%%% -*-BibTeX-*-
%%% ====================================================================
%%%  BibTeX-file{
%%%     author-1        = "Nelson H. F. Beebe",
%%%     author-2        = "Stefano Foresti",
%%%     version         = "1.02",
%%%     date            = "13 April 2008",
%%%     time            = "09:04:40 MDT",
%%%     filename        = "golub-gene-h.bib",
%%%     address-1       = "University of Utah
%%%                        Department of Mathematics, 110 LCB
%%%                        155 S 1400 E RM 233
%%%                        Salt Lake City, UT 84112-0090
%%%                        USA",
%%%     address-2       = "Center for High-Performance Computing
%%%                        University of Utah
%%%                        Salt Lake City, UT 84112
%%%                        USA",
%%%     telephone-1     = "+1 801 581 5254",
%%%     telephone-2     = "+1 801 581 3173",
%%%     FAX-1           = "+1 801 581 4148",
%%%     FAX-2           = "+1 801 585 5366",
%%%     URL-1           = "http://www.math.utah.edu/~beebe",
%%%     checksum        = "09596 9139 38692 384644",
%%%     email-1         = "beebe at math.utah.edu, beebe at acm.org,
%%%                        beebe at computer.org (Internet)",
%%%     email-2         = "stefano at chpc.utah.edu (Internet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "bibliography, linear algebra, numerical
%%%                       analysis, singular value decomposition, SVD",
%%%     license         = "public domain",
%%%     supported       = "yes",
%%%     docstring       = "This is a fairly complete bibliography of
%%%                        publications of the late Gene Howard Golub
%%%                        (February 29, 1932--November 16, 2007).
%%%
%%%                        At version 1.02, the year coverage looked
%%%                        like this:
%%%
%%%                             1959 (   1)    1976 (  11)    1993 (  12)
%%%                             1960 (   0)    1977 (  12)    1994 (  17)
%%%                             1961 (   2)    1978 (  12)    1995 (   8)
%%%                             1962 (   2)    1979 (  18)    1996 (  11)
%%%                             1963 (   2)    1980 (   7)    1997 (  12)
%%%                             1964 (   0)    1981 (   5)    1998 (   6)
%%%                             1965 (   7)    1982 (   7)    1999 (  10)
%%%                             1966 (   1)    1983 (   8)    2000 (   9)
%%%                             1967 (   2)    1984 (   7)    2001 (   7)
%%%                             1968 (   3)    1985 (   2)    2002 (   4)
%%%                             1969 (   9)    1986 (   4)    2003 (   7)
%%%                             1970 (   8)    1987 (  10)    2004 (   7)
%%%                             1971 (   5)    1988 (   9)    2005 (  10)
%%%                             1972 (   2)    1989 (  13)    2006 (   7)
%%%                             1973 (  16)    1990 (  15)    2007 (  11)
%%%                             1974 (   8)    1991 (  21)
%%%                             1975 (   5)    1992 (  14)
%%%
%%%                             Article:        201
%%%                             Book:            27
%%%                             InCollection:    22
%%%                             InProceedings:   51
%%%                             PhdThesis:        1
%%%                             Proceedings:     55
%%%                             TechReport:      29
%%%
%%%                             Total entries:  386
%%%
%%%                        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 OCLC Contents1st and Article1st
%%%                          databases;
%%%                        * the AMS MathSciNet database;
%%%                        * Gene Golub's personal curriculum vita
%%%                          file.
%%%
%%%                        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.
%%%
%%%                        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.",
%%%  }
%%% ====================================================================

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

@String{ack-gg =    "Grant Gustafson,
                    Department of Mathematics,
                    University of Utah,
                    Salt Lake City, UT 84112, USA,
                    Tel: +1 801 581 6879,
                    e-mail: Internet: \path|gustafso@math.utah.edu|"}

@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|beebe@math.utah.edu|,
                            \path|beebe@acm.org|,
                            \path|beebe@computer.org| (Internet),
                    URL: \path|http://www.math.utah.edu/~beebe/|"}

@String{ack-nj = "Norbert Juffa,
                  2445 Mission College Blvd.
                  Santa Clara, CA 95054
                  USA
                  email: \path=norbert@iit.com="}

@String{ack-sf = "Stefano Foresti,
                  Center for High-Performance Computing,
                  University of Utah,
                  Salt Lake City, UT 84112, USA,
                  Tel: +1 801 581 3173,
                  FAX: +1 801 585 5366,
                  e-mail: \path|stefano@chpc.utah.edu|"}

%%% ====================================================================
%%% Institutional abbreviations:

@String{inst-ANL                = "Argonne National Laboratory"}

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

@String{inst-CORNELL            = "Cornell University"}

@String{inst-CORNELL:adr        = "Ithaca, NY, USA"}

@String{inst-CSRD               = "Center for Supercomputing Research
                                  and Development"}

@String{inst-CSRD:adr           = "University of Illinois at
                                  Urbana-Champaign, Urbana, IL, USA"}

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

@String{inst-STANFORD-CS:adr    = "Stanford, CA"}

@String{inst-U-MARYLAND         = "University of Maryland"}

@String{inst-U-MARYLAND-CS      = "Department of Computer Science,
                                  University of Maryland"}

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

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

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

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

@String{j-AMER-STAT             = "The American Statistician"}

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

@String{j-ANN-MATH-STAT         = "Ann. Math. Statist."}

@String{j-ANN-NUM-MATH          = "Annals of Numerical Mathematics"}

@String{j-APL-MAT               = "Aplicace Mathematicky"}

@String{j-APPL-MATH-OPTIM       = "Appl. Math. Optim."}

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

@String{j-BIT                   = "BIT"}

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

@String{j-BULL-AUSTRAL-MATH-SOC = "Bull. Austral. Math. Soc."}

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

@String{j-CALCOLO               = "Calcolo"}

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

@String{j-COMP-METH-APPL-MECH-ENG = "Comp. Methods in Appl. Mech.
                                  and Engrg."}

@String{j-COMP-PHYS             = "J. Computational Physics"}

@String{j-COMPUT-SYST-ENG       = "Computing Systems in Engineering"}

@String{j-COMPUTING             = "Computing"}

@String{j-IEEE-TRANS-AUTO-CTL   = "IEEE Transactions on Automatic Control"}

@String{j-IEEE-TRANS-CIRC-SYS   = "IEEE Trans. on Circuits and Systems"}

@String{j-IEEE-TRANS-CIRCUITS-SYST-2 = "IEEE transactions on circuits and
                                  systems. 2, Analog and digital signal
                                  processing"}

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

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

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

@String{j-IMA-VOL-MATH-APPL     = "The IMA volumes in mathematics and its
                                  applications"}

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

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

@String{j-INVERSE-PROBLEMS      = "Inverse Problems"}

@String{j-J-AM-STAT-ASSOC       = "Journal of the American Statistical
                                  Association"}

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

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

@String{j-J-ECONOMETRICS        = "J. of Econometrics"}

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

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

@String{j-MAA-STUD-MATH         = "MAA studies in mathematics"}

@String{j-MATH-ANAL-APPL        = "J. Math. Anal. Appl."}

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

@String{j-MITT-MATH-GES-HAMBURG = "Mitteilungen der Mathematischen
                                  Gessellschaft in Hamburg"}

@String{j-NORDISK-TIDSKR-INFORM-BEHAND = "Nordisk tidskrift for
                                  informationsbehandling"}

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

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

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

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

@String{j-PROC-SPIE             = "Proceedings of the SPIE --- The
                                  International Society for Optical
                                  Engineering"}

@String{j-ROCKY-MOUNTAIN-J-MATH = "Rocky Mountain J. of Math."}

@String{j-SIAM                  = "Journal of the Society for Industrial
                                  and Applied Mathematics"}

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

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

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

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

@String{j-SIAM-J-NUM-ANALYSIS-B = "Journal of the Society for Industrial and
                                  Applied Mathematics: Series B, 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                = "ACM SIGNUM Newsletter"}

@String{j-SIGPLAN               = "ACM SIGPLAN Notices"}

@String{j-STAT-COMPUT-SIMUL     = "J. Stat. Comput. Simul."}

@String{j-SYST-CONTROL          = "Systems and Control"}

@String{j-SYST-CONTROL-LETT     = "Systems and Control Letters"}

@String{j-TECHNOMETRICS         = "Technometrics"}

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

@String{j-ZEIT-ANGE-MATH-PHYS   = "Z. Angew. Math. Phys"}

%%% ====================================================================
%%% Miscellaneous abbreviations:

@String{prep-latex              = "Prepared with {\LaTeX}."}

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

@String{pub-ACM                 = "ACM Press"}

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

@String{pub-AMS                 = "American Mathematical Society"}

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

@String{pub-AP                  = "Academic Press"}

@String{pub-AP:adr              = "Boston, MA, USA"}

@String{pub-BIRKHAUSER          = "Birkh{\"a}user Verlag"}

@String{pub-BIRKHAUSER:adr      = "Basel, Switzerland"}

@String{pub-CUP                 = "Cambridge University Press"}

@String{pub-CUP:adr             = "Cambridge, UK"}

@String{pub-ELS                 = "Elsevier"}

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

@String{pub-ENH                 = "Elsevier North-Holland, Inc."}

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

@String{pub-ESP                 = "Elsevier Science Publishers"}

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

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

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

@String{pub-IEEE                = "IEEE Computer Society Press"}

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

@String{pub-JH                  = "The Johns Hopkins University Press"}

@String{pub-JH:adr              = "Baltimore, MD, USA"}

@String{pub-JHUP                = "The Johns Hopkins University Press"}

@String{pub-JHUP:adr            = "Baltimore, MD, USA"}

@String{pub-KLUWER              = "Kluwer Academic Publishers Group"}

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

@String{pub-LONGMAN             = "Longman Scientific and Technical"}

@String{pub-LONGMAN:adr         = "Essex, UK"}

@String{pub-MATH-ASSOC-AMER     = "Mathematical Association of America"}

@String{pub-MATH-ASSOC-AMER:adr = "Washington, DC, USA"}

@String{pub-NH                  = "North-Holland Publishing Co."}

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

@String{pub-NORTH-OXFORD        = "North Oxford Academic"}

@String{pub-NORTH-OXFORD:adr    = "Oxford, England"}

@String{pub-OXFORD              = "Oxford University Press"}

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

@String{pub-PHYSICA             = "Physica-Verlag"}

@String{pub-PHYSICA:adr         = "Wien, Austria"}

@String{pub-ROCQUENCOURT        = "Rocquencourt"}

@String{pub-ROCQUENCOURT:adr    = "Centre de Rocquencourt, France"}

@String{pub-SIAM                = "Society for Industrial and Applied
                                  Mathematics"}

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

@String{pub-SPARTAN             = "Spartan Books"}

@String{pub-SPARTAN:adr         = "London, England"}

@String{pub-SV                  = "Spring{\-}er-Ver{\-}lag"}

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

@String{pub-TEUBNER             = "Teubner"}

@String{pub-TEUBNER:adr         = "Stuttgart, Germany; Leipzig, Germany"}

@String{pub-U-ILLINOIS-PRESS    = "University of Illinois Press"}

@String{pub-U-ILLINOIS-PRESS:adr = "Urbana, IL, USA"}

@String{pub-US-ARO              = "U.S. Army Research Office"}

@String{pub-US-ARO:adr          = "Research Triangle Park, NC, USA"}

@String{pub-WATERLOO            = "University of Waterloo"}

@String{pub-WATERLOO:adr        = "Waterloo, Ontario, Canada"}

@String{pub-WESTERN-PERIODICALS = "Western Periodicals Co.,"}

@String{pub-WESTERN-PERIODICALS:adr = "North Hollywood, CA"}

@String{pub-WORLD-SCI           = "World Scientific Publishing
                                  Co. Pte. Ltd."}

@String{pub-WORLD-SCI:adr       = "P. O. Box 128, Farrer Road,
                                  Singapore 9128, and River Edge, NJ, USA"}

%%% ====================================================================
%%% Bibliography entries.

@PhdThesis{Golub:1959:UCM,
  author =       "Gene Howard Golub",
  title =        "The Use of {Chebyshev} Matrix Polynomials in the
                 Iterative Solution of Linear Equations Compared to the
                 Method of Successive Overrelaxation",
  type =         "Ph.D. Thesis in Mathematics",
  school =       "Department of Computer Science, University of Illinois
                 at Urbana-Champaign",
  address =      "Urbana, IL, USA",
  pages =        "vi + 134",
  month =        mar,
  year =         "1959",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Techreports/university-of-illinois-urbana-champagne.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Also published as Technical Report UIUC-DCS-R-59-85.
                 Abstracted in Dissertation Abstracts, v. 20 (1959), no.
                 5.",
  keywords =     "relaxation methods (mathematics); numerical analysis;
                 numerical calculations",
}

@Article{Golub:1961:CSIa,
  author =       "Gene H. Golub and Richard S. Varga",
  title =        "{Chebyshev} Semi-Iterative Methods, Successive
                 Overrelaxation Iterative Methods, and Second Order
                 {Richardson} Iterative Methods. {I}",
  journal =      j-NUM-MATH,
  volume =       "3",
  number =       "1",
  pages =        "147--156",
  month =        dec,
  year =         "1961",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  MRclass =      "65.35",
  MRnumber =     "26\#3207",
  MRreviewer =   "J. R. Cannon",
  bibdate =      "Sun Jan 14 10:09:19 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Reprinted in \cite{Chan:2007:MMC}.",
  acknowledgement = ack-nhfb,
  keywords =     "nla, relaxation, iter, semi-iterative method,
                 Richardson's method",
}

@Article{Golub:1961:CSIb,
  author =       "Gene H. Golub and Richard S. Varga",
  title =        "{Chebyshev} Semi-Iterative Methods, Successive
                 Overrelaxation Iterative Methods, and Second Order
                 {Richardson} Iterative Methods. {II}",
  journal =      j-NUM-MATH,
  volume =       "3",
  number =       "1",
  pages =        "157--168",
  month =        dec,
  year =         "1961",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  MRclass =      "65.35",
  MRnumber =     "26\#3208",
  MRreviewer =   "J. R. Cannon",
  bibdate =      "Sun Jan 14 10:09:24 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
  keywords =     "nla, relaxation, iter, semi-iterative method,
                 Richardson's method",
}

@Article{Golub:1962:BET,
  author =       "Gene H. Golub",
  title =        "Bounds for Eigenvalues of Tridiagonal Symmetric
                 Matrices Computed by the {LR} Method",
  journal =      j-MATH-COMPUT,
  volume =       "16",
  number =       "80",
  pages =        "438--445",
  month =        oct,
  year =         "1962",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718",
  MRclass =      "65.40",
  MRnumber =     "29 \#732",
  MRreviewer =   "P. Henrici",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "JSTOR database;
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
}

@Article{Golub:1962:BRE,
  author =       "Gene H. Golub",
  title =        "Bounds for the Round-Off Errors in the {Richardson}
                 Second Order Method",
  journal =      j-NORDISK-TIDSKR-INFORM-BEHAND,
  volume =       "2",
  number =       "4",
  pages =        "212--223",
  month =        dec,
  year =         "1962",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01940168",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  MRclass =      "65.35",
  MRnumber =     "29\#2958",
  MRreviewer =   "A. S. Householder",
  bibdate =      "Wed Jan 4 18:52:07 MST 2006",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=2&issue=4",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=2&issue=4&spage=212",
  acknowledgement = ack-nhfb # " and " # ack-sf,
  keywords =     "floating-point arithmetic; rounding errors",
}

@Article{Golub:1963:CVM,
  author =       "Gene H. Golub",
  title =        "Comparison of the variance of minimum variance and
                 weighted least squares regression coefficient",
  journal =      j-ANN-MATH-STAT,
  volume =       "34",
  number =       "??",
  pages =        "984--991",
  month =        "??",
  year =         "1963",
  CODEN =        "AASTAD",
  ISSN =         "0003-4851",
  MRclass =      "62.55",
  MRnumber =     "27\#5336",
  MRreviewer =   "A. C. Cohen",
  bibdate =      "Sun Jan 14 10:07:20 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb # " and " # ack-sf,
}

@Article{Golub:1963:LBR,
  author =       "Gene H. Golub",
  title =        "On a Lower Bound for the Rank of a Partitioned Square
                 Matrix",
  journal =      j-MATH-COMPUT,
  volume =       "17",
  number =       "82",
  pages =        "186--188",
  month =        apr,
  year =         "1963",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718",
  MRclass =      "15.05",
  MRnumber =     "28\#1209",
  MRreviewer =   "Ky Fan",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "JSTOR database;
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
}

@Article{Businger:1965:LLS,
  author =       "Peter A. Businger and Gene H. Golub",
  title =        "Linear Least Squares Solutions by {Householder}
                 Transformations",
  journal =      j-NUM-MATH,
  volume =       "7",
  number =       "3",
  pages =        "269--276",
  month =        jun,
  year =         "1965",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  MRclass =      "65.20",
  MRnumber =     "31\#862",
  bibdate =      "Sun Jan 14 10:04:47 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Also in \cite[pp. 111--118]{Wilkinson:1971:LA}.",
  acknowledgement = ack-nhfb,
  keywords =     "Householder transformation; lsq; nla; qrd; software",
}

@Article{Forsythe:1965:SVS,
  author =       "George E. Forsythe and Gene H. Golub",
  title =        "On the Stationary Values of a Second-Degree Polynomial
                 on the Unit Sphere",
  journal =      j-SIAM,
  volume =       "13",
  number =       "??",
  pages =        "1050--1068",
  month =        "??",
  year =         "1965",
  MRclass =      "65.30",
  MRnumber =     "33\#3453",
  MRreviewer =   "A. V. Balakrishnan",
  bibdate =      "Sun Jan 14 10:01:11 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Cited in {\AA ke Bj\"orck's} bibliography on least
                 squares, which is available by anonymous ftp from {\tt
                 math.liu.se} in {\tt pub/references}.",
  acknowledgement = ack-nhfb,
  keywords =     "nla, updating",
}

@Article{Golub:1965:CSV,
  author =       "G. H. Golub and W. Kahan",
  title =        "Calculating the Singular Values and Pseudo-Inverse of
                 a Matrix",
  journal =      j-SIAM-J-NUM-ANALYSIS-B,
  volume =       "2",
  number =       "2",
  pages =        "205--224",
  month =        "????",
  year =         "1965",
  ISSN =         "0887-459X",
  MRclass =      "65.35",
  MRnumber =     "32 \#587",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 JSTOR database",
  note =         "Reprinted in \cite{Chan:2007:MMC}.",
  acknowledgement = ack-nhfb,
  keywords =     "nla, svd, ginv",
}

@InProceedings{Golub:1965:IRL,
  author =       "G. H. Golub and J. H. Wilkinson",
  title =        "Iterative Refinement of Least Square Solution",
  crossref =     "Kalenich:1965:IPP",
  pages =        "606--607",
  year =         "1965",
  bibdate =      "Wed Apr 13 09:33:42 2005",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
  keywords =     "nla, lsq, iterative refinement",
}

@Article{Golub:1965:NMSa,
  author =       "Gene H. Golub",
  title =        "Numerical methods for solving linear least squares
                 problems",
  journal =      j-APL-MAT,
  volume =       "10",
  number =       "??",
  pages =        "213--216",
  month =        "??",
  year =         "1965",
  CODEN =        "APMTAK",
  ISSN =         "0373-6725",
  MRclass =      "65.20",
  MRnumber =     "31\#5324",
  MRreviewer =   "W. J. Kotz{\'e}",
  bibdate =      "Sun Jan 14 10:03:53 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Reprinted in \cite{Chan:2007:MMC}.",
  acknowledgement = ack-nhfb,
}

@Article{Golub:1965:NMSb,
  author =       "G. H. Golub",
  title =        "Numerical Methods for Solving Linear Least Squares
                 Problems",
  journal =      j-NUM-MATH,
  volume =       "7",
  number =       "3",
  pages =        "206--216",
  month =        jun,
  year =         "1965",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  MRclass =      "65.20",
  MRnumber =     "31\#5323",
  MRreviewer =   "W. J. Kotz{\'e}",
  bibdate =      "Sun Jan 14 10:03:43 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
  keywords =     "Householder transformation; lsq; nla; qrd; updating",
}

@Article{Golub:1966:NIR,
  author =       "G. H. Golub and J. H. Wilkinson",
  title =        "Note on the Iterative Refinement of Least Squares
                 Solution",
  journal =      j-NUM-MATH,
  volume =       "9",
  number =       "2",
  pages =        "139--148",
  month =        dec,
  year =         "1966",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  MRclass =      "65.20",
  MRnumber =     "35 \#3849",
  MRreviewer =   "W. J. Kotz{\'e}",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
  keywords =     "condition; iterative refinement; la; lsq; nla; pert",
}

@Article{Bjorck:1967:API,
  author =       "{\AA}ke Bj{\"o}rck and Gene H. Golub",
  title =        "{Algol} programming: Iterative Refinement of Linear
                 Least Squares Solutions by {Householder}
                 Transformation",
  journal =      j-BIT,
  volume =       "7",
  number =       "4",
  pages =        "322--337",
  month =        dec,
  year =         "1967",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01939326",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  bibdate =      "Wed Jan 4 18:52:10 MST 2006",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Theory/gvl.bib;
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=7&issue=4",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=7&issue=4&spage=322",
  acknowledgement = ack-nhfb,
  keywords =     "nla, lsq, iterative refinement, Householder
                 transformation",
}

@Article{Golub:1967:GBA,
  author =       "G. H. Golub and T. N. Robertson",
  title =        "A generalized {Bairstow} algorithm",
  journal =      j-CACM,
  volume =       "10",
  number =       "6",
  pages =        "371--373",
  month =        jun,
  year =         "1967",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782",
  MRclass =      "65.50",
  MRnumber =     "39 \#2315",
  bibdate =      "Sat Nov 26 10:31:36 2005",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-sf,
}

@Article{Bartels:1968:ACS,
  author =       "Richard H. Bartels and Gene H. Golub",
  title =        "{Algorithm 328}: {Chebyshev} Solution to An
                 Overdetermined Linear System [{F4}]",
  journal =      j-CACM,
  volume =       "11",
  number =       "6",
  pages =        "428--430",
  month =        jun,
  year =         "1968",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782",
  bibdate =      "Fri Nov 25 18:20:20 MST 2005",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 ftp://ftp.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.acm.org/pubs/contents/journals/cacm/",
  note =         "See certification \cite{Schryer:1969:CA}.",
  acknowledgement = ack-nhfb,
  editorsnote =  "The following algorithm by Barrels and Golub relates
                 to the paper by the same authors in the Numerical
                 Analysis department of this issue on pages 401--406
                 \cite{Bartels:1968:NAS}. This is the first instance of
                 this type of concurrent publication in Communications
                 under the policy announced by the Editors of the two
                 departments, J. G. Herriot and J. F. Traub, in the
                 March 1967 issue.",
}

@Article{Bartels:1968:NAS,
  author =       "Richard H. Bartels and Gene H. Golub",
  title =        "Numerical Analysis: Stable numerical methods for
                 obtaining the {Chebyshev} solution to an overdetermined
                 system of equations",
  journal =      j-CACM,
  volume =       "11",
  number =       "6",
  pages =        "401--406",
  month =        jun,
  year =         "1968",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782",
  MRclass =      "65.35",
  MRnumber =     "39\#2302",
  bibdate =      "Thu Dec 08 06:16:41 2005",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 ftp://ftp.math.utah.edu/pub/tex/bib/cacm1960.bib;
                 http://www.acm.org/pubs/contents/journals/cacm/",
  note =         "See algorithm \cite{Bartels:1968:ACS}.",
  abstract =     "An implementation of Stiefel's exchange algorithm for
                 determining a Chebyshev solution to an overdetermined
                 system of linear equations is presented, that uses
                 Gaussian LU decomposition with row interchanges. The
                 implementation is computationally more stable than
                 those usually given in the literature. A generalization
                 of Stiefel's algorithm is developed which permits the
                 occasional exchange of two equations simultaneously.",
  acknowledgement = ack-nhfb # " and " # ack-sf,
  keywords =     "Chebyshev solutions; exchange algorithm; linear
                 equations; overdetermined linear systems",
}

@Article{Golub:1968:LSS,
  author =       "G. H. Golub",
  title =        "Least Squares, Singular Values, and Matrix
                 Approximations",
  journal =      j-APL-MAT,
  volume =       "13",
  number =       "??",
  pages =        "44--51",
  month =        "??",
  year =         "1968",
  CODEN =        "APMTAK",
  ISSN =         "0373-6725",
  MRclass =      "65.35",
  MRnumber =     "37 \#4944",
  MRreviewer =   "L. W. Ehrlich",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  keywords =     "nla, lsq, regr, svd, Schmidt-Mirsky theorem",
}

@Article{Bartels:1969:ASM,
  author =       "Richard H. Bartels and Gene H. Golub",
  title =        "{Algorithm 350}: simplex method procedure employing
                 {LU} decomposition [{H}]",
  journal =      j-CACM,
  volume =       "12",
  number =       "5",
  pages =        "275--278",
  month =        may,
  year =         "1969",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782",
  bibdate =      "Sat Nov 26 10:31:36 2005",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/cacm.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "ACM Algorithm 350.",
}

@Article{Bartels:1969:SML,
  author =       "Richard H. Bartels and Gene H. Golub",
  title =        "The Simplex Method of Linear Programming Using {LU}
                 Decomposition",
  journal =      j-CACM,
  volume =       "12",
  number =       "5",
  pages =        "266--268",
  month =        may,
  year =         "1969",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782",
  bibdate =      "Sat Nov 26 10:31:36 2005",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/cacm.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Reprinted in \cite{Chan:2007:MMC}.",
  keywords =     "nla, nlop, lud, linear programming, updating",
}

@Article{Businger:1969:AAS,
  author =       "Peter A. Businger and Gene H. Golub",
  title =        "{Algorithm 358}: singular value decomposition of a
                 complex matrix [{F1}, 4, 5]",
  journal =      j-CACM,
  volume =       "12",
  number =       "10",
  pages =        "564--565",
  month =        oct,
  year =         "1969",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782",
  bibdate =      "Sat Nov 26 10:31:36 2005",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/cacm.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "ACM Algorithm 358.",
}

@Article{Golub:1969:CGQ,
  author =       "Gene H. Golub and John H. Welsch",
  title =        "Calculation of {Gauss} Quadrature Rules",
  journal =      j-MATH-COMPUT,
  volume =       "23",
  number =       "106",
  pages =        "221--230",
  month =        apr,
  year =         "1969",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "JSTOR database; Theory/Matrix.bib;
                 ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Loose microfiche suppl A1--A10. Reprinted in
                 \cite{Chan:2007:MMC}.",
  acknowledgement = ack-nhfb,
  keywords =     "na, Gaussian quadrature",
}

@TechReport{Golub:1969:MDSa,
  author =       "G. H. Golub",
  title =        "Matrix Decompositions and Statistical Calculations",
  type =         "Technical Report",
  number =       "124",
  institution =  inst-STANFORD-CS,
  address =      inst-STANFORD-CS:adr,
  month =        "??",
  year =         "1969",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  keywords =     "stat, nla, lsq, qrd, svd",
}

@InCollection{Golub:1969:MDSb,
  author =       "G. H. Golub",
  title =        "Matrix Decompositions and Statistical Computation",
  crossref =     "Milton:1969:CSC",
  pages =        "365--397",
  year =         "1969",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
}

@TechReport{Golub:1969:SVR,
  author =       "G. H. Golub and R. Underwood",
  title =        "Stationary Values of the Ratio of Quadratic Forms
                 Subject to Linear Constraints",
  type =         "Technical Report",
  number =       "CS-142",
  institution =  inst-STANFORD-CS,
  address =      inst-STANFORD-CS:adr,
  month =        "??",
  year =         "1969",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Cited in {\AA ke Bj\"orck's} bibliography on least
                 squares, which is available by anonymous ftp from {\tt
                 math.liu.se} in {\tt pub/references}.",
  keywords =     "nla, geig, regularization",
}

@Article{Schryer:1969:CA,
  author =       "N. L. Schryer",
  title =        "Certification of {Algorithm 328 [F4]}: {``Chebyshev
                 Solution to an Overdetermined Linear System (Richard H.
                 Bartels and Gene H. Golub, Comm. ACM 11(6) 428
                 (1968))''}",
  journal =      j-CACM,
  volume =       "12",
  number =       "6",
  pages =        "326--326",
  month =        jun,
  year =         "1969",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782",
  bibdate =      "Sat Jul 05 16:49:36 1997",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 ftp://ftp.math.utah.edu/pub/tex/bib/cacm1960.bib",
  note =         "See \cite{Bartels:1968:ACS}.",
  acknowledgement = ack-nhfb,
}

@InCollection{Bartels:1970:NTM,
  author =       "R. H. Bartels and G. H. Golub and M. A. Saunders",
  title =        "Numerical Techniques in Mathematical Programming",
  crossref =     "Rosen:1970:SNP",
  pages =        "123--176",
  year =         "1970",
  MRclass =      "90.58 (65.00)",
  MRnumber =     "42 \#7277",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Cited in {\AA ke Bj\"orck's} bibliography on least
                 squares, which is available by anonymous ftp from {\tt
                 math.liu.se} in {\tt pub/references}.",
  keywords =     "nla, qrd, rank determination",
}

@Article{Buzbee:1970:DMS,
  author =       "B. L. Buzbee and G. H. Golub and C. W. Nielson",
  title =        "On Direct Methods for Solving {Poisson}'s Equations",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "7",
  number =       "4",
  pages =        "627--656",
  month =        dec,
  year =         "1970",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429",
  MRclass =      "65.66",
  MRnumber =     "44 \#4920",
  MRreviewer =   "G. T. McAllister",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 JSTOR database",
  note =         "Reprinted in \cite{Chan:2007:MMC}.",
  acknowledgement = ack-nhfb,
  keywords =     "nla, pde, direct Poisson solver, sparse",
}

@InProceedings{Golub:1970:LLS,
  author =       "G. H. Golub and M. A. Saunders",
  title =        "Linear Least Squares and Quadratic Programming",
  crossref =     "Adadie:1970:INP",
  pages =        "229--256",
  year =         "1970",
  MRclass =      "90C20",
  MRnumber =     "55 \#9983",
  bibdate =      "Fri Dec 20 16:55:01 1996",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Cited in {\AA ke Bj\"orck's} bibliography on least
                 squares, which is available by anonymous ftp from {\tt
                 math.liu.se} in {\tt pub/references}.",
  keywords =     "nlop, qrd, lsq, quadratic programming",
}

@Article{Golub:1970:SVD,
  author =       "G. H. Golub and C. Reinsch",
  title =        "Singular Value Decomposition and Least Squares
                 Solutions",
  journal =      j-NUM-MATH,
  volume =       "14",
  number =       "5",
  pages =        "403--420",
  month =        apr,
  year =         "1970",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Also in \cite[pp. 134--151]{Wilkinson:1971:LA}.
                 Reprinted in \cite{Chan:2007:MMC}.",
  keywords =     "lsq; nla; rank determination; regularization;
                 software; svd",
}

@Article{Golub:1970:SVR,
  author =       "Gene H. Golub and Richard Underwood",
  title =        "Stationary Values of the Ratio of Quadratic Forms
                 Subject to Linear Constraints",
  journal =      j-ZEIT-ANGE-MATH-PHYS,
  volume =       "21",
  number =       "??",
  pages =        "319--326 (or 318--326??)",
  month =        "??",
  year =         "1970",
  MRclass =      "65.40",
  MRnumber =     "42\#7056",
  MRreviewer =   "J. D. P. Donnelly",
  bibdate =      "Sun Jan 14 09:57:25 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
}

@Article{Buzbee:1971:DSD,
  author =       "B. L. Buzbee and F. W. Dorr and J. A. George and G. H.
                 Golub",
  title =        "The Direct Solution of the Discrete {Poisson} Equation
                 on Irregular Regions",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "8",
  number =       "4",
  pages =        "722--736",
  month =        dec,
  year =         "1971",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429",
  MRclass =      "65Q05",
  MRnumber =     "45 \#1403",
  MRreviewer =   "J. R. Kuttler",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "JSTOR database;
                 ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
  keywords =     "nla, pde, direct Poisson solver, sparse",
}

@Article{Golub:1971:AAC,
  author =       "G. H. Golub and L. B. Smith",
  title =        "{ACM} Algorithm 414: {Chebyshev} Approximation of
                 Continuous Functions by a {Chebyshev} System of
                 Functions",
  journal =      j-CACM,
  volume =       "14",
  number =       "11",
  pages =        "737--746",
  month =        nov,
  year =         "1971",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782",
  bibdate =      "Tue Sep 20 19:46:04 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/cacm.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "ACM Algorithm 414.",
  acknowledgement = ack-nj,
}

@InCollection{Golub:1971:DMS,
  author =       "G. H. Golub",
  title =        "Direct methods for solving elliptic difference
                 equations",
  crossref =     "Morris:1971:STN",
  pages =        "1--19",
  year =         "1971",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-sf,
}

@Article{Dahlquist:1972:BEL,
  author =       "Germund Dahlquist and Stanley C. Eisenstat and Gene H.
                 Golub",
  title =        "Bounds for the error of linear systems of equations
                 using the theory of moments",
  journal =      j-MATH-ANAL-APPL,
  volume =       "37",
  number =       "??",
  pages =        "151--166",
  month =        "??",
  year =         "1972",
  MRclass =      "65F99",
  MRnumber =     "45 1368",
  MRreviewer =   "J. G. Herriot",
  bibdate =      "Sun Jan 14 09:56:10 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb # " and " # ack-sf,
}

@TechReport{Golub:1972:LAS,
  author =       "G. H. Golub and R. Underwood and J. H. Wilkinson",
  title =        "The {L{\'a}nczos} Algorithm for the Symmetric
                 {$Ax=\lambda{Bx}$} Problem",
  type =         "Technical Report",
  number =       "STAN-CS-72-270",
  institution =  "Computer Science, Stanford University",
  address =      "Stanford, CA",
  pages =        "24",
  month =        "??",
  year =         "1972",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  keywords =     "nla, geig, Lanczos algorithm",
}

@Article{Bjorck:1973:NMC,
  author =       "{\AA}ke Bj{\"o}rck and Gene H. Golub",
  title =        "Numerical Methods for Computing Angles between Linear
                 Subspaces",
  journal =      j-MATH-COMPUT,
  volume =       "27",
  number =       "123",
  pages =        "579--594",
  month =        jul,
  year =         "1973",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718",
  MRclass =      "65F30",
  MRnumber =     "50 1485",
  MRreviewer =   "J. Legras",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "Parallel/par.lin.alg.bib; Theory/Matrix.bib; JSTOR
                 database;
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Reprinted in \cite{Chan:2007:MMC}.",
  acknowledgement = ack-nhfb,
  classcodes =   "B0240 (Probability and statistics); B0290H (Linear
                 algebra); C1140 (Probability and statistics); C4140
                 (Linear algebra)",
  corpsource =   "Link{\"o}ping Univ., Sweden",
  keywords =     "angles between linear; canonical; computing;
                 correlations; matrix algebra; numerical methods;
                 rectangular matrices; statistics; subspaces",
  kwds =         "math, nla, gsvd, canonical angles, subspace metric",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Concus:1973:UFD,
  author =       "Paul Concus and Gene H. Golub",
  title =        "Use of Fast Direct Methods for the Efficient Numerical
                 Solution of Nonseparable Elliptic Equations",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "10",
  number =       "6",
  pages =        "1103--1120",
  month =        dec,
  year =         "1973",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429",
  MRclass =      "65N05",
  MRnumber =     "49",
  MRreviewer =   "P. Laasonen",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "JSTOR database;
                 ftp://ftp.ira.uka.de/pub/bibliography/Theory/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
  keywords =     "nla, fast algorithm, elliptic pde, direct Poisson
                 solver",
}

@InCollection{Dantzig:1973:NSO,
  author =       "G. B. Dantzig and R. W. Cottle and B. C. Eaves and G.
                 H. Golub and F. S. Hillier and A. S. Manne and D. J.
                 Wilde and R. B. Wilson",
  title =        "On the need for a {Systems Optimization Laboratory}",
  crossref =     "Hu:1973:MPP",
  pages =        "1--32",
  year =         "1973",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-sf,
  xxnote =       "Is the cross-reference correct?? The original title
                 Mathematical Programming matches a great many library
                 catalog entries.",
}

@InProceedings{Golub:1973:CLI,
  author =       "G. H. Golub and W. Dent",
  title =        "Computation of the limited information maximum
                 likelihood estimator",
  crossref =     "Tarter:1973:PCS",
  pages =        "60--65",
  year =         "1973",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-sf,
}

@Article{Golub:1973:CSD,
  author =       "G. H. Golub and E. Seneta",
  title =        "Computation of the stationary distribution of an
                 infinite {Markov} matrix",
  journal =      j-BULL-AUSTRAL-MATH-SOC,
  volume =       "8",
  number =       "??",
  pages =        "333--341",
  month =        "??",
  year =         "1973",
  CODEN =        "ALNBAB",
  ISSN =         "0004-9727",
  MRclass =      "60J10 (68A10)",
  MRnumber =     "50 \#8710",
  MRreviewer =   "I. Vaduva",
  bibdate =      "Fri Dec 20 17:00:44 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-sf,
}

@Article{Golub:1973:DPI,
  author =       "G. H. Golub and V. Pereyra",
  title =        "The Differentiation of Pseudo-Inverses and Nonlinear
                 Least Squares Problems Whose Variables Separate",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "10",
  number =       "2",
  pages =        "413--432",
  month =        apr,
  year =         "1973",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429",
  MRclass =      "65F15",
  MRnumber =     "49 \#1753",
  MRreviewer =   "R. P. Tewarson",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "JSTOR database;
                 ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Reprinted in \cite{Chan:2007:MMC}.",
  acknowledgement = ack-nhfb,
}

@InProceedings{Golub:1973:EPR,
  author =       "Gene H. Golub and Irwin Guttman and Rudolf Dutter",
  title =        "Examination of pseudo-residuals of outliers for
                 detecting spurosity in the general univariate linear
                 model",
  crossref =     "Kabe:1973:MSI",
  pages =        "63--108",
  year =         "1973",
  MRclass =      "62J05",
  MRnumber =     "51 9380",
  MRreviewer =   "Colin L. Mallows",
  bibdate =      "Sun Jan 14 09:51:59 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb # " and " # ack-sf,
}

@Article{Golub:1973:NCU,
  author =       "Gene H. Golub and George P. Styan",
  title =        "Numerical Computations for Univariate Linear Models",
  journal =      j-STAT-COMPUT-SIMUL,
  volume =       "2",
  number =       "??",
  pages =        "253--274",
  month =        "??",
  year =         "1973",
  MRclass =      "62J05 (65F05)",
  MRnumber =     "51 11840",
  MRreviewer =   "Valery Fedorov",
  bibdate =      "Sun Jan 14 09:50:51 1996",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
  keywords =     "stat, nla, regr, lsq, qrd",
}

@InProceedings{Golub:1973:SAN,
  author =       "G. H. Golub and George P. H. Styan",
  title =        "Some aspects of numerical computations for linear
                 models",
  crossref =     "Kennedy:1973:PCS",
  pages =        "189--192",
  year =         "1973",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-sf,
}

@Article{Golub:1973:SMM,
  author =       "Gene H. Golub",
  title =        "Some Modified Matrix Eigenvalue Problems",
  journal =      j-SIAM-REVIEW,
  volume =       "15",
  number =       "??",
  pages =        "318--344",
  month =        "??",
  year =         "1973",
  CODEN =        "SIREAD",
  ISSN =         "0036-1445",
  MRclass =      "65F15",
  MRnumber =     "48 7569",
  MRreviewer =   "J. F. Traub",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Cited in {\AA ke Bj\"orck's} bibliography on least
                 squares, which is available at
                 \verb=ftp://math.liu.se/pub/references=. Reprinted in
                 \cite{Chan:2007:MMC}.",
  error =        "conflicting pages with your cv: 318-335",
  keywords =     "nla, eig, updating",
}

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

@Article{Fischer:1974:FTM,
  author =       "D. Fischer and G. Golub and O. Hald and C. Leiva and
                 O. Widlund",
  title =        "On {Fourier-Toeplitz} Methods for Separable Elliptic
                 Problems",
  journal =      j-MATH-COMPUT,
  volume =       "28",
  number =       "126",
  pages =        "349--368",
  month =        apr,
  year =         "1974",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718",
  MRclass =      "65F05 (65N20)",
  MRnumber =     "54 \#4072",
  MRreviewer =   "R. H. Bartels",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "JSTOR database;
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290P (Differential equations); B0220 (Mathematical
                 analysis); C4170 (Differential equations)",
  corpsource =   "New York Univ., NY, USA",
  keywords =     "differential equations; elliptic; fast; fast Fourier
                 transforms; Fourier Toeplitz method; Fourier transform;
                 numerical methods; separable elliptic problems;
                 Toeplitz factorizations",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Gill:1974:MMM,
  author =       "P. E. Gill and G. H. Golub and W. Murray and M. A.
                 Saunders",
  title =        "Methods for Modifying Matrix Factorizations",
  journal =      j-MATH-COMPUT,
  volume =       "28",
  number =       "126",
  pages =        "505--535",
  month =        apr,
  year =         "1974",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718",
  MRclass =      "65F05",
  MRnumber =     "49 \#8299",
  MRreviewer =   "L. W. Ehrlich",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 JSTOR database; Theory/Matrix.bib",
  note =         "Reprinted in \cite{Chan:2007:MMC}.",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290H (Linear algebra); C4140 (Linear algebra)",
  corpsource =   "Nat. Phys. Lab., Teddington, UK",
  keywords =     "Cholesky factors; complete orthogonal factorisation;
                 matrix algebra; matrix factorizations; rank one
                 change",
  kwds =         "math, nla, qrd, lud, updating",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Golub:1974:BMM,
  author =       "G. H. Golub",
  title =        "Bounds for matrix moments",
  journal =      j-ROCKY-MOUNTAIN-J-MATH,
  volume =       "4",
  number =       "??",
  pages =        "207--211",
  month =        "??",
  year =         "1974",
  CODEN =        "RMJMAE",
  ISSN =         "0035-7596",
  MRclass =      "65F30",
  MRnumber =     "48 12803",
  MRreviewer =   "Walter Gautschi",
  bibdate =      "Sun Jan 14 09:54:42 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Proceedings of the International Conference on
                 Pad{\'e} Approximants, Continued Fractions and Related
                 Topics (Univ. Colorado, Boulder, Colo., 1972; dedicated
                 to the memory of H. S. Wall)",
  acknowledgement = ack-nhfb # " and " # ack-sf,
}

@Article{Golub:1974:CBS,
  author =       "G. H. Golub and J. M. Varah",
  title =        "On a Characterization of the Best $l_2$-Scaling of a
                 Matrix",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "11",
  number =       "3",
  pages =        "472--479",
  month =        jun,
  year =         "1974",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429",
  MRclass =      "65F35 (15A12)",
  MRnumber =     "55 \#9510",
  MRreviewer =   "H. Schwerdtfeger",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  keywords =     "nla, condition, scaling",
}

@Article{Golub:1974:CSD,
  author =       "G. H. Golub and E. Seneta",
  title =        "Computation of the stationary distribution of an
                 infinite stochastic matrix of special form",
  journal =      j-BULL-AUSTRAL-MATH-SOC,
  volume =       "10",
  number =       "??",
  pages =        "255--261",
  month =        "??",
  year =         "1974",
  CODEN =        "ALNBAB",
  ISSN =         "0004-9727",
  MRclass =      "60J10",
  MRnumber =     "51 \#9212",
  MRreviewer =   "Dean Isaacson",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-sf,
}

@InProceedings{Golub:1974:MCE,
  author =       "G. H. Golub",
  title =        "Methods for computing eigenvalues of sparse matrix
                 equations",
  crossref =     "Pereyra:1974:ADS",
  pages =        "127--148",
  year =         "1974",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-sf,
}

@Book{Miller:1974:TNA,
  editor =       "John J. H. Miller",
  title =        "Topics in Numerical Analysis {II}: Proceedings of the
                 Royal Irish Academy Conference on Numerical Analysis,
                 1974",
  publisher =    pub-AP,
  address =      pub-AP:adr,
  pages =        "xiv + 266",
  year =         "1974",
  ISBN =         "0-12-496952-6",
  ISBN-13 =      "978-0-12-496952-0",
  LCCN =         "QA297.R69 1974",
  bibdate =      "Sat Oct 22 18:09:20 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Concus:1975:GCG,
  author =       "Paul Concus and Gene H. Golub",
  title =        "A generalized conjugate gradient method for
                 non-symmetric systems of linear equations",
  crossref =     "Glowinski:1975:SIS",
  pages =        "56--65",
  year =         "1975",
  MRclass =      "65F10",
  MRnumber =     "57 7968",
  MRreviewer =   "David R. Kincaid",
  bibdate =      "Sun Jan 14 09:49:28 1996",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Parallel/Multi.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Reprinted in \cite{Chan:2007:MMC}.",
  acknowledgement = ack-nhfb,
}

@InCollection{Golub:1975:SMC,
  author =       "G. H. Golub",
  title =        "Sparse matrix computations: Eigenvalues and linear
                 equations",
  crossref =     "Anonymous:1975:SI",
  pages =        "117--140",
  year =         "1975",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-sf,
}

@Article{Golub:1975:WPS,
  author =       "G. H. Golub and L. Jennings and W. Yang",
  title =        "Waves in periodically structured media",
  journal =      j-COMP-PHYS,
  volume =       "17",
  number =       "??",
  pages =        "349--357",
  month =        "??",
  year =         "1975",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-sf,
}

@InProceedings{Cline:1976:CNM,
  author =       "A. K. Cline and G. H. Golub and G. W. Platzman",
  title =        "Calculation of Normal Modes of Oceans Using a
                 {L{\'a}nczos} Method",
  crossref =     "Bunch:1976:SSM",
  pages =        "409--426",
  year =         "1976",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  keywords =     "nla, eig, Lanczos algorithm",
}

@TechReport{Concus:1976:GCGa,
  author =       "P. Concus and G. H. Golub",
  title =        "A Generalized {Conjugate Gradient} Method for
                 Nonsymmetric Systems of Linear Equations",
  type =         "Technical Report",
  number =       "STAN-CS-76-535",
  institution =  inst-STANFORD-CS,
  address =      inst-STANFORD-CS:adr,
  month =        "??",
  year =         "1976",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Parallel/par.lin.alg.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
}

@InProceedings{Concus:1976:GCGb,
  author =       "Paul Concus and Gene H. Golub and Dianne P. O'Leary",
  title =        "A Generalized Conjugate Gradient Method for the
                 Numerical Solution of Elliptic Partial Differential
                 Equations",
  crossref =     "Bunch:1976:SSM",
  pages =        "309--332",
  year =         "1976",
  MRclass =      "65F10 (65P05)",
  MRnumber =     "58",
  MRreviewer =   "M. R. Hestenes",
  bibdate =      "Sun Jan 14 09:48:20 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Reprinted in \cite{Chan:2007:MMC}.",
  acknowledgement = ack-nhfb,
  keywords =     "nla, conjugate gradients, elliptic pde",
}

@TechReport{Concus:1976:NSN,
  author =       "Paul Concus and Gene H. Golub and Dianne P. O'Leary",
  title =        "Numerical solutions of nonlinear elliptic partial
                 differential equations by a generalized conjugate
                 gradient method",
  type =         "Technical Report",
  number =       "STAN-CS-76-585",
  institution =  inst-STANFORD-CS,
  address =      inst-STANFORD-CS:adr,
  pages =        "43",
  month =        "??",
  year =         "1976",
  bibdate =      "Mon Oct 24 10:35:29 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
  keywords =     "differential equations, elliptic --- numerical
                 solutions",
}

@InCollection{Golub:1976:DPI,
  author =       "G. H. Golub and V. Pereyra",
  title =        "Differentiation of Pseudo-Inverses, Separable
                 Nonlinear Least Squares Problems and Other Tales",
  crossref =     "Nashed:1976:GIA",
  pages =        "303--324",
  year =         "1976",
  MRclass =      "65F20 (15A09 65J05)",
  MRnumber =     "58 \#8200",
  MRreviewer =   "B. Levinger",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
}

@Article{Golub:1976:ICE,
  author =       "G. H. Golub and J. H. Wilkinson",
  title =        "Ill-Conditioned Eigensystems and the Computation of
                 the {Jordan} Canonical Form",
  journal =      j-SIAM-REVIEW,
  volume =       "18",
  number =       "4",
  pages =        "578--619",
  month =        "??",
  year =         "1976",
  CODEN =        "SIREAD",
  ISSN =         "0036-1445",
  MRclass =      "65F15 (15A21)",
  MRnumber =     "54 \#1570",
  MRreviewer =   "Robert Todd Gregory",
  bibdate =      "Fri Dec 20 17:05:12 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Reprinted in \cite{Chan:2007:MMC}.",
  keywords =     "nla, eig, Jordan form, condition, pert,
                 ill-conditioned problem",
}

@TechReport{Golub:1976:RDL,
  author =       "G. H. Golub and V. Klema and G. W. Stewart",
  title =        "Rank Degeneracy and Least Squares Problems",
  type =         "Technical Report",
  number =       "TR-456",
  institution =  inst-U-MARYLAND,
  address =      inst-U-MARYLAND:adr,
  month =        "??",
  year =         "1976",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Techreports/university-of-maryland.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Also published as Stanford University Computer Science
                 Department Technical Report STAN-CS-76-559.",
  abstract =     "This paper is concerned with least squares problems
                 when the least squares matrix \$A\$ is near a matrix
                 that is not of full rank. A definition of numerical
                 rank is given. It is shown that under certain
                 conditions when \$A\$ has numerical rank \$r\$ there is
                 a distinguished \$r\$ dimensional subspace of the
                 column space of \$A\$ that is insensitive to how it is
                 approximated by \$r\$ independent columns of \$A\$. The
                 consequences of this fact for the least squares problem
                 are examined. Algorithms are described for
                 approximating the stable part of the column space of
                 \$A\$.",
  keywords =     "nla, svd, qrd, condition estimation, rank
                 determination, pert, variable selection",
}

@InProceedings{Golub:1976:SVD,
  author =       "G. H. Golub and F. Luk",
  title =        "Singular value decomposition: applications and
                 computations",
  crossref =     "ARO:1976:PAN",
  pages =        "??--??",
  year =         "1976",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-sf,
}

@Article{Bjorck:1977:EMA,
  author =       "{\AA}ke Bj{\"o}rck and Gene H. Golub",
  title =        "Eigenproblems for matrices associated with periodic
                 boundary conditions",
  journal =      j-SIAM-REVIEW,
  volume =       "19",
  number =       "1",
  pages =        "5--16",
  month =        "??",
  year =         "1977",
  CODEN =        "SIREAD",
  ISSN =         "0036-1445",
  MRclass =      "65F15",
  MRnumber =     "55 1716",
  MRreviewer =   "B. Levinger",
  bibdate =      "Sun Jan 14 09:50:11 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb # " and " # ack-sf,
}

@TechReport{Boley:1977:IEPa,
  author =       "D. Boley and Gene H. Golub",
  title =        "Inverse eigenvalue problems for band matrices",
  type =         "Technical Report",
  number =       "STAN-CS-77-623",
  institution =  inst-STANFORD-CS,
  address =      inst-STANFORD-CS:adr,
  pages =        "9",
  month =        "??",
  year =         "1977",
  bibdate =      "Mon Oct 24 10:35:29 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
  keywords =     "eigenvalues; matrices; eigenvalues; matrices",
}

@InCollection{Boley:1977:IEPb,
  author =       "D. Boley and G. H. Golub",
  title =        "Inverse eigenvalue problems for band matrices",
  crossref =     "Watson:1978:NAP",
  pages =        "??--??",
  month =        jun,
  year =         "1977",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-sf,
}

@InCollection{Buzbee:1977:VCS,
  author =       "B. Buzbee and G. Golub and J. Howell",
  title =        "Vectorizations for the {CRAY}--1 of Some Methods for
                 Solving Elliptic Difference Equations",
  crossref =     "Kuck:1977:HSC",
  pages =        "255--271",
  year =         "1977",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/ovr.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
}

@TechReport{deBoor:1977:NSR,
  author =       "Carl de Boor and Gene H. Golub",
  title =        "The numerically stable reconstruction of a {Jacobi}
                 matrix from spectral data",
  type =         "Technical Report",
  number =       "STAN-CS-77-602",
  institution =  inst-STANFORD-CS,
  address =      inst-STANFORD-CS:adr,
  pages =        "18",
  month =        "??",
  year =         "1977",
  bibdate =      "Mon Oct 24 10:35:29 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
  keywords =     "matrices; jacobi varieties",
}

@InCollection{Golub:1977:BLM,
  author =       "G. H. Golub and R. Underwood",
  title =        "The Block {L{\'a}nczos} Method for Computing
                 Eigenvalues",
  crossref =     "Rice:1977:MSS",
  pages =        "364--377 (or 361--377??)",
  year =         "1977",
  MRclass =      "65F15",
  MRnumber =     "57 \#14376",
  MRreviewer =   "Colette Lebaud",
  bibdate =      "Fri Dec 20 17:48:35 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Reprinted in \cite{Chan:2007:MMC}.",
  acknowledgement = ack-sf,
  keywords =     "nla, block algorithm, Lanczos algorithm, eig",
}

@TechReport{Golub:1977:GCV,
  author =       "Gene H. Golub and Michael Heath and Grace Wahba",
  title =        "Generalized cross-validation as a method for choosing
                 a good ridge parameter",
  type =         "Technical Report",
  number =       "STAN-CS-77-622",
  institution =  inst-STANFORD-CS,
  address =      inst-STANFORD-CS:adr,
  pages =        "24",
  month =        "??",
  year =         "1977",
  bibdate =      "Mon Oct 24 10:35:29 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Also issued as Dept. of Statistics Technical Report
                 no. 491, University of Wisconsin, Madison, WI.",
  acknowledgement = ack-nhfb,
  keywords =     "regression analysis; graphic methods",
}

@InProceedings{Golub:1977:TTC,
  author =       "Gene H. Golub and Franklin T. Luk",
  title =        "Singular value decomposition: applications and
                 computations",
  crossref =     "Army:1977:TTC",
  pages =        "577--605",
  year =         "1977",
  MRclass =      "65F30",
  MRnumber =     "58 31784",
  bibdate =      "Sun Jan 14 09:45:27 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Golub:1977:TTS,
  author =       "Gene H. Golub and Franklin T. Luk",
  title =        "Singular value decomposition: applications and
                 computations",
  crossref =     "Army:1977:TTC",
  pages =        "577--605",
  year =         "1977",
  MRclass =      "65F30",
  MRnumber =     "58 \#31784",
  bibdate =      "Fri Dec 20 16:39:55 MST 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Boley:1978:IEP,
  author =       "D. Boley and G. H. Golub",
  title =        "Inverse eigenvalue problems for band matrices",
  crossref =     "Watson:1978:NAP",
  pages =        "23--31",
  year =         "1978",
  MRclass =      "65F15",
  MRnumber =     "57 \#14375",
  MRreviewer =   "H. Hochstadt",
  bibdate =      "Fri Dec 20 16:39:55 MST 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Boley:1978:MIEa,
  author =       "D. Boley and Gene H. Golub",
  title =        "The Matrix Inverse Eigenvalue Problem for Periodic
                 {Jacobi} Matrices",
  type =         "Technical Report",
  number =       "STAN-CS-78-684",
  institution =  inst-STANFORD-CS,
  address =      inst-STANFORD-CS:adr,
  pages =        "[5] + 14",
  month =        "??",
  year =         "1978",
  bibdate =      "Mon Oct 24 10:35:29 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
  keywords =     "matrices; eigenvalues",
}

@InProceedings{Boley:1978:MIEb,
  author =       "D. L. Boley and G. H. Golub",
  title =        "The Matrix Inverse Eigenvalue Problem for Periodic
                 {Jacobi} Matrices",
  crossref =     "Marek:1978:PFS",
  pages =        "63--76",
  year =         "1978",
  MRclass =      "15A21 (58F07 65F15 65F30)",
  MRnumber =     "81e:15005",
  MRreviewer =   "J. S. Joel",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-sf,
}

@Article{Concus:1978:NSN,
  author =       "P. Concus and G. H. Golub and D. P. O'Leary",
  title =        "Numerical Solution of Nonlinear Elliptic Partial
                 Differential Equations by a Generalized Conjugate
                 Gradient Method",
  journal =      j-COMPUTING,
  volume =       "19",
  number =       "4",
  pages =        "321--339",
  month =        "??",
  year =         "1978",
  CODEN =        "CMPTA2",
  ISSN =         "0010-485X",
  MRclass =      "65H10 (65N99)",
  MRnumber =     "58 \#31799",
  MRreviewer =   "L. Hageman",
  bibdate =      "Fri Dec 20 17:41:37 1996",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  keywords =     "nla, conjugate gradients",
}

@Article{Cottle:1978:SLS,
  author =       "Richard W. Cottle and Gene H. Golub and Richard S.
                 Sacher",
  title =        "On the solution of large structured linear
                 complementarity problems: the block partitioned case",
  journal =      j-APPL-MATH-OPTIM,
  volume =       "4",
  number =       "4",
  pages =        "347--363 (or 347--364??)",
  month =        "??",
  year =         "1978",
  CODEN =        "AMOMBN",
  ISSN =         "0095-4616",
  MRclass =      "90C30 (90C05)",
  MRnumber =     "80a:90120",
  bibdate =      "Mon Jan 15 09:15:16 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb # " and " # ack-sf,
}

@InProceedings{Dahlquist:1978:BEL,
  author =       "Germund Dahlquist and Gene H. Golub and Stephen G.
                 Nash",
  title =        "Bounds for the error in linear systems",
  crossref =     "Hettich:1979:SIP",
  pages =        "154--172",
  year =         "1978",
  MRclass =      "65F10 (90C05)",
  MRnumber =     "154--172",
  MRreviewer =   "Jacques Dubois",
  bibdate =      "Sun Jan 14 09:41:57 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb # " and " # ack-sf,
}

@Article{deBoor:1978:NSR,
  author =       "C. de Boor and G. H. Golub",
  title =        "The numerically stable reconstruction of a {Jacobi}
                 matrix from spectral data",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "21",
  pages =        "245--260",
  year =         "1978",
  MRclass =      "15A18 (15A57)",
  MRnumber =     "80i:15007",
  MRreviewer =   "O. Pokorn{\'a}",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Reprinted in \cite{Chan:2007:MMC}.",
  acknowledgement = ack-sf,
}

@TechReport{Golub:1978:SHM,
  author =       "G. H. Golub and S. Nash and C. Van Loan",
  title =        "A {Schur-Hessenberg} Method for the Problem
                 ${Ax+xB=C}$",
  type =         "Technical Report",
  number =       "TR 78-354",
  institution =  inst-CORNELL,
  address =      inst-CORNELL:adr,
  month =        oct,
  year =         "1978",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Techreports/cornell-university.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  URL =          "mailto::lmc@cs.cornell.edu",
}

@TechReport{Golub:1978:UPD,
  author =       "G. H. Golub and C. Van Loan",
  title =        "Unsymmetric Positive Definite Linear Systems",
  type =         "Technical Report",
  number =       "TR 78-352",
  institution =  inst-CORNELL,
  address =      inst-CORNELL:adr,
  month =        sep,
  year =         "1978",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Techreports/cornell-university.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  URL =          "mailto::lmc@cs.cornell.edu",
}

@Article{Bauer:1979:ESW,
  author =       "F. L. Bauer and G. H. Golub and A. S. Householder and
                 K. Samelson",
  title =        "{Eduard L. Stiefel}: 4/21/1909--11/27/1978",
  journal =      j-NUM-MATH,
  volume =       "32",
  number =       "4",
  pages =        "480--481",
  month =        dec,
  year =         "1979",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  MRclass =      "01A70",
  MRnumber =     "82e:01083",
  bibdate =      "Fri Dec 20 16:39:55 MST 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "With a German translation.",
  acknowledgement = ack-nhfb,
}

@InProceedings{Dahlquist:1979:SIP,
  author =       "Germund Dahlquist and Gene H. Golub and Stephen G.
                 Nash",
  title =        "Bounds for the error in linear systems",
  crossref =     "Hettich:1979:SIP",
  pages =        "154--172",
  year =         "1979",
  MRclass =      "65F10 (90C05)",
  MRnumber =     "81b:65028",
  MRreviewer =   "Jacques Dubois",
  bibdate =      "Fri Dec 20 16:39:55 MST 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Golub:1979:CMA,
  author =       "Gene H. Golub and Robert J. Plemmons",
  title =        "Sparse least squares problems",
  crossref =     "Glowinski:1979:CMA",
  pages =        "489--496",
  year =         "1979",
  MRclass =      "65F05",
  MRnumber =     "82a:65025",
  MRreviewer =   "D. S. Henderson",
  bibdate =      "Sun Jan 14 08:25:42 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
}

@Article{Golub:1979:DSE,
  author =       "G. H. Golub and W. Langlois",
  title =        "Direct solution of the equation for the {Stokes}
                 stream function",
  journal =      j-COMP-METH-APPL-MECH-ENG,
  volume =       "19",
  number =       "??",
  pages =        "391--399",
  month =        "??",
  year =         "1979",
  MRclass =      "76D05 (65P05)",
  MRnumber =     "82c:76029",
  MRreviewer =   "C. Taylor",
  bibdate =      "Fri Dec 20 17:07:23 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-sf,
}

@InProceedings{Golub:1979:EUV,
  author =       "Gene H. Golub and Randall J. LeVeque",
  title =        "Extensions and Uses of the Variable Projection
                 Algorithm for Solving Nonlinear Least Squares
                 Problems",
  crossref =     "ARO:1979:PAN",
  pages =        "1--12",
  year =         "1979",
  MRclass =      "65F20",
  MRnumber =     "81b:65036",
  bibdate =      "Sun Jan 14 09:40:39 1996",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
  keywords =     "nlop, nllsq,",
}

@Article{Golub:1979:GCV,
  author =       "Gene H. Golub and Michael T. Heath and Grace Wahba",
  title =        "Generalized Cross-Validation as a Method for Choosing
                 a Good Ridge Parameter",
  journal =      j-TECHNOMETRICS,
  volume =       "21",
  number =       "2",
  pages =        "215--223",
  month =        "??",
  year =         "1979",
  CODEN =        "TCMTA2",
  ISSN =         "0040-1706",
  MRclass =      "62J07",
  MRnumber =     "81e:62079",
  MRreviewer =   "Colin L. Mallows",
  bibdate =      "Sun Jan 14 09:39:58 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Cited in {\AA ke Bj\"orck's} bibliography on least
                 squares, which is available at
                 \verb=ftp://math.liu.se/pub/references=. Reprinted in
                 \cite{Chan:2007:MMC}.",
  acknowledgement = ack-nhfb,
  keywords =     "nla, stat, ridge regression, cross validation,
                 regularization",
}

@TechReport{Golub:1979:HSMa,
  author =       "Gene H. Golub and Stephen Nash and Charles F. Van
                 Loan",
  title =        "A {Hessenberg-Schur} method for the problem
                 ${AX+XB=C}$",
  type =         "Technical Report",
  number =       "STAN-CS-79-713",
  institution =  inst-STANFORD-CS,
  address =      inst-STANFORD-CS:adr,
  pages =        "50",
  month =        "??",
  year =         "1979",
  bibdate =      "Mon Oct 24 10:35:29 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
  keywords =     "matrix mechanics; numerical analysis",
}

@Article{Golub:1979:HSMb,
  author =       "G. H. Golub and S. Nash and C. Van Loan",
  title =        "A {Hessenberg-Schur} Method for the Matrix Problem
                 {$AX + XB = C$}",
  journal =      j-IEEE-TRANS-AUTO-CTL,
  volume =       "AC-24",
  number =       "6",
  pages =        "909--913",
  month =        "??",
  year =         "1979",
  MRclass =      "65F30 (93C05)",
  MRnumber =     "81a:65046",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-sf,
  keywords =     "nla, Sylvester equation, Hessenberg matrix, Schur
                 form, Lyapunov equation, matrix equation",
}

@InProceedings{Golub:1979:LSL,
  author =       "G. H. Golub and F. Luk and M. Pagano",
  title =        "A large sparse least squares problem in
                 photogrammetry",
  crossref =     "Gentleman:1979:PCS",
  pages =        "??--??",
  year =         "1979",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-sf,
}

@InProceedings{Golub:1979:SLS,
  author =       "G. H. Golub and R. Plemmons",
  title =        "Sparse least squares problems",
  crossref =     "ISCMASE:1979:PIF",
  pages =        "??--??",
  year =         "1979",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-sf,
}

@InProceedings{Golub:1979:TLS,
  author =       "Gene H. Golub and Charles F. Van Loan",
  title =        "Total least squares",
  crossref =     "Gasser:1979:STC",
  pages =        "69--76",
  year =         "1979",
  MRclass =      "65D10 (65U05)",
  MRnumber =     "82a:65013",
  MRreviewer =   "Valery Fedorov",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Cited in {\AA ke Bj\"orck's} bibliography on least
                 squares, which is available by anonymous ftp from {\tt
                 math.liu.se} in {\tt pub/references}.",
  acknowledgement = ack-nhfb,
  keywords =     "nla, svd, total least squares",
}

@Article{Golub:1979:UPD,
  author =       "G. H. Golub and C. F. Van Loan",
  title =        "Unsymmetric Positive Definite Linear Systems",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "28",
  pages =        "85--98 (or 85--97??)",
  year =         "1979",
  MRclass =      "15A23 (65F05)",
  MRnumber =     "80k:15016",
  MRreviewer =   "Colette Lebaud",
  bibdate =      "Sun Jan 14 09:43:05 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
  keywords =     "nla, linear system, positive definite matrix,
                 nonsymmetric matrix",
}

@TechReport{Golub:1980:ATLa,
  author =       "G. H. Golub and C. F. Van Loan",
  title =        "An Analysis of the Total Least Squares Problem",
  type =         "Technical Report",
  number =       "80-411",
  institution =  inst-CORNELL,
  address =      inst-CORNELL:adr,
  month =        feb,
  year =         "1980",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Techreports/cornell-university.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  URL =          "mailto::lmc@cs.cornell.edu",
  acknowledgement = ack-sf,
}

@Article{Golub:1980:ATLb,
  author =       "Gene H. Golub and Charles F. Van Loan",
  title =        "An Analysis of the Total Least Squares Problem",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "17",
  number =       "6",
  pages =        "883--893",
  month =        dec,
  year =         "1980",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429",
  MRclass =      "65D10",
  MRnumber =     "83g:65020",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 JSTOR database",
  note =         "Reprinted in \cite{Chan:2007:MMC}.",
  acknowledgement = ack-nhfb # " and " # ack-sf,
  keywords =     "statistics, least squares, math, nla, lsq, svd, deriv,
                 total least squares",
}

@Article{Golub:1980:LSG,
  author =       "Gene H. Golub and Robert J. Plemmons",
  title =        "Large-Scale Geodetic Least-Squares Adjustment by
                 Dissection and Orthogonal Decomposition",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "34",
  pages =        "3--27 (or 3--28??)",
  year =         "1980",
  MRclass =      "86A30 (15A23 65F10)",
  MRnumber =     "81k:86010",
  MRreviewer =   "K. R. Koch",
  bibdate =      "Sun Jan 14 09:38:35 1996",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
  keywords =     "nla, lsq, sparse, geodesy, qrd",
}

@Book{Golub:1980:NA,
  author =       "Gene H. Golub and Joseph Oliger",
  title =        "Numerical analysis",
  volume =       "22",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "viii + 135",
  year =         "1980",
  ISBN =         "0-8218-0122-8",
  ISBN-13 =      "978-0-8218-0122-2",
  LCCN =         "QA1 .S93 v.22",
  MRclass =      "65-06",
  MRnumber =     "80c:65007",
  bibdate =      "Sun Jan 14 09:43:24 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  series =       "Proceedings of symposia in applied mathematics",
  acknowledgement = ack-nhfb,
  annote =       "Reprinted with corrections, 1980. Lecture notes
                 prepared for the American Mathematical Society Short
                 Course on Numerical Analysis, held in Atlanta, Georgia,
                 January 3--4, 1978.",
  keywords =     "Numerical analysis.",
}

@InProceedings{Golub:1980:SLS,
  author =       "Gene H. Golub and Robert J. Plemmons",
  title =        "Sparse least squares problems",
  crossref =     "Glowinski:1980:CMA",
  pages =        "489--496",
  year =         "1980",
  MRclass =      "65F05",
  MRnumber =     "82a:65025",
  MRreviewer =   "D. S. Henderson",
  bibdate =      "Fri Dec 20 16:39:55 MST 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
}

@Article{Ward:1980:NLA,
  author =       "Robert C. Ward and Gene H. Golub",
  title =        "Numerical linear algebra",
  journal =      j-SIGNUM,
  volume =       "15",
  number =       "3",
  pages =        "9--26",
  month =        sep,
  year =         "1980",
  CODEN =        "SNEWD6",
  ISSN =         "0163-5778",
  bibdate =      "Tue Apr 12 07:50:09 MDT 2005",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 http://portal.acm.org/",
  acknowledgement = ack-nhfb,
}

@Article{Bjorck:1981:EMA,
  author =       "{\AA}ke Bj{\"o}rck and Gene H. Golub",
  title =        "Eigenproblems for matrices associated with periodic
                 boundary conditions. ({Chinese})",
  journal =      "Yingyong Shuxue yu Jisuan Shuxue",
  volume =       "1",
  number =       "??",
  pages =        "10--18",
  month =        "??",
  year =         "1981",
  MRclass =      "65F15",
  MRnumber =     "83d:65110",
  bibdate =      "Sun Jan 14 09:34:26 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Translated from the English by Cheng Ming Huang",
  acknowledgement = ack-nhfb,
}

@Article{Golub:1981:BDV,
  author =       "G. H. Golub and W. P. Tang",
  title =        "The Block Decomposition of a {Vandermonde} Matrix and
                 Its Applications",
  journal =      j-BIT,
  volume =       "21",
  number =       "??",
  pages =        "505--517",
  year =         "1981",
  CODEN =        "BITTEL",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  keywords =     "nla, block algorithm, Vandermonde matrix",
}

@Article{Golub:1981:BLM,
  author =       "Gene H. Golub and Franklin T. Luk and Michael L.
                 Overton",
  title =        "A Block {L{\'a}nczos} Method for Computing the
                 Singular Values and Corresponding Singular Vectors of a
                 Matrix",
  journal =      j-TOMS,
  volume =       "7",
  number =       "2",
  pages =        "149--169",
  month =        jun,
  year =         "1981",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500",
  MRclass =      "65F50 (65F15)",
  MRnumber =     "84h:65045",
  bibdate =      "Sun Jan 14 09:28:55 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/toms.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Cited in {\AA ke Bj\"orck's} bibliography on least
                 squares, which is available by anonymous ftp from {\tt
                 math.liu.se} in {\tt pub/references}.",
  acknowledgement = ack-nhfb,
  keywords =     "nla, svd, Lanczos algorithm, block Lanczos method,
                 singular values, singular vectors, large sparse matrix,
                 singular-value decomposition, upper-triangular band
                 matrix, nla, svd, Lanczos algorithm",
}

@InProceedings{Golub:1981:CTS,
  author =       "Gene H. Golub and Michael L. Overton",
  title =        "Convergence of a two-stage {Richardson} iterative
                 procedure for solving systems of linear equations",
  crossref =     "Watson:1982:NAP",
  pages =        "125--139",
  year =         "1981",
  MRclass =      "65F10",
  MRnumber =     "83f:65045",
  bibdate =      "Sun Jan 14 09:32:52 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb # " and " # ack-sf,
}

@Article{Tang:1981:BDV,
  author =       "W. P. Tang and G. H. Golub",
  title =        "The Block Decomposition of a {Vandermonde} Matrix and
                 Its Applications",
  journal =      j-BIT,
  volume =       "21",
  number =       "4",
  pages =        "505--517",
  month =        dec,
  year =         "1981",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01932847",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  MRclass =      "65F30 (15A06)",
  MRnumber =     "83e:65077",
  MRreviewer =   "V. Syamala Devi",
  bibdate =      "Wed Jan 4 18:52:17 MST 2006",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib;
                 http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=21&issue=4",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=21&issue=4&spage=505",
  acknowledgement = ack-nhfb,
  keywords =     "nla, block algorithm, Vandermonde matrix",
}

@TechReport{Chan:1982:ACS,
  author =       "T. F. Chan and G. H. Golub and R. J. Le Veque",
  title =        "Algorithms for Computing the Sample Variance: Analysis
                 and Recommendations",
  type =         "??",
  number =       "222",
  institution =  "Department of Computer Science, Yale University",
  address =      "??",
  month =        "??",
  year =         "1982",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  keywords =     "stat, na, variance, standard deviation",
}

@InProceedings{Chan:1982:UFP,
  author =       "T. F. Chan and G. H. Golub and R. J. LeVeque",
  title =        "Updating formulae and a pairwise algorithm for
                 computing sample variances",
  crossref =     "Caussinus:1982:CSH",
  pages =        "30--41",
  year =         "1982",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  descriptors =  "Simulation; statistics; numeric calculation;",
}

@InCollection{Golub:1982:CTS,
  author =       "Gene H. Golub and Michael L. Overton",
  title =        "Convergence of a two-stage {Richardson} iterative
                 procedure for solving systems of linear equations",
  crossref =     "Watson:1982:NAP",
  pages =        "125--139",
  year =         "1982",
  MRclass =      "65F10",
  MRnumber =     "83f:65045",
  bibdate =      "Fri Dec 20 16:39:55 MST 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
}

@Article{Golub:1982:NAV,
  author =       "Gene H. Golub and Stephen G. Nash",
  title =        "Nonorthogonal Analysis of Variance using a Generalized
                 Conjugate-Gradient Algorithm",
  journal =      j-J-AM-STAT-ASSOC,
  volume =       "77",
  number =       "377",
  pages =        "109--116",
  month =        "??",
  year =         "1982",
  MRclass =      "62J10 (65U05)",
  MRnumber =     "83i:62135",
  MRreviewer =   "Walter Schlee",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Cited in {\AA ke Bj\"orck's} bibliography on least
                 squares, which is available by anonymous ftp from {\tt
                 math.liu.se} in {\tt pub/references}.",
  error =        "in Gene's cv is Statistical Computing, but we found
                 this reference: The American Statistician",
  keywords =     "stat, anova, conjugate gradients",
}

@Article{Paige:1982:LAS,
  author =       "C. C. Paige and M. A. Saunders",
  title =        "{LSQR}: an algorithm for sparse linear equations and
                 sparse least squares",
  journal =      j-TOMS,
  volume =       "8",
  number =       "1",
  pages =        "43--71",
  month =        mar,
  year =         "1982",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500",
  bibdate =      "Sat Oct 22 16:35:44 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
  keywords =     "algorithms; measurement",
  review =       "ACM CR 39252",
  subject =      "G.1.3 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Numerical Linear Algebra, Sparse and very large systems
                 \\ G.1.6 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Optimization, Least squares methods G Mathematics of
                 Computing, MATHEMATICAL SOFTWARE",
}

@Article{Chan:1983:ACS,
  author =       "Tony F. Chan and Gene H. Golub and Randall J.
                 LeVeque",
  title =        "Algorithms for computing the sample variance: Analysis
                 and recommendations",
  journal =      j-AMER-STAT,
  volume =       "37",
  number =       "3",
  pages =        "242--247",
  month =        "????",
  year =         "1983",
  CODEN =        "ASTAAJ",
  ISSN =         "0003-1305",
  MRclass =      "62-04",
  MRnumber =     "84k:62003",
  bibdate =      "Mon May 5 09:19:29 MDT 1997",
  bibsource =    "Distributed/QLD.bib; Distributed/QLD/1983.bib;
                 ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD.bib;
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
  country =      "USA",
  date =         "13/05/93",
  descriptors =  "Simulation; statistics; numeric calculation;",
  enum =         "7109",
  location =     "SEL: Wi",
  references =   "0",
  revision =     "16/01/94",
}

@Article{Golub:1983:CGQ,
  author =       "G. H. Golub and J. Kautsk{\'y}",
  title =        "Calculation of {Gauss} quadratures with multiple free
                 and fixed knots",
  journal =      j-NUM-MATH,
  volume =       "41",
  number =       "2",
  pages =        "147--163",
  month =        jun,
  year =         "1983",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  MRclass =      "65D32 (65F15)",
  MRnumber =     "84i:65030",
  bibdate =      "Sat Oct 22 16:35:44 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290M (Numerical integration and differentiation);
                 C4160 (Numerical integration and differentiation)",
  corpsource =   "Dept. of Computer Sci., Stanford Univ., Stanford, CA,
                 USA",
  keywords =     "algorithms; fixed knots; Gauss knots; Gauss
                 quadratures; integration; Jacobi matrix; quadratic
                 convergence; theory",
  subject =      "G.1.4 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Quadrature and Numerical Differentiation, Gaussian
                 quadrature",
  treatment =    "T Theoretical or Mathematical",
}

@Book{Golub:1983:MC,
  author =       "Gene H. Golub and Charles F. Van Loan",
  title =        "Matrix Computations",
  publisher =    pub-JH # " and " # pub-NORTH-OXFORD,
  address =      pub-JH:adr # " and " # pub-NORTH-OXFORD:adr,
  pages =        "xvi + 476",
  year =         "1983",
  ISBN =         "0-8018-3010-9 (hardcover), 0-8018-3011-7 (paperback),
                 0-946536-00-7, 0-946536-05-8 (paperback)",
  ISBN-13 =      "978-0-8018-3010-5 (hardcover), 978-0-8018-3011-2
                 (paperback), 978-0-946536-00-9, 978-0-946536-05-4
                 (paperback)",
  LCCN =         "QA188 .G65 1983",
  MRclass =      "65Fxx (65-02)",
  MRnumber =     "85h:65063",
  MRreviewer =   "C. Ilioi",
  bibdate =      "Sun Jan 14 09:27:53 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  series =       "Johns Hopkins Series in the Mathematical Sciences",
  acknowledgement = ack-nhfb,
  keywords =     "matrices --- data processing; algebra --- matrices ---
                 computation by digital computer systems",
}

@Book{Golub:1983:RNG,
  author =       "Gene H. Golub and G{\'{e}}rard A. Meurant",
  title =        "{R}{\'e}solution Num{\'e}rique des Grands Syst{\`e}mes
                 Lin{\'e}aires (English: Numerical solution of large
                 linear systems)",
  volume =       "49",
  publisher =    pub-EYROLLES,
  address =      pub-EYROLLES:adr,
  pages =        "x + 329",
  year =         "1983",
  ISBN =         "??",
  ISBN-13 =      "??",
  LCCN =         "??",
  MRclass =      "65-01 (65F10 65F20 65N20)",
  MRnumber =     "86b:65002",
  MRreviewer =   "G. Maess",
  bibdate =      "Sun Jan 14 09:26:25 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  series =       "Collection de la Direction des Etudes et Recherches de
                 l'Electricit\'e de France",
  acknowledgement = ack-nhfb,
  keywords =     "book, nla, linear system, sparse",
}

@InProceedings{Golub:1983:UPI,
  author =       "G. Golub and D. Mayers",
  title =        "The Use of Preconditioning Over Irregular Regions",
  crossref =     "Blackburn:1983:SIC",
  pages =        "??--??",
  year =         "1983",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/ovr.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
}

@Article{Kautsky:1983:CJM,
  author =       "J. Kautsk{\'y} and G. H. Golub",
  title =        "On the Calculation of {Jacobi} Matrices",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "52/53",
  pages =        "439--456",
  year =         "1983",
  MRclass =      "65F30 (15A99 33A65)",
  MRnumber =     "84g:65050",
  MRreviewer =   "Walter Gautschi",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  keywords =     "nla, Jacobi matrix",
}

@Article{Boley:1984:LAA,
  author =       "D. L. Boley and G. H. Golub",
  title =        "The {L{\'a}nczos-Arnoldi} Algorithm and
                 controllability",
  journal =      j-SYST-CONTROL-LETT,
  volume =       "4",
  number =       "6",
  pages =        "317--324",
  month =        sep,
  year =         "1984",
  CODEN =        "SCLEDC",
  ISSN =         "0167-6911",
  MRclass =      "93B40 (93B05)",
  MRnumber =     "86a:93044",
  bibdate =      "Fri Dec 20 17:12:57 1996",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
  keywords =     "nla, controllability, Lanczos algorithm, Arnoldi's
                 method, algorithms",
  subject =      "G.1 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Miscellaneous",
}

@Article{Boley:1984:MMR,
  author =       "Daniel Boley and Gene H. Golub",
  title =        "A modified method for reconstructing periodic {Jacobi}
                 matrices",
  journal =      j-MATH-COMPUT,
  volume =       "42",
  number =       "165",
  pages =        "143--150",
  month =        jan,
  year =         "1984",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718",
  MRclass =      "65F15 (15A18)",
  MRnumber =     "85h:65078",
  MRreviewer =   "Alan L. Andrew",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0210 (Algebra); C1110 (Algebra)",
  corpsource =   "Computer Sci. Dept., Univ. of Minnesota, Minneapolis,
                 MN, USA",
  keywords =     "algorithm; initial data items; matrix algebra;
                 numerically stable; periodic Jacobi matrices; spectral
                 data",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Concus:1984:GCG,
  author =       "Paul Concus and Gene H. Golub and Dianne P. O'Leary",
  title =        "A generalized conjugate gradient method for the
                 numerical solution of elliptic partial differential
                 equations",
  journal =      j-MAA-STUD-MATH,
  volume =       "24",
  number =       "??",
  pages =        "178--198",
  month =        "??",
  year =         "1984",
  CODEN =        "MSTMBI",
  ISSN =         "0081-8208",
  MRclass =      "65N20 (65F10 65F15)",
  MRnumber =     "925 214",
  bibdate =      "Sun Jan 14 08:25:42 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Reprinted in \cite{Chan:2007:MMC}.",
}

@Article{Gallant:1984:ICR,
  author =       "R. Gallant and G. H. Golub",
  title =        "Imposing curvature restrictions on flexible functional
                 forms",
  journal =      j-J-ECONOMETRICS,
  volume =       "26",
  number =       "??",
  pages =        "295--321",
  month =        "??",
  year =         "1984",
  CODEN =        "JECMB6",
  ISSN =         "0304-4076",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-sf,
}

@Book{Golub:1984:SNA,
  editor =       "Gene H. Golub",
  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 =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  series =       "Studies in mathematics",
  acknowledgement = ack-nhfb,
  keywords =     "numerical analysis",
}

@InCollection{Golub:1984:UPI,
  author =       "Gene H. Golub and David Mayers",
  title =        "The use of preconditioning over irregular regions",
  crossref =     "Glowinski:1983:CMA",
  pages =        "3--14",
  year =         "1984",
  MRclass =      "65F10 (65F35)",
  MRnumber =     "87h:65059",
  bibdate =      "Sun Jan 14 09:23:24 1996",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Parallel/Multi.grid.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
}

@Article{Concus:1985:BPC,
  author =       "P. Concus and G. H. Golub and G. A. Meurant",
  title =        "Block Preconditioning for the Conjugate Gradient
                 Method",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "6",
  number =       "??",
  pages =        "220--252",
  month =        "??",
  year =         "1985",
  CODEN =        "SIJCD4",
  ISSN =         "0196-5204",
  MRclass =      "65F10 (65N20)",
  MRnumber =     "87c:65035a",
  MRreviewer =   "Ian Gladwell",
  bibdate =      "Thu Apr 09 15:41:33 1998",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "See corrigendum \cite{Concus:1985:CBP}.",
  keywords =     "nla, block algorithm, preconditioning, conjugate
                 gradients",
}

@Article{Concus:1985:CBP,
  author =       "P. Concus and G. H. Golub and G. Meurant",
  title =        "Corrigendum: {``Block preconditioning for the
                 conjugate gradient method''}",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "6",
  number =       "3",
  pages =        "791--791",
  month =        "????",
  year =         "1985",
  CODEN =        "SIJCD4",
  ISSN =         "0196-5204",
  MRclass =      "65F10 (65N20)",
  MRnumber =     "87c:65035b",
  MRreviewer =   "Ian Gladwell",
  bibdate =      "Thu Apr 09 15:41:30 1998",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "See \cite{Concus:1985:BPC}.",
  acknowledgement = ack-nhfb,
}

@Article{Golub:1986:CBS,
  author =       "G. H. Golub and P. Manneback and Ph. L. Toint",
  title =        "A Comparison Between some Direct and Iterative Methods
                 for Large Scale Geodetic Least Squares Problems",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "7",
  number =       "3",
  pages =        "799--816",
  month =        jul,
  year =         "1986",
  CODEN =        "SIJCD4",
  ISSN =         "0196-5204",
  MRclass =      "65F50 (65U05)",
  MRnumber =     "87g:65063",
  bibdate =      "Sat Oct 22 16:35:44 MDT 1994",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Theory/Matrix.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  note =         "Cited in {\AA ke Bj\"orck's} bibliography on least
                 squares, which is available by anonymous ftp from {\tt
                 math.liu.se} in {\tt pub/references}.",
  acknowledgement = ack-nhfb,
  keywords =     "theory; algorithms; verification; nla; sparse; lsq;
                 geodesy; conjugate gradients; nested dissection; iter",
  subject =      "G.1.6 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Optimization, Least squares methods \\ J.2 Computer
                 Applications, PHYSICAL SCIENCES AND ENGINEERING,
                 Physics",
}

@Article{Golub:1986:CTS,
  author =       "Gene H. Golub and R. Kannan",
  title =        "Convergence of a two-stage {Richardson} process for
                 nonlinear equations",
  journal =      j-BIT,
  volume =       "26",
  number =       "2",
  pages =        "209--216",
  month =        jun,
  year =         "1986",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01933747",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  MRclass =      "65H10 (47H17 65F10)",
  MRnumber =     "87f:65064",
  MRreviewer =   "V. Pereyra",
  bibdate =      "Wed Jan 4 18:52:19 MST 2006",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=26&issue=2",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=26&issue=2&spage=209",
  acknowledgement = ack-nhfb # " and " # ack-sf,
}

@TechReport{Golub:1986:PBS,
  author =       "Gene H. Golub and Robert J. Plemmons and Ahmed Sameh",
  title =        "Parallel Block Schemes for Large Scale Least Squares
                 Computations",
  type =         "Technical Report",
  number =       "574",
  institution =  inst-CSRD,
  address =      inst-CSRD:adr,
  pages =        "20",
  month =        apr,
  year =         "1986",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/ovr.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  keywords =     "matrices; parallel processing (electronic computers)",
}

@Article{Golub:1986:UFG,
  author =       "Gene H. Golub and Carl D. {Meyer, Jr.}",
  title =        "Using the ${QR}$ Factorization and Group Inversion to
                 Compute, Differentiate, and estimate the Sensitivity of
                 Stationary Probabilities for {Markov} Chains",
  journal =      j-SIAM-J-ALG-DISC-METH,
  volume =       "7",
  number =       "2",
  pages =        "273--281",
  month =        apr,
  year =         "1986",
  CODEN =        "SJAMDU",
  ISSN =         "0196-5212",
  MRclass =      "60J10 (65F05)",
  MRnumber =     "87i:60073",
  MRreviewer =   "M. F. Neuts",
  bibdate =      "Sun Jan 14 09:22:16 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
  keywords =     "theory; verification; nla; qrd; ginv; Markov chain;
                 eig",
  subject =      "F.2.1 Theory of Computation, ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY, Numerical Algorithms and
                 Problems, Computations on matrices \\ G.2.1 Mathematics
                 of Computing, DISCRETE MATHEMATICS, Combinatorics",
}

@TechReport{Arbenz:1987:SDH,
  author =       "P. Arbenz and G. H. Golub",
  title =        "On the Spectral Decomposition of {Hermitian} Matrices
                 Subject to Indefinite Low Rank Perturbations with
                 Applications",
  type =         "??",
  number =       "NA 87-07",
  institution =  "Computer Science, Stanford University",
  address =      "Stanford, CA",
  month =        "??",
  year =         "1987",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
}

@Article{Boley:1987:SMI,
  author =       "Daniel Boley and Gene H. Golub",
  title =        "A survey of matrix inverse eigenvalue problems",
  journal =      j-INVERSE-PROBLEMS,
  volume =       "3",
  number =       "4",
  pages =        "595--622",
  month =        "??",
  year =         "1987",
  CODEN =        "INPEEY",
  ISSN =         "0266-5611",
  MRclass =      "65F15",
  MRnumber =     "89m:65036",
  bibdate =      "Sat Apr 16 17:44:41 2005",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb # " and " # ack-sf,
}

@InProceedings{Ferziger:1987:BSA,
  author =       "J. H. Ferziger and G. H. Golub and M. C. Thompson",
  title =        "Block {SOR} applied to the cyclically-reduced
                 equations as an efficient solution technique for
                 convection-diffusion equations",
  crossref =     "Noye:1987:CTA",
  pages =        "??--??",
  year =         "1987",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-sf,
}

@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",
  MRclass =      "01A70",
  MRnumber =     "88e:01060",
  bibdate =      "Mon Jan 15 17:54:33 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
}

@Article{Golub:1987:GEY,
  author =       "G. H. Golub and Alan Hoffman and G. W. Stewart",
  title =        "A generalization of the {Eckart-Young-Mirsky} matrix
                 approximation theorem",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "88/89",
  pages =        "317--327",
  year =         "1987",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795",
  MRclass =      "41A45 (15A60 62J05 65F99)",
  MRnumber =     "88f:41039",
  MRreviewer =   "R. A. Lorentz",
  bibdate =      "Fri Dec 20 16:39:55 MST 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
}

@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.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 ftp://ftp.ira.uka.de/pub/bibliography/Math/acc-stab-num-alg.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''.",
  keywords =     "obituary",
}

@InProceedings{Golub:1987:LSL,
  author =       "G. H. Golub",
  title =        "Large scale least squares problems",
  crossref =     "Heiberger:1987:CSS",
  pages =        "3",
  month =        "????",
  year =         "1987",
  bibdate =      "Mon Sep 9 12:13:04 MDT 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  abstract =     "Summary form only given as follows. With the advent of
                 satellites, it is possible to collect large sets of
                 data which are frequently analysed through least
                 squares methods. These problems can have over a million
                 observations and several hundred thousand unknowns.
                 Fortunately, the data is highly structured so that one
                 can combine direct and iterative methods for solving
                 the associated least squares problem. Furthermore, it
                 is possible to decompose the problem in such a way that
                 the computation can be performed in parallel. The
                 author discusses this computation and points out its
                 connection to other large scale least squares
                 problems.",
  acknowledgement = ack-nhfb,
  affiliation =  "Stanford Univ., CA, USA",
  classification = "C7310 (Mathematics); C4130 (Interpolation and
                 function approximation)",
  keywords =     "Satellites; Least squares methods; Observations;
                 Unknowns; Highly structured; Iterative methods;
                 Associated least squares problem; Parallel; Large scale
                 least squares problems",
  thesaurus =    "Least squares approximations; Mathematics computing",
}

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

@Article{Arbenz:1988:RRM,
  author =       "Peter Arbenz and Walter Gander and Gene H. Golub",
  title =        "Restricted Rank Modification of the Symmetric
                 Eigenvalue Problem: Theoretical Considerations",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "104",
  pages =        "75--95",
  year =         "1988",
  MRclass =      "65F15 (15A18)",
  MRnumber =     "89h:65052",
  MRreviewer =   "V. S. Zaja{\v{c}}kovski",
  bibdate =      "Sun Jan 14 09:18:09 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  keywords =     "nla, eig, symmetric matrix, updating",
}

@Article{Arbenz:1988:SDH,
  author =       "Peter Arbenz and Gene H. Golub",
  title =        "On the Spectral Decomposition of {Hermitian} Matrices
                 Modified by Low Rank Perturbations with Applications",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "9",
  number =       "1",
  pages =        "40--58",
  month =        jan,
  year =         "1988",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798",
  MRclass =      "15A57 (15A18 65F15)",
  MRnumber =     "89c:15028",
  MRreviewer =   "Moody T. Chu",
  bibdate =      "Sun Jan 14 09:20:14 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
  keywords =     "algorithms; theory; nla; eig; updating; symmetric
                 matrix; indefinite matrix",
  subject =      "F.2.1 Theory of Computation, ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY, Numerical Algorithms and
                 Problems, Computations on matrices \\ I.1.1 Computing
                 Methodologies, ALGEBRAIC MANIPULATION, Expressions and
                 Their Representation, Simplification of expressions \\
                 G.1.0 Mathematics of Computing, NUMERICAL ANALYSIS,
                 General, Stability (and instability) \\ G.1.3
                 Mathematics of Computing, NUMERICAL ANALYSIS, Numerical
                 Linear Algebra, Error analysis",
}

@InProceedings{Gander:1988:CEP,
  author =       "Walter Gander and Gene H. Golub and Urs {von Matt}",
  title =        "A constrained eigenvalue problem",
  crossref =     "Golub:1991:NLA",
  pages =        "677--686",
  year =         "1988",
  MRclass =      "65F15",
  MRnumber =     "92k:65067",
  bibdate =      "Sun Jan 14 08:57:55 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  abstract =     "Variants of this problem occur in many applications.
                 The authors show how to eliminate the linear
                 constraint. Three different methods are presented for
                 the solution of the resulting Lagrange equations.",
  acknowledgement = ack-nhfb,
  affiliation =  "Inst. fur Inf., ETH, Zurich, Switzerland",
  classification = "B0210 (Algebra); C1110 (Algebra)",
  keywords =     "Constrained eigenvalue problem; Linear constraint;
                 Lagrange equations",
  thesaurus =    "Eigenvalues and eigenfunctions; Matrix algebra",
}

@Article{Golub:1988:CIC,
  author =       "Gene H. Golub and Michael L. Overton",
  title =        "The Convergence of Inexact {Chebyshev} and
                 {Richardson} Iterative Methods for Solving Linear
                 Systems",
  journal =      j-NUM-MATH,
  volume =       "53",
  number =       "5",
  pages =        "571--593",
  month =        aug,
  year =         "1988",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  MRclass =      "65F10",
  MRnumber =     "90b:65054",
  bibdate =      "Sat Oct 22 16:35:44 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
  corpsource =   "Dept. of Comput. Sci., Stanford Univ., CA, USA",
  keywords =     "Chebyshev approximation; convergence; convergence of
                 numerical methods; error analysis; error bound;
                 experimentation; inexactness; iter; iterative methods;
                 linear algebra; linear system; linear systems;
                 measurement; nla; nonsymmetric inexact Chebyshev
                 iteration; numerical experiments; performance;
                 preconditioned iteration; Richardson iterative methods;
                 skew-symmetric iteration; spectral radius; theory;
                 verification",
  subject =      "G.1.3 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Numerical Linear Algebra, Linear systems (direct and
                 iterative methods)",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Golub:1988:GEY,
  author =       "G. H. Golub and A. Hoffman and G. W. Stewart",
  title =        "A Generalization of the {Eckart-Young-Mirsky}
                 Approximation Theorem",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "88/89",
  pages =        "317--328",
  year =         "1988",
  bibsource =    "ftp://ftp.math.utah.edu/pub/tex/bib/gvl.bib,
                 ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
}

@Article{Golub:1988:OPH,
  author =       "Gene H. Golub and Richard S. Varga",
  title =        "Obituary to {Peter Henrici (13. September 1923--13.
                 March 1987)}",
  journal =      j-NUM-MATH,
  volume =       "52",
  number =       "5",
  pages =        "481--482",
  month =        may,
  year =         "1988",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  MRclass =      "01A70",
  MRnumber =     "89i:01077",
  bibdate =      "Sun Jan 14 09:17:43 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Golub:1988:PBS,
  author =       "Gene H. Golub and Robert J. Plemmons and Ahmed Sameh",
  title =        "Parallel Block Schemes for Large-Scale Least-Squares
                 Computations",
  crossref =     "Wilhelmson:1988:HSC",
  pages =        "171--179",
  year =         "1988",
  bibdate =      "Sat Oct 22 16:35:44 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  price =        "US\$29.95",
  acknowledgement = ack-nhfb,
  keywords =     "design; theory; algorithms",
  subject =      "J.2 Computer Applications, PHYSICAL SCIENCES AND
                 ENGINEERING, Engineering \\ F.2.1 Theory of
                 Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY, Numerical Algorithms and Problems,
                 Computations on matrices \\ G.1.0 Mathematics of
                 Computing, NUMERICAL ANALYSIS, General, Parallel
                 algorithms \\ G.1.6 Mathematics of Computing, NUMERICAL
                 ANALYSIS, Optimization, Least squares methods",
}

@TechReport{Elhay:1989:UDO,
  author =       "Sylvan Elhay and Gene H. Golub and Jaroslav
                 Kautsk{\'y}",
  title =        "Updating and downdating of orthogonal polynomials with
                 data fitting applications",
  type =         "Technical Report",
  number =       "STAN-CS-89-04, NA-89-04",
  institution =  inst-STANFORD-CS,
  address =      inst-STANFORD-CS:adr,
  pages =        "32",
  month =        "??",
  year =         "1989",
  bibdate =      "Mon Oct 24 10:35:29 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
  keywords =     "orthogonal polynomials; least squares",
}

@TechReport{Elman:1989:IMC,
  author =       "Howard C. Elman and Gene H. Golub",
  title =        "Iterative methods for cyclically reduced
                 non-self-adjoint linear systems {II}",
  type =         "Technical Report",
  number =       "STAN CS-TR-2238, UMIACS-TR-89-45",
  institution =  inst-STANFORD-CS,
  address =      inst-STANFORD-CS:adr,
  pages =        "26",
  month =        "??",
  year =         "1989",
  bibdate =      "Mon Oct 24 10:35:29 MDT 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
  keywords =     "linear systems; iterative methods (mathematics)",
}

@InProceedings{Elman:1989:LIM,
  author =       "Howard C. Elman and Gene H. Golub",
  title =        "Line iterative methods for cyclically reduced
                 non-self-adjoint elliptic problems",
  crossref =     "ARO:1990:TSA",
  pages =        "457--466",
  year =         "1989",
  MRclass =      "65F10 (65N20)",
  MRnumber =     "057 847",
  bibdate =      "Sun Jan 14 10:11:05 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb # " and " # ack-sf,
}

@Article{Gander:1989:CEP,
  author =       "Walter Gander and Gene H. Golub and Urs {von Matt}",
  title =        "A constrained eigenvalue problem",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "114/115",
  pages =        "815--839",
  year =         "1989",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795",
  MRclass =      "15A18 (15A23)",
  MRnumber =     "90e:15008",
  MRreviewer =   "Lajos L{\'a}szl{\'o}",
  bibdate =      "Fri Dec 20 16:39:55 MST 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Gander:1989:SLE,
  author =       "Walter Gander and Gene H. Golub and Dominik Gruntz",
  title =        "Solving linear equations by extrapolation",
  crossref =     "Kowalik:1989:S",
  pages =        "279--293",
  year =         "1989",
  MRclass =      "65F10",
  MRnumber =     "91j:65060",
  MRreviewer =   "R. P. Tewarson",
  bibdate =      "Fri Dec 20 16:39:55 MST 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
  acknowledgement = ack-nhfb,
}

@Article{Golub:1989:CEP,
  author =       "Walter Gander and Gene H. Golub and Urs {von Matt}",
  title =