
                 the {ETA-10P}, and the {IBM 3090}",
  crossref =     "Anonymous:1989:SPC",
  pages =        "149--153",
  year =         "1989",
  bibdate =      "Mon Jan 02 08:49:50 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Amestoy:1989:UCK,
  author =       "P. R. Amestoy and M. Dayd{\'e} and Iain S. Duff",
  title =        "Use of computational kernels in the solution of full
                 and sparse linear equations",
  crossref =     "Cosnard:1989:PDA",
  pages =        "13--19",
  year =         "1989",
  bibdate =      "Wed Mar 15 17:29:41 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Amestoy:1989:ULBa,
  author =       "P. R. Amestoy and M. J. Dayd{\'e} and I. S. Duff",
  title =        "Use of {Level 3 BLAS} kernels in the solution of full
                 and sparse linear equations",
  type =         "Technical report",
  number =       "TR 89/9",
  institution =  inst-CERFACS,
  address =      inst-CERFACS:adr,
  pages =        "????",
  month =        mar,
  year =         "1989",
  bibdate =      "Wed Sep 22 11:00:59 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Amestoy:1989:ULBb,
  author =       "P. R. Amestoy and M. Dayd{\'e} and Iain S. Duff",
  title =        "Use of {Level 3 BLAS} in the solution of full and
                 sparse linear equations",
  crossref =     "Delhaye:1989:HPC",
  pages =        "19--31",
  year =         "1989",
  bibdate =      "Fri Nov 11 17:48:17 MST 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Amestoy:1989:VMM,
  author =       "Patrick R. Amestoy and Iain S. Duff",
  title =        "Vectorization of a Multiprocessor Multifrontal Code",
  journal =      j-IJSA,
  volume =       "3",
  number =       "3",
  pages =        "41--59",
  month =        sep,
  year =         "1989",
  CODEN =        "IJSAE9",
  DOI =          "https://doi.org/10.1177/109434208900300303",
  ISSN =         "0890-2720",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/ijsa.bib",
  URL =          "http://journals.sagepub.com/doi/pdf/10.1177/109434208900300303",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal of Supercomputer Applications",
  journal-URL =  "http://hpc.sagepub.com/content/by/year",
}

@Article{Arioli:1989:ASA,
  author =       "Mario Arioli and Iain S. Duff and Peter P. M. {de
                 Rijk}",
  title =        "On the Augmented System Approach to Sparse
                 Least-Squares Problems",
  journal =      j-NUM-MATH,
  volume =       "55",
  number =       "6",
  pages =        "667--684",
  month =        aug,
  year =         "1989",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/BF01389335",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65F20",
  MRnumber =     "90g:65048",
  MRreviewer =   "Frank Natterer",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 Parallel/par.lin.alg.bib; Theory/Matrix.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290B (Error analysis in numerical methods); B0290F
                 (Interpolation and function approximation); C4110
                 (Error analysis in numerical methods); C4130
                 (Interpolation and function approximation)",
  corpsource =   "Div. of Comput. Sci. and Syst., Harwell Lab., Didcot,
                 UK",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "augmented system approach; Bjorck scaling; error
                 analysis; error bounds; least squares approximations;
                 lsq; nla; numerical properties; pert; sparse; sparse
                 least-squares problems",
  mynote =       "Harwell CS223, Oct 88",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Arioli:1989:SSL,
  author =       "Mario Arioli and James W. Demmel and Iain S. Duff",
  title =        "Solving sparse linear systems with sparse backward
                 error",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "10",
  number =       "2",
  pages =        "165--190",
  year =         "1989",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/0610013",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F50 (65G05)",
  MRnumber =     "90d:65083",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
  keywords =     "Block Cimmino; conjugate gradients; multifrontal",
}

@Article{Dayde:1989:LBL,
  author =       "Michel J. Dayd{\'e} and Iain S. Duff",
  title =        "{Level 3 BLAS} in {LU} Factorization on the {CRAY-2},
                 {ETA-10P}, and {IBM 3090-200\slash VF}",
  journal =      j-IJSA,
  volume =       "3",
  number =       "2",
  pages =        "40--70",
  month =        "Summer",
  year =         "1989",
  CODEN =        "IJSAE9",
  DOI =          "https://doi.org/10.1177/109434208900300204",
  ISSN =         "0890-2720",
  bibdate =      "Thu Aug 22 17:56:36 MDT 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal of Supercomputer Applications",
  journal-URL =  "http://hpc.sagepub.com/content/by/year",
  xxtitle =      "Use of {Level 3 BLAS} in $\bf {LU}$ factorization on
                 the {CRAY-2}, the {ETA 10-P}, and the {IBM 3090 VF}",
}

@InProceedings{Dongarra:1989:PSL,
  author =       "Jack J. Dongarra and Jeremy {Du Croz} and Iain S. Duff
                 and Sven Hammarling",
  title =        "A proposal for a set of {Level 3 Basic Linear Algebra
                 Subprograms}",
  crossref =     "Rodrigue:1989:PPS",
  pages =        "40--44",
  year =         "1989",
  bibdate =      "Fri Nov 11 17:48:17 MST 1994",
  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",
  acknowledgement = ack-nhfb,
}

@Article{Dongarra:1989:UNL,
  author =       "Jack Dongarra and Iain Duff and Jeremy Du Croz and
                 Sven Hammarling",
  title =        "An update notice on the level 3 {BLAS}",
  journal =      j-SIGNUM,
  volume =       "24",
  number =       "1",
  pages =        "9--10",
  month =        jan,
  year =         "1989",
  CODEN =        "SNEWD6",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  ISSN-L =       "0163-5778",
  bibdate =      "Mon Apr 25 14:38:06 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  abstract =     "In April 1987 we published a proposal for a set of
                 Level 3 BLAS (Argonne National Laboratory ANL-MCS-TM
                 88, May 1988). Since then the proposal has been
                 presented and discussed at various meetings, comments
                 have been received, and experience gained in using the
                 Level 3 BLAS to code block-structured algorithms in
                 linear algebra. As a result the authors have decided to
                 make a number of changes to the original proposal. They
                 outline these changes.",
  acknowledgement = ack-nhfb,
  classcodes =   "C7310 (Mathematics); C4140 (Linear algebra)",
  classification = "C4140 (Linear algebra); C7310 (Mathematics)",
  fjournal =     "ACM SIGNUM Newsletter",
  journal-URL =  "https://dl.acm.org/loi/signum",
  keywords =     "block-structured algorithms; Block-structured
                 algorithms; Level 3 BLAS; level 3 BLAS; linear algebra;
                 Linear algebra; mathematics computing",
  thesaurus =    "Linear algebra; Mathematics computing",
}

@Article{Duff:1989:AS,
  author =       "Iain S. Duff",
  title =        "Architectures and systems",
  journal =      j-COMP-PHYS-REP,
  volume =       "11",
  number =       "1--6",
  pages =        "1--20",
  month =        nov,
  year =         "1989",
  CODEN =        "CPHREF",
  DOI =          "https://doi.org/10.1016/0167-7977(89)90016-6",
  ISSN =         "0167-7977 (print), 1878-1004 (electronic)",
  ISSN-L =       "0167-7977",
  bibdate =      "Tue Dec 12 11:09:40 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://www.sciencedirect.com/science/journal/01677977",
}

@Article{Duff:1989:CEC,
  author =       "Iain S. Duff",
  title =        "{CERFACS}: a {European Center for High-Performance
                 Computation}. {Centers of Supercomputing}",
  journal =      j-IJSA,
  volume =       "3",
  number =       "2",
  pages =        "6--9",
  year =         "1989",
  CODEN =        "IJSAE9",
  ISSN =         "0890-2720",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal of Supercomputer Applications",
  journal-URL =  "http://hpc.sagepub.com/content/by/year",
}

@Book{Duff:1989:DMS,
  author =       "Iain S. Duff and A. M. (Albert Maurice) Erisman and
                 John Ker Reid",
  title =        "Direct methods for sparse matrices",
  publisher =    pub-CLARENDON,
  address =      pub-CLARENDON:adr,
  pages =        "xiv + 34",
  year =         "1989",
  ISBN =         "0-19-853421-3 (paperback)",
  ISBN-13 =      "978-0-19-853421-1 (paperback)",
  LCCN =         "QA188 .D84 1989",
  bibdate =      "Sat Dec 31 14:06:36 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 library.ox.ac.uk:210/ADVANCE",
  series =       "Monographs on numerical analysis",
  acknowledgement = ack-nhfb,
  subject =      "Sparse matrices; Data processing",
}

@Article{Duff:1989:DS,
  author =       "Iain S. Duff",
  title =        "Direct solvers",
  journal =      j-COMP-PHYS-REP,
  volume =       "11",
  number =       "1--6",
  pages =        "21--50",
  year =         "1989",
  CODEN =        "CPHREF",
  DOI =          "https://doi.org/10.1016/0167-7977(89)90017-8",
  ISSN =         "0167-7977 (print), 1878-1004 (electronic)",
  ISSN-L =       "0167-7977",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://www.sciencedirect.com/science/journal/01677977",
}

@TechReport{Duff:1989:ECM,
  author =       "Iain S. Duff and Chiara Puglisi",
  title =        "Efficient computation of a matrix-matrix kernel",
  type =         "Report",
  number =       "CSS 238",
  institution =  inst-HARWELL,
  address =      inst-HARWELL:adr,
  pages =        "????",
  year =         "1989",
  bibdate =      "Tue Jan 03 09:09:39 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1989:EOP,
  author =       "Iain S. Duff and G. A. Meurant",
  title =        "The effect of ordering on preconditioned conjugate
                 gradients",
  journal =      j-BIT,
  volume =       "29",
  number =       "4",
  pages =        "635--657",
  year =         "1989",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/BF01932738",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65F35",
  MRnumber =     "91d:65064",
  MRreviewer =   "Cs. J. Heged{\H{u}}s",
  bibdate =      "Wed Jan 17 09:27:45 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT. Numerical Mathematics",
  journal-URL =  "http://link.springer.com/journal/10543",
}

@InProceedings{Duff:1989:FMM,
  author =       "Iain S. Duff",
  editor =       "J. C. Almond and D. M. Young",
  booktitle =    "Proceedings Modern Numerical Algorithms for
                 Supercomputers",
  title =        "Frontal and multifrontal methods",
  publisher =    pub-UT-A,
  address =      pub-UT-A:adr,
  pages =        "445--487",
  year =         "1989",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1989:MSM,
  author =       "Iain S. Duff",
  title =        "Multiprocessing a sparse matrix code on the {Alliant
                 FX/8}",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "27",
  number =       "1--2",
  pages =        "229--239",
  month =        sep,
  year =         "1989",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/0377-0427(89)90368-3",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 12:20:43 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0377042789903683",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@TechReport{Duff:1989:NAG,
  author =       "Iain S. Duff",
  title =        "{Numerical Analysis Group. Progress Report. January
                 1988--December 1988}",
  type =         "Report",
  institution =  inst-HARWELL,
  publisher =    pub-HMSO,
  address =      pub-HMSO:adr,
  year =         "1989",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  series =       "AERE R13391",
  acknowledgement = ack-nhfb,
}

@InCollection{Duff:1989:NOC,
  author =       "Iain S. Duff and S. L. Johnsson",
  title =        "Node orderings and concurrency in
                 structurally-symmetric sparse problems",
  crossref =     "Carey:1989:PSM",
  pages =        "177--189",
  year =         "1989",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Duff:1989:PAS,
  author =       "Iain S. Duff",
  title =        "Parallel algorithms for sparse matrix solution",
  crossref =     "Evans:1989:PCM",
  pages =        "73--82",
  year =         "1989",
  bibdate =      "Fri Nov 11 17:48:17 MST 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1989:SMT,
  author =       "Iain S. Duff and Roger G. Grimes and John G. Lewis",
  title =        "Sparse Matrix Test Problems",
  journal =      j-TOMS,
  volume =       "15",
  number =       "1",
  pages =        "1--14",
  month =        mar,
  year =         "1989",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/62038.62043",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Sun Sep 04 22:42:25 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://www.acm.org/pubs/toc/Abstracts/0098-3500/62043.html",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  keywords =     "measurement; performance",
  review =       "ACM CR 9002-0143",
  subject =      "{\bf G.1.3}: Mathematics of Computing, NUMERICAL
                 ANALYSIS, Numerical Linear Algebra, Sparse and very
                 large systems. {\bf G.4}: Mathematics of Computing,
                 MATHEMATICAL SOFTWARE.",
}

@Article{Duff:1989:UPR,
  author =       "Iain S. Duff and J. K. Reid and J. A. Scott",
  title =        "The use of profile reduction algorithms with a frontal
                 code",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "28",
  pages =        "2555--2568",
  year =         "1989",
  CODEN =        "IJNMBH",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
}

@InProceedings{Arioli:1990:BCB,
  author =       "Mario Arioli and Iain S. Duff and Joseph Noailles and
                 Daniel Ruiz",
  title =        "{Block Cimmino} and {Block SSOR} algorithms for
                 solving linear systems in a parallel environment",
  crossref =     "Laforenza:1990:STS",
  pages =        "47--54",
  year =         "1990",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Arioli:1990:BIM,
  author =       "Mario Arioli and Iain S. Duff and Joseph Noailles and
                 Daniel Ruiz",
  title =        "A block iterative method for general sparse
                 equations",
  crossref =     "Evans:1990:PCP",
  pages =        "187--193",
  year =         "1990",
  bibdate =      "Fri Nov 11 17:48:17 MST 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Arioli:1990:BPM,
  author =       "Mario Arioli and Iain Duff and J. Noailles and Daniel
                 Ruiz",
  title =        "A block projection method for sparse matrices",
  type =         "Report",
  number =       "RAL-90-093 and TR-PA-90-31",
  institution =  inst-RAL # " and " # inst-CERFACS,
  address =      inst-RAL:adr # " and " # inst-CERFACS:adr,
  pages =        "????",
  year =         "1990",
  bibdate =      "Tue Jan 03 08:47:28 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Arioli:1990:ETL,
  author =       "Mario Arioli and Iain S. Duff",
  title =        "Experiments in tearing large sparse systems",
  crossref =     "Cox:1990:RNC",
  pages =        "207--226",
  year =         "1990",
  MRclass =      "65F50",
  MRnumber =     "098 326",
  bibdate =      "Wed Jan 17 09:24:49 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Arioli:1990:UAC,
  author =       "Mario Arioli and Iain S. Duff and Nicholas I. M. Gould
                 and John K. Reid",
  title =        "Use of the {$ {{\rm P}}^4 $} and {$ {{\rm P}}^5 $}
                 Algorithms for In-Core Factorization of Sparse
                 Matrices",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "11",
  number =       "5",
  pages =        "913--927",
  month =        sep,
  year =         "1990",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0911053",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  MRclass =      "65F50",
  MRnumber =     "91f:65084",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  abstract =     "Variants of the P/sup 4/ algorithm of Hellerman and
                 Rarick and the P/sup 5/ algorithm of Erisman, Grimes,
                 Lewis, and Poole, used for generating a bordered block
                 triangular form for the in-core solution of sparse sets
                 of linear equations, are considered. A particular
                 concern is with maintaining numerical stability.
                 Methods for ensuring stability and the extra cost that
                 they entail are discussed. Different factorization
                 schemes are also examined. The uses of matrix
                 modification and iterative refinement are considered,
                 and the best variant is compared with an established
                 code for the solution of unsymmetric sparse sets of
                 linear equations. The established code is usually found
                 to be the most effective method.",
  acknowledgement = ack-nhfb,
  affiliation =  "Centre Eur. de Recherche et de Formation Avanc{\'e}e
                 en Calcul Sci., Toulouse, France",
  classification = "B0260 (Optimisation techniques); B0290H (Linear
                 algebra); C1180 (Optimisation techniques); C4140
                 (Linear algebra)",
  corpsource =   "Centre Eur. de Recherche et de Formation Avanc{\'e}e
                 en Calcul Sci., Toulouse, France",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "bordered block triangular form; factorization; in-core
                 factorization; iterative refinement; linear equations;
                 numerical stability; P/sup 4/ algorithm; P/sup 5/
                 algorithm; sparse matrices; unsymmetric sparse sets",
  onlinedate =   "September 1990",
  thesaurus =    "Iterative methods; Linear programming; Matrix
                 algebra",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{Dayde:1990:ULB,
  author =       "M. J. Dayde and I. S. Duff",
  title =        "Use of {Level 3 BLAS} in {LU} factorization in a
                 multiprocessing environment on three vector
                 multiprocessors: The {ALLIANT FX/80}, the {CRAY-2}, and
                 the {IBM-3090 VF}",
  type =         "Report",
  number =       "RAL-90-083",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1990",
  bibdate =      "Tue Jan 03 08:50:06 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Dayde:1990:UPL,
  author =       "Michel J. Dayd{\'e} and Iain S. Duff",
  title =        "Use of parallel {Level 3 BLAS} in $ \bf {LU} $
                 factorization on three vector multiprocessors, the
                 {Alliant FX\slash 80}, the {CRAY-2}, and the {IBM 3090
                 VF}",
  journal =      j-COMP-ARCH-NEWS,
  volume =       "18",
  number =       "3",
  pages =        "82--95",
  year =         "1990",
  CODEN =        "CANED2",
  ISSN =         "0163-5964 (ACM), 0884-7495 (IEEE)",
  ISSN-L =       "0163-5964",
  bibdate =      "Tue Sep 03 13:02:56 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  note =         "Conference proceedings. 1990 International conference
                 on Supercomputing, Amsterdam",
  abstract =     "The authors describe efficient and portable
                 implementations of LU factorization on parallel vector
                 computers with a global shared memory using Level 2 and
                 Level 3 BLAS. They demonstrate how the Level 3 BLAS can
                 be used to exploit parallelism, and that, though an
                 optimal implementation of the code depends on the
                 characteristics of the target computer, high
                 performance can be reached by taking advantage of both
                 vectorization and concurrency. Of course, the
                 performance obtained is closely linked to the
                 efficiency of the Level 3 BLAS available on the target
                 computer. The authors have seen that the parallel
                 version of LU factorization only provides a small
                 performance improvement over the version using only
                 parallel BLAS on the CRAY-2 and the IBM 3090. They have
                 observed that, although the CRAY-2 is a very powerful
                 vector computer, it has some limitations in its use in
                 a multiprocessing mode. On the ALLIANT FX/80, they can
                 efficiently parallelize all the BLAS kernels (including
                 Level 1 and Level 2 BLAS) using microtasking so that
                 they were not able to obtain any improvement of the
                 speedup with a parallel version of LU factorization.",
  acknowledgement = ack-nhfb,
  affiliation =  "CERFACS, Toulouse, France",
  classification = "C5440 (Multiprocessor systems and techniques); C5470
                 (Performance evaluation and testing); C7310
                 (Mathematics)",
  fjournal =     "ACM SIGARCH Computer Architecture News",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J89",
  keywords =     "Alliant FX/80; Concurrency; Cray-2; Global shared
                 memory; IBM 3090 VF; LU factorization; Multiprocessors;
                 Parallel Level 3 BLAS; Parallel version; Portable
                 implementations; Vectorization",
  thesaurus =    "Mathematics computing; Parallel processing;
                 Performance evaluation",
}

@Article{Dongarra:1990:ASL,
  author =       "Jack J. Dongarra and Jeremy Du Croz and Sven
                 Hammarling and Iain Duff",
  title =        "Algorithm 679: {A} Set of Level 3 {Basic Linear
                 Algebra Subprograms}: Model Implementation and Test
                 Programs",
  journal =      j-TOMS,
  volume =       "16",
  number =       "1",
  pages =        "18--28",
  month =        mar,
  year =         "1990",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/77626.77627",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Sat Aug 27 17:29:49 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  note =         "See also
                 \cite{Higham:1990:EFM,Demmel:1992:SBA,Dayde:1994:PBI}.",
  URL =          "http://www.acm.org/pubs/toc/Abstracts/0098-3500/77627.html",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  keywords =     "algorithms; measurement; performance; reliability;
                 verification",
  subject =      "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language
                 Classifications, FORTRAN 8X. {\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, Linear systems (direct and iterative methods).
                 {\bf G.4}: Mathematics of Computing, MATHEMATICAL
                 SOFTWARE.",
}

@Article{Dongarra:1990:SLB,
  author =       "Jack J. Dongarra and Jeremy Du Croz and Sven
                 Hammarling and Iain Duff",
  title =        "A Set of Level 3 {Basic Linear Algebra Subprograms}",
  journal =      j-TOMS,
  volume =       "16",
  number =       "1",
  pages =        "1--17",
  month =        mar,
  year =         "1990",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/77626.79170",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Sat Aug 27 19:10:43 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://www.acm.org/pubs/toc/Abstracts/0098-3500/79170.html",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  keywords =     "algorithms; kernels, linear algebra; measurement;
                 performance; reliability; verification",
  subject =      "{\bf G.4}: Mathematics of Computing, MATHEMATICAL
                 SOFTWARE. {\bf G.1.3}: Mathematics of Computing,
                 NUMERICAL ANALYSIS, Numerical Linear Algebra, Linear
                 systems (direct and iterative methods). {\bf F.2.1}:
                 Theory of Computation, ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY, Numerical Algorithms and Problems,
                 Computations on matrices. {\bf G.1.0}: Mathematics of
                 Computing, NUMERICAL ANALYSIS, General, Numerical
                 algorithms.",
}

@InProceedings{Duff:1990:CSS,
  author =       "Iain S. Duff and Jaap Hollenberg",
  editor =       "????",
  booktitle =    "Proceedings of SUP'EUR Fall'90 Meeting, Aachen,
                 September 1990",
  title =        "Current status in scientific computing",
  publisher =    "????",
  address =      "????",
  pages =        "18",
  year =         "1990",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  keywords =     "Supercomputing in Europe (User's Group)",
}

@InProceedings{Duff:1990:ECM,
  author =       "Iain S. Duff and Chiara Puglisi",
  title =        "Efficient computation of a matrix-matrix kernel",
  crossref =     "Laforenza:1990:STS",
  pages =        "541--547",
  year =         "1990",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1990:FSS,
  author =       "I. S. Duff and N. I. M. Gould and J. K. Reid and J. A.
                 Scott and K. Turner",
  title =        "The factorization of sparse symmetric indefinite
                 matrices",
  type =         "Report",
  number =       "RAL-90-066",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1990",
  bibdate =      "Tue Jan 03 08:52:30 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Duff:1990:MMP,
  author =       "Iain S. Duff and Nicholas I. M. Gould and Marc
                 Lescrenier and John K. Reid",
  title =        "The multifrontal method in a parallel environment",
  crossref =     "Cox:1990:RNC",
  pages =        "93--111",
  year =         "1990",
  bibdate =      "Fri Nov 11 17:48:17 MST 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Duff:1990:MSM,
  author =       "Iain S. Duff",
  title =        "Multiprocessing a sparse matrix code on the {Alliant
                 FX-8}",
  crossref =     "vanderVorst:1990:PAN",
  pages =        "??--??",
  year =         "1990",
  bibdate =      "Sat Dec 31 13:03:17 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Duff:1990:PAR,
  author =       "Iain S. Duff",
  title =        "Parallel algorithm research at {CERFACS}",
  crossref =     "IEEE:1990:PSN",
  pages =        "536--542",
  year =         "1990",
  bibdate =      "Fri Nov 11 17:48:17 MST 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  abstract =     "The author discusses the present status of CERFACS, a
                 European Centre for Research and Advanced Training in
                 Supercomputing situated in Toulouse in southwestern
                 France. The Parallel Algorithm Team has been a central
                 group in CERFACS since the Center started in 1987. Its
                 main focus is the efficient solution of large sparse
                 systems on vector and parallel architectures. The
                 author discusses in detail two such projects, namely
                 the solution by direct methods using a multifrontal
                 scheme and by iterative methods using a block
                 projection method. Particular emphasis is placed on the
                 portability of the algorithmic paradigms over a range
                 of architectures so that high efficiency can be
                 obtained with a minimum and isolated degree of
                 tuning.",
  acknowledgement = ack-nhfb,
  affiliation =  "Rutherford Appleton Lab., Chilton, UK",
  classification = "C4140 (Linear algebra); C4170 (Differential
                 equations); C6110 (Systems analysis and programming)",
  keywords =     "Block projection method; CERFACS; Direct methods;
                 European Centre for Research and Advanced Training in
                 Supercomputing; France; Iterative methods; Large sparse
                 systems; Multifrontal scheme; Parallel Algorithm Team;
                 Portability",
  thesaurus =    "Iterative methods; Parallel algorithms; Software
                 portability",
}

@InProceedings{Duff:1990:PCC,
  author =       "Iain S. Duff",
  title =        "Parallel computation at {CERFACS}",
  crossref =     "Dongarra:1990:PPS",
  pages =        "66--67",
  year =         "1990",
  bibdate =      "Fri Nov 11 17:48:17 MST 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Duff:1990:PSS,
  author =       "Iain S. Duff",
  title =        "The present status of supercomputing in {Europe}",
  crossref =     "JAERI:1990:FIC",
  pages =        "257--263",
  year =         "1990",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Duff:1990:S,
  author =       "Iain S. Duff",
  title =        "Supercomputers --- 1988",
  crossref =     "Manley:1990:PTE",
  pages =        "31--44",
  year =         "1990",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1990:SLS,
  author =       "Iain S. Duff",
  title =        "The solution of large-scale least-squares problems on
                 supercomputers",
  journal =      j-ANN-OPER-RESEARCH,
  volume =       "22",
  number =       "1",
  pages =        "241--252",
  month =        dec,
  year =         "1990",
  CODEN =        "AOREEV",
  DOI =          "https://doi.org/10.1007/BF02023055",
  ISSN =         "0254-5330 (print), 1572-9338 (electronic)",
  ISSN-L =       "0254-5330",
  MRclass =      "65F99 (90C20)",
  MRnumber =     "91a:65122",
  bibdate =      "Wed Jan 17 09:18:54 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Annals of Operations Research",
  journal-URL =  "https://link.springer.com/journal/10479",
}

@Article{Higham:1990:EFM,
  author =       "Nicholas J. Higham",
  title =        "Exploiting Fast Matrix Multiplication Within the Level
                 3 {BLAS}",
  journal =      j-TOMS,
  volume =       "16",
  number =       "4",
  pages =        "352--368",
  month =        dec,
  year =         "1990",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/98267.98290",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Sun Sep 04 23:21:57 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  note =         "Describes algorithms based on Strassen's method which
                 are asymptotically faster than the standard $ {N}^3 $
                 algorithm, and in practice, faster for $ {N} \approx
                 100 $, and examines their numerical stability. See
                 \cite{Dongarra:1990:ASL,Demmel:1992:SBA}.",
  URL =          "http://www.acm.org/pubs/toc/Abstracts/0098-3500/98290.html",
  abstract =     "The Level 3 BLAS (BLAS3) are a set of specifications
                 of FORTRAN 77 subprograms for carrying out matrix
                 multiplications and the solution of triangular systems
                 with multiple right-hand sides. They are intended to
                 provide efficient and portable building blocks for
                 linear algebra algorithms on high-performance
                 computers. We describe algorithms for the BLAS3
                 operations that are asymptotically faster than the
                 conventional ones. These algorithms are based on
                 Strassen's method for fast matrix multiplication, which
                 is now recognized to be a practically useful technique
                 once matrix dimensions exceed about 100. We pay
                 particular attention to the numerical stability of
                 these ``fast BLAS3.'' Error bounds are given and their
                 significance is explained and illustrated with the aid
                 of numerical experiments. Our conclusion is that the
                 fast BLAS3, although not as strongly stable as
                 conventional implementations, are stable enough to
                 merit careful consideration in many applications.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  keywords =     "algorithms",
  subject =      "{\bf G.1.3}: Mathematics of Computing, NUMERICAL
                 ANALYSIS, Numerical Linear Algebra. {\bf D.3.2}:
                 Software, PROGRAMMING LANGUAGES, Language
                 Classifications, FORTRAN 77.",
}

@Article{Amestoy:1991:DPS,
  author =       "Patrick R. Amestoy and Michel J. Dayd{\'e} and Iain S.
                 Duff",
  title =        "Designing portable parallel software for linear
                 algebra",
  journal =      j-THEOR-CHIM-ACTA,
  volume =       "79",
  number =       "3",
  pages =        "169--174",
  year =         "1991",
  CODEN =        "TCHAAM",
  DOI =          "https://doi.org/10.1007/BF01113688",
  ISSN =         "0040-5744",
  bibdate =      "Tue Sep 3 12:52:10 MDT 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Theoretica Chimica Acta",
  journal-URL =  "http://link.springer.com/journal/214",
}

@TechReport{Arioli:1991:SCI,
  author =       "Mario Arioli and Iain Duff and Daniel Ruiz",
  title =        "Stopping criteria for iterative solvers",
  type =         "Report",
  number =       "RAL-91-057",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1991",
  bibdate =      "Tue Jan 03 08:45:01 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Arioli:1991:TAB,
  author =       "M. Arioli and Iain S. Duff and D. Ruiz and M.
                 Sadkane",
  title =        "Techniques for accelerating the {Block Cimmino}
                 method",
  number =       "TR/PA/91/63",
  institution =  inst-CERFACS,
  address =      inst-CERFACS:adr,
  year =         "1991",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Dayde:1991:ULB,
  author =       "Michel J. Dayd{\'e} and Iain S. Duff",
  title =        "Use of {Level 3 BLAS} in $ \bf {LU} $ factorization in
                 a multitasking environment on three vector
                 multiprocessors, the {CRAY-2}, the {IBM 3090 VF} and
                 the {Alliant FX\slash 80}",
  journal =      j-IJSA,
  volume =       "5",
  number =       "3",
  pages =        "92--110",
  year =         "1991",
  CODEN =        "IJSAE9",
  DOI =          "https://doi.org/10.1177/109434209100500308",
  ISSN =         "0890-2720",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  abstract =     "Studies various implementations of block Gaussian
                 elimination on full matrices and examines their
                 performance on three parallel computers, the Alliant
                 FX\slash 80, the CRAY-2 and the IBM 3090-400/VF. These
                 implementations are expressed in terms of Level 3 BLAS
                 matrix-matrix kernels. The authors consider the use of
                 parallel Level 3 BLAS kernels and compare the
                 parallelism obtained within the computational kernels
                 with that obtained when parallelizing over the kernels.
                 They show that the use of parallel Level 3 BLAS allows
                 portability without sacrifice of efficiency, even in a
                 parallel environment, and that high speeds can be
                 obtained if tuned versions of the kernels are
                 available.",
  acknowledgement = ack-nhfb,
  affiliation =  "CERFACS, Toulouse, France",
  classification = "C4140 (Linear algebra); C6110P (Parallel
                 programming)",
  fjournal =     "International Journal of Supercomputer Applications",
  journal-URL =  "http://hpc.sagepub.com/content/by/year",
  keywords =     "Alliant FX/80; Block Gaussian elimination; CRAY-2;
                 Full matrices; IBM 3090-400/VF; Level 3 BLAS;
                 Matrix-matrix kernels; Multiprocessing environment;
                 Parallel computers; Parallelism; Portability",
  pubcountry =   "USA",
  thesaurus =    "Matrix algebra; Parallel programming",
}

@Book{Dongarra:1991:SLS,
  author =       "Jack J. Dongarra and Iain S. Duff and Danny C.
                 Sorensen and Henk A. {van der Vorst}",
  title =        "Solving Linear Systems on Vector and Shared Memory
                 Computers",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "x + 256",
  year =         "1991",
  ISBN =         "0-89871-270-X",
  ISBN-13 =      "978-0-89871-270-4",
  LCCN =         "QA184 .S65 1991",
  bibdate =      "Mon Oct 26 07:30:53 1998",
  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/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/master.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana1990.bib;
                 https://www.math.utah.edu/pub/tex/bib/texbook2.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  tableofcontents = "Introduction / 1 \\
                 1 Vector and Parallel Processing / 3 \\
                 1.1 Traditional Computers and Their Limitations / 3 \\
                 1.2 Parallelism within a Single Processor / 4 \\
                 1.2.1 Multiple Functional Units / 4 \\
                 1.2.2 Pipelining / 4 \\
                 1.2.3 Overlapping / 6 \\
                 1.2.4 RISC / 7 \\
                 1.2.5 VLIW / 8 \\
                 1.2.6 Vector Instructions / 8 \\
                 1.2.7 Chaining / 9 \\
                 1.2.8 Memory-to-Memory and Register-to-Register
                 Organizations / 10 \\
                 1.2.9 Register Set / 10 \\
                 1.2.10 Stripmining / 11 \\
                 1.2.11 Reconfigurable Vector Registers / 11 \\
                 1.2.12 Memory Organization / 12 \\
                 1.3 Data Organization / 14 \\
                 1.3.1 Main Memory / 14 \\
                 1.3.2 Cache / 16 \\
                 1.3.3 Local Memory / 18 \\
                 1.4 Memory Management / 18 \\
                 1.5 Parallelism through Multiple Pipes or Multiple
                 Processors / 21 \\
                 1.6 Interconnection Topology / 22 \\
                 1.6.1 Crossbar Switch / 23 \\
                 1.6.2 Timeshared Bus / 24 \\
                 1.6.3 Ring Connection / 25 \\
                 1.6.4 Mesh Connection / 25 \\
                 1.6.5 Hypercube / 26 \\
                 1.6.6 Multistaged Network / 27 \\
                 1.7 Programming Techniques / 29 \\
                 2 Overview of Current High-Performance Computers / 33
                 \\
                 2.1 Supercomputers / 33 \\
                 2.2 Mini-Supercomputers / 36 \\
                 2.3 Vector Mainframes / 37 \\
                 2.4 Novel Parallel Processors / 37 \\
                 3 Implementation Details and Overhead / 43 \\
                 3.1 Parallel Decomposition and Data Dependency Graphs /
                 43 \\
                 3.2 Synchronization / 46 \\
                 3.3 Load Balancing / 48 \\
                 3.4 Recurrence / 49 \\
                 3.5 Indirect Addressing / 51 \\
                 4 Performance: Analysis, Modeling, and Measurements /
                 53 \\
                 4.1 Amdahl's Law / 54 \\
                 4.1.1 Simple Case of Amdahl's Law / 54 \\
                 4.1.2 General Form of Amdahl's Law / 55 \\
                 4.2 Vector Speed and Vector Length / 56 \\
                 4.3 Amdahl's Law-Parallel Processing / 57 \\
                 4.3.1 A Simple Model / 60 \\
                 4.3.2 Gustafson's Model / 60 \\
                 4.4 Examples of $(r_\infty, n_{1/2})$-values for
                 Various Computers / 60 \\
                 4.4.1 CRAY-1 and CRAY-2 (one processor) / 62 \\
                 4.4.2 CRAY X-MP (one processor; clock cycle time 8.5
                 nsec) / 63 \\
                 4.4.3 CYBER 205 (2-pipe) and ETA-10P (single processor)
                 / 63 \\
                 4.4.4 IBM 3090/VF (1 processor; clock cycle time 18.5
                 nsec) / 64 \\
                 4.4.5 NEC SX/2 / 65 \\
                 4.4.6 Convex C-1 and Convex C-210 / 66 \\
                 4.4.7 Alliant FX/80 / 66 \\
                 4.4.8 General Observations / 68 \\
                 4.5 LINPACK Benchmark / 68 \\
                 4.5.1 Description of the Benchmark / 69 \\
                 4.5.2 Calls to the BLAS / 69 \\
                 4.5.3 Asymptotic Performance / 75 \\
                 5 Building Blocks in Linear Algebra / 75 \\
                 5.1 Basic Linear Algebra Subprograms / 75 \\
                 5.1.1 Level 1 BLAS / 76 \\
                 5.1.2 Level 2 BLAS / 77 \\
                 5.1.3 Level 3 BLAS / 78 \\
                 5.2 Levels of Parallelism / 81 \\
                 5.2.1 Vector Computers / 81 \\
                 5.2.2 Parallel Processors with Shared Memory / 82 \\
                 5.2.3 Parallel-Vector Computers / 83 \\
                 5.2.4 Clusters of Parallel Vector Processors / 84 \\
                 5.3 Basic Factorizations of Linear Algebra / 84 \\
                 5.3.1 Point Algorithm: Gaussian Elimination with
                 Partial Pivoting / 84 \\
                 5.3.2 Special Matrices / 86 \\
                 5.4 Blocked Algorithms: Matrix-Vector and Matrix-Matrix
                 Versions / 89 \\
                 5.4.1 Right-Looking Algorithm / 90 \\
                 5.4.2 Left-Looking Algorithm / 92 \\
                 5.4.3 Crout Algorithm / 98 \\
                 5.4.4 Typical Performance of Blocked LU Decomposition /
                 94 \\
                 5.4.5 Blocked Symmetric Indefinite Factorization / 95
                 \\
                 5.4.6 Typical Performance of Blocked Symmetric
                 Indefinite Factorization. / 98 \\
                 5.5 Linear Least Squares / 98 \\
                 5.5.1 Householder Method / 99 \\
                 5.5.2 Blocked Householder Method / 100 \\
                 5.5.3 Typical Performance of the Blocked Householder
                 Factorization / 101 \\
                 5.6 Organization of the Modules / 102 \\
                 5.6.1 Matrix--Vector Product / 102 \\
                 5.6.2 Matrix--Matrix Product / 103 \\
                 5.6.3 Typical Performance for Parallel Processing / 104
                 \\
                 5.6.4 Benefits / 105 \\
                 5.7 LAPACK / 106 \\
                 6 Direct Solution of Sparse Linear Systems / 109 \\
                 6.1 Introduction to Direct Methods for Sparse Linear
                 Systems / 111 \\
                 6.1.1 Three Approaches / 111 \\
                 6.1.2 Description of Sparse Data Structure / 112 \\
                 6.1.3 Manipulation of Sparse Data Structure / 114 \\
                 6.2 General Sparse Matrix Methods / 116 \\
                 6.3 Methods for Symmetric Matrices and Band Systems /
                 124 \\
                 6.3.1 The Clique Concept in Gaussian Elimination / 125
                 \\
                 6.3.2 Code Performance and Symmetry / 128 \\
                 6.4 Frontal Methods / 130 \\
                 6.4.1 Organization / 130 \\
                 6.4.2 Vector Performance / 132 \\
                 6.5 Multifrontal Methods / 135 \\
                 6.5.1 Performance on Vector Machines / 139 \\
                 6.5.2 Performance on Parallel Machines / 139 \\
                 6.6 Other Approaches for Exploitation of Parallelism /
                 141 \\
                 6.7 Software / 141 \\
                 6.8 Brief Summary / 142 \\
                 7 Iterative Solution of Sparse Linear Systems / 143 \\
                 7.1 Iterative Methods / 145 \\
                 7.1.1 Conjugate Gradient / 145 \\
                 7.1.2 Least Squares Conjugate Gradients / 148 \\
                 7.1.3 Biconjugate Gradients / 150 \\
                 7.1.4 Conjugate Gradient Squared / 152 \\
                 7.1.5 GMRES and GMRES(m) / 154 \\
                 7.1.6 Adaptive Chebychev / 156 \\
                 7.2 Vector and Parallel Aspects / 158 \\
                 7.2.1 General Remarks / 158 \\
                 7.2.2 Sparse Matrix-Vector Multiplication / 160 \\
                 7.2.3 Performance of the Unpreconditioned Methods / 164
                 \\
                 7.3 Preconditioning / 165 \\
                 7.3.1 General Aspects / 165 \\
                 7.3.2 Efficient Implementations / 168 \\
                 7.3.3 Partial Vectorization / 170 \\
                 7.3.4 Reordering the Unknowns / 172 \\
                 7.3.5 Changing the Order of Computation / 174 \\
                 7.3.6 Some Other Vectorizable Preconditioners / 180 \\
                 7.3.7 Parallel Aspects / 183 \\
                 7.4 Experiences with Parallelism / 186 \\
                 7.4.1 General Remarks / 186 \\
                 7.4.2 Overlapping Local Preconditioners / 186 \\
                 7.4.3 Repeated Twisted Factorization / 188 \\
                 7.4.4 Twisted and Nested Twisted Factorization / 189
                 \\
                 7.4.5 Hyperplane Ordering / 189 \\
                 A Acquiring Mathematical Software / 191 \\
                 B Glossary / 197 \\
                 C Information on Various High-Performance Computers /
                 213 \\
                 D Level 1, 2, and 3 BLAS Quick Reference / 221 \\
                 E Operation Counts for Various BLAS and Decompositions
                 / 227 \\
                 Index / 247",
}

@TechReport{Duff:1991:CSE,
  author =       "I. S. Duff and J. A. Scott",
  title =        "Computing selected eigenvalues of sparse unsymmetric
                 matrices using subspace iteration",
  type =         "Report",
  number =       "RAL-91-056",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1991",
  bibdate =      "Tue Jan 03 08:46:07 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1991:FSS,
  author =       "Iain S. Duff and N. I. M. Gould and J. K. Reid and J.
                 A. Scott and K. Turner",
  title =        "Factorization of sparse symmetric indefinite
                 matrices",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "11",
  number =       "2",
  pages =        "181--204",
  year =         "1991",
  CODEN =        "IJNADH",
  DOI =          "https://doi.org/10.1093/imanum/11.2.181",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  bibdate =      "Sat Dec 23 14:55:00 2000",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "IMA Journal of Numerical Analysis",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
  keywords =     "sparse, augms",
}

@Article{Duff:1991:MRB,
  author =       "I. S. Duff and G. A. Watson",
  title =        "{A. R. Mitchell} 70th Birthday Issue --- Editorial",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "11",
  number =       "4",
  pages =        "U449--U449",
  month =        "????",
  year =         "1991",
  CODEN =        "IJNADH",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  bibdate =      "Tue Jun 4 09:26:54 MDT 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "IMA Journal of Numerical Analysis",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
}

@TechReport{Duff:1991:NAG,
  author =       "Iain S. Duff",
  title =        "{Numerical Analysis Group. Progress Report. January
                 1989--December 1990}",
  type =         "Report",
  number =       "RAL 91-041",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  year =         "1991",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Duff:1991:PAG,
  author =       "Iain S. Duff",
  title =        "Parallel algorithms for general sparse systems",
  crossref =     "Spedicato:1991:CAS",
  pages =        "277--297",
  year =         "1991",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Duff:1991:SSL,
  author =       "I. S. Duff",
  title =        "Solution of Sparse Linear Equations on
                 Supercomputers",
  crossref =     "Anonymous:1991:PIS",
  pages =        "252--??",
  year =         "1991",
  bibdate =      "Thu Sep 16 09:48:36 MDT 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1991:TJA,
  author =       "Iain S. Duff and D. K. Kahaner",
  title =        "Two {Japanese} approaches to circuit simulation",
  journal =      "Scientific Information Bulletin and Office of Naval
                 Research Asian Office. NAVSO P-3580",
  volume =       "16",
  number =       "1",
  pages =        "21--26",
  year =         "1991",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Amestoy:1992:EUP,
  author =       "P. Amestoy and M. Dayd{\'e} and I. Duff",
  title =        "Efficient use of parallel matrix-matrix kernels in
                 linear algebra on the {Alliant FX\slash 80}, the
                 {Cray-2}, the {ETA-10P}, and the {IBM 3090}",
  crossref =     "Perrott:1992:SPC",
  pages =        "255--262",
  year =         "1992",
  bibdate =      "Mon Sep 9 07:55:25 MDT 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  abstract =     "The use of Level 3 BLAS computational kernels (J. J.
                 Dongarra et al. 1988) on parallel vector computers with
                 a global shared memory is considered. This class of
                 computer architecture is widely used in the design of
                 today's supercomputers including the Cray-2, the ETA
                 10P, the IBM 3090 and the Alliant FX\slash 80. The aim
                 of this work is to show that, based on the use of Level
                 3 BLAS kernels, portable and efficient code can be
                 designed even in a multiprocessing environment. The
                 authors illustrate this on the solution of sets of
                 linear equations: Ax=b both when the matrix A is full
                 and when it is sparse. They go on to consider the case
                 of full systems of equations and compare the
                 parallelism obtained within the computational kernels
                 with that obtained over the kernels. They also examine
                 the case when A is sparse and analyse the influence of
                 this lower level of parallelism (within Level 3 BLAS)
                 on the global parallelism of the method.",
  acknowledgement = ack-nhfb,
  affiliation =  "CERFACS, Toulouse, France",
  classification = "C4140 (Linear algebra); C5220P (Parallel
                 architecture); C5440 (Multiprocessor systems and
                 techniques); C6110P (Parallel programming); C6150J
                 (Operating systems)",
  keywords =     "Alliant FX/80; Computer architecture; Cray-2; ETA 10P;
                 Global shared memory; IBM 3090; Level 3 BLAS
                 computational kernels; Linear algebra; Multiprocessing
                 environment; Parallel matrix-matrix kernels; Parallel
                 vector computers; Parallelism; Supercomputers",
  pubcountry =   "UK",
  thesaurus =    "Matrix algebra; Operating systems [computers];
                 Parallel algorithms; Parallel architectures; Parallel
                 machines; Parallel programming; Subroutines",
}

@InProceedings{Amestoy:1992:LACa,
  author =       "P. R. Amestoy and M. J. Dayd{\'e} and Iain S. Duff and
                 P. Mor{\`e}re",
  title =        "Linear algebra calculations on the {BBN TC200}",
  crossref =     "Bouge:1992:PPC",
  pages =        "319--330",
  year =         "1992",
  bibdate =      "Wed Mar 15 17:30:09 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  note =         "Also published as CERFACS Report TR/PA/92/69.",
  abstract =     "The BBN TC2000 is a distributed-memory multiprocessor
                 with up to 512 RISC processor nodes. The originality of
                 the BBN TC2000 comes from its interconnection network
                 (Butterfly switch) and from its globally addressable
                 memory. The authors evaluate, in this paper, the impact
                 of the memory hierarchy of the TC2000 on the design of
                 algorithms for linear algebra. On shared memory
                 multiprocessor computers, block algorithms have been
                 introduced for efficiency. They study the potential and
                 the limitations of such approaches on the BBN TC2000.
                 They describe the implementation of Level 3 BLAS and
                 examine the performance of some of the LAPACK routines.
                 They also study the factorization of sparse matrices
                 based on a multifrontal approach. The ideas introduced
                 for the parallelization of full linear algebra codes
                 are applied to the sparse case. They discuss and
                 illustrate the limitations of this approach in sparse
                 multifrontal factorization. They show that the
                 speed-ups obtained on the class of methods presented
                 are comparable to those obtained on more classical
                 shared memory computers.",
  acknowledgement = ack-nhfb,
  affiliation =  "CERFACS, Toulouse, France",
  classification = "C4140 (Linear algebra); C4240P (Parallel programming
                 and algorithm theory); C7310 (Mathematics)",
  keywords =     "BBN TC2000; Block algorithms; Butterfly switch;
                 Distributed-memory multiprocessor; Factorization;
                 Globally addressable memory; Interconnection network;
                 LAPACK routines; Level 3 BLAS; Linear algebra; Linear
                 algebra calculations; Memory hierarchy; Multifrontal
                 approach; Parallelization; Performance; Sparse
                 matrices",
  thesaurus =    "Linear algebra; Mathematics computing; Parallel
                 algorithms; Performance evaluation",
}

@TechReport{Amestoy:1992:LACb,
  author =       "P. R. Amestoy and M. J. Dayd{\'e} and Iain S. Duff and
                 P. Mor{\`e}re",
  title =        "Linear algebra calculations on a virtual shared memory
                 computer",
  number =       "TR/PA/92/70",
  institution =  inst-CERFACS,
  address =      inst-CERFACS:adr,
  year =         "1992",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  note =         "Published in \cite{Amestoy:1993:LAC}.",
  acknowledgement = ack-nhfb,
  xxnote =       "Check: same report, different titles for
                 \cite{Amestoy:1992:LACb,Arioli:1992:BLT}??",
}

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

@Article{Arioli:1992:BPM,
  author =       "Mario Arioli and Iain Duff and Joseph Noailles and
                 Daniel Ruiz",
  title =        "A Block Projection Method for Sparse Matrices",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "13",
  number =       "1",
  pages =        "47--70",
  month =        jan,
  year =         "1992",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0913003",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  MRclass =      "65F50 (65F10 65Y05)",
  MRnumber =     "92g:65053",
  bibdate =      "Wed Jan 17 09:36:14 MST 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  note =         "First Copper Mountain Conference on Iterative
                 Methods.",
  abstract =     "A block version of the Cimmino algorithm for solving
                 general sets of consistent sparse linear equations is
                 described. The case of matrices in block tridiagonal
                 form is emphasized because it is assumed that the
                 general case can be reduced to this form by
                 permutations. It is shown how the basic method can be
                 accelerated by using the conjugate gradient (CG)
                 algorithm. This acceleration is very dependent on a
                 partitioning of the original system and several
                 possible partitionings are discussed. Underdetermined
                 systems corresponding to the subproblems of the
                 partitioned system are solved using the Harwell sparse
                 symmetric indefinite solver MA27 on an augmented
                 system. These systems are independent and can be solved
                 in parallel. An analysis of the iteration matrix for
                 the conjugate gradient acceleration leads to the
                 consideration of rather unusual and novel scalings of
                 the matrix that alter the spectrum of the iteration
                 matrix to reduce the number of CG iterations. The
                 various aspects of this algorithm have been tested by
                 runs on an eight-processor Alliant FX\slash 80 on four
                 block tridiagonal systems, two from fluid dynamics
                 simulations and two from the literature. The effect of
                 partitioning and scaling on the number of iterations
                 and overall elapsed time for solution is studied. In
                 all cases, an accurate solution with rapid convergence
                 can be obtained.",
  acknowledgement = ack-nhfb,
  affiliation =  "Centre Europ{\'e}en de Recherche et de Formation
                 Avanc{\'e}e en Calcul Sci., Toulouse, France",
  classification = "A0210 (Algebra, set theory, and graph theory); A0260
                 (Numerical approximation and analysis); A0340G (Fluid
                 dynamics: general mathematical aspects); A4710 (General
                 theory, simulation and other computational methods);
                 C4130 (Interpolation and function approximation); C4140
                 (Linear algebra); C7320 (Physics and Chemistry)",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "Alliant FX/80; Block Cimmino, conjugate gradients,
                 multifrontal; Block projection method; Block
                 tridiagonal systems; Cimmino algorithm; Conjugate
                 gradient acceleration; Consistent sparse linear
                 equations; Convergence; Fluid dynamics simulations;
                 Harwell sparse symmetric indefinite solver MA27;
                 Iteration matrix; Partitioning; Sparse matrices",
  onlinedate =   "January 1992",
  thesaurus =    "Conjugate gradient methods; Convergence of numerical
                 methods; Flow simulation; Fluid dynamics; Matrix
                 algebra; Parallel algorithms; Physics computing",
}

@Article{Arioli:1992:SCI,
  author =       "Mario Arioli and Iain S. Duff and Daniel Ruiz",
  title =        "Stopping Criteria for Iterative Solvers",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "13",
  number =       "1",
  pages =        "138--144",
  month =        jan,
  year =         "1992",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/0613012",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@InProceedings{Arioli:1992:TAB,
  author =       "Mario Arioli and Iain S. Duff and Daniel Ruiz and
                 Miloud Sadkane",
  title =        "Techniques for accelerating the {Block Cimmino}
                 method",
  crossref =     "Dongarra:1992:PFS",
  pages =        "98--104",
  year =         "1992",
  bibdate =      "Fri Nov 11 17:48:17 MST 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  note =         "Also reprinted in Proceedings of One-day Workshop on
                 Parallel Numerical Analysis, 21 June 1991. Editors D.
                 B. Duncan, K. I. M. Mc Kinnon, and F. Plab. Report
                 EPCC-TR92-05, Edinburgh Parallel Computing Centre,
                 1--7.",
  acknowledgement = ack-nhfb,
}

@TechReport{Davis:1992:UPM,
  author =       "Timothy A. Davis and Iain S. Duff",
  title =        "Unsymmetric-pattern multifrontal methods for parallel
                 sparse $ \bf {LU} $ factorization",
  type =         "Technical Report",
  number =       "TR-91-023",
  institution =  "Computer and Information Science Department,
                 University of Florida",
  address =      "Gainesville, FL 32611, USA",
  year =         "1992",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Dayde:1992:EDV,
  author =       "M. J. Dayd{\'e} and Iain S. Duff and J. Y. L'Excellent
                 and L. Giraud",
  title =        "Evaluation d'ordinateurs vectoriels et parall{\`e}les
                 sur un jeu de programmes repr{\'e}sentatifs des calculs
                 intensifs {\`a} la division avions de
                 l'{A{\'e}rospatiale}: bilan de l'{\'e}tape de portage.
                 ({French}) [{Evaluation} of vector and parallel
                 computers in a programming game representative of
                 numerically-intensive calculations in the airplane
                 division of l'{A{\'e}rospatiale}: Report of the state
                 of the port]",
  number =       "PR/PA/92/10",
  institution =  inst-CERFACS,
  address =      inst-CERFACS:adr,
  year =         "1992",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  language =     "French",
}

@Article{Demmel:1992:SBA,
  author =       "James W. Demmel and Nicholas J. Higham",
  title =        "Stability of Block Algorithms with Fast Level-3
                 {BLAS}",
  journal =      j-TOMS,
  volume =       "18",
  number =       "3",
  pages =        "274--291",
  month =        sep,
  year =         "1992",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/131766.131769",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Fri Sep 30 01:27:16 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  note =         "See
                 \cite{Dongarra:1990:ASL,Higham:1990:EFM,Dayde:1994:PBI}.",
  URL =          "http://www.acm.org/pubs/toc/Abstracts/0098-3500/131769.html",
  abstract =     "Block algorithms are becoming increasingly popular in
                 matrix computations. Since their basic unit of data is
                 a submatrix rather than a scalar, they have a higher
                 level of granularity than point algorithms, and this
                 makes them well suited to high-performance computers.
                 The numerical stability of the block algorithms in the
                 new linear algebra program library LAPACK is
                 investigated here. It is shown that these algorithms
                 have backward error analyses in which the backward
                 error bounds are commensurate with the error bounds for
                 the underlying level-3 BLAS (BLAS3). One implication is
                 that the block algorithms are as stable as the
                 corresponding point algorithms when conventional BLAS3
                 are used. A second implication is that the use of BLAS3
                 based on fast matrix multiplication techniques affects
                 the stability only insofar as it increases the constant
                 terms in the normwise backward error bounds. For linear
                 equation solvers employing {\em LU} factorization, it
                 is shown that fixed precision iterative refinement
                 helps to mitigate the effect of the larger error
                 constants. Despite the positive results presented here,
                 not all plausible block algorithms are stable; we
                 illustrate this with the example of {\em LU}
                 factorization with block triangular factors and
                 describe how to check a block algorithm for stability
                 without doing a full error analysis.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  keywords =     "algorithms; performance",
  subject =      "{\bf G.1.3}: Mathematics of Computing, NUMERICAL
                 ANALYSIS, Numerical Linear Algebra. {\bf F.2.1}: Theory
                 of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY, Numerical Algorithms and Problems,
                 Computations on matrices.",
}

@InProceedings{Dongarra:1992:AAC,
  author =       "Jack J. Dongarra and Iain S. Duff",
  title =        "Advanced architecture computers",
  crossref =     "Adeli:1992:SEA",
  pages =        "19--62",
  year =         "1992",
  bibdate =      "Fri Nov 11 17:48:17 MST 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Duff:1992:CSE,
  author =       "Iain S. Duff and Jennifer A. Scott",
  editor =       "????",
  booktitle =    "{ERCIM workshop on Numerical Linear Algebra, Software
                 Quality Principles and Techniques, Theoretical and
                 Experimental Aspects of Knowledge Representation, Pisa,
                 Italy, May 21--22, 1992}",
  title =        "Computing selected eigenvalues of sparse unsymmetric
                 matrices",
  publisher =    "ERCIM",
  address =      "????",
  pages =        "53--59",
  year =         "1992",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  xxbooktitle =  "Numerical Linear Algebra. ERCIM Workshop Reports.
                 Pisa, May 21--22",
  xxnote =       "Were these proceedings published?? Cannot find them in
                 major library catalogs.",
}

@TechReport{Duff:1992:PUL,
  author =       "Iain S. Duff and Michele Marrone and Giuseppi
                 Radicati",
  title =        "A proposal for user level sparse {BLAS}: {Sparker}
                 working note no. 1",
  type =         "Report",
  number =       "RAL-92-087 and TR-PA-92-85",
  institution =  inst-RAL # " and " # inst-CERFACS,
  address =      inst-RAL:adr # " and " # inst-CERFACS:adr,
  pages =        "????",
  month =        "????",
  year =         "1992",
  bibdate =      "Tue Jan 03 08:42:58 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Duff:1992:SLS,
  author =       "Iain S. Duff",
  title =        "The solution of large sparse unstructured unsymmetric
                 systems on modern computers",
  crossref =     "Depeyre:1992:PES",
  pages =        "83",
  year =         "1992",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1992:UGH,
  author =       "Iain S. Duff and Roger G. Grimes and John G. Lewis",
  title =        "Users' Guide for the {Harwell--Boeing Sparse Matrix
                 Collection} ({Release I})",
  type =         "Report",
  number =       "RAL 92-086 and TR/PA/92/86",
  institution =  inst-RAL # " and " # inst-CERFACS,
  address =      inst-RAL:adr # " and " # inst-CERFACS:adr,
  pages =        "84",
  month =        dec,
  year =         "1992",
  bibdate =      "Mon Jan 02 10:34:05 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  keywords =     "sparse",
}

@Article{Amestoy:1993:LAC,
  author =       "P. R. Amestoy and M. J. Dayd{\'e} and I. S. Duff and
                 P. Mor{\`e}re",
  title =        "Linear algebra calculations on a virtual shared memory
                 computer",
  journal =      j-INT-J-HIGH-SPEED-COMPUTING,
  volume =       "7",
  number =       "1",
  pages =        "21--43",
  year =         "1993",
  CODEN =        "IHSCEZ",
  DOI =          "https://doi.org/10.1142/S0129053395000038",
  ISSN =         "0129-0533",
  bibdate =      "Sat Dec 31 14:13:59 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal of High Speed Computing",
  journal-URL =  "http://www.worldscientific.com/worldscinet/ijhsc",
}

@Article{Amestoy:1993:MMI,
  author =       "Patrick R. Amestoy and Iain S. Duff",
  title =        "Memory management issues in sparse multifrontal
                 methods on multiprocessors",
  journal =      j-IJSA,
  volume =       "7",
  number =       "1",
  pages =        "64--82",
  year =         "1993",
  CODEN =        "IJSAE9",
  DOI =          "https://doi.org/10.1177/109434209300700105",
  ISSN =         "0890-2720",
  bibdate =      "Tue Sep 3 13:05:40 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal of Supercomputer Applications",
  journal-URL =  "http://hpc.sagepub.com/content/by/year",
}

@InProceedings{Amestoy:1993:PSS,
  author =       "P. R. Amestoy and M. Dayd{\'e} and Iain S. Duff",
  booktitle =    "{Journ{\'e}es du site exp{\'e}rimental en
                 hyperparall{\`e}lisme, 27--28 janvier, ETCA, Paris}",
  title =        "Parallel solution of sparse linear systems using the
                 multifrontal method",
  publisher =    "CREA",
  address =      "Paris, France",
  pages =        "226--257",
  year =         "1993",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Arioli:1993:CSD,
  author =       "M. Arioli and T. F. Chan and Iain S. Duff and N. I. M.
                 Gould and J. K. Reid",
  title =        "Computing a search direction for large-scale
                 linearly-constrained nonlinear optimization
                 calculations",
  type =         "Report",
  number =       "RAL-93-066 and TR-PA-93-34",
  institution =  inst-RAL # " and " # inst-CERFACS,
  address =      inst-RAL:adr # " and " # inst-CERFACS:adr,
  pages =        "????",
  year =         "1993",
  bibdate =      "Tue Jan 03 08:33:41 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Davis:1993:UPM,
  author =       "Timothy A. Davis and Iain S. Duff",
  title =        "An unsymmetric-pattern multifrontal method for sparse
                 {LU} factorization",
  type =         "Report",
  number =       "RAL-93-036",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1993",
  bibdate =      "Tue Jan 03 08:34:40 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Dayde:1993:EDV,
  author =       "M. J. Dayd{\'e} and Iain S. Duff and J. Y. L'Excellent
                 and L. Giraud",
  title =        "Evaluation d'ordinateurs vectoriels et parall{\`e}les
                 sur un jeu de programmes repr{\'e}sentatifs des calculs
                 intensifs {\`a} la division avions de
                 l'{A{\'e}rospatiale}: Rapport final. ({French})
                 [{Evaluation} of vector and parallel computers in a
                 programming game representative of
                 numerically-intensive calculations in the airplane
                 division of l'{A{\'e}rospatiale}: Final Report]",
  number =       "FR/PA/93/19",
  institution =  inst-CERFACS,
  address =      inst-CERFACS:adr,
  year =         "1993",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  language =     "French",
}

@TechReport{Dayde:1993:PBI,
  author =       "Michel J. Dayd{\'e} and Iain S. Duff and Antoine
                 Petitet",
  title =        "A parallel block implementation of {Level 3 BLAS} for
                 {MIMD} vector processors",
  type =         "Report",
  number =       "RAL-93-037",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1993",
  bibdate =      "Tue Jan 03 08:35:20 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Drummond:1993:PDI,
  author =       "L. A. Drummond and I. S. Duff and D. Ruiz",
  title =        "A parallel distributed implementation of the block
                 conjugate gradient algorithm",
  type =         "Report",
  number =       "TR/PA/93/02",
  institution =  inst-CERFACS,
  address =      inst-CERFACS:adr,
  pages =        "????",
  month =        "????",
  year =         "1993",
  bibdate =      "Mon Jan 02 10:20:39 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1993:CSE,
  author =       "Iain S. Duff and J. A. Scott",
  title =        "Computing Selected Eigenvalues of Sparse Unsymmetric
                 Matrices Using Subspace Iteration",
  journal =      j-TOMS,
  volume =       "19",
  number =       "2",
  pages =        "137--159",
  month =        jun,
  year =         "1993",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/152613.152614",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Tue Nov 14 09:56:28 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  note =         "See \cite{Duff:1995:CCS}.",
  URL =          "http://www.acm.org/pubs/toc/Abstracts/0098-3500/152614.html",
  abstract =     "This paper discusses the design and development of a
                 code to calculate the eigenvalues of a large sparse
                 real unsymmetric matrix that are the rightmost,
                 leftmost, or are of the largest modulus. A subspace
                 iteration algorithm is used to compute a sequence of
                 sets of vectors that converge to an orthonormal basis
                 for the invariant subspace corresponding to the
                 required eigenvalues. This algorithm is combined with
                 Chebychev acceleration if the rightmost or leftmost
                 eigenvalues are sought, or if the eigenvalues of
                 largest modulus are known to be the rightmost or
                 leftmost eigenvalues. An option exists for computing
                 the corresponding eigenvectors. The code does not need
                 the matrix explicitly since it only requires the user
                 to multiply sets of vectors by the matrix.
                 Sophisticated and novel iteration controls, stopping
                 criteria, and restart facilities are provided. The code
                 is shown to be efficient and competitive on a range of
                 test problems.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  keywords =     "algorithms; design",
  subject =      "{\bf G.1.3}: Mathematics of Computing, NUMERICAL
                 ANALYSIS, Numerical Linear Algebra, Eigenvalues. {\bf
                 G.4}: Mathematics of Computing, MATHEMATICAL SOFTWARE,
                 Algorithm analysis.",
}

@Article{Duff:1993:ELF,
  author =       "I. S. Duff and G. A. Watson and others",
  title =        "Editorial: {Leslie Fox}, 1918--1992",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "13",
  number =       "1",
  pages =        "i--ii",
  year =         "1993",
  CODEN =        "IJNADH",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  MRclass =      "01A70",
  MRnumber =     "1 199 025",
  bibdate =      "Sat Dec 23 17:06:35 MST 2000",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 MathSciNet database",
  acknowledgement = ack-nhfb,
  fjournal =     "IMA Journal of Numerical Analysis",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
}

@InProceedings{Duff:1993:EPD,
  author =       "Iain S. Duff",
  title =        "Exploitation of parallelism in direct and semi-direct
                 solution of large sparse systems",
  crossref =     "Fincham:1993:PCB",
  pages =        "159--174",
  year =         "1993",
  bibdate =      "Fri Nov 11 17:48:17 MST 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  keywords =     "multifrontal, block iterative",
}

@TechReport{Duff:1993:MFC,
  author =       "Iain S. Duff and J. K. Reid",
  title =        "{MA48}, a {Fortran} code for direct solution of sparse
                 unsymmetric linear systems of equations",
  number =       "RAL 93-072",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  year =         "1993",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1993:MNF,
  author =       "Iain S. Duff and J. A. Scott",
  title =        "{MA42} --- {A} new frontal code for solving sparse
                 unsymmetric systems",
  number =       "RAL 93-064",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  year =         "1993",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1993:SAS,
  author =       "Iain S. Duff",
  title =        "The solution of augmented systems",
  type =         "Report",
  number =       "RAL-93-084",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1993",
  bibdate =      "Tue Jan 03 08:38:31 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Amestoy:1994:DNC,
  author =       "P. R. Amestoy and M. J. Dayd{\'e} and Iain S. Duff",
  title =        "{D}{\'e}veloppement de noyaux de calcul et portage de
                 codes sur calculateurs parall{\`e}les: l'exp{\'e}rience
                 {CERFACS-ENSEEIHT}. ({French}) [Development of
                 computational kernels and porting code to parallel
                 computers: the {CERFACS-ENSEEIHT} experience ]",
  number =       "RT/APO/94/2",
  institution =  "D{\'e}partement Informatique N7 --- IRIT",
  address =      "Toulouse, France",
  year =         "1994",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  language =     "French",
}

@TechReport{Amestoy:1994:MFM,
  author =       "P. R. Amestoy and Iain S. Duff and C. Puglisi",
  title =        "Multifrontal $ \bf {QR} $ factorization in a
                 multiprocessor environment",
  type =         "Tech. Rep.",
  number =       "TR/PA/94/09",
  institution =  inst-CERFACS,
  address =      inst-CERFACS:adr,
  year =         "1994",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Amestoy:1994:MPP,
  author =       "P. R. Amestoy and Iain S. Duff",
  title =        "{MUPS}: a parallel package for solving sparse
                 unsymmetric sets of linear equations",
  number =       "(to appear)",
  institution =  inst-CERFACS,
  address =      inst-CERFACS:adr,
  year =         "1994",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Amestoy:1994:PAS,
  author =       "Patrick R. Amestoy and Michel J. Dayd{\'e} and Iain S.
                 Duff and Jean-Yves L'Excellent and Nick Gould and
                 Chiara Puglisi",
  title =        "Parallel algorithms for structured systems of linear
                 equations",
  crossref =     "Ames:1994:IPI",
  pages =        "1058--1061",
  year =         "1994",
  bibdate =      "Tue Jan 03 06:42:26 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Bouaricha:1994:ESA,
  author =       "A. Bouaricha and Iain S. Duff and N. I. M. Gould",
  title =        "Experiments in solving augmented systems",
  number =       "(to appear)",
  institution =  inst-CERFACS,
  address =      inst-CERFACS:adr,
  year =         "1994",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Davis:1994:UPM,
  author =       "Timothy A. Davis and Iain S. Duff",
  title =        "An unsymmetric-pattern multifrontal method for sparse
                 {{\boldmath $ L U $}} factorization",
  type =         "Report",
  number =       "TR-94-038",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1994",
  bibdate =      "Tue Jan 03 08:30:30 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Dayde:1994:CE,
  author =       "M. J. Dayd{\'e} and I. S. Duff",
  title =        "The {CERFACS} Experience",
  crossref =     "Dongarra:1994:PSC",
  pages =        "169--176",
  year =         "1994",
  DOI =          "https://doi.org/10.1007/BFb0030145",
  bibdate =      "Tue Sep 3 12:52:10 MDT 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Dayde:1994:PBI,
  author =       "Michael J. Dayd{\'e} and Iain S. Duff and Antoine
                 Petitet",
  title =        "A Parallel Block Implementation of {Level-3 BLAS} for
                 {MIMD} Vector Processors",
  journal =      j-TOMS,
  volume =       "20",
  number =       "2",
  pages =        "178--193",
  month =        jun,
  year =         "1994",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/178365.174413",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Fri Sep 09 13:52:29 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  note =         "See
                 \cite{Dongarra:1990:ASL,Higham:1990:EFM,Demmel:1992:SBA}.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  keywords =     "algorithms; Level-3 BLAS; matrix-matrix kernels;
                 measurement; parallelization; performance;
                 vectorization",
  subject =      "F.2.1 [Analysis of Algorithms and Problem Complexity]:
                 Numerical Algorithms and Problems--computations on
                 matrices; G.1.0 [Numerical Analysis]:
                 General--numerical algorithms; G.1.3 [Numerical
                 Analysis]: Numerical Linear Algebra--linear systems
                 (direct and iterative methods); G.4 [Mathematics of
                 Computing]: Mathematical Software--certification and
                 testing; efficiency; portability; reliability and
                 robustness; verification",
}

@TechReport{Dayde:1994:PIC,
  author =       "M. J. Dayd{\'e} and Iain S. Duff",
  title =        "Porting industrial codes and developing sparse linear
                 solvers on parallel computers",
  number =       "RAL 94-019 and C93-09-29.2",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  year =         "1994",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  notes =        "Also CERFACS Report TR/PA/94/01",
}

@TechReport{Dongarra:1994:AAC,
  author =       "J. J. Dongarra and Iain S. Duff",
  title =        "Advanced architecture computers",
  number =       "CS-89-90",
  institution =  "University of Tennessee",
  address =      "Knoxville, TN, USA",
  year =         "1994",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  note =         "Revision of 1987 Report AERE R12415, HMSO, London. An
                 earlier version appeared in Federal Supercomputer
                 Programs and Policies, US Government Printing Office,
                 Washington DC, 710--799.",
  acknowledgement = ack-nhfb,
}

@TechReport{Drummond:1994:PDI,
  author =       "L. A. Drummond and Iain S. Duff and D. Ruiz",
  title =        "A parallel distributed implementation of the block
                 conjugate gradient algorithm",
  number =       "(to appear)",
  institution =  inst-CERFACS,
  address =      inst-CERFACS:adr,
  year =         "1994",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1994:ESA,
  author =       "Iain S. Duff and N. I. M. Gould and J. Patricio",
  title =        "Experiments in scaling augmented systems",
  number =       "(to appear)",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  year =         "1994",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1994:MFC,
  author =       "Iain S. Duff and J. K. Reid",
  title =        "{MA47}, a {Fortran} code for direct solution of sparse
                 symmetric indefinite structured systems of linear
                 equations",
  number =       "(to appear)",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  year =         "1994",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1994:NAG,
  author =       "Iain S. Duff",
  title =        "{Numerical Analysis Group. Progress Report. January
                 1991--December 1993}",
  type =         "Report",
  number =       "RAL 94-062",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  year =         "1994",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Duff:1994:RFM,
  author =       "Iain S. Duff",
  title =        "A review of frontal methods for solving linear
                 system",
  crossref =     "Lewis:1994:PFS",
  pages =        "135--139",
  year =         "1994",
  bibdate =      "Fri Nov 11 17:48:17 MST 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  keywords =     "sparse, frontal, multifrontal",
}

@InProceedings{Duff:1994:SAS,
  author =       "Iain S. Duff",
  title =        "The solution of augmented systems",
  crossref =     "Griffiths:1994:NAP",
  pages =        "40--55",
  year =         "1994",
  bibdate =      "Fri Nov 11 17:48:17 MST 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  keywords =     "sparse indefinite systems, multifrontal, constrained
                 optimization",
}

@InProceedings{Duff:1994:SSE,
  author =       "Iain S. Duff",
  title =        "The solution of sparse equations on high performance
                 computers",
  crossref =     "Natori:1994:MAP",
  pages =        "1--13",
  year =         "1994",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1994:UMFa,
  author =       "I. S. Duff and J. A. Scott",
  title =        "The Use of multiple fronts in {Gaussian} elimination",
  type =         "Report",
  number =       "RAL-94-040",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1994",
  bibdate =      "Tue Jan 03 08:31:52 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Duff:1994:UMFb,
  author =       "Iain S. Duff and Jennifer A. Scott",
  title =        "The use of multiple fronts in {Gaussian} elimination",
  crossref =     "Lewis:1994:PFS",
  pages =        "567--571",
  year =         "1994",
  bibdate =      "Fri Nov 11 17:48:17 MST 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Amestoy:1995:AMD,
  author =       "Patrick R. Amestoy and Timothy A. Davis and Iain S.
                 Duff",
  title =        "An approximate minimum degree ordering algorithm",
  type =         "Report",
  number =       "TR/PA/95/09 and TR-94-039",
  institution =  inst-CERFACS,
  address =      inst-CERFACS:adr,
  pages =        "????",
  year =         "1995",
  bibdate =      "Tue Jan 03 08:22:25 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Amestoy:1995:LAC,
  author =       "P. R. Amestoy and I. S. Duff and M. J. Dayd{\'e} and
                 P. Morere",
  title =        "Linear Algebra Calculations on a Virtual Shared Memory
                 Computer",
  journal =      j-INT-J-HIGH-SPEED-COMPUTING,
  volume =       "7",
  number =       "1",
  pages =        "21--43",
  month =        "????",
  year =         "1995",
  CODEN =        "IHSCEZ",
  DOI =          "https://doi.org/10.1142/S0129053395000038",
  ISSN =         "0129-0533",
  bibdate =      "Tue Sep 3 12:52:10 MDT 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal of High Speed Computing",
  journal-URL =  "http://www.worldscientific.com/worldscinet/ijhsc",
}

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

@InProceedings{Arioli:1995:PBI,
  author =       "M. Arioli and A. Drummond and I. S. Duff and D. Ruiz",
  title =        "Parallel block iterative solvers for heterogeneous
                 computing environments",
  crossref =     "Moonen:1995:APV",
  pages =        "97--108",
  year =         "1995",
  bibdate =      "Tue Sep 3 12:52:10 MDT 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Arioli:1995:PSBa,
  author =       "Mario Arioli and A. Drummond and Iain S. Duff and
                 Daniel Ruiz",
  title =        "A parallel scheduler for block iterative solvers in
                 heterogeneous computing environments",
  type =         "Report",
  number =       "TR/PA/94/15",
  institution =  inst-CERFACS,
  address =      inst-CERFACS:adr,
  pages =        "????",
  year =         "1995",
  bibdate =      "Tue Jan 03 08:29:42 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Arioli:1995:PSBb,
  author =       "M. Arioli and A. Drummond and I. S. Duff and D. Ruiz",
  title =        "A Parallel Scheduler for Block Iterative Solvers in
                 Heterogeneous Computing Environments",
  crossref =     "Bailey:1995:PSS",
  pages =        "460--465",
  year =         "1995",
  bibdate =      "Tue Sep 3 12:52:10 MDT 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Carvalho:1995:LAK,
  author =       "L. Carvalho and I. S. Duff and L. Giraud",
  title =        "Linear algebra kernels for parallel domain
                 decomposition methods",
  type =         "Report",
  number =       "TR/PA/95/26",
  institution =  inst-CERFACS,
  address =      inst-CERFACS:adr,
  pages =        "????",
  year =         "1995",
  bibdate =      "Tue Jan 03 08:24:32 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Davis:1995:CUM,
  author =       "Timothy A. Davis and Iain S. Duff",
  title =        "A combined unifrontal\slash multifrontal method for
                 unsymmetric sparse matrices",
  type =         "Report",
  number =       "TR-95-020",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1995",
  bibdate =      "Tue Jan 03 08:25:05 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Dayde:1995:PIC,
  author =       "M. J. Dayd{\'e} and I. S. Duff",
  title =        "Porting industrial codes and developing sparse linear
                 solvers on parallel computers",
  crossref =     "DAlmeida:1995:VPP",
  pages =        "295--305",
  year =         "1995",
  DOI =          "https://doi.org/10.1016/0956-0521(95)00033-X",
  bibdate =      "Tue Sep 3 12:52:10 MDT 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1995:CCS,
  author =       "Iain S. Duff and Jennifer A. Scott",
  title =        "Corrigendum: Computing Selected Eigenvalues of Sparse
                 Unsymmetric Matrices Using Subspace Iteration",
  journal =      j-TOMS,
  volume =       "21",
  number =       "4",
  pages =        "490--490",
  month =        dec,
  year =         "1995",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/212066.215254",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Tue Nov 14 09:57:46 1995",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  note =         "See \cite{Duff:1993:CSE}.",
  acknowledgement = ack-rfb,
  fjournal =     "ACM Transactions on Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
}

@TechReport{Duff:1995:EZD,
  author =       "Iain S. Duff and John K. Reid",
  title =        "Exploiting zeros on the diagonal in the direct
                 solution of indefinite sparse symmetric linear
                 systems",
  type =         "Report",
  number =       "RAL-TR-95-040",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1995",
  bibdate =      "Tue Jan 03 08:26:44 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1995:MFC,
  author =       "Iain S. Duff and John K. Reid",
  title =        "{MA47}, a {Fortran} Code for Direct Solution of
                 Indefinite Sparse Symmetric Linear Systems",
  type =         "Report",
  number =       "RAL 95-001",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "63",
  month =        jan,
  year =         "1995",
  bibdate =      "Mon Jan 02 10:42:54 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1995:SLB,
  author =       "I. S. Duff and M. Marrone and G. Radicati and C.
                 Vittoli",
  title =        "A set of {Level 3 Basic Linear Algebra Subprograms}
                 for sparse matrices",
  type =         "Report",
  number =       "RAL-TR-95-049",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  month =        "????",
  year =         "1995",
  bibdate =      "Mon Jan 02 10:37:56 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Reid:1995:DMC,
  author =       "John K. Reid Iain S. Duff",
  title =        "The design of {MA48}, a code for the direct solution
                 of sparse unsymmetric linear systems of equations",
  type =         "Report",
  number =       "RAL-TR-95-039",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1995",
  bibdate =      "Tue Jan 03 08:27:24 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Amestoy:1996:AMD,
  author =       "Patrick R. Amestoy and Timothy A. Davis and Iain S.
                 Duff",
  title =        "An Approximate Minimum Degree Ordering Algorithm",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "17",
  number =       "4",
  pages =        "886--905",
  month =        oct,
  year =         "1996",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479894278952",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F50 (65F05)",
  MRnumber =     "MR1410707 (97g:65096)",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/17/4;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/27895",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Amestoy:1996:MFM,
  author =       "P. R. Amestoy and I. S. Duff and C. Puglisi",
  title =        "Multifrontal {$ Q R $} Factorization in a
                 Multiprocessor Environment",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "3",
  number =       "4",
  pages =        "275--300",
  month =        jul # "\slash " # aug,
  year =         "1996",
  CODEN =        "NLAAEM",
  DOI =          "https://doi.org/10.1002/(SICI)1099-1506(199607/08)3:4<275::AID-NLA83>3.3.CO;2-Z",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  MRclass =      "65F30 (15A23)",
  MRnumber =     "MR1399493",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 http://www3.interscience.wiley.com/journalfinder.html",
  URL =          "http://www3.interscience.wiley.com/cgi-bin/abstract?ID=15000995",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Linear Algebra with Applications",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
}

@TechReport{Amestoy:1996:MPP,
  author =       "Patrick R. Amestoy and Iain S. Duff",
  title =        "{MA41}: a parallel package for solving sparse
                 unsymmetric sets of linear equations",
  type =         "Report",
  number =       "",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1996",
  bibdate =      "Tue Jan 03 08:06:51 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  xxnote =       "Check: 1996 or 1997?? What report number??",
}

@TechReport{Cardenal:1996:PMS,
  author =       "Jes{\'u}s Cardenal and Iain S. Duff and Jos{\`e} M.
                 Jim{\'e}nez",
  title =        "A projection method for the solution of rectangular
                 systems",
  type =         "Report",
  number =       "RAL-TR-96-013",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  month =        "????",
  year =         "1996",
  bibdate =      "Mon Jan 02 10:08:46 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Cardenal:1996:SSQ,
  author =       "Jes{\'u}s Cardenal and Iain S. Duff and Jos{\`e} M.
                 Jim{\'e}nez",
  title =        "Solution of sparse quasi-square rectangular systems by
                 {Gaussian} elimination",
  type =         "Report",
  number =       "RAL-TR-96-013 (Revised)",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1996",
  bibdate =      "Tue Jan 03 08:07:51 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Carvalho:1996:LAK,
  author =       "L. Carvalho and I. S. Duff and L. Giraud",
  title =        "Linear algebra kernels for parallel domain
                 decomposition methods",
  crossref =     "Papadrakakis:1996:ACM",
  pages =        "1--17",
  year =         "1996",
  bibdate =      "Mon Jan 02 09:27:18 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Book{Chaitin-Chatelin:1996:LFP,
  author =       "Fran{\c{c}}oise Chaitin-Chatelin and Val{\'e}rie
                 Frayss{\'e}",
  title =        "Lectures on finite precision computations",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xvi + 235",
  year =         "1996",
  ISBN =         "0-89871-358-7",
  ISBN-13 =      "978-0-89871-358-9",
  LCCN =         "QA297.C417; QA297 .C417 1996",
  MRclass =      "65G05 (65-02 65F35)",
  MRnumber =     "MR1381897 (97b:65059)",
  MRreviewer =   "H. Ratschek",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 library.mit.edu:9909/mit01;
                 z3950.loc.gov:7090/Voyager",
  note =         "With a foreword by Iain S. Duff",
  series =       "Software, Environments, and Tools",
  acknowledgement = ack-nhfb,
  subject =      "Numerical calculations; Data processing; Error
                 analysis (Mathematics)",
}

@TechReport{Dayde:1996:BIL,
  author =       "M. Dayd{\'e} and I. S. Duff",
  title =        "A blocked implementation of {Level 3 BLAS} for {RISC}
                 processors",
  type =         "Report",
  number =       "RAL-TR-96-014",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  month =        "????",
  year =         "1996",
  bibdate =      "Mon Jan 02 10:13:12 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Dayde:1996:UCK,
  author =       "Michel J. Dayd{\`e} and Iain S. Duff",
  title =        "Use of computational kernels in full and sparse linear
                 solvers, efficient code design on high-performance
                 {RISC} processors",
  type =         "Report",
  number =       "TR-PA-96-47",
  institution =  inst-CERFACS,
  address =      inst-CERFACS:adr,
  pages =        "????",
  year =         "1996",
  bibdate =      "Tue Jan 03 08:19:28 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1996:CFS,
  author =       "Iain S. Duff and Jennifer A. Scott",
  title =        "A comparison of frontal software with other {Harwell
                 Subroutine Library} sparse direct solvers",
  type =         "Report",
  number =       "RAL-TR-96-102",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1996",
  bibdate =      "Tue Jan 03 08:13:32 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1996:DMC,
  author =       "I. S. Duff and J. K. Reid",
  title =        "The design of {MA48}: a code for the direct solution
                 of sparse unsymmetric linear systems of equations",
  journal =      j-TOMS,
  volume =       "22",
  number =       "2",
  pages =        "187--226",
  month =        jun,
  year =         "1996",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/229473.229476",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Sat Aug 31 16:07:02 MDT 1996",
  bibsource =    "http://www.acm.org/pubs/toc/;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://www.acm.org/pubs/toc/Abstracts/0098-3500/229476.html",
  abstract =     "We describe the design of a new code for the direct
                 solution of sparse unsymmetric linear systems of
                 equations. The new code utilizes a novel restructuring
                 of the symbolic and numerical phases, which increases
                 speed and saves storage without sacrifice of numerical
                 stability. Other features include switching to
                 full-matrix processing in all phases of the computation
                 enabling the use of all three levels of BLAS, treatment
                 of rectangular or rank-deficient matrices, partial
                 factorization, and integrated facilities for iterative
                 refinement and error estimation.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  keywords =     "algorithms; performance",
  subject =      "{\bf G.1.3}: Mathematics of Computing, NUMERICAL
                 ANALYSIS, Numerical Linear Algebra, Linear systems
                 (direct and iterative methods). {\bf G.1.3}:
                 Mathematics of Computing, NUMERICAL ANALYSIS, Numerical
                 Linear Algebra, Sparse and very large systems.",
}

@Article{Duff:1996:DNF,
  author =       "I. S. Duff and J. A. Scott",
  title =        "The design of a new frontal code for solving sparse,
                 unsymmetric systems",
  journal =      j-TOMS,
  volume =       "22",
  number =       "1",
  pages =        "30--45",
  month =        mar,
  year =         "1996",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/225545.225550",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65-04 (65F50)",
  MRnumber =     "MR1383184",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "http://www.acm.org/pubs/toc/;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://www.acm.org/pubs/toc/Abstracts/0098-3500/225550.html",
  abstract =     "We describe the design, implementation, and
                 performance of a frontal code for the solution of
                 large, sparse, unsymmetric systems of linear equations.
                 The resulting software package, MA42, is included in
                 Release 11 of the Harwell Subroutine Library and is
                 intended to supersede the earlier MA32 package. We
                 discuss in detail the extensive use of higher-level
                 BLAS kernels within MA42 and illustrate the performance
                 on a range of practical problems on a CRAY Y-MP, an IBM
                 3090, and an IBM RISC System/6000. We examine extending
                 the frontal solution scheme to use multiple fronts to
                 allow MA42 to be run in parallel. We indicate some
                 directions for future development.",
  acknowledgement = ack-nhfb,
  fjournal =     "Association for Computing Machinery. Transactions on
                 Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  keywords =     "algorithms",
  subject =      "{\bf G.1.3}: Mathematics of Computing, NUMERICAL
                 ANALYSIS, Numerical Linear Algebra. {\bf G.1.0}:
                 Mathematics of Computing, NUMERICAL ANALYSIS, General,
                 Numerical algorithms. {\bf G.4}: Mathematics of
                 Computing, MATHEMATICAL SOFTWARE.",
}

@Article{Duff:1996:EZD,
  author =       "I. S. Duff and J. K. Reid",
  title =        "Exploiting zeros on the diagonal in the direct
                 solution of indefinite sparse symmetric linear
                 systems",
  journal =      j-TOMS,
  volume =       "22",
  number =       "2",
  pages =        "227--257",
  month =        jun,
  year =         "1996",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/229473.229480",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65F50",
  MRnumber =     "MR1408491 (97c:65085)",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "http://www.acm.org/pubs/toc/;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://www.acm.org/pubs/toc/Abstracts/0098-3500/229480.html",
  abstract =     "We describe the design of a new code for the solution
                 of sparse indefinite symmetric linear systems of
                 equations. The principal difference between this new
                 code and earlier work lies in the exploitation of the
                 additional sparsity available when the matrix has a
                 significant number of zero diagonal entries. Other new
                 features have been included to enhance the execution
                 speed, particularly on vector and parallel machines.",
  acknowledgement = ack-nhfb,
  fjournal =     "Association for Computing Machinery. Transactions on
                 Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  keywords =     "algorithms; performance",
  subject =      "{\bf G.1.3}: Mathematics of Computing, NUMERICAL
                 ANALYSIS, Numerical Linear Algebra, Linear systems
                 (direct and iterative methods). {\bf G.1.3}:
                 Mathematics of Computing, NUMERICAL ANALYSIS, Numerical
                 Linear Algebra, Sparse and very large systems.",
}

@Article{Duff:1996:FSS,
  author =       "I. S. Duff and J. A. Scott",
  title =        "Frontal Software for the Solution of Sparse Linear
                 Equations",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "1184",
  pages =        "227--238",
  year =         "1996",
  CODEN =        "LNCSD9",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  bibdate =      "Fri Aug 22 11:59:49 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Lecture Notes in Computer Science",
  journal-URL =  "http://link.springer.com/bookseries/558",
}

@TechReport{Duff:1996:NAG,
  author =       "I. S. Duff",
  title =        "{Numerical Analysis Group. Progress Report. January
                 1994--December 1995}",
  type =         "Report",
  number =       "RAL-TR-96-015",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  month =        "????",
  year =         "1996",
  bibdate =      "Mon Jan 02 10:28:35 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1996:RFM,
  author =       "Iain S. Duff",
  title =        "A review of frontal methods for solving linear
                 systems",
  journal =      j-COMP-PHYS-COMM,
  volume =       "97",
  number =       "1--2",
  pages =        "45--52",
  month =        "????",
  year =         "1996",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(96)00020-3",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  MRclass =      "65F50",
  MRnumber =     "MR1408292 (97g:65100)",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications. An International
                 Journal and Program Library for Computational Physics
                 and Physical Chemistry",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}

@TechReport{Duff:1996:SNL,
  author =       "Iain S. Duff",
  title =        "Sparse numerical linear algebra: Direct methods and
                 preconditioning",
  type =         "Report",
  number =       "RAL 96-047",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1996",
  bibdate =      "Tue Jan 03 08:20:49 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1996:U,
  author =       "I. S. Duff and Ga Watson",
  title =        "Untitled",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "16",
  number =       "1",
  pages =        "U1--U1",
  month =        "????",
  year =         "1996",
  CODEN =        "IJNADH",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  bibdate =      "Tue Jun 4 09:26:54 MDT 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "IMA Journal of Numerical Analysis",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
}

@InProceedings{Amestoy:1997:EPO,
  author =       "P. R. Amestoy and M. Dayd{\'e} and I. S. Duff",
  editor =       "????",
  booktitle =    "Proceedings of ISYPAR 97",
  title =        "Evaluation de performance et optimisation de code dans
                 le domaine du calcul num{\'e}rique intensif. ({French})
                 {Performance} evaluation and optimization of code in
                 numerically-intensive computing",
  publisher =    inst-IRIT,
  address =      inst-IRIT:adr,
  pages =        "6",
  year =         "1997",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Mon Jan 02 08:53:21 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  language =     "French",
}

@TechReport{Cliffe:1997:PIF,
  author =       "K. Andrew Cliffe and Iain S. Duff and Jennifer A.
                 Scott",
  title =        "Performance issues for frontal schemes on a cache
                 based high performance computer",
  type =         "Report",
  number =       "RAL-TR-97-001",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1997",
  bibdate =      "Tue Jan 03 08:09:00 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Colbrook:1997:EES,
  author =       "Adrian Colbrook and Iain Duff and Tony Hey and Klaus
                 St{\"u}ben and Clemens-August Thole",
  title =        "Editorial: {EUROPORT} Special Issue",
  journal =      j-IJSAHPC,
  volume =       "11",
  number =       "4",
  pages =        "275--276",
  month =        "Winter",
  year =         "1997",
  CODEN =        "IJSCFG",
  DOI =          "https://doi.org/10.1177/109434209701100401",
  ISSN =         "1078-3482",
  bibdate =      "Fri Aug 6 06:45:09 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  note =         "Reports on the EUROPORT Project to port 38
                 industrially relevant codes to parallel computers.",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal of Supercomputer Applications
                 and High Performance Computing",
  journal-URL =  "http://hpc.sagepub.com/content/by/year",
}

@Article{Colbrook:1997:ESI,
  author =       "A. Colbrook and I. Duff and T. Hey and K. St{\"u}ben
                 and C-A. Thole",
  title =        "{EUROPORT} Special Issue",
  journal =      j-IJSA,
  volume =       "11",
  number =       "4",
  pages =        "??--??",
  month =        "????",
  year =         "1997",
  CODEN =        "IJSAE9",
  ISSN =         "0890-2720",
  bibdate =      "Mon Jan 02 09:51:38 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal of Supercomputer Applications",
  journal-URL =  "http://hpc.sagepub.com/content/by/year",
}

@TechReport{Davis:1997:CUM,
  author =       "Timothy A. Davis and Iain S. Duff",
  title =        "A combined unifrontal\slash multifrontal method for
                 unsymmetric sparse matrices",
  type =         "Report",
  number =       "RAL-TR-97-046 and TR/PA/97/34",
  institution =  inst-RAL # " and " # inst-CERFACS,
  address =      inst-RAL:adr # " and " # inst-CERFACS:adr,
  pages =        "19",
  month =        sep,
  year =         "1997",
  bibdate =      "Tue Jan 03 08:10:44 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Davis:1997:UPM,
  author =       "Timothy A. Davis and Iain S. Duff",
  title =        "An Unsymmetric-Pattern Multifrontal Method for Sparse
                 {$ L U $} Factorization",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "18",
  number =       "1",
  pages =        "140--158",
  month =        jan,
  year =         "1997",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479894246905",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F50 (65Y15)",
  MRnumber =     "MR1428205 (97i:65078)",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/18/1;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/24690",
  acknowledgement = ack-nhfb,
  classification = "B0290H (Linear algebra); C4140 (Linear algebra);
                 C6110P (Parallel programming)",
  corpsource =   "Dept. of Comput. and Inf. Sci., Florida Univ.,
                 Gainesville, FL, USA",
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
  keywords =     "dense matrix kernels; irregular memory access; matrix
                 algebra; matrix factorization; multifrontal method;
                 parallel algorithms; sparse LU factorization; sparse
                 matrices; symmetric problems",
  treatment =    "T Theoretical or Mathematical",
}

@TechReport{Dayde:1997:BIL,
  author =       "Michel J. Dayd{\`e} and Iain S. Duff",
  title =        "A blocked implementation of {Level 3 BLAS} for {RISC}
                 Processors (revised version)",
  type =         "Report",
  number =       "RT/APO/97/2",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1997",
  bibdate =      "Tue Jan 03 08:12:20 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Dayde:1997:UCK,
  author =       "M. J. Dayd{\'e} and I. S. Duff",
  title =        "The Use of Computational Kernels in Full and Sparse
                 Linear Solvers, Efficient Code Design on
                 High-Performance {RISC} Processors",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "1215",
  pages =        "108--139",
  year =         "1997",
  CODEN =        "LNCSD9",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  bibdate =      "Fri Aug 22 11:59:49 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Lecture Notes in Computer Science",
  journal-URL =  "http://link.springer.com/bookseries/558",
}

@TechReport{Duff:1997:CFS,
  author =       "Iain S. Duff and Jennifer A. Scott",
  title =        "A comparison of frontal software with other sparse
                 direct solvers",
  type =         "Report",
  number =       "RAL-TR-96-102",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1997",
  bibdate =      "Tue Jan 03 08:14:28 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1997:DML,
  author =       "I. S. Duff and N. I. M. Gould and C. C. Douglas and L.
                 Giraud",
  title =        "Direct Methods Linear Algebra in Optimization
                 Iterative Methods --- Proceedings from the
                 {International Linear Algebra Year Workshops ---
                 CERFACS, Toulouse, France --- September, 1995--June,
                 1996} --- Preface",
  journal =      j-BIT-NUM-MATH,
  volume =       "37",
  number =       "3",
  pages =        "R1--R2",
  month =        sep,
  year =         "1997",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/BF02510236",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  bibdate =      "Mon Jan 02 09:53:18 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  note =         "Proceedings from the International Linear Algebra Year
                 Workshops. September 1995--June 1996",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Book{Duff:1997:DMS,
  author =       "Iain S. Duff and A. M. (Albert Maurice) Erisman and
                 John Ker Reid",
  title =        "Direct methods for sparse matrices",
  publisher =    pub-CLARENDON,
  address =      pub-CLARENDON:adr,
  pages =        "xiv + 314",
  year =         "1997",
  ISBN =         "0-19-853421-3 (paperback)",
  ISBN-13 =      "978-0-19-853421-1 (paperback)",
  LCCN =         "M89.E02155; QA188",
  bibdate =      "Sat Dec 31 14:06:36 MST 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 library.ox.ac.uk:210/ADVANCE",
  note =         "Reprint of \cite{Duff:1989:DMS} with corrections",
  series =       "Numerical mathematics and scientific computation",
  acknowledgement = ack-nhfb,
  subject =      "Sparse matrices; Data processing",
}

@TechReport{Duff:1997:DUA,
  author =       "Iain S. Duff and Jacko Koster",
  title =        "The design and use of algorithms for permuting large
                 entries to the diagonal of sparse matrices",
  type =         "Report",
  number =       "RAL-TR-97-059",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1997",
  bibdate =      "Tue Jan 03 08:16:37 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1997:LBL,
  author =       "Iain S. Duff and Michele Marrone and Giuseppe Radicati
                 and Carlo Vittoli",
  title =        "{Level 3 Basic Linear Algebra Subprograms} for Sparse
                 Matrices: a User Level Interface",
  journal =      j-TOMS,
  volume =       "23",
  number =       "3",
  pages =        "379--401",
  month =        sep,
  year =         "1997",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/275323.275327",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65Y15",
  MRnumber =     "MR1672168",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://www.acm.org/pubs/citations/journals/toms/1997-23-3/p379-duff/",
  abstract =     "This article proposes a set of Level 3 Basic Linear
                 Algebra Subprograms and associated kernels for sparse
                 matrices. A major goal is to design and develop a
                 common framework to enable efficient, and portable,
                 implementations of iterative algorithms for sparse
                 matrices on high-performance computers. We have
                 designed the routines to shield the developer of
                 mathematical software from most of the complexities of
                 the various data structures used for sparse matrices.
                 We have kept the interface and suite of codes as simple
                 as possible while at the same time including sufficient
                 functionality to cover most sparse matrix data
                 structures. An important aspect of our framework is
                 that it can be easily extended to incorporate new
                 kernels if the need arises. We discuss the design,
                 implementation, and use of subprograms for the
                 multiplication of a full matrix by a sparse one and for
                 the solution of sparse triangular systems with one or
                 more (full) right-hand sides. We include a routine for
                 checking the input data, generating a new sparse data
                 structure from that input, and scaling a sparse matrix.
                 The new data structure for the transformation can be
                 specified by the user or can be chosen automatically by
                 vendors to be efficient on their machines. We also
                 include a routine for permuting the columns of a sparse
                 matrix and one for permuting the rows of a full
                 matrix.",
  accepted =     "March 1997",
  acknowledgement = ack-rfb # " and " # ack-kr # " and " # ack-nhfb,
  fjournal =     "Association for Computing Machinery. Transactions on
                 Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  keywords =     "algorithms, performance, reliability, high-performance
                 computing, iterative solution, programming standards,
                 sparse BLAS, sparse data structures, sparse matrices",
  subject =      "{\bf D.2.2}: Software, SOFTWARE ENGINEERING, Tools and
                 Techniques, user interfaces. {\bf D.2.2}: Software,
                 SOFTWARE ENGINEERING, Coding, standards. {\bf F.2.1}:
                 Theory of Computation, ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY, Numerical Algorithms and Problems,
                 Computations on matrices. {\bf G.4}: Mathematics of
                 Computing, MATHEMATICAL SOFTWARE, certification and
                 testing, efficiency, portability, reliability and
                 robustness, verification.",
}

@TechReport{Duff:1997:MFC,
  author =       "Iain S. Duff and Jennifer A. Scott",
  title =        "{MA62} --- {A} frontal code for sparse
                 positive-definite symmetric systems from finite-element
                 applications",
  type =         "Report",
  number =       "RAL-TR-97-012",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1997",
  bibdate =      "Tue Jan 03 08:15:36 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1997:RBS,
  author =       "Iain S. Duff and Roger G. Grimes and John G. Lewis",
  title =        "The {Rutherford--Boeing Sparse Matrix Collection}",
  type =         "Report",
  number =       "RAL-TR-97-031 and TR/PA/97/36",
  institution =  inst-RAL # " and " # inst-CERFACS,
  address =      inst-RAL:adr # " and " # inst-CERFACS:adr,
  pages =        "59",
  month =        aug,
  year =         "1997",
  bibdate =      "Mon Jan 02 10:35:26 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Duff:1997:SNL,
  author =       "I. S. Duff",
  title =        "Sparse Numerical Linear Algebra: Direct Methods and
                 Preconditioning",
  crossref =     "Duff:1997:SAN",
  pages =        "27--62",
  year =         "1997",
  MRclass =      "65F50 (15A12)",
  MRnumber =     "MR1628341",
  bibdate =      "Thu Sep 16 09:48:36 MDT 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Koster:1997:U,
  author =       "Iain S. Duff and Jacko Koster",
  title =        "Untitled",
  type =         "Report",
  number =       "TR/PA/97/45",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1997",
  bibdate =      "Tue Jan 03 08:13:02 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Amestoy:1998:MMM,
  author =       "P. R. Amestoy and I. S. Duff and J.-Y. L'Excellent",
  title =        "{MUMPS}: {MUltifrontal Massively Parallel Solver},
                 Version 2.0",
  type =         "Report",
  number =       "TR/PA/98/02",
  institution =  inst-CERFACS,
  address =      inst-CERFACS:adr,
  pages =        "????",
  year =         "1998",
  bibdate =      "Mon Jan 02 10:04:56 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Amestoy:1998:MPD,
  author =       "Patrick R. Amestoy and Iain S. Duff and Jean-Yves
                 L'Excellent",
  title =        "Multifrontal parallel distributed symmetric and
                 unsymmetric solvers",
  type =         "Report",
  number =       "RAL-TR-1998-051",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1998",
  bibdate =      "Tue Jan 03 07:54:53 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/154/raltr-1998051.pdf",
  acknowledgement = ack-nhfb,
}

@Article{Amestoy:1998:MSW,
  author =       "P. Amestoy and I. Duff and J.-Y. L'Excellent",
  title =        "Multifrontal Solvers Within the {PARASOL}
                 Environment",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "1541",
  pages =        "7--11",
  year =         "1998",
  CODEN =        "LNCSD9",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  bibdate =      "Wed Sep 15 10:01:31 MDT 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Lecture Notes in Computer Science",
  journal-URL =  "http://link.springer.com/bookseries/558",
  keywords =     "applied parallel computing; computing science; PARA;
                 parallel computing",
}

@Article{Amestoy:1998:PFL,
  author =       "P. R. Amestoy and I. S. Duff and J.-Y. L'Excellent",
  title =        "Parall{\`e}lisation de la factorisation {LU} de
                 matrices creuses non sym{\`e}triques pour des
                 architectures {\`a} m{\'e}moire distribu{\'e}e.
                 ({French}) [{Parallelization} of the {LU} factorization
                 of nonsymmetric sparse matrices for distributed-memory
                 architectures]",
  journal =      "Calculateurs Parall{\`e}les R{\'e}seaux et
                 syst{\`e}mes r{\'e}partis",
  volume =       "10",
  number =       "5",
  pages =        "509--520",
  month =        "????",
  year =         "1998",
  bibdate =      "Mon Jan 02 08:56:14 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  language =     "French",
}

@TechReport{Amestoy:1998:PIP,
  author =       "P. R. Amestoy and I. S. Duff and J-Y L'Excellent and
                 P. Plech{\'a}{\v{c}}",
  title =        "{PARASOL} --- An Integrated Programming Environment
                 for Parallel Sparse Matrix Solvers",
  type =         "Report",
  number =       "RAL-TR-1998-039",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1998",
  bibdate =      "Tue Jan 03 07:56:08 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/146/raltr-1998039.pdf",
  acknowledgement = ack-nhfb,
}

@Article{Cardenal:1998:SSQ,
  author =       "Jes{\'u}s Cardenal and Iain S. Duff and Jos{\'e} M.
                 Jim{\'e}nez",
  title =        "Solution of sparse quasi-square rectangular systems by
                 {Gaussian} elimination",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "18",
  number =       "2",
  pages =        "165--177",
  year =         "1998",
  CODEN =        "IJNADH",
  DOI =          "https://doi.org/10.1093/imanum/18.2.165",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  MRclass =      "65F50 (65F05)",
  MRnumber =     "MR1617348 (98m:65077)",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/;
                 MathSciNet database",
  URL =          "http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/180165.sgm.abs.html;
                 http://www3.oup.co.uk/imanum/hdb/Volume_18/Issue_02/pdf/180165.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "IMA Journal of Numerical Analysis",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
}

@Article{Cliffe:1998:PIF,
  author =       "K. A. Cliffe and I. S. Duff and J. A. Scott",
  title =        "Performance issues for frontal schemes on a
                 cache-based high-performance computer",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "42",
  number =       "1",
  pages =        "127--143",
  year =         "1998",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/(SICI)1097-0207(19980515)42:1<127::AID-NME357>3.0.CO;2-K",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  MRclass =      "65-04 (65F99)",
  MRnumber =     "MR1618018",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
}

@Book{Dongarra:1998:NLA,
  author =       "Jack J. Dongarra and Iain S. Duff and Danny C.
                 Sorensen and Henk A. {van der Vorst}",
  title =        "Numerical Linear Algebra for High-Performance
                 Computers",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xviii + 342",
  year =         "1998",
  ISBN =         "0-89871-428-1",
  ISBN-13 =      "978-0-89871-428-9",
  LCCN =         "????",
  MRclass =      "65-02 (65Fxx 65G50); 65-02 (65Fxx 65G05)",
  MRnumber =     "MR1654239 (2000a:65002)",
  MRreviewer =   "Zahari Zlatev",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  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/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 MathSciNet database",
  series =       "Software, Environments, and Tools",
  acknowledgement = ack-nhfb,
}

@InCollection{Duff:1998:CFS,
  author =       "Iain S. Duff and Jennifer A. Scott",
  title =        "A comparison of frontal software with other {Harwell
                 Subroutine Library} sparse direct solvers",
  crossref =     "Arbenz:1998:HPA",
  pages =        "1--25",
  year =         "1998",
  bibdate =      "Mon Jan 02 09:44:16 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1998:DM,
  author =       "I. S. Duff",
  title =        "Direct methods",
  type =         "Report",
  number =       "RAL-TR-1998-054 and TR/PA/98/28",
  institution =  inst-RAL # " and " # inst-CERFACS,
  address =      inst-RAL:adr # " and " # inst-CERFACS:adr,
  pages =        "????",
  month =        "????",
  year =         "1998",
  bibdate =      "Mon Jan 02 10:32:04 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/156/raltr-1998054.pdf",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1998:LLB,
  author =       "I. S. Duff and C. V{\"o}mel",
  title =        "{Level 2} and {Level 3 Basic Linear Algebra
                 Subprograms} for sparse matrices: a {Fortran 95}
                 instantiation",
  type =         "Report",
  number =       "TR/PA/00/18",
  institution =  inst-CERFACS,
  address =      inst-CERFACS:adr,
  pages =        "????",
  month =        "????",
  year =         "1998",
  bibdate =      "Mon Jan 02 10:47:50 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1998:NAG,
  author =       "I. S. Duff",
  title =        "{Numerical Analysis Group. Progress Report. January
                 1996--December 1997}",
  type =         "Report",
  number =       "RAL-TR-1998-028",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  month =        "????",
  year =         "1998",
  bibdate =      "Mon Jan 02 10:28:35 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/138/raltr-1998028.pdf",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1998:PPP,
  author =       "Iain S. Duff and Henk A. {van der Vorst}",
  title =        "Preconditioning and parallel preconditioning",
  type =         "Report",
  number =       "RAL-TR-1998-052 and TR/PA/98/23",
  institution =  inst-RAL # " and " # inst-CERFACS,
  address =      inst-RAL:adr # " and " # inst-CERFACS:adr,
  pages =        "????",
  month =        "????",
  year =         "1998",
  bibdate =      "Mon Jan 02 10:45:21 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/155/raltr-1998052.pdf",
  acknowledgement = ack-nhfb,
}

@TechReport{Amestoy:1999:FAM,
  author =       "Patrick R. Amestoy and Iain S. Duff and Jean-Yves
                 L'Excellent and Jacko Koster",
  title =        "A fully asynchronous multifrontal solver using
                 distributed dynamic scheduling",
  type =         "Report",
  number =       "RAL-TR-1999-059 and TR/PA/99/28 and RT/APO/99/02",
  institution =  inst-RAL # " and " # inst-CERFACS,
  address =      inst-RAL:adr # " and " # inst-CERFACS:adr,
  pages =        "????",
  year =         "1999",
  bibdate =      "Tue Jan 03 07:45:11 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/219/raltr-1999059.pdf",
  acknowledgement = ack-nhfb,
}

@InProceedings{Amestoy:1999:PIP,
  author =       "P. R. Amestoy and I. S. Duff and J.-Y. L'Excellent and
                 P. Plech{\'a}{\v{c}}",
  title =        "{PARASOL}. {An} Integrated Programming Environment for
                 Parallel Sparse Matrix Solvers",
  crossref =     "Allan:1999:HPC",
  pages =        "79--90",
  year =         "1999",
  bibdate =      "Mon Jan 02 09:17:58 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Bai:1999:CIO,
  author =       "Zhong-Zhi Bai and Iain S. Duff and Andrew J. Wathen",
  title =        "A Class of Incomplete Orthogonal Factorization Methods
                 {I}: Methods and Theories",
  type =         "Report",
  number =       "RAL-TR-1999-045",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1999",
  bibdate =      "Tue Jan 03 07:47:30 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Davis:1999:CUM,
  author =       "Timothy A. Davis and Iain S. Duff",
  title =        "A combined unifrontal\slash multifrontal method for
                 unsymmetric sparse matrices",
  journal =      j-TOMS,
  volume =       "25",
  number =       "1",
  pages =        "1--20",
  month =        mar,
  year =         "1999",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/305658.287640",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65F50",
  MRnumber =     "MR1697461",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "http://www.acm.org/pubs/contents/journals/toms/1999-25/;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://www.acm.org:80/pubs/citations/journals/toms/1999-25-1/p1-davis/",
  abstract =     "We discuss the organization of frontal matrices in
                 multifrontal methods for the solution of large sparse
                 sets of unsymmetric linear equations. In the
                 multifrontal method, work on a frontal matrix can be
                 suspended, the frontal matrix can be stored for later
                 reuse, and a new frontal matrix can be generated. There
                 are thus several frontal matrices stored during the
                 factorization, and one or more of these are assembled
                 (summed) when creating a new frontal matrix. Although
                 this means that arbitrary sparsity patterns can be
                 handled efficiently, extra work is required to sum the
                 frontal matrices together and can be costly because
                 indirect addressing is required. The (uni)frontal
                 method avoids this extra work by factorizing the matrix
                 with a single frontal matrix. Rows and columns are
                 added to the frontal matrix, and pivot rows and columns
                 are removed. Data movement is simpler, but higher
                 fill-in can result if the matrix cannot be permuted
                 into a variable-band form with small profile. We
                 consider a combined unifrontal/multifrontal algorithm
                 to enable general fill-in reduction orderings to be
                 applied without the data movement of previous
                 multifrontal approaches. We discuss this technique in
                 the context of a code designed for the solution of
                 sparse systems with unsymmetric pattern.",
  acknowledgement = ack-nhfb,
  fjournal =     "Association for Computing Machinery. Transactions on
                 Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  keywords =     "algorithms; experimentation; performance",
  subject =      "{\bf G.1.3} Mathematics of Computing, NUMERICAL
                 ANALYSIS, Numerical Linear Algebra, Linear systems
                 (direct and iterative methods). {\bf G.1.3} Mathematics
                 of Computing, NUMERICAL ANALYSIS, Numerical Linear
                 Algebra, Sparse, structured, and very large systems
                 (direct and iterative methods). {\bf G.4} Mathematics
                 of Computing, MATHEMATICAL SOFTWARE, Algorithm design
                 and analysis.",
}

@Article{Dayde:1999:RBB,
  author =       "Michel J. Dayd{\'e} and Iain S. Duff",
  title =        "The {RISC BLAS}: {A} Blocked Implementation of {Level
                 3 BLAS} for {RISC} Processors",
  journal =      j-TOMS,
  volume =       "25",
  number =       "3",
  pages =        "316--340",
  month =        sep,
  year =         "1999",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/326147.326150",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Tue Apr 4 16:36:33 MDT 2000",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://www.acm.org/pubs/articles/journals/toms/1999-25-3/p316-dayde/p316-dayde.pdf;
                 http://www.acm.org/pubs/citations/journals/toms/1999-25-3/p316-dayde/;
                 http://www.acm.org/pubs/citations/journals/toms/1999-25-3/p316-dayde/#abstract;
                 http://www.acm.org/pubs/citations/journals/toms/1999-25-3/p316-dayde/#indterms",
  abstract =     "We describe a version of the Level 3 BLAS which is
                 designed to be efficient on RISC processors. This is an
                 extension of previous studies by the authors and
                 colleagues on a similar approach for efficient serial
                 and parallel implementations on virtual-memory and
                 shared-memory multiprocessors. All our codes are
                 written in Fortran and use loop-unrolling, blocking,
                 and copying to improve the performance. A blocking
                 technique is used to express the BLAS in terms of
                 operations involving triangular blocks and calls to the
                 matrix-matrix multiplication kernel (GEMM). No
                 manufacturer-supplied or assembler code is used. This
                 blocked implementation uses the same blocking ideas as
                 in our implementation for vector machines except that
                 the ordering of loops is designed for efficient reuse
                 of date held in cache and not necessarily for
                 parallelization. All the codes are specifically tuned
                 for RISC processors. The software also includes a tuned
                 version of GEMM. A parameter which controls the
                 blocking allows efficient exploitation of the memory
                 hierarchy on the various target computers. We present
                 results on a range of RISC-based workstations and
                 multiprocessors: CRAY T3D, DEC 8400 5/300, HP 715/64,
                 IBM SP2, MEIKO CS2-HA, SGI Power Challenge 10000, and
                 SUN UltraSPARC-1 model 140. This implementation of the
                 Level 3 BLAS is available on anonymous FTP, and we
                 welcome input from users to improve and extend our BLAS
                 implementation.",
  accepted =     "April 1999",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  keywords =     "blocking; level 3 BLAS; loop-unrolling; matrix-matrix
                 kernels; RISC processors",
  subject =      "Mathematics of Computing --- Mathematical Software
                 (G.4); Theory of Computation --- Analysis of Algorithms
                 and Problem Complexity --- Numerical Algorithms and
                 Problems (F.2.1): Computations on matrices; Mathematics
                 of Computing --- Numerical Analysis --- General
                 (G.1.0): Numerical algorithms; Mathematics of Computing
                 --- Numerical Analysis --- Numerical Linear Algebra
                 (G.1.3): Linear systems (direct and iterative methods);
                 General Terms: Algorithms, Measurement, Performance",
}

@TechReport{Duff:1999:APL,
  author =       "Iain S. Duff and Jacko Koster",
  title =        "On algorithms for permuting large entries to the
                 diagonal of a sparse matrix",
  type =         "Report",
  number =       "RAL-TR-1999-030",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1999",
  bibdate =      "Tue Jan 03 07:52:26 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/202/raltr-1999030.pdf",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1999:BBRa,
  author =       "Iain S. Duff",
  title =        "A brief bibliography of recent research and software
                 for the parallel solution of large sparse linear
                 equations",
  type =         "Report",
  number =       "TR/PA/99/12",
  institution =  inst-CERFACS,
  address =      inst-CERFACS:adr,
  pages =        "????",
  year =         "1999",
  bibdate =      "Tue Jan 03 07:49:38 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Duff:1999:BBRb,
  author =       "I. S. Duff",
  title =        "A brief bibliography of recent research and software
                 for the parallel solution of large sparse linear
                 equations",
  crossref =     "Anonymous:1999:PCC",
  pages =        "43--46",
  year =         "1999",
  bibdate =      "Mon Jan 02 09:37:05 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:1999:DTPa,
  author =       "I. S. Duff and H. A. van der Vorst",
  title =        "Development and Trends in the Parallel Solution of
                 Linear Systems",
  type =         "Report",
  number =       "RAL-TR-1999-027",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "1999",
  bibdate =      "Tue Jan 03 07:50:42 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/199/raltr-1999027.pdf",
  acknowledgement = ack-nhfb,
}

@Article{Duff:1999:DTPb,
  author =       "Iain S. Duff and Henk A. {van der Vorst}",
  title =        "Developments and trends in the parallel solution of
                 linear systems",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "25",
  number =       "13--14",
  pages =        "1931--1970",
  month =        dec,
  year =         "1999",
  CODEN =        "PACOEJ",
  DOI =          "https://doi.org/10.1016/S0167-8191(99)00077-0",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  MRclass =      "65F10 (65F35 65Y05)",
  MRnumber =     "MR1727355 (2000h:65050)",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "http://www.elsevier.com/locate/issn/01678191;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  URL =          "http://www.elsevier.nl/gej-ng/10/35/21/32/36/39/abstract.html;
                 http://www.elsevier.nl/gej-ng/10/35/21/32/36/39/article.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Parallel Computing. Theory and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191",
}

@Article{Duff:1999:DUA,
  author =       "Iain S. Duff and Jacko Koster",
  title =        "The Design and Use of Algorithms for Permuting Large
                 Entries to the Diagonal of Sparse Matrices",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "20",
  number =       "4",
  pages =        "889--901 (electronic)",
  month =        oct,
  year =         "1999",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479897317661",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F05 (65F50)",
  MRnumber =     "MR1699785 (2000f:65021)",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/20/4;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  note =         "Sparse and structured matrices and their applications
                 (Coeur d'Alene, ID, 1996)",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/31766",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Duff:1999:FCS,
  author =       "Iain S. Duff and Jennifer A. Scott",
  title =        "A frontal code for the solution of sparse
                 positive-definite symmetric systems arising from
                 finite-element applications",
  journal =      j-TOMS,
  volume =       "25",
  number =       "4",
  pages =        "404--424",
  year =         "1999",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/332242.332243",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65F50 (65N30)",
  MRnumber =     "MR1753211",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Association for Computing Machinery. Transactions on
                 Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
}

@TechReport{Duff:1999:IHP,
  author =       "Iain S. Duff",
  title =        "The Impact of High Performance Computing in the
                 Solution of Linear Systems: Trends and Problems",
  type =         "Report",
  number =       "RAL TR-1999-072 and TR/PA/99/41",
  institution =  inst-RAL # " and " # inst-CERFACS,
  address =      inst-RAL:adr # " and " # inst-CERFACS:adr,
  pages =        "????",
  year =         "1999",
  bibdate =      "Tue Jan 03 07:53:23 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/220/raltr-1999072.pdf",
  acknowledgement = ack-nhfb,
}

@InCollection{Duff:1999:MFC,
  author =       "I. S. Duff and J. A. Scott",
  title =        "{MA62} --- {A} frontal code for sparse
                 positive-definite symmetric systems from finite-element
                 applications",
  crossref =     "Papadrakakis:1999:ICM",
  pages =        "1--25",
  year =         "1999",
  bibdate =      "Mon Jan 02 09:42:40 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Duff:1999:MM,
  author =       "I. S. Duff",
  title =        "Matrix methods",
  crossref =     "Bell:1999:SCP",
  pages =        "119--136",
  year =         "1999",
  bibdate =      "Mon Jan 02 09:35:50 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:19xx:SLB,
  author =       "Iain S. Duff and Michele Marrone and Guiseppe Radicati
                 and Carlo Vittoli",
  title =        "A set of {Level 3 Basic Linear Algebra} {Subprograms}
                 for sparse matrices",
  type =         "????",
  number =       "????",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  year =         "19xx",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  note =         "To appear.",
  acknowledgement = ack-nhfb,
}

@TechReport{Amestoy:2000:ATC,
  author =       "P. R. Amestoy and I. S. Duff and J.-Y. L'Excellent and
                 X. Li",
  title =        "Analysis, tuning and comparison of two general sparse
                 solvers for distributed memory computers",
  type =         "Report",
  number =       "LBNL-45992 and TR/PA/00/72",
  institution =  "NERSC, Lawrence Berkeley National Laboratory and " #
                 inst-CERFACS,
  address =      "Berkeley, CA, USA and " # inst-CERFACS:adr,
  pages =        "????",
  month =        "????",
  year =         "2000",
  bibdate =      "Mon Jan 02 10:06:24 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Amestoy:2001:MGP,
  author =       "P. R. Amestoy and I. S. Duff and J.-Y. L'Excellent and
                 J. Koster",
  title =        "{MUMPS}: a general purpose distributed memory sparse
                 solver",
  crossref =     "Sorevik:2001:APC",
  pages =        "122--131",
  year =         "2001",
  bibdate =      "Mon Jan 02 09:02:46 2006",
  bibsource =    "http://link.springer-ny.com/link/service/series/0558/tocs/t1947.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://link.springer-ny.com/link/service/series/0558/bibs/1947/19470121.htm;
                 http://link.springer-ny.com/link/service/series/0558/papers/1947/19470121.pdf",
  acknowledgement = ack-nhfb,
}

@Article{Amestoy:2000:MPD,
  author =       "P. R. Amestoy and I. S. Duff and J.-Y. L'Excellent",
  title =        "Multifrontal parallel distributed symmetric and
                 unsymmetric solvers",
  journal =      j-COMPUT-METH-APPL-MECH-ENG,
  volume =       "184",
  number =       "2--4",
  pages =        "501--520",
  day =          "14",
  month =        apr,
  year =         "2000",
  CODEN =        "CMMECC",
  DOI =          "https://doi.org/10.1016/S0045-7825(99)00242-X",
  ISSN =         "0045-7825, 0374-2830",
  ISSN-L =       "0045-7825",
  bibdate =      "Mon Jan 02 09:01:42 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Methods in Applied Mechanics and
                 Engineering",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00457825",
}

@TechReport{Carpentieri:2000:ESP,
  author =       "B. Carpentieri and I. S. Duff and L. Giraud",
  title =        "Experiments with sparse preconditioning of dense
                 problems from electromagnetic applications",
  type =         "Report",
  number =       "TR/PA/00/05",
  institution =  inst-CERFACS,
  address =      inst-CERFACS:adr,
  pages =        "????",
  month =        "????",
  year =         "2000",
  bibdate =      "Mon Jan 02 10:10:09 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Carpentieri:2000:RPD,
  author =       "B. Carpentieri and I. S. Duff and L. Giraud",
  title =        "Robust preconditioning of dense problems from
                 electromagnetics",
  crossref =     "Vulkov:2001:NAA",
  pages =        "170--178",
  year =         "2000",
  bibdate =      "Mon Jan 02 09:23:19 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Carpentieri:2000:SPS,
  author =       "B. Carpentieri and I. S. Duff and L. Giraud",
  title =        "Sparse pattern selection strategies for robust
                 {Frobenius}-norm minimization preconditioners in
                 electromagnetism",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "7",
  number =       "7--8",
  pages =        "667--685",
  year =         "2000",
  CODEN =        "NLAAEM",
  DOI =          "https://doi.org/10.1002/1099-1506(200010/12)7:7/8<667::AID-NLA218>3.0.CO;2-X",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  MRclass =      "78M25 (78A45)",
  MRnumber =     "MR1802365",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  note =         "Preconditioning techniques for large sparse matrix
                 problems in industrial applications (Minneapolis, MN,
                 1999)",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Linear Algebra with Applications",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
}

@TechReport{Carpentieri:2000:SSP,
  author =       "B. Carpentieri and I. S. Duff and L. Giraud",
  title =        "Some sparse pattern selection strategies for robust
                 {Frobenius} norm minimization preconditioners in
                 electromagnetism",
  type =         "Report",
  number =       "RAL-TR-2000-009",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "2000",
  bibdate =      "Tue Jan 03 07:39:11 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/228/raltr-2000009.pdf",
  acknowledgement = ack-nhfb,
}

@InProceedings{Dongarra:2000:TMH,
  author =       "Jack Dongarra and Iain Duff and Danny Sorensen",
  title =        "Tutorial {M7}: High-Speed Numerical Linear Algebra:
                 Algorithms and Research Directions",
  crossref =     "ACM:2000:SHP",
  pages =        "21--22",
  year =         "2000",
  bibdate =      "Sat Feb 10 14:28:55 2001",
  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",
  acknowledgement = ack-nhfb,
}

@Article{Duff:2000:IHP,
  author =       "Iain S. Duff",
  title =        "The impact of high-performance computing in the
                 solution of linear systems: trends and problems",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "123",
  number =       "1--2",
  pages =        "515--530",
  day =          "1",
  month =        nov,
  year =         "2000",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/S0377-0427(00)00401-5",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "65F10 (65-04 65Y20)",
  MRnumber =     "MR1798540 (2001j:65050)",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  note =         "Numerical analysis 2000, Vol.\ III. Linear algebra",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0377042700004015",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@TechReport{Duff:2000:INE,
  author =       "Iain S. Duff and Christof V{\"o}mel",
  title =        "Incremental norm estimation for dense and sparse
                 matrices",
  type =         "Report",
  number =       "TR/PA/00/83",
  institution =  inst-CERFACS,
  address =      inst-CERFACS:adr,
  pages =        "????",
  year =         "2000",
  bibdate =      "Tue Jan 03 07:40:29 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:2000:ISB,
  author =       "I. S. Duff and C. V{\"o}mel and M. Youan",
  title =        "Implementing the {Sparse BLAS} in {Fortran 95}",
  type =         "Report",
  number =       "TR/PA/00/82",
  institution =  inst-CERFACS,
  address =      inst-CERFACS:adr,
  pages =        "????",
  month =        "????",
  year =         "2000",
  bibdate =      "Mon Jan 02 10:49:01 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:2000:NAG,
  author =       "I. S. Duff",
  title =        "{Numerical Analysis Group. Progress Report. January
                 1998--December 1999}",
  type =         "Report",
  number =       "RAL-TR-2000-001",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  month =        "????",
  year =         "2000",
  bibdate =      "Mon Jan 02 10:28:35 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Amestoy:2001:ACTa,
  author =       "Patrick R. Amestoy and Iain S. Duff and Jean-Yves
                 L'Excellent and Xiaoye S. Li",
  title =        "Analysis and comparison of two general sparse solvers
                 for distributed memory computers",
  type =         "Report",
  number =       "RAL-TR-2001-003 and TR/PA/00/90",
  institution =  inst-RAL # " and " # inst-CERFACS,
  address =      inst-RAL:adr # " and " # inst-CERFACS:adr,
  pages =        "????",
  year =         "2001",
  bibdate =      "Tue Jan 03 07:24:11 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/259/raltr-2001003.pdf",
  acknowledgement = ack-nhfb,
}

@Article{Amestoy:2001:ACTb,
  author =       "Patrick R. Amestoy and Iain S. Duff and Jean-Yves
                 L'Excellent and Xiaoye S. Li",
  title =        "Analysis and comparison of two general sparse solvers
                 for distributed memory computers",
  journal =      j-TOMS,
  volume =       "27",
  number =       "4",
  pages =        "388--421",
  month =        dec,
  year =         "2001",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/504210.504212",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65F50 (65F05 65Y05 68W40)",
  MRnumber =     "MR1920667",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  abstract =     "This paper provides a comprehensive study and
                 comparison of two state-of-the-art direct solvers for
                 large sparse sets of linear equations on large-scale
                 distributed-memory computers. One is a multifrontal
                 solver called MUMPS, the other is a supernodal solver
                 called superLU. We describe the main algorithmic
                 features of the two solvers and compare their
                 performance characteristics with respect to
                 uniprocessor speed, interprocessor communication, and
                 memory requirements. For both solvers, preorderings for
                 numerical stability and sparsity play an important role
                 in achieving high parallel efficiency. We analyse the
                 results with various ordering algorithms. Our
                 performance analysis is based on data obtained from
                 runs on a 512-processor Cray T3E using a set of
                 matrices from real applications. We also use regular 3D
                 grid problems to study the scalability of the two
                 solvers.",
  acknowledgement = ack-nhfb,
  fjournal =     "Association for Computing Machinery. Transactions on
                 Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
}

@TechReport{Amestoy:2001:CST,
  author =       "P. R. Amestoy and I. S. Duff and J-Y L'Excellent and
                 X. Li",
  title =        "A comparative study of two approaches for the solution
                 of large sparse equations on distributed memory
                 architectures",
  type =         "Report",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "2001",
  bibdate =      "Tue Jan 03 07:34:46 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  xxnote =       "Check year: 2000 or 2001? What report number??",
}

@Article{Amestoy:2001:FAM,
  author =       "Patrick R. Amestoy and Iain S. Duff and Jean-Yves
                 L'Excellent and Jacko Koster",
  title =        "A Fully Asynchronous Multifrontal Solver Using
                 Distributed Dynamic Scheduling",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "23",
  number =       "1",
  pages =        "15--41 (electronic)",
  month =        jan,
  year =         "2001",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479899358194",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F05 (65F50 65Y05 68W15)",
  MRnumber =     "MR1856597 (2003d:65019)",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/23/1;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/35819",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@TechReport{Amestoy:2001:PTTa,
  author =       "Patrick R. Amestoy and Iain S. Duff and Jean-Yves
                 L'Excellent and Xiaoye S. Li",
  title =        "Performance and tuning of two distributed memory
                 sparse solvers",
  type =         "Report",
  number =       "RAL-TR-2001-004 and TR/PA/00/91",
  institution =  inst-RAL # " and " # inst-CERFACS,
  address =      inst-RAL:adr # " and " # inst-CERFACS:adr,
  pages =        "????",
  year =         "2001",
  bibdate =      "Tue Jan 03 07:27:22 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/260/raltr-2001004.pdf",
  acknowledgement = ack-nhfb,
}

@InProceedings{Amestoy:2001:PTTb,
  author =       "P. R. Amestoy and I. S. Duff and J.-Y. L'Excellent and
                 X. Li",
  title =        "Performance and tuning of two distributed memory
                 sparse solvers",
  crossref =     "Anonymous:2001:PTS",
  pages =        "??--??",
  year =         "2001",
  bibdate =      "Mon Jan 02 09:05:37 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Bai:2001:CIO,
  author =       "Zhong-Zhi Bai and Iain S. Duff and Andrew J. Wathen",
  title =        "A class of incomplete orthogonal factorization
                 methods. {I}. {Methods} and theories",
  journal =      j-BIT-NUM-MATH,
  volume =       "41",
  number =       "1",
  pages =        "53--70",
  year =         "2001",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1023/A:1021913700691",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  MRclass =      "65F05 (65F50 65H10)",
  MRnumber =     "MR1829661 (2002b:65040)",
  MRreviewer =   "Jin Xi Zhao",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "http://www.mai.liu.se/BIT/contents/bit41.html;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT. Numerical Mathematics",
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Misc{Blackford:2001:USB,
  author =       "L. S. Blackford and J. Demmel and J. Dongarra and I.
                 Duff and S. Hammarling and G. Henry and M. Heroux and
                 L. Kaufman and A. Lumsdaine and A. Petitet and R. Pozo
                 and K. Remington and R. C. Whaley",
  title =        "An Updated Set of {Basic Linear Algebra Subprograms}
                 ({BLAS})",
  pages =        "20",
  month =        feb,
  year =         "2001",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  note =         "Submitted to " # j-TOMS,
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Carpentieri:2001:RPD,
  author =       "B. Carpentieri and I. S. Duff and L. Giraud",
  editor =       "L. Vulkov and J. Wasniewski and P. Yalamov",
  booktitle =    "Numerical Analysis and its Applications",
  title =        "Robust preconditioning of dense problems from
                 electromagnetics",
  volume =       "1988",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "170--178",
  year =         "2001",
  ISBN =         "3-540-41814-8",
  ISBN-13 =      "978-3-540-41814-6",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  LCCN =         "????",
  bibdate =      "Tue Jun 4 09:26:54 MDT 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  classification = "Univ Rousse, Ruse, Bulgaria",
  conference-date = "JUN 11-15, 2000",
  conference-name = "2nd International Conference on Numerical Analysis
                 and its Applications",
}

@TechReport{Carpentieri:2001:SSP,
  author =       "B. Carpentieri and I. S. Duff and L. Giraud and M.
                 Magolu monga Made",
  title =        "Sparse symmetric preconditioners for dense linear
                 systems in electromagnetism",
  type =         "Report",
  number =       "TR/PA/01/35",
  institution =  inst-CERFACS,
  address =      inst-CERFACS:adr,
  pages =        "????",
  year =         "2001",
  bibdate =      "Tue Jan 03 07:29:30 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:2001:APL,
  author =       "I. S. Duff and J. Koster",
  title =        "On algorithms for permuting large entries to the
                 diagonal of a sparse matrix",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "22",
  number =       "4",
  pages =        "973--996 (electronic)",
  year =         "2001",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479899358443",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F10 (65F05 65F50)",
  MRnumber =     "MR1824052 (2001m:65043)",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@TechReport{Duff:2001:INE,
  author =       "Iain S. Duff and Christof V{\"o}mel",
  title =        "Incremental norm estimation for dense and sparse
                 matrices",
  type =         "Report",
  number =       "RAL-TR-2001-005",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "2001",
  bibdate =      "Tue Jan 03 07:30:16 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/261/raltr-2001005.pdf",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:2001:ISB,
  author =       "I. S. Duff and C. V{\"o}mel",
  title =        "The implementation of the {Sparse BLAS} in {Fortran
                 95}",
  type =         "Report",
  number =       "TR/PA/01/27",
  institution =  inst-CERFACS,
  address =      inst-CERFACS:adr,
  pages =        "????",
  month =        "????",
  year =         "2001",
  bibdate =      "Mon Jan 02 10:49:58 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:2001:SB,
  author =       "Iain S. Duff and Michael A. Heroux and Roldan Pozo",
  title =        "The {Sparse BLAS}",
  type =         "Report",
  number =       "RAL-TR-2001-032 and TR/PA/01/24",
  institution =  inst-RAL # " and " # inst-CERFACS,
  address =      inst-RAL:adr # " and " # inst-CERFACS:adr,
  pages =        "????",
  year =         "2001",
  bibdate =      "Tue Jan 03 07:31:35 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/270/raltr-2001032.pdf",
  acknowledgement = ack-nhfb,
}

@Article{vanderVorst:2001:TNA,
  author =       "Henk A. van der Vorst and Rob Bisseling and Iain S.
                 Duff and Bernard J. Philippe",
  title =        "Topic 11 Numerical Algorithms",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "2150",
  pages =        "566--567",
  year =         "2001",
  CODEN =        "LNCSD9",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  bibdate =      "Sat Feb 2 13:05:53 MST 2002",
  bibsource =    "http://link.springer-ny.com/link/service/series/0558/tocs/t2150.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/lncs2001c.bib",
  URL =          "http://link.springer-ny.com/link/service/series/0558/bibs/2150/21500566.htm;
                 http://link.springer-ny.com/link/service/series/0558/papers/2150/21500566.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Lecture Notes in Computer Science",
  journal-URL =  "http://link.springer.com/bookseries/558",
}

@TechReport{Amestoy:2002:TSA,
  author =       "Patrick R. Amestoy and Iain S. Duff and Christof
                 V{\"o}mel",
  title =        "Task scheduling in an asynchronous distributed memory
                 multifrontal solver",
  type =         "Report",
  number =       "RAL-TR-2002-028 and TR/PA/02/105",
  institution =  inst-RAL # " and " # inst-CERFACS,
  address =      inst-RAL:adr # " and " # inst-CERFACS:adr,
  pages =        "????",
  year =         "2002",
  bibdate =      "Tue Jan 03 06:32:21 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/296/raltr-2002028.pdf",
  acknowledgement = ack-nhfb,
}

@Article{Blackford:2002:USB,
  author =       "L. Susan Blackford and James Demmel and Jack Dongarra
                 and Iain Duff and Sven Hammarling and Greg Henry and
                 Michael Heroux and Linda Kaufman and Andrew Lumsdaine
                 and Antoine Petitet and Roldan Pozo and Karin Remington
                 and R. Clint Whaley",
  title =        "An updated set of {Basic Linear Algebra Subprograms
                 (BLAS)}",
  journal =      j-TOMS,
  volume =       "28",
  number =       "2",
  pages =        "135--151",
  month =        jun,
  year =         "2002",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/567806.567807",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Sat Nov 9 11:16:50 MST 2002",
  bibsource =    "http://www.acm.org/pubs/contents/journals/toms/;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
}

@TechReport{Carpentieri:2002:CST,
  author =       "B. Carpentieri and I. S. Duff and L. Giraud",
  title =        "A class of spectral two-level preconditioners",
  type =         "Report",
  number =       "RAL-TR-2002-020",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "2002",
  bibdate =      "Tue Jan 03 06:35:13 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/291/raltr-2002020.pdf",
  acknowledgement = ack-nhfb,
}

@TechReport{Carpentieri:2002:SSP,
  author =       "B. Carpentieri and I. S. Duff and L. Giraud and M.
                 Magolu monga Made",
  title =        "Sparse symmetric preconditioners for dense linear
                 systems in electromagnetism",
  type =         "Report",
  number =       "RAL-TR-2002-016",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "2002",
  bibdate =      "Tue Jan 03 06:36:17 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/288/raltr-2002016.pdf",
  acknowledgement = ack-nhfb,
}

@Article{Duff:2002:ARM,
  author =       "Iain S. Duff and Christof V{\"o}mel",
  title =        "{Algorithm 818}: {A} reference model implementation of
                 the {Sparse BLAS} in {Fortran 95}",
  journal =      j-TOMS,
  volume =       "28",
  number =       "2",
  pages =        "268--283",
  month =        jun,
  year =         "2002",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/567806.567811",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65Fxx (65-04 65Y15)",
  MRnumber =     "MR1928069 (2003h:65028)",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "http://www.acm.org/pubs/contents/journals/toms/;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  abstract =     "The Basic Linear Algebra Subprograms for sparse
                 matrices (Sparse BLAS) as defined by the blas technical
                 forum are a set of routines providing basic operations
                 for sparse matrices and vectors. A principal goal for
                 the Sparse BLAS standard is to aid in the development
                 of iterative solvers for large sparse systems by
                 specifying on the one hand interfaces for a high-level
                 description of vector and matrix operations for the
                 algorithm developer and on the other hand leaving
                 enough freedom for vendors to provide the most
                 efficient implementation of the underlying algorithms
                 for their specific architectures.\par

                 The Sparse BLAS standard defines interfaces and
                 bindings for the three target languages: C, Fortran 77
                 and Fortran 95. We describe here our Fortran 95
                 implementation intended as a reference model for the
                 Sparse BLAS. We identify the underlying complex issues
                 of the representation and the handling of sparse
                 matrices and give suggestions to other implementors of
                 how to address them.",
  acknowledgement = ack-nhfb,
  fjournal =     "Association for Computing Machinery. Transactions on
                 Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
}

@TechReport{Duff:2002:AXR,
  author =       "Iain S. Duff and Christof V{\"o}mel",
  title =        "Algorithm xxx: a reference model implementation of the
                 {Sparse BLAS} in {Fortran 95}",
  type =         "Report",
  number =       "RAL-TR-2002-018",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "2002",
  bibdate =      "Tue Jan 03 06:16:49 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/289/raltr-2002018.pdf",
  acknowledgement = ack-nhfb,
}

@InProceedings{Duff:2002:DMS,
  author =       "Iain S. Duff",
  editor =       "????",
  booktitle =    "Proceedings of the Conference Alg{\`e}bre Lin{\'e}aire
                 et Arithm{\'e}tique Calcul Num{\'e}rique et
                 Parall{\`e}le, held in Rabat, Morocco, 28--31 May,
                 2001",
  title =        "Direct methods for the solution of large sparse
                 systems",
  publisher =    "????",
  address =      "????",
  pages =        "??--??",
  year =         "2002",
  bibdate =      "Tue Jan 03 07:16:07 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:2002:INE,
  author =       "Iain S. Duff and Christof V{\"o}mel",
  title =        "Incremental norm estimation for dense and sparse
                 matrices",
  journal =      j-BIT-NUM-MATH,
  volume =       "42",
  number =       "2",
  pages =        "300--322",
  month =        jun,
  year =         "2002",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1023/A:1021946924741",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  MRclass =      "65F35",
  MRnumber =     "MR1912589 (2003f:65076)",
  MRreviewer =   "Zuhe Shen",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "http://www.mai.liu.se/BIT/contents/bit42.html;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT. Numerical Mathematics",
  journal-URL =  "http://link.springer.com/journal/10543",
}

@TechReport{Duff:2002:MNC,
  author =       "Iain S. Duff",
  title =        "{MA57} --- a new code for the solution of sparse
                 symmetric indefinite systems",
  type =         "Report",
  number =       "RAL-TR-2002-024",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "2002",
  bibdate =      "Tue Jan 03 07:19:55 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/293/raltr-2002024.pdf",
  acknowledgement = ack-nhfb,
}

@Article{Duff:2002:NA,
  author =       "I. S. Duff and W. Borchers and L. Giraud and H. A. van
                 der Vorst",
  title =        "Numerical Algorithms",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "2400",
  pages =        "675--676",
  year =         "2002",
  CODEN =        "LNCSD9",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  bibdate =      "Tue Sep 10 19:10:14 MDT 2002",
  bibsource =    "http://link.springer-ny.com/link/service/series/0558/tocs/t2400.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/lncs2002c.bib",
  URL =          "http://link.springer-ny.com/link/service/series/0558/bibs/2400/24000675.htm;
                 http://link.springer-ny.com/link/service/series/0558/papers/2400/24000675.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Lecture Notes in Computer Science",
  journal-URL =  "http://link.springer.com/bookseries/558",
}

@TechReport{Duff:2002:NAG,
  author =       "I. S. Duff",
  title =        "{Numerical Analysis Group. Progress Report. January
                 2000--December 2001}",
  type =         "Report",
  number =       "RAL-TR-2002-010",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  month =        "????",
  year =         "2002",
  bibdate =      "Mon Jan 02 10:28:35 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/285/raltr-2002010.pdf",
  acknowledgement = ack-nhfb,
}

@Article{Duff:2002:OSB,
  author =       "Iain S. Duff and Michael A. Heroux and Roldan Pozo",
  title =        "An overview of the {Sparse Basic Linear Algebra
                 Subprograms}: {The} new standard from the {BLAS
                 Technical Forum}",
  journal =      j-TOMS,
  volume =       "28",
  number =       "2",
  pages =        "239--267",
  month =        jun,
  year =         "2002",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/567806.567810",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65Fxx (65-04)",
  MRnumber =     "MR1928068 (2003h:65027)",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "http://www.acm.org/pubs/contents/journals/toms/;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  abstract =     "We discuss the interface design for the Sparse Basic
                 Linear Algebra Subprograms (BLAS), the kernels in the
                 recent standard from the BLAS Technical Forum that are
                 concerned with unstructured sparse matrices. The
                 motivation for such a standard is to encourage portable
                 programming while allowing for library-specific
                 optimizations. In particular, we show how this
                 interface can shield one from concern over the specific
                 storage scheme for the sparse matrix. This design makes
                 it easy to add further functionality to the sparse BLAS
                 in the future.We illustrate the use of the Sparse BLAS
                 with examples in the three supported programming
                 languages, Fortran 95, Fortran 77, and C.",
  acknowledgement = ack-nhfb,
  fjournal =     "Association for Computing Machinery. Transactions on
                 Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
}

@TechReport{Duff:2002:PDS,
  author =       "Iain S. Duff and Jennifer A. Scott",
  title =        "A parallel direct solver for large highly unsymmetric
                 linear systems",
  type =         "Report",
  number =       "RAL-TR-2002-033",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "2002",
  bibdate =      "Tue Jan 03 06:15:29 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/301/raltr-2002033.pdf",
  acknowledgement = ack-nhfb,
}

@TechReport{Papadopoulos:2002:IOF,
  author =       "A. T. Papadopoulos and I. S. Duff and A. J. Wathen",
  title =        "Incomplete orthogonal factorization methods using
                 {Givens} rotations {II}: implementation and results",
  type =         "Report",
  number =       "RAL-TR-2002-019 and NA-02-07",
  institution =  inst-RAL # " and Oxford University Computing Services",
  address =      inst-RAL:adr # " and Oxford, Oxon, UK",
  pages =        "????",
  month =        "????",
  year =         "2002",
  bibdate =      "Mon Jan 02 10:50:49 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  note =         "To appear in BIT.",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/290/raltr-2002019.pdf",
  acknowledgement = ack-nhfb,
}

@Article{vanderVorst:2002:CMC,
  author =       "Henk van der Vorst and Iain Duff and Howard Elman and
                 Ronal Freund and Tim Kelley and Seymour Parter and
                 Gerhard Starke and Nick Trefethen and Panayot
                 Vassilevski and Homer Walker and Olof Widlund",
  title =        "{2000 Copper Mountain Conference}",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "23",
  number =       "2",
  pages =        "vii--vii",
  month =        mar,
  year =         "2002",
  CODEN =        "SJOCE3",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Wed Jul 25 09:55:57 MDT 2001",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/23/2;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/97414",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@TechReport{Alleon:2003:EPI,
  author =       "G. All{\'e}on and B. Carpentieri and I. S. Duff and L.
                 Giraud and E. Martin and G. Sylvand",
  title =        "Efficient parallel iterative solvers for the solution
                 of large dense linear systems arising from the boundary
                 element method in electromagnetism",
  type =         "Report",
  number =       "TR/PA/03/65",
  institution =  inst-CERFACS,
  address =      inst-CERFACS:adr,
  pages =        "????",
  year =         "2003",
  bibdate =      "Mon Jan 02 10:02:05 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Amestoy:2003:APSa,
  author =       "Patrick R. Amestoy and Iain S. Duff and St{\'e}phane
                 Pralet and Christof V{\"o}mel",
  title =        "Adapting a parallel sparse direct solver to
                 architectures with clusters of {SMPs}",
  type =         "Report",
  number =       "TR/PA/03/05",
  institution =  inst-CERFACS,
  address =      inst-CERFACS:adr,
  pages =        "????",
  year =         "2003",
  bibdate =      "Tue Jan 03 06:22:58 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Amestoy:2003:APSb,
  author =       "Patrick R. Amestoy and Iain S. Duff and St{\'e}phane
                 Pralet and Christof V{\"o}mel",
  title =        "Adapting a parallel sparse direct solver to
                 architectures with clusters of {SMPs}",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "29",
  number =       "11--12",
  pages =        "1645--1668",
  month =        nov # "\slash " # dec,
  year =         "2003",
  CODEN =        "PACOEJ",
  DOI =          "https://doi.org/10.1016/j.parco.2003.05.010",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  MRclass =      "65F50 (65F05 65Y05)",
  MRnumber =     "MR2038396",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  note =         "Parallel and distributed scientific and engineering
                 computing",
  acknowledgement = ack-nhfb,
  fjournal =     "Parallel Computing. Theory and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191",
}

@TechReport{Amestoy:2003:IIMa,
  author =       "Patrick R. Amestoy and Iain S. Duff and Jean-Yves
                 L'Excellent and Xiaoye S. Li",
  title =        "Impact of the implementation of {MPI} point-to-point
                 communications on the performance of two general sparse
                 solvers",
  type =         "Report",
  number =       "TR/PA/03/14 and RR-4372 and LBNL-48968 and
                 RT/APO/01/4",
  institution =  inst-CERFACS,
  address =      inst-CERFACS:adr,
  pages =        "????",
  year =         "2003",
  bibdate =      "Tue Jan 03 06:25:11 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Amestoy:2003:IIMb,
  author =       "Patrick R. Amestoy and Iain S. Duff and Jean-Yves
                 L'Excellent and Xiaoye S. Li",
  title =        "Impact of the implementation of {MPI} point-to-point
                 communications on the performance of two general sparse
                 solvers",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "29",
  number =       "7",
  pages =        "833--849",
  month =        jul,
  year =         "2003",
  CODEN =        "PACOEJ",
  DOI =          "https://doi.org/10.1016/S0167-8191(03)00067-X",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  bibdate =      "Wed Dec 24 09:07:26 MST 2003",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Parallel Computing",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191",
}

@TechReport{Carpentieri:2003:CFM,
  author =       "B. Carpentieri and I. S. Duff and L. Giraud and G.
                 Sylvand",
  title =        "Combining Fast Multipole Techniques and an Approximate
                 Inverse Preconditioner for Large Electromagnetism
                 Calculations",
  type =         "Report",
  number =       "RAL-TR-2003-024 and TR/PA/03/77",
  institution =  inst-RAL # " and " # inst-CERFACS,
  address =      inst-RAL:adr # " and " # inst-CERFACS:adr,
  month =        "????",
  year =         "2003",
  bibdate =      "Tue Jan 03 06:27:16 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  note =         "To appear in SIAM J. Sci. Comput.",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/316/raltr-2003024.pdf",
  acknowledgement = ack-nhfb,
  xxtitle =      "Combining fast multipole techniques and an approximate
                 inverse preconditioner for large parallel
                 electromagnetics calculations",
}

@Article{Carpentieri:2003:CST,
  author =       "B. Carpentieri and I. S. Duff and L. Giraud",
  title =        "A class of spectral two-level preconditioners",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "25",
  number =       "2",
  pages =        "749--765 (electronic)",
  year =         "2003",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/S1064827502408591",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65F10",
  MRnumber =     "MR2058086 (2005g:65054)",
  MRreviewer =   "Rafael Bru",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@TechReport{Duff:2003:USL,
  author =       "I. S. Duff and L. Giraud and J. Langou and E. Martin",
  title =        "Using spectral low rank preconditioners for large
                 electromagnetic calculations",
  type =         "Report",
  number =       "RAL-TR-2003-023",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "2003",
  bibdate =      "Tue Jan 03 06:29:25 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/315/raltr-2003023.pdf",
  acknowledgement = ack-nhfb,
}

@Article{vanderVorst:2003:CMC,
  author =       "Henk van der Vorst and Iain Duff and Howard Elman and
                 Ronal Freund and Tim Kelley and Seymour Parter and
                 Gerhard Starke and Nick Trefethen and Panayot
                 Vassilevski and Homer Walker and Olof Widlund",
  title =        "{2002 Copper Mountain Conference}",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "25",
  number =       "2",
  pages =        "vii--vii",
  month =        mar,
  year =         "2003",
  CODEN =        "SJOCE3",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65-06",
  MRnumber =     "MR2062261",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/25/2;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib;
                 MathSciNet database",
  note =         "Held in Copper Mountain, CO, March 24--29, 2002.",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/97415",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{Amestoy:2004:AAA,
  author =       "Patrick R. Amestoy and Timothy A. Davis and Iain S.
                 Duff",
  title =        "{Algorithm 837}: {AMD}, an approximate minimum degree
                 ordering algorithm",
  journal =      j-TOMS,
  volume =       "30",
  number =       "3",
  pages =        "381--388",
  month =        sep,
  year =         "2004",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/1024074.1024081",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65F50 (05C85)",
  MRnumber =     "MR2124398",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "http://www.acm.org/pubs/contents/journals/toms/;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  abstract =     "AMD is a set of routines that implements the
                 approximate minimum degree ordering algorithm to
                 permute sparse matrices prior to numerical
                 factorization. There are versions written in both C and
                 Fortran 77. A MATLAB interface is included.",
  acknowledgement = ack-nhfb,
  fjournal =     "Association for Computing Machinery. Transactions on
                 Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  keywords =     "Algorithms; Experimentation; Linear equations; minimum
                 degree; ordering methods; Performance; sparse",
}

@Article{Amestoy:2004:TSA,
  author =       "Patrick R. Amestoy and Iain S. Duff and Christof
                 V{\"o}mel",
  title =        "Task scheduling in an asynchronous distributed memory
                 multifrontal solver",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "26",
  number =       "2",
  pages =        "544--565 (electronic)",
  year =         "2004",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479802419877",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F50 (65F05 68W15)",
  MRnumber =     "MR2124403 (2005j:65045)",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@InProceedings{Carpentieri:2004:EIS,
  author =       "B. Carpentieri and I. S. Duff and L. Giraud and G.
                 Sylvand",
  title =        "An embedded iterative scheme in electromagnetism",
  crossref =     "Wyrzykowski:2004:PPA",
  pages =        "977--984",
  year =         "2004",
  bibdate =      "Mon Jan 02 09:25:59 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Carpentieri:2004:SSP,
  author =       "B. Carpentieri and I. S. Duff and L. Giraud and M.
                 Magolu monga Made",
  title =        "Sparse symmetric preconditioners for dense linear
                 systems in electromagnetism",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "11",
  number =       "8--9",
  pages =        "753--771",
  month =        oct # "\slash " # nov,
  year =         "2004",
  CODEN =        "NLAAEM",
  DOI =          "https://doi.org/10.1002/nla.345",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  MRclass =      "65F10 (78M25)",
  MRnumber =     "MR2089471 (2005h:65042)",
  MRreviewer =   "Jin Yun Yuan",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "http://www.interscience.wiley.com/jpages/1070-5325;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 http://www3.interscience.wiley.com/journalfinder.html",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerical Linear Algebra with Applications",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
  onlinedate =   "17 May 2004",
}

@TechReport{Duff:2004:CDI,
  author =       "I. S. Duff",
  title =        "Combining direct and iterative methods for the
                 solution of large systems in different application
                 areas",
  type =         "Report",
  number =       "RAL-TR-2004-033 and TR/PA/04/128",
  institution =  inst-RAL # " and " # inst-CERFACS,
  address =      inst-RAL:adr # " and " # inst-CERFACS:adr,
  pages =        "????",
  month =        "????",
  year =         "2004",
  bibdate =      "Mon Jan 02 10:32:54 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/628/duRAL2004033.pdf",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:2004:EPS,
  author =       "I. S. Duff and S. Pralet",
  title =        "Experiments in preprocessing and scaling symmetric
                 problems for multifrontal solutions",
  type =         "Report",
  number =       "WN/PA/04/17",
  institution =  inst-CERFACS,
  address =      inst-CERFACS:adr,
  pages =        "????",
  month =        "????",
  year =         "2004",
  bibdate =      "Mon Jan 02 10:38:54 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duff:2004:MCS,
  author =       "Iain S. Duff",
  title =        "{MA57}---a code for the solution of sparse symmetric
                 definite and indefinite systems",
  journal =      j-TOMS,
  volume =       "30",
  number =       "2",
  pages =        "118--144",
  month =        jun,
  year =         "2004",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/992200.992202",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65F50 (65-04 65F05)",
  MRnumber =     "MR2075977",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "http://www.acm.org/pubs/contents/journals/toms/;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Association for Computing Machinery. Transactions on
                 Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
}

@TechReport{Duff:2004:NAG,
  author =       "I. S. Duff",
  title =        "{Numerical Analysis Group. Progress Report. January
                 2002--December 2003}",
  type =         "Report",
  number =       "RAL-TR-2004-016",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  month =        "????",
  year =         "2004",
  bibdate =      "Mon Jan 02 10:28:35 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/630/duffRAL2004016.pdf",
  acknowledgement = ack-nhfb,
}

@Article{Duff:2004:PDS,
  author =       "Iain S. Duff and Jennifer A. Scott",
  title =        "A parallel direct solver for large sparse highly
                 unsymmetric linear systems",
  journal =      j-TOMS,
  volume =       "30",
  number =       "2",
  pages =        "95--117",
  month =        jun,
  year =         "2004",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/992200.992201",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65F50 (65-04 65F05 65Y05)",
  MRnumber =     "MR2075976 (2005b:65052)",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "http://www.acm.org/pubs/contents/journals/toms/;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Association for Computing Machinery. Transactions on
                 Mathematical Software",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
}

@TechReport{Duff:2004:PPB,
  author =       "I. S. Duff and S. Riyavong and M. {Van Gijzen}",
  title =        "Parallel preconditioners based on partitioning sparse
                 matrices",
  type =         "Report",
  number =       "RAL-TR-2004-040 and TR/PA/04/114",
  institution =  inst-RAL # " and " # inst-CERFACS,
  address =      inst-RAL:adr # " and " # inst-CERFACS:adr,
  pages =        "????",
  month =        "????",
  year =         "2004",
  bibdate =      "Mon Jan 02 10:43:50 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/605/drvRAL2004040.pdf",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:2004:SBB,
  author =       "I. S. Duff and J. A. Scott",
  title =        "Stabilized bordered block diagonal forms for parallel
                 sparse solvers",
  type =         "Report",
  number =       "RAL-TR-2004-006",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  year =         "2004",
  bibdate =      "Tue Jan 03 06:12:21 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/320/raltr-2004006.pdf",
  acknowledgement = ack-nhfb,
}

@TechReport{Duff:2004:SSP,
  author =       "I. S. Duff and S. Pralet",
  title =        "Strategies for scaling and pivoting for sparse
                 symmetric indefinite problems",
  type =         "Report",
  number =       "RAL-TR-2004-020 and TR/PA/04/59",
  institution =  inst-RAL # " and " # inst-CERFACS,
  address =      inst-RAL:adr # " and " # inst-CERFACS:adr,
  pages =        "????",
  month =        "????",
  year =         "2004",
  bibdate =      "Mon Jan 02 10:39:45 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  note =         "To appear in SIAM J. Matrix Anal. and Applics.",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/473/raltr-2004020.pdf",
  acknowledgement = ack-nhfb,
}

@TechReport{Scott:2004:MHS,
  author =       "J. A. Scott and I. S. Duff",
  title =        "Multilevel hybrid spectral element ordering",
  type =         "Report",
  number =       "RAL-TR-2004-018",
  institution =  inst-RAL,
  address =      inst-RAL:adr,
  pages =        "????",
  year =         "2004",
  bibdate =      "Tue Jan 03 06:21:04 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/603/dsRAL91056.pdf",
  acknowledgement = ack-nhfb,
}

@Article{Amestoy:2005:TSA,
  author =       "Patrick R. Amestoy and Iain S. Duff and Christof
                 V{\"o}mel",
  title =        "Task Scheduling in an Asynchronous Distributed Memory
                 Multifrontal Solver",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "26",
  number =       "2",
  pages =        "544--565",
  month =        apr,
  year =         "2005",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Sat Apr 16 10:32:39 MDT 2005",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/26/2;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/41987",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Carpentieri:2005:CFM,
  author =       "B. Carpentieri and I. S. Duff and L. Giraud and G.
                 Sylvand",
  title =        "Combining Fast Multipole Techniques and an Approximate
                 Inverse Preconditioner for Large Electromagnetism
                 Calculations",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "27",
  number =       "3",
  pages =        "774--792",
  month =        may,
  year =         "2005",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/040603917",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Mon Nov 21 14:52:54 MST 2005",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/27/3;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/60391",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{Duff:2005:CE,
  author =       "Iain Duff and Endre S{\"u}li",
  title =        "Change of {Editorship}",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "25",
  number =       "1",
  pages =        "i--i",
  month =        jan,
  year =         "2005",
  CODEN =        "IJNADH",
  DOI =          "https://doi.org/10.1093/imanum/drh026",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  bibdate =      "Fri Jul 8 07:42:10 MDT 2005",
  bibsource =    "http://imanum.oxfordjournals.org/content/vol25/issue1/;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://imanum.oupjournals.org/cgi/reprint/25/1/i",
  acknowledgement = ack-nhfb,
  fjournal =     "IMA Journal of Numerical Analysis",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
}

@Article{Duff:2005:SBB,
  author =       "Iain S. Duff and Jennifer A. Scott",
  title =        "Stabilized bordered block diagonal forms for parallel
                 sparse solvers",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "31",
  number =       "3--4",
  pages =        "275--289",
  month =        mar # "\slash " # apr,
  year =         "2005",
  CODEN =        "PACOEJ",
  DOI =          "https://doi.org/10.1016/j.parco.2004.12.008",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  MRclass =      "65F50",
  MRnumber =     "MR2145772 (2005m:65100)",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 http://www.sciencedirect.com/science/journal/01678191",
  acknowledgement = ack-nhfb,
  fjournal =     "Parallel Computing. Theory and Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191",
}

@Article{Duff:2005:SSP,
  author =       "Iain S. Duff and St{\'e}phane Pralet",
  title =        "Strategies for Scaling and Pivoting for Sparse
                 Symmetric Indefinite Problems",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "27",
  number =       "2",
  pages =        "313--340",
  month =        apr,
  year =         "2005",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/04061043X",
  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/d/duff-iain-s.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/61043",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@TechReport{Duff:2005:TSS,
  author =       "I. S. Duff and S. Pralet",
  title =        "Towards a stable static pivoting strategy for the
                 sequential and parallel solution of sparse symmetric
                 indefinite systems",
  type =         "Report",
  number =       "RAL-TR-2005-007 and TR/PA/05/26 and RT/TLSE/05/08",
  institution =  inst-RAL # " and " # inst-CERFACS # " and " #
                 inst-IRIT,
  address =      inst-RAL:adr # " and " # inst-CERFACS:adr # " and " #
                 inst-IRIT:adr,
  pages =        "????",
  month =        "????",
  year =         "2005",
  bibdate =      "Mon Jan 02 10:40:58 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/723/raltr-2005007.pdf",
  acknowledgement = ack-nhfb,
}

@Article{Duff:2005:USL,
  author =       "I. S. Duff and L. Giraud and J. Langou and E. Martin",
  title =        "Using spectral low rank preconditioners for large
                 electromagnetic calculations",
  journal =      j-INT-J-NUMER-METHODS-ENG,
  volume =       "62",
  number =       "????",
  pages =        "416--434",
  month =        "????",
  year =         "2005",
  CODEN =        "IJNMBH",
  DOI =          "https://doi.org/10.1002/nme.1201",
  ISSN =         "0029-5981 (print), 1097-0207 (electronic)",
  ISSN-L =       "0029-5981",
  bibdate =      "Mon Jan 02 09:39:07 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal for Numerical Methods in
                 Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207",
}

@Article{Papadopoulos:2005:CIO,
  author =       "A. T. Papadopoulos and I. S. Duff and A. J. Wathen",
  title =        "A class of incomplete orthogonal factorization
                 methods. {II}. {Implementation} and results",
  journal =      j-BIT-NUM-MATH,
  volume =       "45",
  number =       "1",
  pages =        "159--179",
  year =         "2005",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/s10543-005-2642-z",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  MRclass =      "65Fxx",
  MRnumber =     "MR2164230",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT. Numerical Mathematics",
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Article{Arioli:2007:NGP,
  author =       "M. Arioli and I. S. Duff and S. Gratton and S.
                 Pralet",
  title =        "A Note on {GMRES} Preconditioned by a Perturbed {$ L D
                 L^T $} Decomposition with Static Pivoting",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "29",
  number =       "5",
  pages =        "2024--2044",
  year =         "2007",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/060661545",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65F05 (65F10 65F50 65G50)",
  MRnumber =     "MR2350019 (2008i:65052)",
  MRreviewer =   "Olexander S. Babanin",
  bibdate =      "Thu May 13 17:10:09 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/29/5;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{Duff:2007:MBP,
  author =       "I. Duff and S. Gratton and X. Pinel and X. Vasseur",
  title =        "Multigrid based preconditioners for the numerical
                 solution of two-dimensional heterogeneous problems in
                 geophysics",
  journal =      j-INT-J-COMPUT-MATH,
  volume =       "84",
  number =       "8",
  pages =        "1167--1181",
  year =         "2007",
  CODEN =        "IJCMAT",
  DOI =          "https://doi.org/10.1080/00207160701356076",
  ISSN =         "0020-7160",
  ISSN-L =       "0020-7160",
  MRclass =      "65F10 (86A60)",
  MRnumber =     "2349732",
  bibdate =      "Mon Aug 23 18:45:56 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal of Computer Mathematics",
  journal-URL =  "http://www.tandfonline.com/loi/gcom20",
}

@InCollection{Duff:2007:SSS,
  author =       "Iain S. Duff",
  booktitle =    "Some topics in industrial and applied mathematics",
  title =        "Sparse system solution and the {HSL} library",
  volume =       "8",
  publisher =    "Higher Ed. Press",
  address =      "Beijing, China",
  pages =        "78--94",
  year =         "2007",
  MRclass =      "65F50",
  MRnumber =     "MR2381910 (2009b:65112)",
  MRreviewer =   "Joaqu{\'\i}m J. J{\'u}dice",
  bibdate =      "Thu May 13 17:10:09 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  series =       "Ser. Contemp. Appl. Math. CAM",
  acknowledgement = ack-nhfb,
}

@Article{Duff:2007:TSM,
  author =       "Iain S. Duff and St{\'e}phane Pralet",
  title =        "Towards Stable Mixed Pivoting Strategies for the
                 Sequential and Parallel Solution of Sparse Symmetric
                 Indefinite Systems",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "29",
  number =       "3",
  pages =        "1007--1024",
  year =         "2007",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/050629598",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F05 (65F50)",
  MRnumber =     "MR2365903 (2008h:65011)",
  MRreviewer =   "Daniel B. Szyld",
  bibdate =      "Thu May 13 17:10:09 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toclist/SIMAX/;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Amestoy:2008:PMS,
  author =       "Patrick R. Amestoy and Iain S. Duff and Daniel Ruiz
                 and Bora U{\c{c}}ar",
  title =        "A parallel matrix scaling algorithm",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "5336",
  bookpages =    "xix + 596",
  pages =        "301--313",
  year =         "2008",
  CODEN =        "LNCSD9",
  DOI =          "https://doi.org/10.1007/978-3-540-92859-1_27",
  ISBN =         "3-540-92858-8",
  ISBN-13 =      "978-3-540-92858-4",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  LCCN =         "QA76.88 .V43 2008",
  bibdate =      "Thu May 13 17:19:54 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  abstract =     "We recently proposed an iterative procedure which
                 asymptotically scales the rows and columns of a given
                 matrix to one in a given norm. In this work, we briefly
                 mention some of the properties of that algorithm and
                 discuss its efficient parallelization. We report on a
                 parallel performance study of our implementation on a
                 few computing environments.",
  acknowledgement = ack-nhfb,
  fjournal =     "Lecture Notes in Computer Science",
  journal-URL =  "http://link.springer.com/bookseries/558",
  keyword =      "sparse matrices; matrix scaling; equilibration;
                 parallel computing",
  meetingname =  "VECPAR 2008 (2008 : Toulouse, France)",
}

@Article{Arioli:2008:UFO,
  author =       "M. Arioli and I. S. Duff",
  title =        "Using {FGMRES} to obtain backward stability in mixed
                 precision",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "33",
  pages =        "31--44",
  year =         "2008\slash 2009",
  CODEN =        "????",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  MRclass =      "65F10 (65F50 65G50)",
  MRnumber =     "MR2590125",
  bibdate =      "Thu May 13 17:10:09 2010",
  bibsource =    "http://etna.mcs.kent.edu/;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://etna.mcs.kent.edu/vol.33.2008-2009/pp31-44.dir/pp31-44.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Electronic Transactions on Numerical Analysis",
  journal-URL =  "http://etna.mcs.kent.edu/",
}

@Article{Bai:2009:NSI,
  author =       "Zhong-Zhi Bai and Iain S. Duff and Jun-Feng Yin",
  title =        "Numerical study on incomplete orthogonal factorization
                 preconditioners",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "226",
  number =       "1",
  pages =        "22--41",
  day =          "1",
  month =        apr,
  year =         "2009",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/j.cam.2008.05.014",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "65F08 (65F10 65F25 65F50)",
  MRnumber =     "MR2501877 (2010b:65062)",
  MRreviewer =   "Paulo B. Vasconcelos",
  bibdate =      "Thu May 13 17:10:09 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib",
  ZMnumber =     "1161.65036",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Duff:2009:DUS,
  author =       "Iain S. Duff",
  title =        "The design and use of a sparse direct solver for skew
                 symmetric matrices",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "226",
  number =       "1",
  pages =        "50--54",
  day =          "1",
  month =        apr,
  year =         "2009",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/j.cam.2008.05.016",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "65F50 (65F05)",
  MRnumber =     "MR2501879 (2010e:65065)",
  bibdate =      "Thu May 13 17:10:09 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib",
  ZMnumber =     "1161.65021",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Trefethen:2009:DHP,
  author =       "Anne Trefethen and Nick Higham and Iain Duff and Peter
                 Coveney",
  title =        "Developing a High-Performance Computing\slash
                 Numerical Analysis Roadmap",
  journal =      j-IJHPCA,
  volume =       "23",
  number =       "4",
  pages =        "423--426",
  month =        nov,
  year =         "2009",
  CODEN =        "IHPCFL",
  DOI =          "https://doi.org/10.1177/1094342009347710",
  ISSN =         "1094-3420 (print), 1741-2846 (electronic)",
  ISSN-L =       "1094-3420",
  bibdate =      "Tue Aug 31 09:59:45 MDT 2010",
  bibsource =    "http://hpc.sagepub.com/content/23/4.toc;
                 http://hpc.sagepub.com/content/by/year;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/ijsa.bib",
  URL =          "http://hpc.sagepub.com/content/23/4/423.full.pdf+html",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal of High Performance Computing
                 Applications",
  journal-URL =  "http://hpc.sagepub.com/content/by/year",
}

@Article{Amestoy:2010:ASP,
  author =       "P. Amestoy and I. S. Duff and A. Guermouche and Tz.
                 Slavova",
  title =        "Analysis of the solution phase of a parallel
                 multifrontal approach",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "36",
  number =       "1",
  pages =        "3--15",
  month =        jan,
  year =         "2010",
  CODEN =        "PACOEJ",
  DOI =          "https://doi.org/10.1016/j.parco.2009.06.001",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  bibdate =      "Thu Sep 2 17:51:12 MDT 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 http://www.sciencedirect.com/science/journal/01678191",
  acknowledgement = ack-nhfb,
  fjournal =     "Parallel Computing",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191",
}

@InCollection{Duff:2010:BGW,
  author =       "Iain S. Duff",
  booktitle =    "{G. W. Stewart}: selected works with commentaries",
  title =        "Biography of {G. W. Stewart}",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  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",
  series =       "Contemp. Mathematicians",
  acknowledgement = ack-nhfb,
}

@Article{Duff:2010:BTF,
  author =       "Iain S. Duff and Bora U{\c{c}}ar",
  title =        "On the Block Triangular Form of Symmetric Matrices",
  journal =      j-SIAM-REVIEW,
  volume =       "52",
  number =       "3",
  pages =        "455--470",
  month =        "????",
  year =         "2010",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/080720036",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "05C50 (05C70 05D15 65F50)",
  MRnumber =     "2680542 (2011j:05198)",
  MRreviewer =   "Carlos M. da Fonseca",
  bibdate =      "Sun Nov 28 22:10:52 MST 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIREV/52/3;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
}

@Article{Tuminaro:2010:SIC,
  author =       "Ray Tuminaro and Xiao-Chuan Cai and Kirk Jordan and
                 Tom Manteuffel and Homer Walker and Iain Duff and Tim
                 Kelley and Steve McCormick and Carol Woodward and
                 Howard Elman and David Keyes and Michael Overton and
                 Panayot Vassilevski and Roland Freund and Misha Kilmer
                 and David Silvester and Irad Yavneh",
  title =        "Special Issue: {2008 Copper Mountain Conference}",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "32",
  number =       "1",
  pages =        "VII--VII",
  month =        "????",
  year =         "2010",
  CODEN =        "SJOCE3",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Tue Jun 4 09:26:54 MDT 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{Bai:2011:PSI,
  author =       "Zhong-Zhi Bai and Michele Benzi and Iain S. Duff and
                 Andreas Frommer and Zhong-Ci Shi",
  title =        "Preface [{Special issue: Devoted to the 2nd NASC 08
                 Conference in Nanjing (NSC), November 2--5, 2008}]",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "434",
  number =       "11",
  pages =        "2223--2224",
  day =          "1",
  month =        jun,
  year =         "2011",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/j.laa.2010.11.028",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "15-06 (65-06)",
  MRnumber =     "2776792",
  bibdate =      "Wed Mar 30 23:04:17 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 http://www.sciencedirect.com/science/journal/00243795",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Duff:2011:ATE,
  author =       "Iain Duff and Dubravka Mijuca",
  title =        "On accurate and time efficient solution of
                 primal-mixed finite element equations in multiscale
                 solid mechanics",
  journal =      j-INT-J-NUMER-METHODS-BIOMED-ENG,
  volume =       "27",
  number =       "1",
  pages =        "95--112",
  year =         "2011",
  DOI =          "https://doi.org/10.1002/cnm.1296",
  ISSN =         "2040-7947",
  ISSN-L =       "2040-7939",
  bibdate =      "Wed Apr 27 09:17:26 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  abstract =     "In order to identify the best technique to solve a
                 class of geometrically multiscale model problems in
                 thermoelasticity, we examine a combination of a
                 primal-mixed finite element approach and direct sparse
                 solvers and matrix scaling routines. The criteria for
                 optimality are robustness, accuracy and execution time.
                 It will be shown that the present finite element
                 approach, where displacement and stress variables are
                 simultaneously solved from large-scale indefinite
                 poorly scaled systems of equations using the sparse HSL
                 solver MA57 with the aid of the matrix scaling routines
                 MC64 or MC30 during the factorization process, enables
                 a reliable solution even if hexahedral finite elements
                 in a mesh differ in size up to six orders of magnitude.
                 A number of tests in multiscale elasticity and
                 thermoelasticity are examined to test the accuracy and
                 execution time efficiency of the proposed solution
                 approach on a standard PC computing platform.",
  acknowledgement = ack-nhfb,
  classmath =    "*74-99 (Mechanics of deformable solids)",
  fjournal =     "International Journal for Numerical Methods in
                 Biomedical Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)2040-7947",
  keywords =     "geometrically multiscale; indefinite; primal-mixed
                 finite element; reliable; sparse; thermoelasticity;
                 time efficient",
}

@Article{Duff:2011:DIA,
  author =       "Iain S. Duff and Kamer Kaya and Bora U{\c{c}}car",
  title =        "Design, implementation, and analysis of maximum
                 transversal algorithms",
  journal =      j-TOMS,
  volume =       "38",
  number =       "2",
  pages =        "13:1--13:31",
  month =        dec,
  year =         "2011",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/2049673.2049677",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65F50 (05C70 05C85)",
  MRnumber =     "2893028",
  bibdate =      "Fri Dec 30 17:43:07 MST 2011",
  bibsource =    "http://www.acm.org/pubs/contents/journals/toms/;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  abstract =     "We report on careful implementations of seven
                 algorithms for solving the problem of finding a maximum
                 transversal of a sparse matrix. We analyze the
                 algorithms and discuss the design choices. To the best
                 of our knowledge, this is the most comprehensive
                 comparison of maximum transversal algorithms based on
                 augmenting paths. Previous papers with the same
                 objective either do not have all the algorithms
                 discussed in this article or they used nonuniform
                 implementations from different researchers. We use a
                 common base to implement all of the algorithms and
                 compare their relative performance on a wide range of
                 graphs and matrices. We systematize, develop, and use
                 several ideas for enhancing performance.",
  acknowledgement = ack-nhfb,
  articleno =    "13",
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
}

@Article{Guo:2011:SGC,
  author =       "Xue-Ping Guo and Iain S. Duff",
  title =        "Semilocal and global convergence of the {Newton--HSS}
                 method for systems of nonlinear equations",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "18",
  number =       "3",
  pages =        "299--315",
  month =        may,
  year =         "2011",
  CODEN =        "NLAAEM",
  DOI =          "https://doi.org/10.1002/nla.713",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  MRclass =      "65H10",
  MRnumber =     "2760054 (2012i:65096)",
  MRreviewer =   "Martin Hermann",
  bibdate =      "Wed Apr 27 09:05:22 MDT 2011",
  bibsource =    "http://www.interscience.wiley.com/jpages/1070-5325;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.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 Apr 2010",
}

@Article{Tuminaro:2011:SSC,
  author =       "Ray Tuminaro and Michele Benzi and Xiao-Chuan Cai and
                 Iain Duff and Howard Elman and Roland Freund and Kirk
                 Jordan and Tim Kelley and David Keyes and Misha Kilmer
                 and Sven Leyffer and Tom Manteuffel and Steve McCormick
                 and David Silvester and Homer Walker",
  title =        "Special Section: {2010 Copper Mountain Conference}",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "33",
  number =       "5",
  pages =        "2685--2685",
  month =        "????",
  year =         "2011",
  CODEN =        "SJOCE3",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Thu Feb 9 06:07:10 MST 2012",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/33/5;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  URL =          "http://epubs.siam.org/sisc/resource/1/sjoce3/v33/i5/p2685_s1",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
  onlinedate =   "October 25, 2011",
}

@Article{Amestoy:2012:CIE,
  author =       "Patrick R. Amestoy and Iain S. Duff and Jean-Yves
                 L'Excellent and Yves Robert and Fran{\c{c}}ois-Henry
                 Rouet and Bora U{\c{c}}ar",
  title =        "On Computing Inverse Entries of a Sparse Matrix in an
                 Out-of-Core Environment",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "34",
  number =       "4",
  pages =        "A1975--A1999",
  month =        "????",
  year =         "2012",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/100799411",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65F50 (65F05 65Y20)",
  MRnumber =     "2970393",
  MRreviewer =   "R. P. Tewarson",
  bibdate =      "Tue Oct 30 14:49:05 MDT 2012",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/34/4;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
  onlinedate =   "January 2012",
}

@Article{Bai:2012:IMT,
  author =       "Zhong-Zhi Bai and Iain S. Duff and Lothar Reichel and
                 Zhong-Ci Shi",
  title =        "Innovative methods and theories in numerical algebra",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "19",
  number =       "6",
  pages =        "893--895",
  month =        dec,
  year =         "2012",
  CODEN =        "NLAAEM",
  DOI =          "https://doi.org/10.1002/nla.1857",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  bibdate =      "Thu Mar 7 07:05:42 MST 2013",
  bibsource =    "http://www.interscience.wiley.com/jpages/1070-5325;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.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 =   "26 Sep 2012",
  remark =       "Special issue on innovative methods and theories in
                 numerical algebra.",
}

@InCollection{Duff:2012:CPS,
  author =       "Iain Duff and Bora U{\c{c}}ar",
  editor =       "Olaf Schenk",
  booktitle =    "Combinatorial scientific computing",
  title =        "Combinatorial problems in solving linear systems",
  publisher =    pub-CRC,
  address =      pub-CRC:adr,
  pages =        "21--68",
  year =         "2012",
  DOI =          "https://doi.org/10.1201/b11644-3",
  ISBN =         "1-4398-2735-4 (print), 1-4398-2736-2 (e-book)",
  ISBN-13 =      "978-1-4398-2735-2 (print), 1439827362 (e-book)",
  MRclass =      "65Fxx (05C50 15A06)",
  MRnumber =     "2952748",
  bibdate =      "Fri Nov 9 17:56:57 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  series =       "Chapman \& Hall/CRC Comput. Sci. Ser.",
  acknowledgement = ack-nhfb,
}

@Article{Duff:2012:EES,
  author =       "Iain S. Duff",
  title =        "{European Exascale Software Initiative}: Numerical
                 Libraries, Solvers and Algorithms",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "7155",
  pages =        "295--304",
  year =         "2012",
  CODEN =        "LNCSD9",
  DOI =          "https://doi.org/10.1007/978-3-642-29737-3_34",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  bibdate =      "Mon Dec 24 07:27:00 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/lncs2012b.bib",
  URL =          "http://link.springer.com/content/pdf/10.1007/978-3-642-29737-3_34",
  acknowledgement = ack-nhfb,
  book-DOI =     "https://doi.org/10.1007/978-3-642-29737-3",
  book-URL =     "http://www.springerlink.com/content/978-3-642-29737-3",
  fjournal =     "Lecture Notes in Computer Science",
  journal-URL =  "http://link.springer.com/bookseries/558",
}

@Article{Duff:2012:TPN,
  author =       "Iain Duff and Efstratios Gallopoulos and Daniela di
                 Serafino and Bora Ucar",
  title =        "Topic 10: Parallel Numerical Algorithms",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "7484",
  pages =        "550--550",
  year =         "2012",
  CODEN =        "LNCSD9",
  DOI =          "https://doi.org/10.1007/978-3-642-32820-6_54",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  bibdate =      "Mon Dec 24 07:53:29 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/lncs2012h.bib",
  URL =          "http://link.springer.com/content/pdf/10.1007/978-3-642-32820-6_54",
  acknowledgement = ack-nhfb,
  book-DOI =     "https://doi.org/10.1007/978-3-642-32820-6",
  book-URL =     "http://www.springerlink.com/content/978-3-642-32820-6",
  fjournal =     "Lecture Notes in Computer Science",
  journal-URL =  "http://link.springer.com/bookseries/558",
}

@Article{Duff:2013:PBS,
  author =       "Iain S. Duff and Kamer Kaya",
  title =        "Preconditioners based on strong subgraphs",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "40",
  pages =        "225--248",
  year =         "2013",
  CODEN =        "????",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  MRclass =      "65F08 (05C70 65F10 65F50)",
  MRnumber =     "3081571",
  MRreviewer =   "Bruno Carpentieri",
  bibdate =      "Mon Mar 31 18:49:50 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/etna.bib",
  URL =          "http://etna.mcs.kent.edu//vol.40.2013/pp225-248.dir/pp225-248.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Electronic Transactions on Numerical Analysis",
  journal-URL =  "http://etna.mcs.kent.edu/",
}

@Article{Amestoy:2015:PCE,
  author =       "Patrick R. Amestoy and Iain S. Duff and Jean-Yves
                 L'Excellent and Fran{\c{c}}ois-Henry Rouet",
  title =        "Parallel Computation of Entries of {$ A^{-1} $}",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "37",
  number =       "2",
  pages =        "C268--C284",
  month =        "????",
  year =         "2015",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/120902616",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65F05 (05C50 65F50 65Y05 68W10)",
  MRnumber =     "3341134",
  MRreviewer =   "Mohammad Taghi Darvishi",
  bibdate =      "Wed Jun 10 14:11:28 MDT 2015",
  bibsource =    "http://epubs.siam.org/toc/sjoce3/37/2;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
  onlinedate =   "January 2015",
}

@Article{Arioli:2015:PLL,
  author =       "Mario Arioli and Iain S. Duff",
  title =        "Preconditioning Linear Least-Squares Problems by
                 Identifying a Basis Matrix",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "37",
  number =       "5",
  pages =        "S544--S561",
  month =        "????",
  year =         "2015",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/140975358",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65F08 (05C50 65F20 65F50 65K10)",
  MRnumber =     "3504563",
  MRreviewer =   "Valeria Ruggiero",
  bibdate =      "Sat Oct 31 07:53:41 MDT 2015",
  bibsource =    "http://epubs.siam.org/toc/sjoce3/37/5;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
  onlinedate =   "January 2015",
  remark =       "Special Section: 2014 Copper Mountain Conference",
}

@Article{Bai:2015:PSI,
  author =       "Zhong-Zhi Bai and Iain S. Duff",
  title =        "Preface to the special issue on ``{Practical} methods
                 and rigorous theories in numerical algebra and
                 scientific computing''",
  journal =      j-J-ENG-MATH,
  volume =       "93",
  pages =        "1--2",
  year =         "2015",
  CODEN =        "JLEMAU",
  DOI =          "https://doi.org/10.1007/s10665-014-9780-8",
  ISSN =         "0022-0833 (print), 1573-2703 (electronic)",
  ISSN-L =       "0022-0833",
  MRclass =      "65-06",
  MRnumber =     "3386088",
  bibdate =      "Mon Jan 4 13:45:51 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Eng. Math.",
  fjournal =     "Journal of Engineering Mathematics",
  journal-URL =  "http://www.springerlink.com/content/0022-0833",
}

@Article{Drummond:2015:PSB,
  author =       "L. A. Drummond and Iain S. Duff and Ronan Guivarch and
                 Daniel Ruiz and Mohamed Zenadi",
  title =        "Partitioning strategies for the block {Cimmino}
                 algorithm",
  journal =      j-J-ENG-MATH,
  volume =       "93",
  pages =        "21--39",
  year =         "2015",
  CODEN =        "JLEMAU",
  DOI =          "https://doi.org/10.1007/s10665-014-9699-0",
  ISSN =         "0022-0833 (print), 1573-2703 (electronic)",
  ISSN-L =       "0022-0833",
  MRclass =      "65F50 (05C65 15A06)",
  MRnumber =     "3386090",
  MRreviewer =   "Bruno Carpentieri",
  bibdate =      "Mon Jan 4 13:46:11 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Eng. Math.",
  fjournal =     "Journal of Engineering Mathematics",
  journal-URL =  "http://www.springerlink.com/content/0022-0833",
}

@Article{Duff:2015:ABC,
  author =       "Iain S. Duff and Ronan Guivarch and Daniel Ruiz and
                 Mohamed Zenadi",
  title =        "The Augmented Block {Cimmino} Distributed Method",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "37",
  number =       "3",
  pages =        "A1248--A1269",
  month =        "????",
  year =         "2015",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/140961444",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65F50 (05C50 05C70 65F10)",
  MRnumber =     "3345350",
  MRreviewer =   "Luca Gemignani",
  bibdate =      "Sat Aug 8 06:48:44 MDT 2015",
  bibsource =    "http://epubs.siam.org/toc/sjoce3/37/3;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
  onlinedate =   "January 2015",
}

@InProceedings{Liu:2016:SFA,
  author =       "Weifeng Liu and Ang Li and Jonathan Hogg and Iain S.
                 Duff and Brian Vinter",
  booktitle =    "{Euro-Par 2016}: parallel processing",
  title =        "A synchronization-free algorithm for parallel sparse
                 triangular solves",
  volume =       "9833",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "617--630",
  year =         "2016",
  DOI =          "https://doi.org/10.1007/978-3-319-43659-3_45",
  MRclass =      "65F05 (65F50 65Y05 68M07)",
  MRnumber =     "3568394",
  bibdate =      "Tue Jan 2 06:07:08 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  series =       ser-LNCS,
  acknowledgement = ack-nhfb,
}

@Book{Duff:2017:DMS,
  author =       "I. S. Duff and A. M. Erisman and J. K. Reid",
  title =        "Direct Methods for Sparse Matrices",
  publisher =    pub-OXFORD,
  address =      pub-OXFORD:adr,
  edition =      "Second",
  pages =        "xx + 429",
  year =         "2017",
  DOI =          "https://doi.org/10.1093/acprof:oso/9780198508380.001.0001",
  ISBN =         "978-019-850-8-3-8-0",
  ISBN-13 =      "978-0-19-850838-0",
  MRclass =      "65F05 (65-01 65F50)",
  MRnumber =     "3616292",
  bibdate =      "Tue Jan 2 06:08:47 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  series =       "Numerical Mathematics and Scientific Computation",
  acknowledgement = ack-nhfb,
}

@Article{Liu:2017:FSF,
  author =       "Weifeng Liu and Ang Li and Jonathan D. Hogg and Iain
                 S. Duff and Brian Vinter",
  title =        "Fast synchronization-free algorithms for parallel
                 sparse triangular solves with multiple right-hand
                 sides",
  journal =      j-CCPE,
  volume =       "29",
  number =       "21",
  pages =        "??--??",
  day =          "10",
  month =        nov,
  year =         "2017",
  CODEN =        "CCPEBO",
  DOI =          "https://doi.org/10.1002/cpe.4244",
  ISSN =         "1532-0626 (print), 1532-0634 (electronic)",
  ISSN-L =       "1532-0626",
  bibdate =      "Sat Dec 30 09:11:58 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/ccpe.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Concurrency and Computation: Practice and Experience",
  journal-URL =  "http://www.interscience.wiley.com/jpages/1532-0626",
}

@Article{Duff:2018:ESC,
  author =       "Iain Duff and Jonathan Hogg and Florent Lopez",
  title =        "Experiments with sparse {Cholesky} using a sequential
                 task-flow implementation",
  journal =      j-NUMER-ALGEBRA-CONTROL-OPTIM,
  volume =       "8",
  number =       "2",
  pages =        "237--260",
  year =         "2018",
  DOI =          "https://doi.org/10.3934/naco.2018014",
  ISSN =         "2155-3289 (print), 2155-3297 (electronic)",
  ISSN-L =       "2155-3297",
  MRclass =      "65F50 (65Y05)",
  MRnumber =     "3811581",
  MRreviewer =   "A. Bultheel",
  bibdate =      "Fri Jan 25 18:47:22 2019",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  URL =          "http://aimsciences.org/article/doi/10.3934/naco.2018014",
  acknowledgement = ack-nhfb,
  ajournal =     "Numer. Algebra Control Optim.",
  fjournal =     "Numerical Algebra, Control and Optimization",
  journal-URL =  "http://aimsciences.org/journal/2155-3289",
}

@InCollection{Duff:2018:ESCb,
  author =       "Iain Duff and Florent Lopez",
  booktitle =    "Parallel processing and applied mathematics. {Part
                 I}",
  title =        "Experiments with sparse {Cholesky} using a
                 parametrized task graph implementation",
  volume =       "10777",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "197--206",
  year =         "2018",
  DOI =          "https://doi.org/10.1007/978-3-319-78024-5",
  MRclass =      "65F50 (05C90 65F05 65Y05)",
  MRnumber =     "3781117",
  bibdate =      "Fri Jan 25 18:47:22 2019",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  series =       ser-LNCS,
  acknowledgement = ack-nhfb,
}

@InCollection{Duff:2018:SDS,
  author =       "Iain Duff and Florent Lopez and Stojce Nakov",
  booktitle =    "Numerical analysis and optimization",
  title =        "Sparse direct solution on parallel computers",
  volume =       "235",
  pages =        "67--98",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  year =         "2018",
  MRclass =      "65F50 (65Y05)",
  MRnumber =     "3811382",
  bibdate =      "Fri Jan 25 18:47:22 2019",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  series =       "Springer Proc. Math. Stat.",
  acknowledgement = ack-nhfb,
}

@Article{Cayrols:2020:PSP,
  author =       "S{\'e}bastien Cayrols and Iain S. Duff and Florent
                 Lopez",
  title =        "Parallelization of the solve phase in a task-based
                 {Cholesky} solver using a sequential task flow model",
  journal =      j-IJHPCA,
  volume =       "34",
  number =       "3",
  pages =        "340--356",
  day =          "1",
  month =        may,
  year =         "2020",
  CODEN =        "IHPCFL",
  DOI =          "https://doi.org/10.1177/1094342019888567",
  ISSN =         "1094-3420 (print), 1741-2846 (electronic)",
  ISSN-L =       "1094-3420",
  bibdate =      "Sat Jul 25 09:38:32 MDT 2020",
  bibsource =    "http://hpc.sagepub.com/;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/ijsa.bib",
  URL =          "https://journals.sagepub.com/doi/full/10.1177/1094342019888567",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal of High Performance Computing
                 Applications",
}

@Article{Davis:2020:DIP,
  author =       "Timothy A. Davis and Iain S. Duff and Stojce Nakov",
  title =        "Design and Implementation of a Parallel {Markowitz}
                 Threshold Algorithm",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "41",
  number =       "2",
  pages =        "573--590",
  month =        "????",
  year =         "2020",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/19M1245815",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F50",
  MRnumber =     "4092324",
  MRreviewer =   "Bruno Carpentieri",
  bibdate =      "Fri Mar 12 10:18:01 MST 2021",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/41/2;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
  onlinedate =   "January 2020",
}

@Article{Duff:2020:NSS,
  author =       "Iain Duff and Jonathan Hogg and Florent Lopez",
  title =        "A New Sparse {$ L D L^T $} Solver Using A Posteriori
                 Threshold Pivoting",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "42",
  number =       "2",
  pages =        "C23--C42",
  month =        "????",
  year =         "2020",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/18M1225963",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65F50 (65F05 68W10)",
  MRnumber =     "4074015",
  bibdate =      "Thu May 28 12:20:36 MDT 2020",
  bibsource =    "http://epubs.siam.org/toc/sjoce3/42/2;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
  onlinedate =   "January 2020",
}

@Article{Duff:2023:RRB,
  author =       "Iain Duff and Philippe Leleux and Daniel Ruiz and F.
                 Sukru Torun",
  title =        "Row Replicated Block {Cimmino}",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "45",
  number =       "4",
  pages =        "C207--C232",
  month =        "????",
  year =         "2023",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/22M1487710",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65F50 (05C70 65F10 68W10)",
  MRnumber =     "4612148",
  bibdate =      "Sat Sep 23 14:31:06 2023",
  bibsource =    "http://epubs.siam.org/toc/sjoce3/45,/4;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  URL =          "https://epubs.siam.org/doi//doi/10.1137/22M1487710",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

%%% ====================================================================
%%% Additional references needed to satisfy citation cross-references
%%% above:

@Proceedings{Duff:1979:CGM,
  editor =       "Iain S. Duff",
  booktitle =    "Conjugate gradient methods and similar techniques",
  title =        "Conjugate gradient methods and similar techniques",
  type =         "Report",
  institution =  inst-HARWELL,
  publisher =    pub-HMSO,
  address =      pub-HMSO:adr,
  year =         "1979",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  series =       "AERE R9636",
  acknowledgement = ack-nhfb,
}

@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,
  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{Fosdick:1979:PEN,
  editor =       "Lloyd Dudley Fosdick",
  booktitle =    "{Performance evaluation of numerical software:
                 proceedings of the IFIP TC 2.5 Working Conference on
                 Performance Evaluation of Numerical Software}",
  title =        "{Performance evaluation of numerical software:
                 proceedings of the IFIP TC 2.5 Working Conference on
                 Performance Evaluation of Numerical Software}",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "xi + 335",
  year =         "1979",
  ISBN =         "0-444-85330-8",
  ISBN-13 =      "978-0-444-85330-1",
  LCCN =         "QA297 .I18 1978",
  bibdate =      "Mon Jan 2 12:24:58 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/m/more-jorge.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  meetingname =  "IFIP TC 2.5 Working Conference on Performance
                 Evaluation of Numerical Software (1978: Baden,
                 Austria)",
  remark =       "Organized by IFIP Technical Committee 2.5, Programming
                 (Numerical Software), International Federation for
                 Information Processing.",
  subject =      "Numerical analysis; Computer programs; Evaluation;
                 Congresses",
}

@Book{Absi:1980:NME,
  editor =       "{\'E}lie Absi and R. Glowinski",
  title =        "Numerical methods for engineering: 2nd International
                 Congress = {M}{\'e}thodes num{\'e}riques dans les
                 sciences de l'ing{\'e}nieur: 2e Congr{\`e}s
                 international",
  publisher =    pub-DUNOD,
  address =      pub-DUNOD:adr,
  pages =        "????",
  year =         "1980",
  ISBN =         "2-04-012165-X (vol. 1), 2-04-012194-3 (vol. 2)",
  ISBN-13 =      "978-2-04-012165-5 (vol. 1), 978-2-04-012194-5 (vol.
                 2)",
  LCCN =         "TA329 .C64 1980",
  bibdate =      "Mon Jan 2 12:28:07 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  meetingname =  "Colloque international sur les m{\'e}thodes
                 num{\'e}riques dans les sciences de l'ing{\'e}nieur
                 (2nd: 1980: Paris)",
  remark =       "English or French.. Organized by the Groupe pour
                 l'avancement des m{\'e}thodes num{\'e}riques dans les
                 sciences de l'ing{\'e}nieur.",
  subject =      "Engineering mathematics; Congresses; Numerical
                 analysis",
}

@Proceedings{Glowinski:1980:CMA,
  editor =       "R. Glowinski and Jacques Louis Lions",
  booktitle =    "{Computing methods in applied sciences and
                 engineering: proceedings of the fourth International
                 Symposium on Computing Methods in Applied Sciences and
                 Engineering, Versailles, France, December 10--14,
                 1979}",
  title =        "{Computing methods in applied sciences and
                 engineering: proceedings of the fourth International
                 Symposium on Computing Methods in Applied Sciences and
                 Engineering, Versailles, France, December 10--14,
                 1979}",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "ix + 724",
  year =         "1980",
  ISBN =         "0-444-86008-8",
  ISBN-13 =      "978-0-444-86008-8",
  LCCN =         "TA345 .I57 1979",
  bibdate =      "Mon Jan 2 12:32:58 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  meetingname =  "International Symposium on Computing Methods in
                 Applied Sciences and Engineering, 4th, Versailles,
                 1979.",
  remark =       "English or French.",
  subject =      "Engineering; Data processing; Congresses; Science",
}

@Proceedings{Duff:1981:SMT,
  editor =       "Iain S. Duff",
  booktitle =    "Sparse Matrices and Their Uses: Based on the
                 Proceedings of the {IMA} Numerical Analysis Group
                 Conference \slash{} Organised by the Institute of
                 Mathematics and Its Applications and held at the
                 University of Reading, 9th--11th July, 1980",
  title =        "Sparse Matrices and Their Uses: Based on the
                 Proceedings of the {IMA} Numerical Analysis Group
                 Conference \slash{} Organised by the Institute of
                 Mathematics and Its Applications and held at the
                 University of Reading, 9th--11th July, 1980",
  publisher =    pub-AP,
  address =      pub-AP:adr,
  pages =        "xii + 387",
  year =         "1981",
  ISBN =         "0-12-223280-1",
  ISBN-13 =      "978-0-12-223280-0",
  LCCN =         "QA188 .S63",
  MRclass =      "65-06 (65Fxx)",
  MRnumber =     "83i:65003",
  bibdate =      "Wed Jan 17 09:22:32 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Proceedings{CRI:1982:SEC,
  editor =       "{CRI}",
  booktitle =    "{Science, Engineering and the CRAY-1, Proceedings of a
                 Cray Research Inc. Symposium}",
  title =        "{Science, Engineering and the CRAY-1, Proceedings of a
                 Cray Research Inc. Symposium}",
  publisher =    "{Cray Research, Inc.}",
  year =         "1982",
  bibdate =      "Wed Sep 22 10:47:57 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Book{Hennart:1982:NAP,
  editor =       "J. P. (Jean Pierre) Hennart",
  booktitle =    "{Numerical analysis: proceedings of the third IIMAS
                 workshop held at Cocoyoc, Mexico, January 1981}",
  title =        "{Numerical analysis: proceedings of the third IIMAS
                 workshop held at Cocoyoc, Mexico, January 1981}",
  volume =       "909",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "vii + 247",
  year =         "1982",
  ISBN =         "0-387-11193-X (paperback)",
  ISBN-13 =      "978-0-387-11193-3 (paperback)",
  LCCN =         "QA3 .L28 vol. 909; QA297",
  bibdate =      "Mon Jan 2 12:36:08 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Lecture notes in mathematics",
  acknowledgement = ack-nhfb,
  remark =       "Papers presented at the Third Workshop on Numerical
                 Analysis held in Cocoyoc, Morelos, Mexico, January
                 19--23, 1981.",
  subject =      "Numerical analysis; Congresses",
}

@Book{Trottenberg:1982:MMP,
  editor =       "U. Trottenberg and W. Hackbusch",
  booktitle =    "{Multigrid methods: proceedings of the conference held
                 at K{\"o}ln-Porz, November 23--27, 1981}",
  title =        "{Multigrid methods: proceedings of the conference held
                 at K{\"o}ln-Porz, November 23--27, 1981}",
  volume =       "960",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "vii + 652",
  year =         "1982",
  ISBN =         "3-540-11955-8 (Berlin), 0-387-11955-8 (New York)",
  ISBN-13 =      "978-3-540-11955-5 (Berlin), 978-0-387-11955-7 (New
                 York)",
  LCCN =         "QA3 .L28 no.960; QA3 .L35; QA379 .M84 1981; QA3 .L28;
                 QA1 .L471; QA3 .L4",
  bibdate =      "Mon Jan 2 12:51:20 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 melvyl.cdlib.org:210/CDL90",
  series =       ser-LECT-NOTES-MATH,
  acknowledgement = ack-nhfb,
  remark =       "Introductory and specific scientific papers presented
                 at the International Conference on Multigrid Methods.",
  subject =      "Boundary value problems; Congresses; Differential
                 equations, Elliptic; Nets (Mathematics)",
}

@Proceedings{Watson:1982:NAP,
  editor =       "George Alistair Watson",
  booktitle =    "{Numerical Analysis: Proceedings of the 9th Biennial
                 Conference, held at Dundee, Scotland, June 23--26,
                 1981}",
  title =        "{Numerical Analysis: Proceedings of the 9th Biennial
                 Conference, held at Dundee, Scotland, June 23--26,
                 1981}",
  volume =       "912",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  bookpages =    "xi + 245",
  pages =        "xi + 245",
  year =         "1982",
  CODEN =        "LNMAA2",
  DOI =          "https://doi.org/10.1007/BFb0093144",
  ISBN =         "0-387-11199-9 (softcover), 3-540-11199-9 (softcover),
                 3-540-39009-X (e-book)",
  ISBN-13 =      "978-0-387-11199-5 (softcover), 978-3-540-11199-3
                 (softcover), 978-3-540-39009-1 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  LCCN =         "QA3 .L28 no. 912; QA1 .L471; QA297 .D915n 1981",
  bibdate =      "Sat Oct 29 15:16:39 1994",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 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/m/more-jorge.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/lnm1980.bib;
                 library.ox.ac.uk:210/ADVANCE;
                 melvyl.cdlib.org:210/CDL90",
  series =       ser-LECT-NOTES-MATH,
  URL =          "http://www.springerlink.com/content/978-3-540-39009-1",
  acknowledgement = ack-nhfb,
  subject =      "Analisi numerica; Congressi; 1981; Dundee; Numerical
                 analysis; Congresses",
  tableofcontents = "P. H. Calamai and A. R. Conn / A second-order
                 method for solving the continuous multifacility
                 location problem / 1--25 \\
                 M. P. Cullinan and M. J. D. Powell / Data smoothing by
                 divided differences / 26--37 \\
                 G. Dahlquist / On the control of the global error in
                 stiff initial value problems / 38--49 \\
                 L. M. Delves / Chebyshev methods for integral and
                 differential equations / 50--63 \\
                 J. Douglas, Jr. / Simulation of miscible displacement
                 in porous media by a modified method of characteristic
                 procedure / 64--70 \\
                 I. S. Duff / Full matrix techniques in sparse Gaussian
                 elimination / 71--84 \\
                 R. Fletcher / Second order corrections for
                 non-differentiable optimization / 85--114 \\
                 C. W. Gear and K. A. Gallivan / Automatic methods for
                 highly oscillatory ordinary differential equations /
                 115--124 \\
                 G. H. Golub and M. L. Overton / Convergence of a
                 two-stage Richardson iterative procedure for solving
                 systems of linear equations / 125--139 \\
                 J. G. Hayes: Curved knot lines and surfaces with ruled
                 segments / 140--156 \\
                 P. J. van der Houwen / On the time integration of
                 parabolic differential equations / 157--168 \\
                 T. E. Hull / Precision control, exception handling and
                 a choice of numerical algorithms / 169--178 \\
                 P. Lancaster / Generalized Hermitian matrices: a new
                 frontier for numerical analysis? / 179--189 \\
                 R. J. Y. McLeod / Some applications of geometry in
                 numerical analysis / 190--229 \\
                 L. B. Wahlbin / A quasioptimal estimate in piecewise
                 polynomial Galerkin approximation of parabolic problems
                 / 230 --245 \\
                 Back matter / 249--251",
}

@Proceedings{Pereyra:1983:NMP,
  editor =       "V. (Victor) Pereyra and A. (Alfonso) Reinoza",
  booktitle =    "{Numerical methods: proceedings of the international
                 workshop held at Caracas, June 14--18, 1982}",
  title =        "{Numerical methods: proceedings of the international
                 workshop held at Caracas, June 14--18, 1982}",
  volume =       "1005",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "296",
  year =         "1983",
  ISBN =         "0-387-12334-2",
  ISBN-13 =      "978-0-387-12334-9",
  LCCN =         "QA3 .L35; QA297 .N86 1982; QA3 .L28 no. 1005; QA3
                 .L28; QA1 .L471; QA3 .L4",
  bibdate =      "Mon Jan 2 12:53:58 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 melvyl.cdlib.org:210/CDL90",
  series =       ser-LECT-NOTES-MATH,
  acknowledgement = ack-nhfb,
  remark =       "Workshop on Numerical Methods \ldots{} held \ldots{}
                 Caracas, Venezuela, June 14--18, 1982 \ldots{} sequel
                 to two \ldots{} meetings held in Caracas in 1974 and
                 1980, and to three meetings held in \ldots{} Mexico.",
  subject =      "Numerical analysis; Congresses",
}

@Book{Cowell:1984:SDM,
  editor =       "Wayne R. Cowell",
  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/duff-iain-s.bib",
  series =       "Prentice-Hall Series in Computational Mathematics,
                 Cleve Moler, Advisor",
  acknowledgement = ack-nhfb,
}

@Book{Engquist:1984:PSM,
  editor =       "Bj{\"o}rn Engquist and Tom Smedsaas and N. N. (Nikolai
                 Nikolaevich) Yanenko",
  booktitle =    "{PDE software: modules, interfaces, and systems:
                 proceedings of the IFIP TC 2 Working Conference on PDE
                 Software---Modules, Interfaces, and Systems,
                 S{\"o}derk{\"o}ping, Sweden, 22--26 August, 1983}",
  title =        "{PDE software: modules, interfaces, and systems:
                 proceedings of the IFIP TC 2 Working Conference on PDE
                 Software---Modules, Interfaces, and Systems,
                 S{\"o}derk{\"o}ping, Sweden, 22--26 August, 1983}",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "ix + 453",
  year =         "1984",
  ISBN =         "0-444-87620-0",
  ISBN-13 =      "978-0-444-87620-1",
  LCCN =         "QA377 .I44 1983; QA377.I44",
  bibdate =      "Mon Jan 2 12:57:12 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 library.mit.edu:9909/mit01",
  acknowledgement = ack-nhfb,
  meetingname =  "IFIP TC 2 Working Conference on PDE Software: Modules,
                 Interfaces, and Systems (1983: S{\"o}derk{\"o}ping,
                 Sweden)",
  remark =       "Dedicated to the memory of N. N. Yanenko.",
  subject =      "Differential equations, Partial; Computer programs;
                 Congresses; Numerical solutions",
}

@Proceedings{Glowinski:1984:CMA,
  editor =       "R. Glowinski and J.-L. Lions",
  booktitle =    "Computing Methods in Applied Sciences and Engineering,
                 {VI}: Proceedings of the Sixth International Symposium
                 on Computing Methods in Applied Sciences and
                 Engineering, Versailles, France, December 12--16,
                 1983",
  title =        "Computing Methods in Applied Sciences and Engineering,
                 {VI}: Proceedings of the Sixth International Symposium
                 on Computing Methods in Applied Sciences and
                 Engineering, Versailles, France, December 12--16,
                 1983",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "xiii + 728",
  year =         "1984",
  ISBN =         "0-444-87597-2",
  ISBN-13 =      "978-0-444-87597-6",
  LCCN =         "QA297 .I57 1983",
  bibdate =      "Mon Jan 15 11:05:19 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Book{Golub:1984:SNA,
  editor =       "Gene H. Golub",
  booktitle =    "Studies in Numerical Analysis",
  title =        "Studies in Numerical Analysis",
  volume =       "24",
  publisher =    pub-MATH-ASSOC-AMER,
  address =      pub-MATH-ASSOC-AMER:adr,
  pages =        "x + 415",
  year =         "1984",
  ISBN =         "0-88385-126-1 (v. 1), 0-88385-100-8 (set)",
  ISBN-13 =      "978-0-88385-126-5 (v. 1), 978-0-88385-100-5 (set)",
  LCCN =         "QA297 .S83 1984",
  MRclass =      "65-06",
  MRnumber =     "88i:65007",
  bibdate =      "Sat Oct 22 17:16:36 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/henrici-peter.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/m/more-jorge.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  series =       "Studies in mathematics",
  acknowledgement = ack-nhfb,
  author-dates = "Gene Howard Golub (February 29, 1932--November 16,
                 2007)",
  keywords =     "numerical analysis",
  tableofcontents = "Gene H. Golub / Preface \\
                 James H. Wilkinson / The perfidious polynomial \\
                 Jorge J. Mor{\'e} and D. C. Sorensen / Newton's method
                 \\
                 Iain S. Duff / Research directions in sparse matrix
                 computations \\
                 Walter Gautschi / Questions of numerical conditions
                 related to polynomials \\
                 Paul Concus, Gene H. Golub, and Dianne P. O'Leary / A
                 generalized conjugate gradient method for the numerical
                 solution of elliptic partial differential equations \\
                 J. Barkley Rosser / Solving differential equations on a
                 hand held programmable calculator \\
                 V. Pereyra / Finite difference solution of boundary
                 value problems in ordinary differential equations \\
                 Dennis C. Jespersen / Multigrid methods for partial
                 differential equations \\
                 Paul N. Swarztrauber / Fast Poisson solvers \\
                 Peter Henrici / Poisson's equation in a hypercube:
                 discrete Fourier methods, eigenfunction expansions,
                 Pad{\'e} approximation to eigenvalues",
}

@Book{Kowalik:1984:HSC,
  editor =       "Janusz S. Kowalik",
  booktitle =    "{High-speed computation: Proceedings of the NATO
                 Advanced Research Workshop on High-Speed Computation,
                 held at J{\"u}lich, Federal Republic of Germany, June
                 20--22, 1983}",
  title =        "{High-speed computation: Proceedings of the NATO
                 Advanced Research Workshop on High-Speed Computation,
                 held at J{\"u}lich, Federal Republic of Germany, June
                 20--22, 1983}",
  volume =       "7",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "ix + 441",
  year =         "1984",
  ISBN =         "0-387-12885-9",
  ISBN-13 =      "978-0-387-12885-6",
  LCCN =         "QA76.6 .N376 1984",
  bibdate =      "Mon Jan 2 13:01:39 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "NATO ASI series. Series F, Computer and systems
                 sciences",
  acknowledgement = ack-nhfb,
  meetingname =  "NATO Advanced Research Workshop on High-Speed
                 Computation (1983 : J{\"u}lich, Germany)",
  remark =       "Published in cooperation with NATO Scientific Affairs
                 Division.",
  subject =      "Parallel processing (Electronic computers);
                 Congresses; Electronic digital computers;
                 Multiprocessors",
}

@Proceedings{Duff:1985:VPP,
  editor =       "Iain S. Duff and J. K. Reid",
  booktitle =    "Vector and Parallel Processors in Computational
                 Science {II}: Proceedings of the Second International
                 Conference on Vector and Parallel Processors in
                 Computational Science, Oxford, 28--31 August 1984",
  title =        "Vector and Parallel Processors in Computational
                 Science {II}: Proceedings of the Second International
                 Conference on Vector and Parallel Processors in
                 Computational Science, Oxford, 28--31 August 1984",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "xi + 386",
  year =         "1985",
  ISBN =         "0-444-86974-3",
  ISBN-13 =      "978-0-444-86974-6",
  LCCN =         "TK7885.A1 I564 1984",
  bibdate =      "Fri Nov 11 17:48:17 MST 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Proceedings{Evans:1985:SA,
  editor =       "David J. Evans",
  booktitle =    "Sparsity and its applications",
  title =        "Sparsity and its applications",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "x + 338",
  year =         "1985",
  ISBN =         "0-521-26272-0",
  ISBN-13 =      "978-0-521-26272-9",
  LCCN =         "QA188 .S58 1985",
  bibdate =      "Mon Jan 2 13:05:54 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 z3950.loc.gov:7090/Voyager",
  URL =          "http://www.loc.gov/catdir/description/cam031/84045714.html",
  acknowledgement = ack-nhfb,
  remark =       "Based on a series of lectures delivered at the Meeting
                 on the Advanced Research Topic ``Sparsity and Its
                 Applications,'' held April 1983 at the University of
                 Technology, Loughborough, England.",
  subject =      "Sparse matrices; Addresses, essays, lectures; Data
                 processing",
}

@Proceedings{Handler:1986:CCA,
  editor =       "Wolfgang Handler and D. Haupt and R. Jeltsch and W.
                 Juling and O. Lange",
  booktitle =    "{CONPAR 86: Conference on Algorithms and Hardware for
                 Parallel Processing, Aachen, September 17--19, 1986:
                 proceedings}",
  title =        "{CONPAR 86: Conference on Algorithms and Hardware for
                 Parallel Processing, Aachen, September 17--19, 1986:
                 proceedings}",
  volume =       "237",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "ix + 418",
  year =         "1986",
  CODEN =        "LNCSD9",
  ISBN =         "0-387-16811-7 (USA)",
  ISBN-13 =      "978-0-387-16811-1 (USA)",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  LCCN =         "QA76.5 .C61941 1986",
  bibdate =      "Fri Apr 12 07:27:43 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  series =       ser-LNCS,
  acknowledgement = ack-nhfb,
  keywords =     "parallel processing (electronic computers) ---
                 congresses",
}

@Proceedings{Deuflhard:1987:LSS,
  editor =       "P. (Peter) Deuflhard and Bj{\"o}rn Engquist",
  booktitle =    "Large scale scientific computing",
  title =        "Large scale scientific computing",
  volume =       "7",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  pages =        "xii + 388",
  year =         "1987",
  ISBN =         "0-8176-3355-3",
  ISBN-13 =      "978-0-8176-3355-4",
  LCCN =         "Q183.9 .L37 1987",
  bibdate =      "Mon Jan 2 13:10:09 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 z3950.loc.gov:7090/Voyager",
  price =        "US\$30.00",
  series =       "Progress in scientific computing",
  acknowledgement = ack-nhfb,
  remark =       "Proceedings of a meeting on large scale scientific
                 computing held at the Oberwolfach Mathematical
                 Institute, July 14-19, 1985, under the auspices of the
                 Sonderforschungsbereich 123 of the Univ. of
                 Heidelberg.",
  subject =      "Science; Data processing; Congresses; Engineering;
                 Mathematical models; 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",
}

@Book{Jesshope:1987:MAP,
  editor =       "C. R. Jesshope",
  title =        "Major advances in parallel processing",
  publisher =    pub-GOWER,
  address =      pub-GOWER:adr,
  pages =        "xxi + 392",
  year =         "1987",
  ISBN =         "0-291-39728-X",
  ISBN-13 =      "978-0-291-39728-7",
  LCCN =         "QA76.5 .M1914 1987",
  bibdate =      "Mon Jan 2 15:32:19 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "The Technical Press--Unicom applied information
                 technology series",
  acknowledgement = ack-nhfb,
  subject =      "Parallel processing (Electronic computers)",
}

@Proceedings{Kenway:1987:CPP,
  editor =       "R. D. (Richard D.) Kenway and G. S. (G. Stuart)
                 Pawley",
  booktitle =    "{Computational physics: proceedings of the
                 Thirty-second Scottish Universities' Summer School in
                 Physics, St. Andrews, August 1987: a NATO Advanced
                 Study Institute}",
  title =        "{Computational physics: proceedings of the
                 Thirty-second Scottish Universities' Summer School in
                 Physics, St. Andrews, August 1987: a NATO Advanced
                 Study Institute}",
  publisher =    pub-SUSSP,
  address =      pub-SUSSP:adr,
  pages =        "483",
  year =         "1987",
  ISBN =         "0-905945-15-8",
  ISBN-13 =      "978-0-905945-15-6",
  LCCN =         "QC19.2 .S26 1987",
  bibdate =      "Mon Jan 2 15:29:11 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "SUSSP publications",
  acknowledgement = ack-nhfb,
  meetingname =  "Scottish Universities' Summer School in Physics (32nd:
                 1987: St. Andrews, Scotland)",
  remark =       "A NATO Advanced Study Institute.",
  subject =      "Mathematical physics; Congresses; Numerical analysis",
}

@Proceedings{Houstis:1988:SIC,
  editor =       "E. N. Houstis and T. S. Papatheodorou and C. D.
                 Polychronopoulos",
  booktitle =    "{Supercomputing: 1st International Conference, Athens,
                 Greece, June 8--12, 1987: proceedings}",
  title =        "{Supercomputing: 1st International Conference, Athens,
                 Greece, June 8--12, 1987: proceedings}",
  volume =       "297",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "x + 1093",
  year =         "1988",
  CODEN =        "LNCSD9",
  ISBN =         "0-387-18991-2, 3-540-18991-2",
  ISBN-13 =      "978-0-387-18991-8, 978-3-540-18991-6",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  LCCN =         "QA267.A1 L43 no.297",
  bibdate =      "Mon Sep 9 14:56:14 MDT 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/tex/bib/super.bib;
                 University of California MELVYL catalog.",
  note =         "The conference was organized and sponsored by the
                 Computer Technology Institute (C.T.I.) of Greece.",
  series =       ser-LNCS,
  acknowledgement = ack-nhfb,
  confdate =     "8--12 June 1987",
  conflocation = "Athens, Greece",
  confsponsor =  "Comput. Technol. Inst. Greece",
  keywords =     "supercomputers --- congresses",
  pubcountry =   "West Germany",
}

@Proceedings{Paul:1988:PSC,
  editor =       "George Paul and George S. Almasi",
  booktitle =    "{Parallel systems and computation: proceedings of the
                 1986 IBM Europe Institute---Seminar on Parallel
                 Computing, Oberlech, Austria, August 11--15, 1986}",
  title =        "{Parallel systems and computation: proceedings of the
                 1986 IBM Europe Institute---Seminar on Parallel
                 Computing, Oberlech, Austria, August 11--15, 1986}",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "x + 294",
  year =         "1988",
  ISBN =         "0-444-70371-3",
  ISBN-13 =      "978-0-444-70371-2",
  LCCN =         "QA76.5 .I147 1986",
  bibdate =      "Mon Jan 2 15:34:19 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  meetingname =  "IBM Europe Institute--Seminar on Parallel Computing
                 (1986: Oberlech, Austria)",
  subject =      "Parallel processing (Electronic computers);
                 Congresses",
}

@Proceedings{Anonymous:1989:SPC,
  editor =       "Anonymous",
  booktitle =    "Software for parallel computers: Exploiting
                 parallelism through software environments, tools,
                 algorithms and application libraries; Tutorials and
                 Workshops. {Novotel, Hammersmith, London, 13--15 June
                 1989}",
  title =        "Software for parallel computers: Exploiting
                 parallelism through software environments, tools,
                 algorithms and application libraries; Tutorials and
                 Workshops. {Novotel, Hammersmith, London, 13--15 June
                 1989}",
  publisher =    "Unicom Seminars Ltd.",
  address =      "Uxbridge, Middlesex, UK",
  pages =        "v + 242",
  year =         "1989",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "QA76.58 .S64 1989",
  bibdate =      "Mon Jan 2 11:40:50 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 melvyl.cdlib.org:210/CDL90; z3950.gbv.de:20011/gvk",
  acknowledgement = ack-nhfb,
  meetingdate =  "13--15 June 1989",
}

@Book{Carey:1989:PSM,
  editor =       "Graham F. Carey",
  title =        "Parallel supercomputing: methods, algorithms and
                 applications",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "x + 287",
  year =         "1989",
  ISBN =         "0-471-92436-9",
  ISBN-13 =      "978-0-471-92436-4",
  LCCN =         "M89.E02452; QA76.6",
  bibdate =      "Mon Jan 2 15:42:42 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 library.ox.ac.uk:210/ADVANCE",
  series =       "Wiley series in parallel computing",
  acknowledgement = ack-nhfb,
  subject =      "Parallel programming (Computer science)",
}

@Book{Cosnard:1989:PDA,
  editor =       "Michel Cosnard and Y. Robert and P. Quinton and M.
                 Raynal",
  title =        "{Parallel and distributed algorithms: proceedings of
                 the International Workshop on Parallel and Distributed
                 Algorithms, Chateau de Bonas, Gers, France, 3--6
                 October, 1988}",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "xiv + 343",
  year =         "1989",
  ISBN =         "0-444-87367-8",
  ISBN-13 =      "978-0-444-87367-5",
  LCCN =         "QA9.58; 95F",
  bibdate =      "Mon Jan 2 15:37:50 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 library.ox.ac.uk:210/ADVANCE",
  acknowledgement = ack-nhfb,
  meetingname =  "International Workshop on Parallel and Distributed
                 Algorithms (1988 : Gers, France)",
  subject =      "Algorithms; Congresses; Parallel processing
                 (Electronic computers)",
}

@Book{Delhaye:1989:HPC,
  editor =       "J.-L. (Jean-Lo{\"\i}c) Delhaye and E. Gelenbe",
  booktitle =    "{High performance computing: proceedings of the
                 International Symposium on High Performance Computing,
                 Montpellier, France, 22--24 March, 1989}",
  title =        "{High performance computing: proceedings of the
                 International Symposium on High Performance Computing,
                 Montpellier, France, 22--24 March, 1989}",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "x + 457",
  year =         "1989",
  ISBN =         "0-444-88043-7",
  ISBN-13 =      "978-0-444-88043-7",
  LCCN =         "QA76.5.I585; QA76.5 .I585 1989",
  bibdate =      "Mon Jan 2 15:40:07 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 library.mit.edu:9909/mit01",
  acknowledgement = ack-nhfb,
  meetingname =  "International Symposium on High Performance Computing
                 (1989: Montpellier, France)",
  subject =      "Electronic data processing; Congresses;
                 Supercomputers",
}

@Proceedings{Dongarra:1989:VPC,
  editor =       "Jack J. Dongarra and Iain S. Duff and Patrick W.
                 Gaffney and Sean {StJ.} McKee",
  booktitle =    "Vector and Parallel Computing: Issues in Applied
                 Research and Development",
  title =        "Vector and Parallel Computing: Issues in Applied
                 Research and Development",
  publisher =    pub-EH,
  address =      pub-EH:adr,
  year =         "1989",
  ISBN =         "0-7458-0756-9 (Ellis Horwood), 0-470-21571-2 (Halsted
                 Press)",
  ISBN-13 =      "978-0-7458-0756-0 (Ellis Horwood), 978-0-470-21571-5
                 (Halsted Press)",
  LCCN =         "QA76.5 .V398 1989",
  bibdate =      "Fri Nov 11 17:48:17 MST 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  price =        "UK\pounds 29.95",
  acknowledgement = ack-nhfb,
}

@Book{Evans:1989:PCM,
  editor =       "David J. Evans and C. Nodari Sutti",
  booktitle =    "{Parallel computing: methods, algorithms, and
                 applications: proceedings of the International Meeting
                 on Parallel Computing, Verona, Italy, 28--30 September
                 1988}",
  title =        "{Parallel computing: methods, algorithms, and
                 applications: proceedings of the International Meeting
                 on Parallel Computing, Verona, Italy, 28--30 September
                 1988}",
  publisher =    pub-AH,
  address =      pub-AH:adr,
  pages =        "x + 287",
  year =         "1989",
  ISBN =         "0-85274-224-X",
  ISBN-13 =      "978-0-85274-224-2",
  LCCN =         "QA76.5 .I5775 1988",
  bibdate =      "Mon Jan 2 15:45:00 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  meetingname =  "International Meeting on Parallel Computing (1988:
                 Verona, Italy)",
  subject =      "Parallel processing (Electronic computers);
                 Congresses",
}

@Proceedings{Rodrigue:1989:PPS,
  editor =       "G. Rodrigue",
  booktitle =    "Parallel processing for scientific computing",
  title =        "Parallel processing for scientific computing",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "428",
  year =         "1989",
  ISBN =         "0-89871-228-9",
  ISBN-13 =      "978-0-89871-228-5",
  LCCN =         "QA76.5 .S515 1987",
  bibdate =      "Mon Jan 2 13:12:21 MST 2006",
  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;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  meetingname =  "SIAM Conference on Parallel Processing for Scientific
                 Computing (3rd: 1987: Los Angeles, CA)",
  remark =       "Proceedings of the Third SIAM Conference on Parallel
                 Processing for Scientific Computing, Los Angeles,
                 California, December 1--4, 1987. This conference was
                 sponsored by the SIAM Activity Group on
                 Supercomputing.",
  subject =      "Parallel processing (Electronic computers);
                 Congresses",
}

@Proceedings{Cox:1990:RNC,
  editor =       "M. G. Cox and S. Hammarling",
  booktitle =    "Reliable numerical computation",
  title =        "Reliable numerical computation",
  publisher =    pub-OXFORD,
  address =      pub-OXFORD:adr,
  pages =        "xvi + 339",
  year =         "1990",
  ISBN =         "0-19-853564-3",
  ISBN-13 =      "978-0-19-853564-5",
  LCCN =         "QA297 .R435 1990",
  MRclass =      "65-06",
  MRnumber =     "91k:65011",
  bibdate =      "Fri Dec 20 18:34:52 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib",
  note =         "Based on papers from a conference in honour of the
                 late James Hardy Wilkinson (died Sunday 5th October
                 1986) held at National Physical Laboratory, Teddington,
                 Middlesex, UK, 8th--10th July 1987.",
  price =        "US\$75.00",
  abstract =     "Published to honor the late Jim Wilkinson, the
                 respected pioneer in numerical analysis, this book
                 includes contributions from his colleagues and
                 collaborators, leading experts in their own right. The
                 breadth of Wilkinson's research is reflected in the
                 topics covered, which include linear algebra, error
                 analysis and computer arithmetic algorithms, and
                 mathematical software. An invaluable reference, the
                 book is completely up-to-date with the latest
                 developments on the Lanczos algorithm,
                 QR-factorizations, error propagation models, parameter
                 estimation problems, sparse systems, and
                 shape-preserving splines. Reflecting the current growth
                 and vitality of this field, the volume is an essential
                 reference for all numerical analysts.",
  acknowledgement = ack-nhfb,
  tableofcontents = "List of contributors / / xv \\
                 Prologue. Reflections on Jim Wilkinson / Gene Golub / 1
                 \\
                 1. Misconvergence in the Lanczos algorithm / Beresford
                 Parlett / 7 \\
                 2. The Lanczos algorithm for a pure imaginary Hermitian
                 matrix / Charles L. Lawson and Kajal K. Gupta / 25 \\
                 3. Nearest defective matrices and the geometry of
                 ill-conditioning / James Demmel / 35 \\
                 4. Computational aspects of the Jordan canonical form /
                 Theo Beelen and Paul Van Dooren / 57 \\
                 5. Some aspects of generalized QR factorizations / C.
                 C. Paige / 73 \\
                 6. The multifrontal method in a parallel environment /
                 I. S. Duff, N. I. M. Gould, M. Lescrenier, and J. K.
                 Reid / 93 \\
                 7. A Schur-complement method for sparse quadratic
                 programming / Philip E. Gill, Walter Murray, Michael A.
                 Saunders, and Margaret H. Wright / 113 \\
                 8. A probabilistic round-off error propagation model.
                 Application to the eigenvalue problem / Fran{\c{c}}oise
                 Chatelin and Marie Christine Brunet / 139 \\
                 9. Analysis of the Cholesky decomposition of a
                 semi-definite matrix / Nicholas J. Higham / 161 \\
                 10. On the conditioning of parameter estimation
                 problems / James M. Varah / 187 \\
                 11. Rounding errors in algebraic process-in level-index
                 arithmetic / F. W J. Olver / 197 \\
                 12. Experiments in tearing large sparse systems / Mario
                 Arioli and lain S. Duff / 207 \\
                 13. The least-squares solution of linear equations with
                 block-angular observation matrix / M. G. Cox / 227 \\
                 14. An iterative method for solving linear inequalities
                 / G. W Stewart / 241 \\
                 15. Iterative refinement and reliable computing / Ake
                 Bjorck / 249 \\
                 16. Software for shape-preserving spline interpolation
                 / Christian H. Reinsch / 267 \\
                 17. Experiences with some software engineering
                 practices in numerical software / D. A. H. Jacobs and
                 G. Markham / 277 \\
                 18. Evolution of numerical software for dense linear
                 algebra / Jack Dongarra and Sven Hammarling / 297 \\
                 Epilogue. Jim Wilkinson: some after-dinner sentiments /
                 L. Fox / 329",
}

@Proceedings{Dongarra:1990:PPS,
  editor =       "Jack Dongarra and Paul Messina and Danny C. Sorensen
                 and Robert G. Voigt",
  key =          "DongarraMessinaSorensenVoigt90",
  booktitle =    "{Parallel Processing for Scientific Computing:
                 Proceedings of the Fourth SIAM Conference on Parallel
                 Processing for Scientific Computing, Chicago, Illinois,
                 December 11--13, 1989}",
  title =        "{Parallel Processing for Scientific Computing:
                 Proceedings of the Fourth SIAM Conference on Parallel
                 Processing for Scientific Computing, Chicago, Illinois,
                 December 11--13, 1989}",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "454",
  year =         "1990",
  ISBN =         "0-89871-262-9",
  ISBN-13 =      "978-0-89871-262-9",
  LCCN =         "QA76.58.S55 1989",
  MRclass =      "00B25 (65-06 68-06 68Q10)",
  MRnumber =     "91k:00041",
  bibdate =      "Thu Dec 19 14:26:07 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",
  acknowledgement = ack-nhfb,
}

@Proceedings{Evans:1990:PCP,
  editor =       "David J. Evans and G. R. (Gerhard Robert) Joubert and
                 Frans J. Peters",
  booktitle =    "{Parallel Computing 89: Proceedings of the
                 international conference, Leiden, 29 August--1
                 September 1989}",
  title =        "{Parallel Computing 89: Proceedings of the
                 international conference, Leiden, 29 August--1
                 September 1989}",
  volume =       "2",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "xiv + 630",
  year =         "1990",
  ISBN =         "0-444-88386-X",
  ISBN-13 =      "978-0-444-88386-5",
  LCCN =         "QA76.5 .P31475 1990",
  bibdate =      "Mon Jan 2 16:10:27 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Advances in parallel computing",
  acknowledgement = ack-nhfb,
  meetingname =  "Parallel Computing 89 (1989: Leiden, Netherlands)",
  remark =       "Sponsored by the Parallel Computing Society.",
  subject =      "Parallel processing (Electronic computers);
                 Congresses",
}

@Proceedings{IEEE:1990:PSN,
  key =          "Supercomputing'90",
  booktitle =    "{Proceedings, Supercomputing '90: November 12--16,
                 1990, New York Hilton at Rockefeller Center, New York,
                 NY, USA}",
  title =        "{Proceedings, Supercomputing '90: November 12--16,
                 1990, New York Hilton at Rockefeller Center, New York,
                 NY, USA}",
  publisher =    pub-IEEE,
  address =      pub-IEEE:adr,
  pages =        "xxv + 982",
  year =         "1990",
  ISBN =         "0-8186-2056-0 (IEEE), 0-89791-412-0 (ACM)",
  ISBN-13 =      "978-0-8186-2056-0 (IEEE), 978-0-89791-412-3 (ACM)",
  LCCN =         "QA76.5 .S894378 1990",
  bibdate =      "Mon Jan 15 11:05:53 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",
  acknowledgement = ack-nhfb,
}

@Proceedings{JAERI:1990:FIC,
  editor =       "{Japan Atomic Energy Research Institute}",
  booktitle =    "{The First International Conference on Supercomputing
                 in Nuclear Applications (SNA '90), March 12--16, 1990,
                 Mito, Japan: proceedings}",
  title =        "{The First International Conference on Supercomputing
                 in Nuclear Applications (SNA '90), March 12--16, 1990,
                 Mito, Japan: proceedings}",
  publisher =    "Nuclear Energy Data Center",
  address =      "Tokai-mura, Japan",
  pages =        "xxii + 667",
  year =         "1990",
  LCCN =         "TK9153 .I464 1990",
  bibdate =      "Mon Jan 2 16:18:16 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  meetingname =  "International Conference on Supercomputing in Nuclear
                 Applications (1st: 1990: Mito-shi, Japan)",
  remark =       "JP91-55831.",
  subject =      "Nuclear engineering; Data processing; congresses;
                 Supercomputers",
}

@Proceedings{Laforenza:1990:STS,
  editor =       "Domenico Laforenza and Raffaele Perego",
  booktitle =    "Supercomputing tools for science and engineering",
  title =        "Supercomputing tools for science and engineering",
  volume =       "53",
  publisher =    pub-FRANCO-ANGELI,
  address =      pub-FRANCO-ANGELI:adr,
  pages =        "xv + 806",
  year =         "1990",
  ISBN =         "88-204-6322-9",
  ISBN-13 =      "978-88-204-6322-9",
  LCCN =         "QA76.88 .S88 1990",
  bibdate =      "Mon Jan 2 15:49:22 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 z3950.loc.gov:7090/Voyager",
  price =        "L70000",
  series =       "Collana scientifica",
  acknowledgement = ack-nhfb,
  remark =       "English and Italian.. Papers from the International
                 Workshop on ``Supercomputing Tools for Science and
                 Engineering'', held in Pisa, Italy, Dec. 4-7, 1989.. At
                 head of title: Consiglio nazionale delle ricerche,
                 Progetto finalizzato ``sistemi informatici e calcolo
                 parallelo'', Iniziativa di supporto al calcolo
                 parallelo.",
  subject =      "Supercomputers; Congresses; Science; Data processing;
                 Engineering",
}

@Proceedings{Manley:1990:PTE,
  editor =       "John Manley and Sean McKee and David Owens",
  booktitle =    "{Proceedings of the Third European Conference on
                 Mathematics in Industry, August 28--31, 1988,
                 Glasgow}",
  title =        "{Proceedings of the Third European Conference on
                 Mathematics in Industry, August 28--31, 1988,
                 Glasgow}",
  volume =       "5",
  publisher =    pub-KLUWER # " and " # pub-TEUBNER,
  address =      pub-KLUWER:adr # " and " # pub-TEUBNER:adr,
  pages =        "xii + 564",
  year =         "1990",
  ISBN =         "0-7923-0807-7 (Kluwer), 3-519-02174-9 (Teubner)",
  ISBN-13 =      "978-0-7923-0807-2 (Kluwer), 978-3-519-02174-2
                 (Teubner)",
  LCCN =         "TA329 .E97 1988",
  bibdate =      "Mon Jan 2 16:17:18 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "European Consortium for Mathematics in Industry",
  acknowledgement = ack-nhfb,
  meetingname =  "European Conference on Mathematics in Industry (3rd:
                 1988: Glasgow, Scotland)",
  subject =      "Engineering mathematics; Congresses; Industrial
                 engineering; Mathematics",
}

@Book{vanderVorst:1990:PAN,
  editor =       "Henk A. van der Vorst and Paul {Van Dooren}",
  booktitle =    "Parallel algorithms for numerical linear algebra",
  title =        "Parallel algorithms for numerical linear algebra",
  volume =       "1",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  pages =        "x + 330",
  year =         "1990",
  ISBN =         "0-444-88621-4",
  ISBN-13 =      "978-0-444-88621-7",
  LCCN =         "QA76.5 .P31458 1990",
  MRclass =      "65-06 (65Fxx 65Y05)",
  MRnumber =     "MR1068142 (91f:65005)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database; z3950.loc.gov:7090/Voyager",
  series =       "Advances in Parallel Computing",
  acknowledgement = ack-nhfb,
  remark =       "Reprinted from the Journal of computational and
                 applied mathematics, vol. 27, numbers 1 and 2
                 (September 1989).",
  subject =      "Parallel algorithms; Parallel processing (Electronic
                 computers); Algebras, Linear; Numerical calculations",
  tableofcontents = "Preface / H. van der Vorst and P. van Dooren\par

                 A quadratically convergent parallel Jacobi process for
                 diagonally dominant matrices with distinct eigenvalues
                 / M. H. C. Paardekooper\par

                 A Jacobi-like algorithm for computing the generalized
                 Schur form of a regular pencil / J.-P. Charlier and P.
                 van Dooren\par

                 Canonical correlations and generalized SVD:
                 applications and new algorithms / L. M. Ewerbring and
                 F. T. Luk\par

                 From Bareiss' algorithm to the stable computation of
                 partial correlations / J.-M. Delosme and I. C. F.
                 Ipsen\par

                 A recursive doubling algorithm for solution of
                 tridiagonal systems on hypercube multiprocessors / ?.
                 Egecioglu, C. K. Koc and A. J. Laub - Least squares
                 modifications with inverse factorizations: parallel
                 implications / C.-T. Pan and R. J. Plemmons. Solution
                 of sparse positive definite systems on a hypercube / A.
                 George ... [et al.]\par

                 Some aspects of parallel implementation of the
                 finite-element method on message passing architectures
                 / I. Babuska and H. C. Elman\par

                 An overview of parallel algorithms for the singular
                 value and symmetric eigenvalue problems / M. Berry and
                 A. Sameh\par

                 Block reduction of matrices to condensed forms for
                 eigenvalue computations / J. J. Dongarra, S. J.
                 Hammarling and D. C. Sorensen\par

                 Multiprocessing a sparse matrix code on the Alliant
                 FX-8 / I. S. Duff\par

                 Vector and parallel methods for the direct solution of
                 Poisson's equation / P. N. Swartztrauber and R. A.
                 Sweet\par

                 Factoring with the quadratic sieve on large vector
                 computers / H. te Riele, W. Lioen and D. Winter.
                 Efficient vectorizable PDE solvers / W. Sch?nauer and
                 R. Weiss\par

                 Vectorizable preconditioners for elliptic difference
                 equations in three space dimensions / O. Axelsson and
                 V. Eijkhout\par

                 Solving 3D block bidiagonal linear systems on vector
                 computers / J. J. F. M. Schlichting and H. A. van der
                 Vorst.",
}

@Proceedings{Anonymous:1991:PIS,
  editor =       "Anonymous",
  booktitle =    "{Proceedings of the International Symposium on
                 Supercomputing: Fukuoka, Japan, November 6--8, 1991}",
  title =        "{Proceedings of the International Symposium on
                 Supercomputing: Fukuoka, Japan, November 6--8, 1991}",
  publisher =    "Kyushu University Press",
  address =      "Fukuoka, Japan",
  pages =        "iv + 261",
  year =         "1991",
  ISBN =         "4-87378-284-8",
  ISBN-13 =      "978-4-87378-284-3",
  LCCN =         "QA76.88 .I587 1991",
  bibdate =      "Thu Sep 16 09:48:36 MDT 1999",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Proceedings{Spedicato:1991:CAS,
  editor =       "Emilio Spedicato",
  booktitle =    "Computer algorithms for solving linear algebraic
                 equations: the state of the art",
  title =        "Computer algorithms for solving linear algebraic
                 equations: the state of the art",
  volume =       "77",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "viii + 352",
  year =         "1991",
  ISBN =         "0-387-54187-X, 3-540-54187-X",
  ISBN-13 =      "978-0-387-54187-7, 978-3-540-54187-5",
  LCCN =         "QA218 N18 1990",
  bibdate =      "Mon Jan 2 16:21:30 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 library.ox.ac.uk:210/ADVANCE",
  note =         "Proceedings of the NATO Advanced Study Institute on
                 Computer Algorithms for Solving Linear Algebraic
                 Equations: the State of the Art, held at Il Ciocco,
                 Barga, Italy, September 9--21, 1990.",
  series =       "NATO ASI series. Series F, Computer and systems
                 sciences",
  acknowledgement = ack-nhfb,
  remark =       "Published in cooperation with NATO Scientific Affairs
                 Division.",
  subject =      "Algebras, Linear; Congresses; Computer algorithms;
                 Equations; Numerical solutions; Data processing",
}

@Book{Adeli:1992:SEA,
  editor =       "Hojjat Adeli",
  booktitle =    "Supercomputing in engineering analysis",
  title =        "Supercomputing in engineering analysis",
  volume =       "1",
  publisher =    pub-DEKKER,
  address =      pub-DEKKER:adr,
  pages =        "xi + 362",
  year =         "1992",
  ISBN =         "0-8247-8559-2",
  ISBN-13 =      "978-0-8247-8559-8",
  LCCN =         "TA345.S87; TA345 .S87 1991; TA345 .S87 1992",
  bibdate =      "Mon Jan 2 16:25:45 MST 2006",
  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;
                 library.mit.edu:9909/mit01",
  series =       "New generation computing",
  acknowledgement = ack-nhfb,
  subject =      "Engineering; Data processing; Supercomputers; Vector
                 processing (Computer science); Parallel processing
                 (Electronic computers)",
}

@Proceedings{Bouge:1992:PPC,
  editor =       "L. Bouge and M. Cosnard and Y. Robert and D.
                 Trystram",
  booktitle =    "{Parallel processing: CONPAR 92-VAPP V, Second Joint
                 International Conference on Vector and Parallel
                 Processing, Lyon, France, September 1--4, 1992:
                 proceedings}",
  title =        "{Parallel processing: CONPAR 92-VAPP V, Second Joint
                 International Conference on Vector and Parallel
                 Processing, Lyon, France, September 1--4, 1992:
                 proceedings}",
  volume =       "634",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xvii + 853",
  year =         "1992",
  CODEN =        "LNCSD9",
  ISBN =         "3-540-55895-0 (Berlin), 0-387-55895-0 (New York)",
  ISBN-13 =      "978-3-540-55895-8 (Berlin), 978-0-387-55895-0 (New
                 York)",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  LCCN =         "QA76.58 .J65 1992",
  bibdate =      "Fri Apr 12 07:36:22 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  series =       ser-LNCS,
  acknowledgement = ack-nhfb,
  keywords =     "parallel processing (electronic computers) ---
                 congresses; vector processing (computer science) ---
                 congresses",
  xxvolume =     "4003839054",
}

@Proceedings{Depeyre:1992:PES,
  editor =       "D. Depeyre and X. Joulia and B. Koehret and J. M. {Le
                 Lann}",
  booktitle =    "{Proceedings: European Symposium on Computer Aided
                 Engineering (ESCAPE 2), 5--7 October, 1992, Toulouse,
                 France}",
  title =        "{Proceedings: European Symposium on Computer Aided
                 Engineering (ESCAPE 2), 5--7 October, 1992, Toulouse,
                 France}",
  volume =       "17(11--12) (supplement)",
  publisher =    pub-PERGAMON,
  address =      pub-PERGAMON:adr,
  pages =        "x + 536",
  year =         "1992",
  ISBN =         "????",
  ISBN-13 =      "????",
  ISSN =         "0098-1354 (print), 1873-4375 (electronic)",
  LCCN =         "????",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  series =       "Computers and chemical engineering",
  acknowledgement = ack-nhfb,
}

@Proceedings{Dongarra:1992:PFS,
  editor =       "Jack Dongarra and Ken Kennedy and Paul Messina and
                 Danny C. Sorensen and Robert G. Voigt",
  booktitle =    "{Proceedings of the Fifth SIAM Conference on Parallel
                 Processing for Scientific Computing (Houston, TX, March
                 25--27, 1991)}",
  title =        "{Proceedings of the Fifth SIAM Conference on Parallel
                 Processing for Scientific Computing (Houston, TX, March
                 25--27, 1991)}",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xvii + 648",
  year =         "1992",
  ISBN =         "0-89871-303-X",
  ISBN-13 =      "978-0-89871-303-9",
  LCCN =         "QA76.58 .P76 1992",
  MRclass =      "65Y05 (65Fxx 90-04 90C30)",
  MRnumber =     "93g:65178",
  bibdate =      "Thu Dec 19 14:26:03 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",
  acknowledgement = ack-nhfb,
}

@Book{Perrott:1992:SPC,
  editor =       "R. H. Perrott",
  booktitle =    "Software for parallel computers",
  title =        "Software for parallel computers",
  publisher =    pub-CHAPMAN-HALL,
  address =      pub-CHAPMAN-HALL:adr,
  pages =        "350",
  year =         "1992",
  ISBN =         "0-412-39960-1",
  ISBN-13 =      "978-0-412-39960-2",
  LCCN =         "QA76.58.S63 1992",
  bibdate =      "Mon Sep 09 08:27:07 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Proceedings{Fincham:1993:PCB,
  editor =       "A. E. Fincham and Brian J. Ford",
  booktitle =    "{Parallel computation: based on the proceedings of a
                 conference on parallel computation organized by the
                 Institute of Mathematics and Its Applications and held
                 at St. Catherine's College, Oxford, in September
                 1991}",
  title =        "{Parallel computation: based on the proceedings of a
                 conference on parallel computation organized by the
                 Institute of Mathematics and Its Applications and held
                 at St. Catherine's College, Oxford, in September
                 1991}",
  volume =       "46",
  publisher =    pub-CLARENDON,
  address =      pub-CLARENDON:adr,
  pages =        "x + 366",
  year =         "1993",
  ISBN =         "0-19-853680-1",
  ISBN-13 =      "978-0-19-853680-2",
  LCCN =         "QA76.58 .P3755 1993",
  bibdate =      "Sat Dec 31 09:27:28 MST 2005",
  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/v/vandervorst-henk-a.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Conference series / The Institute of Mathematics and
                 Its Applications",
  acknowledgement = ack-nhfb,
  subject =      "Parallel programming (Computer science); Congresses",
}

@Proceedings{Ames:1994:IPI,
  editor =       "W. F. Ames",
  booktitle =    "{IMACS '94: proceedings of the 14th IMACS World
                 Congress on Computation and Applied Mathematics: July
                 11--15, 1994, Georgia Institute of Technology, Atlanta,
                 Georgia, USA}",
  title =        "{IMACS '94: proceedings of the 14th IMACS World
                 Congress on Computation and Applied Mathematics: July
                 11--15, 1994, Georgia Institute of Technology, Atlanta,
                 Georgia, USA}",
  publisher =    "International Association for Mathematics and
                 Computers in Simulation",
  address =      "????",
  pages =        "1572",
  year =         "1994",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Tue Jan 03 06:46:12 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  note =         "Three volumes: Volume 1: Applied mathematics,
                 stochastic processes, iterative methods. Volume 2:
                 Applications of computing, fluid mechanics, acoustics,
                 solid mechanics, neural networks. Volume 3: Numerical
                 methods and analysis finite differences and elements,
                 differential equations, intervals.",
  acknowledgement = ack-nhfb,
}

@Proceedings{Dongarra:1994:PSC,
  editor =       "J. J. Dongarra and Jerzy Wasniewski",
  booktitle =    "{Parallel scientific computing: First International
                 Workshop, PARA '94, Lyngby, Denmark, June 20--23, 1994:
                 proceedings}",
  title =        "{Parallel scientific computing: First International
                 Workshop, PARA '94, Lyngby, Denmark, June 20--23, 1994:
                 proceedings}",
  volume =       "879",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xi + 566",
  year =         "1994",
  CODEN =        "LNCSD9",
  ISBN =         "3-540-58712-8 (Berlin), 0-387-58712-8 (New York)",
  ISBN-13 =      "978-3-540-58712-5 (Berlin), 978-0-387-58712-7 (New
                 York)",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  LCCN =         "QA76.58 .P35 1994",
  bibdate =      "Fri Apr 12 07:40:14 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  price =        "DM104.00",
  series =       ser-LNCS,
  acknowledgement = ack-nhfb,
  keywords =     "parallel processing (electronic computers) ---
                 congresses",
  xxvolume =     "4004739791",
}

@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{Lewis:1994:PFS,
  editor =       "John G. (John Gregg) Lewis",
  booktitle =    "{Proceedings of the Fifth SIAM Conference on Applied
                 Linear Algebra}",
  title =        "{Proceedings of the Fifth SIAM Conference on Applied
                 Linear Algebra}",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "x + 578",
  year =         "1994",
  ISBN =         "0-89871-336-6",
  ISBN-13 =      "978-0-89871-336-7",
  LCCN =         "QA184 .S58 1994",
  bibdate =      "Mon Jan 2 16:34:40 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 melvyl.cdlib.org:210/CDL90",
  acknowledgement = ack-nhfb,
  meetingname =  "SIAM Conference on Applied Linear Algebra (5th: 1994:
                 Snowbird, Utah)",
  remark =       "Held in Snowbird, Utah, USA, June 15--18, 1994",
  subject =      "Algebras, Linear; Congresses",
}

@Proceedings{Natori:1994:MAP,
  editor =       "M. Natori and T. Nodera",
  booktitle =    "{Matrix analysis and parallel computing}",
  title =        "{Matrix analysis and parallel computing}",
  publisher =    "Keio University",
  address =      "Yokohama, Japan",
  pages =        "276",
  year =         "1994",
  LCCN =         "R",
  bibdate =      "Mon Jan 2 16:51:23 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 z3950.libris.kb.se:210/libr",
  acknowledgement = ack-nhfb,
  remark =       "Preface: the papers in this issue were presented at an
                 international symposium on PCG'94 held at the faculty
                 of science and technology, Keio university in Japan, on
                 March 14th to March 16th, 1994. (PCG'94).",
}

@Proceedings{Bailey:1995:PSS,
  editor =       "David H. Bailey and others",
  booktitle =    "{Proceedings of the Seventh SIAM Conference on
                 Parallel Processing for Scientific Computing (February
                 1995, San Francisco, CA)}",
  title =        "{Proceedings of the Seventh SIAM Conference on
                 Parallel Processing for Scientific Computing (February
                 1995, San Francisco, CA)}",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xviii + 875",
  year =         "1995",
  ISBN =         "0-89871-344-7",
  ISBN-13 =      "978-0-89871-344-2",
  LCCN =         "QA76.58.S55 1995",
  bibdate =      "Tue Sep 3 12:52:10 MDT 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
  sponsor =      "Society for Industrial and Applied Mathematics.",
}

@Proceedings{DAlmeida:1995:VPP,
  editor =       "F. D. D'Almeida and F. N. Ferreira and B. H. V.
                 Topping",
  booktitle =    "{Vector and parallel processing: 1st International
                 meeting --- September 1993, Porto, Portugal}",
  title =        "{Vector and parallel processing: 1st International
                 meeting --- September 1993, Porto, Portugal}",
  volume =       "6(4)",
  publisher =    pub-PERGAMON,
  address =      pub-PERGAMON:adr,
  pages =        "????",
  year =         "1995",
  CODEN =        "COSEEO",
  ISSN =         "0956-0521 (print), 1873-6211 (electronic)",
  bibdate =      "Tue Sep 3 12:52:10 MDT 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  note =         "Also known as VecPar'93.",
  series =       "Computing Systems in Engineering",
  acknowledgement = ack-nhfb,
  sponsor =      "University of Porto. Engineering Faculty.",
}

@Proceedings{Moonen:1995:APV,
  editor =       "Marc S. Moonen and Francky Catthoor",
  booktitle =    "{Algorithms and parallel VLSI architectures III:
                 proceedings of the International Workshop, Algorithms
                 and Parallel VLSI Architectures III, Leuven, Belgium,
                 August 29--31, 1994}",
  title =        "{Algorithms and parallel VLSI architectures III:
                 proceedings of the International Workshop, Algorithms
                 and Parallel VLSI Architectures III, Leuven, Belgium,
                 August 29--31, 1994}",
  publisher =    pub-ELS,
  address =      pub-ELS:adr,
  pages =        "x + 413",
  year =         "1995",
  ISBN =         "0-444-82106-6",
  ISBN-13 =      "978-0-444-82106-5",
  LCCN =         "QA76.58 .I57 1994",
  bibdate =      "Tue Sep 3 12:52:10 MDT 1996",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  series =       "Algorithms and Parallel VLSI Architectures",
  acknowledgement = ack-nhfb,
  sponsor =      "IEEE; Benelux Signal Processing Chapter. IEEE; Benelux
                 Circuits and Systems Chapter.",
}

@Proceedings{Papadrakakis:1996:ACM,
  editor =       "Manolis Papadrakakis and G. Bugeda",
  booktitle =    "{Advanced computational methods in structural
                 mechanics: Human Capital and Mobility Workshop on
                 Advanced Finite Element Solution Procedures on
                 Innovative Computer Architectures, held in Barcelona,
                 April 6--7, 1995}",
  title =        "{Advanced computational methods in structural
                 mechanics: Human Capital and Mobility Workshop on
                 Advanced Finite Element Solution Procedures on
                 Innovative Computer Architectures, held in Barcelona,
                 April 6--7, 1995}",
  publisher =    "International Centre for Numerical Methods in
                 Engineering (CIMNE)",
  address =      "Barcelona, Spain",
  pages =        "374",
  year =         "1996",
  ISBN =         "84-87867-75-8",
  ISBN-13 =      "978-84-87867-75-0",
  LCCN =         "????",
  bibdate =      "Mon Jan 2 16:50:10 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 z3950.gbv.de:20011/gvk",
  acknowledgement = ack-nhfb,
}

@Proceedings{Dongarra:1997:VPP,
  editor =       "J. J. Dongarra and Jose M. L. M. Palma",
  booktitle =    "{Vector and parallel processing---VECPAR '96: Second
                 International Conference on Vector and Parallel
                 Processing-Systems and Applications, Porto, Portugal,
                 September 25--27, 1996: Selected Papers}",
  title =        "{Vector and parallel processing---VECPAR '96: Second
                 International Conference on Vector and Parallel
                 Processing-Systems and Applications, Porto, Portugal,
                 September 25--27, 1996: Selected Papers}",
  volume =       "1215",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xi + 469",
  year =         "1997",
  CODEN =        "LNCSD9",
  DOI =          "????",
  ISBN =         "3-540-62828-2",
  ISBN-13 =      "978-3-540-62828-6",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  LCCN =         "QA76.58 .I552 1996",
  bibdate =      "Mon Aug 25 09:50:07 MDT 1997",
  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",
  series =       ser-LNCS,
  URL =          "http://link.springer-ny.com/link/service/series/0558/tocs/t1215.htm;
                 http://www.springerlink.com/openurl.asp?genre=issue&issn=0302-9743&volume=1215",
  acknowledgement = ack-nhfb,
  keywords =     "parallel processing (electronic computers) ---
                 congresses; vector processing (computer science) ---
                 congresses",
}

@Proceedings{Duff:1997:PWD,
  editor =       "Iain Duff and Nick Gould and Craig Douglas and Luc
                 Giraud",
  booktitle =    "{Proceedings of the Workshop on Direct Methods,
                 September 26--29, 1995; the Workshop on Linear Algebra
                 in Optimization, April 22--25, 1996; and the Workshop
                 on Iterative Methods, June 10--13, 1996, held in
                 Toulouse as part of the International Linear Algebra
                 Year (ILAY)}",
  title =        "{Proceedings of the Workshop on Direct Methods,
                 September 26--29, 1995; the Workshop on Linear Algebra
                 in Optimization, April 22--25, 1996; and the Workshop
                 on Iterative Methods, June 10--13, 1996, held in
                 Toulouse as part of the International Linear Algebra
                 Year (ILAY)}",
  publisher =    "BIT",
  address =      "Copenhagen",
  pages =        "i--ii and 473--769",
  year =         "1997",
  CODEN =        "NBITAB",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  MRclass =      "65-06 (65F10 65K05)",
  MRnumber =     "MR1483670 (98f:65005)",
  bibdate =      "Mon Jan 2 09:11:24 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  note =         "BIT {\bf 37} (1997), no. 3",
  acknowledgement = ack-nhfb,
  xxtitle =      "Direct methods, linear algebra in optimization,
                 iterative methods",
}

@Proceedings{Duff:1997:SAN,
  editor =       "Iain S. Duff and G. Alistair Watson",
  booktitle =    "The state of the art in numerical analysis",
  title =        "The state of the art in numerical analysis",
  volume =       "63",
  publisher =    pub-OXFORD,
  address =      pub-OXFORD:adr,
  pages =        "xiv + 562",
  year =         "1997",
  ISBN =         "0-19-850014-9",
  ISBN-13 =      "978-0-19-850014-8",
  LCCN =         "QA297.S775 1997",
  MRclass =      "65-06 (00B25)",
  MRnumber =     "MR1628339 (99a:65008)",
  bibdate =      "Thu Sep 16 11:59:48 1999",
  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/g/gould-nicholas-ian.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/numana1990.bib",
  note =         "Based on the proceedings of a conference on the state
                 of the art in numerical analysis. Organized by the
                 Institute of Mathematics and Its Applications and held
                 at York University in April 1996.",
  series =       "The Institute of Mathematics and Its Applications
                 conference series: new series",
  URL =          "https://global.oup.com/academic/product/the-state-of-the-art-in-numerical-analysis-9780198500148",
  acknowledgement = ack-nhfb,
  tableofcontents = "1. Recent Developments in Dense Numerical Linear
                 Algebra / N. J. Higham \\
                 2. Sparse Numerical Linear Algebra: Direct Methods and
                 Preconditioning / I. S. Duff \\
                 3. Closer to the Solution: Iterative Linear Solvers /
                 G. H. Golub and H. A. van der Vorst \\
                 4. 150 Years Old and Still Alive: Eigenproblems / H. A.
                 van der Vorst and G. H. Golub \\
                 5. Geometric Integration / J. M. Sanz-Serna \\
                 6. Convergence and Stability in the Numerical
                 Approximation of Dynamical Systems / A. Stuart \\
                 7. Beyond the Classical Theory of Computational
                 Ordinary Differential Equations / A. Iserles \\
                 8. Numerical Analysis of Volterra Functional and
                 Integral Equations / C. T. H. Baker \\
                 9. The Numerical Solution of Boundary Integral
                 Equations / K. E. Atkinson \\
                 10. Aspects of Approximation with Emphasis on the
                 Univariate Case / G. A. Watson \\
                 11. A Review of Methods for Multivariable Interpolation
                 at Scattered Data Points / M. J. D. Powell \\
                 12. Large Scale Unconstrained Optimization / J. Nocedal
                 \\
                 13. Interior Point Methods for Linear and Nonlinear
                 Programming / D. F. Shanno and E. M. Simantiraki \\
                 14. Methods for Nonlinear Constraints in Optimization
                 Calculations / A. R. Conn, N. I. M. Gould and Ph. L.
                 Toint \\
                 15. Stabilization Techniques and Subgrid Scales
                 Capturing, F. Brezzi, L. P. Franca / T. J. R. Hughes
                 and A. Russo \\
                 16. Approximation of Curvature Dependent Interface
                 Motion / C. M. Elliott \\
                 17. Finite Element Methods for Hyperbolic Problems: a
                 Posteriori Error Analysis and Adaptivity / E. S{\"u}li
                 and P. Houston \\
                 18. Approximation of Multidimensional Hyperbolic
                 Partial Differential Equations / K. W. Morton \\
                 19. Algorithms in Tomography / F. Natterer \\
                 20. Partial Differential Equations and Image Iterative
                 Filtering / F. Guichard and J.-M. Morel",
}

@Book{Arbenz:1998:HPA,
  editor =       "Peter Arbenz and Marcin Paprzycki and Ahmed Sameh and
                 Vivek Sarin",
  booktitle =    "High performance algorithms for structured matrix
                 problems",
  title =        "High performance algorithms for structured matrix
                 problems",
  volume =       "2",
  publisher =    "Nova Science",
  address =      "Commack, NY, USA",
  pages =        "viii + 203",
  year =         "1998",
  ISBN =         "1-56072-594-X",
  ISBN-13 =      "978-1-56072-594-7",
  LCCN =         "QA267 .A345 1996; QA76.9.A43+",
  bibdate =      "Mon Jan 2 17:30:33 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 melvyl.cdlib.org:210/CDL90;
                 z3950.loc.gov:7090/Voyager",
  series =       "Advances in the theory of computation and
                 computational mathematics",
  acknowledgement = ack-nhfb,
  subject =      "Computer algorithms; High performance computing;
                 Parallel processing (Electronic computers); Matrices",
}

@Proceedings{Allan:1999:HPC,
  editor =       "R. J. Allan and M. F. Guest and A. D. Simpson and D.
                 S. Henty and D. A. Nicole",
  booktitle =    "{High-performance computing}",
  title =        "{High-performance computing}",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  pages =        "xiii + 584",
  year =         "1999",
  ISBN =         "0-306-46034-3",
  ISBN-13 =      "978-0-306-46034-0",
  LCCN =         "QA76.88 .H49 1999",
  bibdate =      "Mon Jan 2 16:58:50 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "Proceedings of the High-Performance Computing
                 Initiative (HPCI) Conference, held January 12--14,
                 1998, in Manchester, England",
  acknowledgement = ack-nhfb,
  subject =      "High performance computing; Congresses",
}

@Proceedings{Amestoy:1999:EPP,
  editor =       "Patrick Amestoy and Philippe Berger and Michel
                 Dayd{\'e} and Iain Duff and Val{\'e}rie Frayss{\'e} and
                 Luc Giraud and Daniel Ruiz",
  booktitle =    "{Euro-Par'99 parallel processing: 5th International
                 Euro-Par Conference, Toulouse, France, August
                 31-September 3, 1999: Proceedings}",
  title =        "{Euro-Par'99 parallel processing: 5th International
                 Euro-Par Conference, Toulouse, France, August
                 31-September 3, 1999: Proceedings}",
  volume =       "1685",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xxxii + 1503",
  year =         "1999",
  CODEN =        "LNCSD9",
  ISBN =         "3-540-66443-2",
  ISBN-13 =      "978-3-540-66443-7",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  LCCN =         "QA76.58 .I553 1999",
  MRclass =      "65-06 (65Y05 68-06 68W10)",
  MRnumber =     "MR1847719 (2002c:65005)",
  bibdate =      "Mon Nov 22 09:58:27 2004",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  series =       ser-LNCS,
  URL =          "http://link.springer-ny.com/link/service/series/0558/tocs/t1685.htm;
                 http://www.springerlink.com/openurl.asp?genre=issue&issn=0302-9743&volume=1685",
  acknowledgement = ack-nhfb,
  keywords =     "Parallel processing (Electronic computers)",
}

@Proceedings{Anonymous:1999:PCC,
  editor =       "Anonymous",
  booktitle =    "Proceedings of the Computational Cattle Breeding '99
                 Workshop, Tuusula, Finland, March 18--20, 1999",
  title =        "Proceedings of the Computational Cattle Breeding '99
                 Workshop, Tuusula, Finland, March 18--20, 1999",
  volume =       "20",
  publisher =    "International Bull Evaluation Service",
  address =      "Uppsala, Sweden",
  pages =        "119",
  year =         "1999",
  ISBN =         "????",
  ISBN-13 =      "????",
  ISSN =         "1011-6079",
  LCCN =         "????",
  bibdate =      "Mon Jan 02 17:03:50 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  acknowledgement = ack-nhfb,
}

@Proceedings{Bell:1999:SCP,
  editor =       "Kenneth L. Bell and K. A. Berrington and D. S. F.
                 Crothers and A. Hibbert and K. T. Taylor",
  booktitle =    "Supercomputing, collision processes, and
                 applications",
  title =        "Supercomputing, collision processes, and
                 applications",
  publisher =    pub-KLUWER,
  address =      pub-KLUWER:adr,
  pages =        "vii + 284",
  year =         "1999",
  ISBN =         "0-306-46190-0",
  ISBN-13 =      "978-0-306-46190-3",
  LCCN =         "QC794.6.C6 S86 1999",
  bibdate =      "Mon Jan 2 17:11:17 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "Proceedings of an International Conference on
                 Supercomputing, Collision Processes, and Applications
                 held September 14--16, 1998, in Belfast, Northern
                 Ireland, to make the occasion of the retirement of
                 Professor Philip G. Burke, CBC, FSR.",
  series =       "Physics of atoms and molecules",
  acknowledgement = ack-nhfb,
  subject =      "Collisions (Nuclear physics); Congresses;
                 Supercomputers",
  xxbooktitle =  "Supercomputer, collision processes, and applications",
  xxtitle =      "Supercomputer, collision processes, and applications",
}

@Book{Papadrakakis:1999:ICM,
  editor =       "Manolis Papadrakakis and B. H. V. Topping",
  booktitle =    "Innovative computational methods for structural
                 mechanics",
  title =        "Innovative computational methods for structural
                 mechanics",
  publisher =    "Saxe-Coburg Publications",
  address =      "Edinburgh, Scotland",
  pages =        "iv + 318",
  year =         "1999",
  ISBN =         "1-874672-05-9",
  ISBN-13 =      "978-1-874672-05-0",
  LCCN =         "TA647 .I54 1999",
  bibdate =      "Mon Jan 2 17:06:52 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  subject =      "Structural analysis (Engineering); Data processing",
}

@Proceedings{ACM:2000:SHP,
  editor =       "{ACM}",
  booktitle =    "{SC2000: High Performance Networking and Computing.
                 Dallas Convention Center, Dallas, TX, USA, November
                 4--10, 2000}",
  title =        "{SC2000: High Performance Networking and Computing.
                 Dallas Convention Center, Dallas, TX, USA, November
                 4--10, 2000}",
  publisher =    pub-ACM # " and " # pub-IEEE,
  address =      pub-ACM:adr # " and " # pub-IEEE:adr,
  pages =        "????",
  year =         "2000",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "QA76.88",
  bibdate =      "Thu Feb 24 09:35:00 2000",
  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",
  URL =          "http://www.sc2000.org/proceedings/info/fp.pdf",
  acknowledgement = ack-nhfb,
}

@Proceedings{Saad:2000:PTL,
  editor =       "Yousef Saad and Owe Axelsson and Iain Duff and Wei-Pai
                 Tang and Andy Wathen",
  booktitle =    "Preconditioning techniques for large sparse matrix
                 problems in industrial applications",
  title =        "Preconditioning techniques for large sparse matrix
                 problems in industrial applications",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "iv + 489--762",
  year =         "2000",
  CODEN =        "NLAAEM",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  MRclass =      "65-06",
  MRnumber =     "MR1800674 (2001f:65005)",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 MathSciNet database",
  note =         "Papers from the International Conference (SPARSE '99)
                 held at the University of Minnesota, Minneapolis, MN,
                 June 10--12, 1999, Numer. Linear Algebra Appl. {\bf 7}
                 (2000), no. 7--8.",
  acknowledgement = ack-nhfb,
}

@Proceedings{Anonymous:2001:PTS,
  editor =       "Anonymous",
  booktitle =    "{Proceedings of the Tenth SIAM Conference on Parallel
                 Processing for Scientific Computing 2001}",
  title =        "{Proceedings of the Tenth SIAM Conference on Parallel
                 Processing for Scientific Computing 2001}",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "2001",
  ISBN =         "0-89871-492-3",
  ISBN-13 =      "978-0-89871-492-0",
  LCCN =         "QA76.58",
  bibdate =      "Mon Jan 2 17:18:12 MST 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "1 CD-ROM.",
  acknowledgement = ack-nhfb,
  meetingname =  "SIAM Conference on Parallel Processing for Scientific
                 Computing (10th: 2001: Portsmouth, VA)",
  remark =       "Title from disc label: Science and industry advance
                 with mathematics",
  subject =      "Parallel processing (Electronic computers);
                 Congresses",
}

@Proceedings{Sorevik:2001:APC,
  editor =       "Tor S{\o}revik and Fredrik Manne and Randi Moe and
                 Assefaw Hadish Gebremedhin",
  booktitle =    "{Applied parallel computing: new paradigms for HPC in
                 industry and academia: 5th International Workshop, PARA
                 2000, Bergen, Norway, June 18--20, 2000: Proceedings}",
  title =        "{Applied parallel computing: new paradigms for HPC in
                 industry and academia: 5th International Workshop, PARA
                 2000, Bergen, Norway, June 18--20, 2000: Proceedings}",
  volume =       "1947",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xii + 400",
  year =         "2001",
  CODEN =        "LNCSD9",
  ISBN =         "3-540-41729-X (softcover)",
  ISBN-13 =      "978-3-540-41729-3 (softcover)",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  LCCN =         "QA76.58 .P353 2000",
  bibdate =      "Thu Jan 17 11:49:19 MST 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  series =       ser-LNCS,
  URL =          "http://link.springer-ny.com/link/service/series/0558/tocs/t1947.htm;
                 http://www.springerlink.com/openurl.asp?genre=issue&issn=0302-9743&volume=1947",
  acknowledgement = ack-nhfb,
  keywords =     "high performance computing --- congresses; parallel
                 processing (electronic computers) --- congresses",
}

@Proceedings{vanderVorst:2001:CMC,
  editor =       "Henk van der Vorst and Iain Duff and Howard Elman and
                 Roland Freund and Tim Kelley and Seymour Parter and
                 others",
  booktitle =    "{Copper Mountain Conference}",
  title =        "{Copper Mountain Conference}",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "viii + 363--682 (electronic)",
  year =         "2001",
  CODEN =        "SJOCE3",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65-06",
  MRnumber =     "MR1861253",
  bibdate =      "Sat Dec 31 06:28:14 2005",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/23/2;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib;
                 MathSciNet database",
  note =         "Papers from the 6th Conference on Iterative Methods
                 held in Copper Mountain, CO, April 3--7, 2000, SIAM J.
                 Sci. Comput. {\bf 23} (2001), no. 2.",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/97414",
  acknowledgement = ack-nhfb,
}

@Proceedings{Vulkov:2001:NAA,
  editor =       "Lubin Vulkov and Jerzy Wa{\'s}niewski and Plamen
                 Yalamov",
  booktitle =    "{Numerical analysis and its applications: Second
                 International Conference, NAA 2000, Rousse, Bulgaria,
                 June 11--15, 2000: Revised Papers}",
  title =        "{Numerical analysis and its applications: Second
                 International Conference, NAA 2000, Rousse, Bulgaria,
                 June 11--15, 2000: Revised Papers}",
  volume =       "1988",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xiii + 782",
  year =         "2001",
  CODEN =        "LNCSD9",
  ISBN =         "3-540-41814-8 (softcover)",
  ISBN-13 =      "978-3-540-41814-6 (softcover)",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  LCCN =         "QA297 .N8415 2001; QA267.A1 L43 no.1988",
  bibdate =      "Thu Jan 17 11:49:19 MST 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib",
  series =       ser-LNCS,
  URL =          "http://link.springer-ny.com/link/service/series/0558/tocs/t1988.htm;
                 http://www.springerlink.com/openurl.asp?genre=issue&issn=0302-9743&volume=1988",
  acknowledgement = ack-nhfb,
  keywords =     "numerical analysis --- congresses",
}

@Proceedings{Wyrzykowski:2004:PPA,
  editor =       "Roman Wyrzykowski and Jack Dongarra and Marcin
                 Paprzycki and Jerzy Wa{\'s}niewski",
  booktitle =    "{Parallel Processing and Applied Mathematics: 5th
                 International Conference, PPAM 2003, Cz{\k{e}}stochowa,
                 Poland, September 7--10, 2003: Revised Papers}",
  title =        "{Parallel Processing and Applied Mathematics: 5th
                 International Conference, PPAM 2003, Cz{\k{e}}stochowa,
                 Poland, September 7--10, 2003: Revised Papers}",
  volume =       "3019",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xix + 1174",
  year =         "2004",
  CODEN =        "LNCSD9",
  DOI =          "https://doi.org/10.1007/b97218",
  ISBN =         "3-540-21946-3",
  ISBN-13 =      "978-3-540-21946-0",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  LCCN =         "QA76.58 .P69 2003",
  bibdate =      "Thu Nov 11 19:26:30 MST 2004",
  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",
  series =       ser-LNCS,
  URL =          "http://link.springer-ny.com/link/service/series/0558/tocs/t3019.htm;
                 http://www.springerlink.com/openurl.asp?genre=issue&issn=0302-9743&volume=3019;
                 http://www.springerlink.com/openurl.asp?genre=volume&id=doi:10.1007/b97218",
  acknowledgement = ack-nhfb,
}

%%% Last MathSciNet database search: Sat Sep 23 14:31:39 2023