%%% -*-BibTeX-*-
%%% ====================================================================
%%%  BibTeX-file{
%%%     author          = "Nelson H. F. Beebe",
%%%     version         = "1.02",
%%%     date            = "17 November 2023",
%%%     time            = "16:06:10 MST",
%%%     filename        = "givens-wallace.bib",
%%%     address         = "University of Utah
%%%                        Department of Mathematics, 110 LCB
%%%                        155 S 1400 E RM 233
%%%                        Salt Lake City, UT 84112-0090
%%%                        USA",
%%%     telephone       = "+1 801 581 5254",
%%%     FAX             = "+1 801 581 4148",
%%%     URL             = "https://www.math.utah.edu/~beebe",
%%%     checksum        = "09786 4740 19601 206877",
%%%     email           = "beebe at math.utah.edu, beebe at acm.org,
%%%                        beebe at computer.org (Internet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "bibliography; BibTeX; Givens rotations;
%%%                        J. W. Givens; James W.  Givens, Jr.; James
%%%                        Wallace Givens, Jr.; Numerical analysis;
%%%                        Wallace Givens",
%%%     license         = "public domain",
%%%     supported       = "yes",
%%%     docstring       = "This is a bibliography of publications by,
%%%                        and about, the numerical analyst Wallace
%%%                        Givens (14 December 1910--5 March 1993), who
%%%                        published under at least four name
%%%                        variations:
%%%
%%%                            Givens, Wallace	[preferred]
%%%                            Givens, J. W.
%%%                            Givens, James W., Jr.
%%%                            Givens, James Wallace, Jr.
%%%
%%%                        Wallace Givens was born in Alberene, VA, USA,
%%%                        graduated from high school at the age of 14,
%%%                        received a Bachelor's degree at the age of 17
%%%                        in 1927 at Lynchburg College, VA, USA,
%%%                        studied at the University of Kentucky, and
%%%                        received a Master's degree from the
%%%                        University of Virginia, and a Ph.D. from
%%%                        Princeton University, NJ, USA in 1936.
%%%
%%%                        He worked at Cornell University (Ithaca, NY,
%%%                        USA), (1937--1941), Northwestern University
%%%                        (Evanston, IL, USA) (1941--1964), Wayne State
%%%                        University (Detroit, MI, USA) (1956--1960, as
%%%                        Chair of the Department of Mathematics), and
%%%                        returned to Northwestern (1960).
%%%
%%%                        In 1960 (or 1963), he became Senior Scientist
%%%                        at Argonne National Laboratory (Argonne, IL,
%%%                        USA). He was Director of the Division of
%%%                        Applied Mathematics (1964--1970), and 14th
%%%                        President of the Society for Industrial and
%%%                        Applied Mathematics (SIAM) (1969--1970).  He
%%%                        retired from Argonne in 1975, and returned to
%%%                        Northwestern University. He retired from
%%%                        there in 1979 as Professor Emeritus.
%%%
%%%                        Together with James H. Wilkinson, he started
%%%                        an effort to translate to Fortran the Algol
%%%                        procedures for matrix analysis that were
%%%                        being published in Numerische Mathematik.
%%%                        That was the genesis of the NATS Project
%%%                        (named for Northwestern, Argonne, Texas, and
%%%                        Stanford, later reinterpreted to mean
%%%                        National Activity to Test Software. as it
%%%                        expanded to other universities), which
%%%                        produced the EISPACK, LINPACK, and LAPACK
%%%                        libraries.
%%%
%%%                        At version 1.02, the year coverage looked
%%%                        like this:
%%%
%%%                             1934 (   1)    1964 (   1)    1994 (   4)
%%%                             1935 (   0)    1965 (   0)    1995 (   3)
%%%                             1936 (   1)    1966 (   0)    1996 (   1)
%%%                             1937 (   3)    1967 (   1)    1997 (   4)
%%%                             1938 (   9)    1968 (   1)    1998 (   3)
%%%                             1939 (   0)    1969 (   0)    1999 (   2)
%%%                             1940 (   1)    1970 (   0)    2000 (   3)
%%%                             1941 (   0)    1971 (   0)    2001 (   1)
%%%                             1942 (   0)    1972 (   0)    2002 (   4)
%%%                             1943 (   0)    1973 (   2)    2003 (   2)
%%%                             1944 (   0)    1974 (   2)    2004 (   2)
%%%                             1945 (   0)    1975 (   1)    2005 (   2)
%%%                             1946 (   0)    1976 (   0)    2006 (   3)
%%%                             1947 (   1)    1977 (   0)    2007 (   1)
%%%                             1948 (   0)    1978 (   1)    2008 (   1)
%%%                             1949 (   0)    1979 (   2)    2009 (   3)
%%%                             1950 (   0)    1980 (   1)    2010 (   1)
%%%                             1951 (   1)    1981 (   2)    2011 (   1)
%%%                             1952 (   1)    1982 (   3)    2012 (   0)
%%%                             1953 (   1)    1983 (   3)    2013 (   1)
%%%                             1954 (   1)    1984 (   4)    2014 (   2)
%%%                             1955 (   1)    1985 (   1)    2015 (   1)
%%%                             1956 (   0)    1986 (   9)    2016 (   3)
%%%                             1957 (   2)    1987 (   7)    2017 (   4)
%%%                             1958 (   3)    1988 (   9)    2018 (   6)
%%%                             1959 (   1)    1989 (   4)    2019 (   2)
%%%                             1960 (   0)    1990 (   1)    2020 (   2)
%%%                             1961 (   2)    1991 (   5)    2021 (   2)
%%%                             1962 (   3)    1992 (   0)
%%%                             1963 (   5)    1993 (   3)
%%%
%%%                             Article:        136
%%%                             Book:             1
%%%                             InBook:           1
%%%                             InCollection:     2
%%%                             InProceedings:   12
%%%                             Misc:             1
%%%                             PhdThesis:        2
%%%                             Proceedings:      1
%%%                             TechReport:       8
%%%
%%%                             Total entries:  164
%%%
%%%                        See the encyclopedia and genealogy entries at
%%%
%%%                            https://en.wikipedia.org/wiki/Wallace_Givens
%%%                            https://www.mathgenealogy.org/id.php?id=1377
%%%
%%%                        According to the genealogy site, Wallace
%%%                        Givens has 5 students and 206 academic
%%%                        descendants.
%%%
%%%                        The checksum field above contains a CRC-16
%%%                        checksum as the first value, followed by the
%%%                        equivalent of the standard UNIX wc (word
%%%                        count) utility output of lines, words, and
%%%                        characters.  This is produced by Robert
%%%                        Solovay's checksum utility.",
%%%  }
%%% ====================================================================

@Preamble{
    "\ifx \undefined \booktitle \def \booktitle #1{{{\em #1}}} \fi" #
    "\ifx \undefined \cprime    \def \cprime      {$'$}        \fi" #
    "\ifx \undefined \mathbb    \def \mathbb    #1{{\bf #1}}   \fi"
}

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

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

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

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

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

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

@String{j-ADV-COMPUT-MATH       = "Advances in Computational Mathematics"}

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

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

@String{j-APPL-INTELL           = "Applied Intelligence"}

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

@String{j-APPL-STAT             = "Applied Statistics"}

@String{j-ARCH-HIST-EXACT-SCI   = "Archive for History of Exact Sciences"}

@String{j-BAYESIAN-ANAL         = "Bayesian Analysis"}

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

@String{j-BOLL-STOR-SCI-MAT     = "Bollettino di Storia delle Scienze Matematiche"}

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

@String{j-BULL-AUSTRAL-MATH-SOC = "Bulletin of the Australian Mathematical
                                  Society"}

@String{j-CACM                  = "Communications of the ACM"}

@String{j-COMMUN-MATH-PHYS      = "Communications in Mathematical Physics"}

@String{j-COMMUN-STAT-SIMUL-COMPUT = "Communications in Statistics: Simulation
                                  and Computation"}

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

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

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

@String{j-COMPUTING             = "Computing: Archiv f{\"u}r Informatik und
                                  Numerik"}

@String{j-ELECT-LETTERS         = "Electronics Letters"}

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

@String{j-FUT-GEN-COMP-SYS      = "Future Generation Computer Systems"}

@String{j-IEEE-TRANS-PAR-DIST-SYS = "IEEE Transactions on Parallel and
                                    Distributed Systems"}

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

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

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

@String{j-IZV-VYSS-UCEBN-ZAVED-MAT = "Izvestiia vysshikh uchebnykh zavedenii.
                                   Matematika"}

@String{j-J-ACM                 = "Journal of the ACM"}

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

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

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

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

@String{j-J-WASH-ACAD-SCI       = "Journal of the Washington Academy of
                                  Sciences"}

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

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

@String{j-MATH-CLUJ             = "Mathematicae Cluj"}

@String{j-MATH-COMP-MODELLING   = "Mathematical and Computer Modelling"}

@String{j-MULTIBODY-SYST-DYN    = "Multibody System Dynamics"}

@String{j-NAMS                  = "Notices of the American Mathematical Society"}

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

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

@String{j-OPER-MATRICES         = "Operators and Matrices"}

@String{j-PARALLEL-ALGORITHMS-APPL = "Parallel Algorithms and Applications"}

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

@String{j-PROC-AM-MATH-SOC      = "Proceedings of the American Mathematical
                                  Society"}

@String{j-PROC-INST-STATIST-MATH = "Proceedings of the Institute of Statistical
                                   Mathematics"}

@String{j-PROC-NATL-ACAD-SCI-USA = "Proceedings of the National Academy of
                                  Sciences of the United States of America"}

@String{j-SCIENCE               = "Science"}

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

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

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

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

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

@String{j-SUPERCOMPUTER         = "Supercomputer"}

@String{j-TECS                  = "ACM Transactions on Embedded Computing
                                  Systems"}

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

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

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

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

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

@String{pub-USGPO               = "United States Government Printing Office"}
@String{pub-USGPO:adr           = "Washington, DC, USA"}

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

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

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

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

%%% ====================================================================
%%%                Part 1: Publications by Wallace Givens
%%%
%%% Bibliography entries, sorted by year, and then by citation label:

@Article{Givens:1934:PDS,
  author =       "J. W. {Givens, Jr.}",
  title =        "Projective differentiation of spinors",
  journal =      j-PROC-NATL-ACAD-SCI-USA,
  volume =       "20",
  pages =        "232--233",
  year =         "1934",
  CODEN =        "PNASA6",
  DOI =          "https://doi.org/10.1073/pnas.20.4.232",
  ISSN =         "0027-8424 (print), 1091-6490 (electronic)",
  ISSN-L =       "0027-8424",
  bibdate =      "Tue Oct 24 08:11:09 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "0009.08501",
  acknowledgement = ack-nhfb,
  author-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  fjournal =     "Proceedings of the National Academy of Sciences of the
                 United States of America",
  journal-URL =  "http://www.pnas.org/content/by/year",
  ZBmath =       "2538998, 3013037",
}

@PhdThesis{Givens:1936:TCL,
  author =       "James W. {Givens, Jr.}",
  title =        "Tensor Coordinates of Linear Spaces",
  type =         "{Ph.D.} dissertation",
  school =       "Princeton University",
  address =      "Princeton, NJ, USA",
  pages =        "40",
  year =         "1936",
  MRclass =      "99-05",
  MRnumber =     "2937114",
  bibdate =      "Mon Oct 23 16:22:11 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  URL =          "https://catalog.princeton.edu/catalog/9926918853506421;
                 https://www.proquest.com/docview/301771617/",
  acknowledgement = ack-nhfb,
  advisor =      "Oswald Veblen",
  author-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  remark =       "Some library catalogs show the date as 1937, but the
                 Princeton and ProQuest catalog say 1936.",
}

@Article{Givens:1937:TCLa,
  author =       "Wallace Givens",
  title =        "Tensor coordinates of linear spaces",
  journal =      j-ANN-MATH-2,
  volume =       "38",
  number =       "2",
  pages =        "355--385",
  year =         "1937",
  CODEN =        "ANMAAH",
  DOI =          "https://doi.org/10.2307/1968558",
  ISSN =         "0003-486X (print), 1939-8980 (electronic)",
  ISSN-L =       "0003-486X",
  MRclass =      "99-04",
  MRnumber =     "1503340",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "0016.32101",
  author-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  fjournal =     "Annals of Mathematics. Second Series",
  journal-URL =  "http://www.jstor.org/action/showPublication?journalCode=annamath",
  ZBmath =       "2524028, 3026173",
}

@InProceedings{Givens:1937:TCL,
  author =       "Wallace Givens",
  editor =       "????",
  booktitle =    "{C. R. Congr. internat. Math., Oslo 1936}",
  title =        "Tensor coordinates of linear spaces",
  volume =       "2",
  publisher =    "????",
  address =      "????",
  pages =        "176--177",
  year =         "1937",
  bibdate =      "Tue Oct 24 08:08:49 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "2522061",
}

@Article{Butchart:1938:PSE,
  author =       "J. H. Butchart and Wallace Givens and R. J. Walker",
  title =        "Problems and Solutions: Elementary Problems:
                 Solutions: {E293}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "45",
  number =       "8",
  pages =        "552--553",
  month =        oct,
  year =         "1938",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:39:02 MDT 1999",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  note =         "See also
                 \cite{Butchart:1938:PSEa,Campbell:1937:PSEb}.",
  acknowledgement = ack-nhfb,
  author-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
}

@Article{Givens:1940:FSL,
  author =       "Wallace Givens",
  title =        "Factorization and signatures of {Lorentz} matrices",
  journal =      j-BULL-AMS,
  volume =       "46",
  pages =        "81--85",
  year =         "1940",
  CODEN =        "BAMOAD",
  DOI =          "https://doi.org/10.1090/S0002-9904-1940-07137-X",
  ISSN =         "0002-9904 (print), 1936-881x (electronic)",
  ISSN-L =       "0002-9904",
  MRclass =      "15.0X",
  MRnumber =     "1204",
  MRreviewer =   "B. W. Jones",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "0022.29901",
  author-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  fjournal =     "Bulletin of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/bull/all_issues.html",
  ZBmath =       "2505487, 3036384",
}

@Article{Givens:1947:PSL,
  author =       "Wallace Givens",
  title =        "Parametric solution of linear homogeneous
                 {Diophantine} equations",
  journal =      j-BULL-AMS,
  volume =       "53",
  pages =        "780--783",
  year =         "1947",
  CODEN =        "BAMOAD",
  DOI =          "https://doi.org/10.1090/S0002-9904-1947-08879-0",
  ISSN =         "0002-9904 (print), 1936-881x (electronic)",
  ISSN-L =       "0002-9904",
  MRclass =      "10.0X",
  MRnumber =     "21552",
  MRreviewer =   "N. G. de Bruijn",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "0032.26303",
  author-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  fjournal =     "Bulletin of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/bull/all_issues.html",
  ZBmath =       "3049990",
}

@Article{Givens:1951:RPC,
  author =       "Wallace Givens",
  title =        "Recent Publications: {{\em College Algebra}}, by {E.
                 B. Miller and R. M. Thrall}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "58",
  number =       "3",
  pages =        "200--201",
  month =        mar,
  year =         "1951",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:36:13 MDT 1999",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
}

@Article{Givens:1952:FVM,
  author =       "Wallace Givens",
  title =        "Fields of values of a matrix",
  journal =      j-PROC-AM-MATH-SOC,
  volume =       "3",
  pages =        "206--209",
  year =         "1952",
  CODEN =        "PAMYAR",
  DOI =          "https://doi.org/10.2307/2032259",
  ISSN =         "0002-9939 (print), 1088-6826 (electronic)",
  ISSN-L =       "0002-9939",
  MRclass =      "09.0X",
  MRnumber =     "47004",
  MRreviewer =   "O. Taussky-Todd",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "0048.25003",
  author-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  fjournal =     "Proceedings of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/proc",
  ZBmath =       "3075804",
}

@InCollection{Givens:1953:MCE,
  author =       "Wallace Givens",
  booktitle =    "Simultaneous linear equations and the determination of
                 eigenvalues",
  title =        "A method of computing eigenvalues and eigenvectors
                 suggested by classical results on symmetric matrices",
  volume =       "29",
  publisher =    pub-USGPO,
  address =      pub-USGPO:adr,
  pages =        "117--122",
  year =         "1953",
  MRclass =      "65.0X",
  MRnumber =     "59070",
  MRreviewer =   "G. E. Forsythe",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  series =       "National Bureau of Standards Applied Mathematics
                 Series",
  ZMnumber =     "0052.35003",
  author-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  remark =       "From \cite{Pool:1994:JWG}: ``Gene Golub and Beresford
                 Parlett, in the January 1991 issue of the SIAM Journal
                 on Matrix Analysis and Applications which is dedicated
                 to Givens, point out that Givens's method was `the
                 first roundoff error analysis of matrix computations
                 that was deliberately made in the `backward' mode.'
                 \ldots{} although never published in an archival
                 journal, the paper `did fall into the right hands',
                 Golub and Parlett relate. `Wilkinson saw the great
                 potential in backward error analysis and went on to
                 show that, contrary to current beliefs, floating-point
                 computation was easier to analyze than fixed-point
                 computation.'\,''",
  ZBmath =       "3083851",
}

@TechReport{Givens:1954:NCC,
  author =       "Wallace Givens",
  title =        "Numerical computation of the characteristic values of
                 a real symmetric matrix",
  type =         "Report",
  number =       "ORNL 1574",
  institution =  "Oak Ridge National Laboratory",
  address =      "Oak Ridge, TN, USA",
  pages =        "vi + 107",
  year =         "1954",
  MRclass =      "65.0X",
  MRnumber =     "63771",
  MRreviewer =   "G. E. Forsythe",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "0055.35005",
  author-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "3088452",
}

@Book{Veblen:1955:GCD,
  author =       "Oswald Veblen and J. W. Givens",
  title =        "Geometry of complex domains, a seminar conducted by
                 {Professors Oswald Veblen} and {John von Neumann},
                 1935--36",
  publisher =    "The Institute for Advanced Study",
  address =      "Princeton, NJ, USA",
  pages =        "iii + 259",
  year =         "1955",
  MRclass =      "53.0X",
  MRnumber =     "0065998 (16,516a)",
  bibdate =      "Tue Jun 25 08:46:32 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/v/von-neumann-john.bib",
  note =         "Lectures by O. Veblen and J. W. Givens. Notes by A. H.
                 Taub and J. W. Givens. Revised edition.",
  acknowledgement = ack-nhfb,
  author-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Givens:1957:CVV,
  author =       "Wallace Givens",
  title =        "The Characteristic Value-Vector Problem",
  journal =      j-J-ACM,
  volume =       "4",
  number =       "3",
  pages =        "298--307",
  month =        jul,
  year =         "1957",
  CODEN =        "JACOAH",
  DOI =          "https://doi.org/10.1145/320881.320886",
  ISSN =         "0004-5411 (print), 1557-735X (electronic)",
  ISSN-L =       "0004-5411",
  MRclass =      "65.3X",
  MRnumber =     "92224",
  MRreviewer =   "A. S. Householder",
  bibdate =      "Mon Dec 05 20:06:28 1994",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/jacm.bib",
  abstract =     "The computation of the characteristic values and
                 vectors of a real matrix which is not required to be
                 symmetric (or, if the components are complex numbers,
                 not necessarily hermitian) is a problem of much greater
                 difficulty than is the symmetric (or hermitian) case.
                 This is evidenced in three ways: (1) the characteristic
                 values may be complex, even though the given matrix has
                 real elements; (2) the number of characteristic vectors
                 may be less than the order of the matrix; and, (3) the
                 vectors may differ by an arbitrarily small amount even
                 though their characteristic values are satisfactorily
                 distinct.",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Assoc. Comput. Mach.",
  author-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  fjournal =     "Journal of the Association for Computing Machinery",
  journal-URL =  "https://dl.acm.org/loi/jacm",
}

@Article{Givens:1958:CMC,
  author =       "Wallace Givens",
  title =        "Conference on Matrix Computations",
  journal =      j-J-ACM,
  volume =       "5",
  number =       "1",
  pages =        "100--115",
  month =        jan,
  year =         "1958",
  CODEN =        "JACOAH",
  DOI =          "https://doi.org/10.1145/320911.320923",
  ISSN =         "0004-5411 (print), 1557-735X (electronic)",
  ISSN-L =       "0004-5411",
  bibdate =      "Mon Dec 05 20:00:33 1994",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/jacm.bib",
  ZMnumber =     "0084.35102",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Assoc. Comput. Mach.",
  author-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  fjournal =     "Journal of the Association for Computing Machinery",
  journal-URL =  "https://dl.acm.org/loi/jacm",
  ZBmath =       "3138516",
}

@Article{Givens:1958:CPU,
  author =       "Wallace Givens",
  title =        "Computation of Plane Unitary Rotations Transforming a
                 General Matrix to Triangular Form",
  journal =      j-J-SIAM,
  volume =       "6",
  number =       "1",
  pages =        "26--50",
  month =        mar,
  year =         "1958",
  CODEN =        "JSIMAV",
  DOI =          "https://doi.org/10.1137/0106004",
  ISSN =         "0368-4245 (print), 1095-712X (electronic)",
  ISSN-L =       "0368-4245",
  MRclass =      "65.3X",
  MRnumber =     "92223",
  MRreviewer =   "H. Schwerdtfeger",
  bibdate =      "Sun Nov 6 14:38:39 GMT 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/datacompression.bib;
                 https://www.math.utah.edu/pub/tex/bib/siam.bib; JSTOR
                 database",
  ZMnumber =     "0087.11902",
  acknowledgement = ack-ds # " and " # ack-nhfb,
  author-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  fjournal =     "Journal of the Society for Industrial and Applied
                 Mathematics",
  journal-URL =  "http://epubs.siam.org/loi/smjmap.1",
  rawdata =      "Givens, Wallace (1958) ``Computation of Plane Unitary
                 Rotations Transforming a General Matrix to Triangular
                 Form,'' {\it Journal of the Society for Industrial and
                 Applied Mathematics}, {\bf 6}(1):26--50, March.",
  ZBmath =       "3142435",
}

@Article{Givens:1959:RPI,
  author =       "Wallace Givens",
  title =        "Recent Publications: {{\em Introduction to the Theory
                 of Determinants and Matrices}}, by {Edward Tankard
                 Browne}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "66",
  number =       "3",
  pages =        "247--248",
  month =        mar,
  year =         "1959",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:39:19 MDT 1999",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
}

@Article{Givens:1962:RSS,
  author =       "Wallace Givens",
  title =        "Reports of Sections and Societies: Mathematics
                 (Section A)",
  journal =      j-SCIENCE,
  volume =       "135",
  number =       "3503",
  pages =        "547--549",
  day =          "16",
  month =        feb,
  year =         "1962",
  CODEN =        "SCIEAS",
  DOI =          "https://doi.org/10.1126/science.135.3503.547",
  ISSN =         "0036-8075 (print), 1095-9203 (electronic)",
  ISSN-L =       "0036-8075",
  bibdate =      "Fri Sep 14 13:51:47 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hamming-richard-w.bib",
  URL =          "http://science.sciencemag.org/content/135/3503/547.full.pdf",
  acknowledgement = ack-nhfb,
  author-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  fjournal =     "Science",
  journal-URL =  "http://www.sciencemag.org/archive/",
  remark =       "Commentary on \cite{Hamming:1961:IIC}, including
                 ``Hamming remarked that in the future the 10 percent of
                 the work of an industrial laboratory now done on a
                 computer will become 90 percent.''",
}

@Article{Heller:1963:PSS,
  author =       "Sidney Heller and J. E. Yeager and Wallace Givens",
  title =        "Problems and Solutions: Solutions of Elementary
                 Problems: {E1525}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "70",
  number =       "3",
  pages =        "334--334",
  month =        mar,
  year =         "1963",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:37:02 MDT 1999",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  note =         "See also \cite{Hawthorne:1962:EPS}.",
  acknowledgement = ack-nhfb,
  author-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
}

@Article{Burrows:1964:BRP,
  author =       "James W. Burrows and Wallace Givens",
  title =        "Book Review: {{\booktitle{On a Property of a Unitary
                 Matrix}} (J. L. Brenner and F. T. Smith)}",
  journal =      j-SIAM-REVIEW,
  volume =       "6",
  number =       "4",
  pages =        "460--461",
  month =        "????",
  year =         "1964",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1006101",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Thu Mar 27 09:05:18 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/6/4;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "October 1964",
}

@Article{Givens:1968:LEP,
  author =       "Wallace Givens",
  title =        "Letter to the {Editor}: proposed abbreviation for $
                 1024 $: {bK}",
  journal =      j-CACM,
  volume =       "11",
  number =       "6",
  pages =        "391--391",
  month =        jun,
  year =         "1968",
  CODEN =        "CACMA2",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Fri Nov 25 18:20:20 MST 2005",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1960.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  fjournal =     "Communications of the ACM",
  journal-URL =  "https://dl.acm.org/loi/cacm",
}

%%% ====================================================================
%%%        Part 2: Publications about Wallace Givens and his works

@Article{Campbell:1937:PSEb,
  author =       "W. B. Campbell and A. A. Bennett and Meyer Karlin and
                 V. Th{\'e}bault and K. W. Miller and J. H. Butchart",
  title =        "Problems and Solutions: Elementary Problems: Problems
                 for Solution: {E288--E293}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "44",
  number =       "7",
  pages =        "478--479",
  month =        aug # "\slash " # sep,
  year =         "1937",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:38:37 MDT 1999",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  note =         "See also
                 \cite{Bennett:1938:PSE,Butchart:1938:PSEa,Butchart:1938:PSEb,Campbell:1938:PSEb,Campbell:1938:PSEd,Karlin:1938:PSE,Miller:1938:PSE,Thebault:1938:PSEd}.",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Bennett:1938:PSE,
  author =       "A. A. Bennett and J. H. Butchart",
  title =        "Problems and Solutions: Elementary Problems:
                 Solutions: {E289}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "45",
  number =       "3",
  pages =        "186--187",
  month =        mar,
  year =         "1938",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:38:51 MDT 1999",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  note =         "See also \cite{Campbell:1937:PSEb}.",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Butchart:1938:PSEa,
  author =       "J. H. Butchart and W. B. Clarke",
  title =        "Problems and Solutions: Elementary Problems:
                 Solutions: {E293}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "45",
  number =       "3",
  pages =        "189--189",
  month =        mar,
  year =         "1938",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:38:51 MDT 1999",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  note =         "See also
                 \cite{Butchart:1938:PSEb,Campbell:1937:PSEb}.",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Butchart:1938:PSEb,
  author =       "J. H. Butchart and Wallace Givens and R. J. Walker",
  title =        "Problems and Solutions: Elementary Problems:
                 Solutions: {E293}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "45",
  number =       "8",
  pages =        "552--553",
  month =        oct,
  year =         "1938",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:39:02 MDT 1999",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  note =         "See also
                 \cite{Butchart:1938:PSEa,Campbell:1937:PSEb}.",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Campbell:1938:PSEb,
  author =       "W. B. Campbell and J. H. Butchart",
  title =        "Problems and Solutions: Elementary Problems:
                 Solutions: {E288}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "45",
  number =       "3",
  pages =        "186--186",
  month =        mar,
  year =         "1938",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:38:51 MDT 1999",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  note =         "See also
                 \cite{Campbell:1937:PSEb,Campbell:1938:PSEd}.",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Campbell:1938:PSEd,
  author =       "W. B. Campbell",
  title =        "Problems and Solutions: Elementary Problems:
                 Solutions: {E288}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "45",
  number =       "10",
  pages =        "692--692",
  month =        dec,
  year =         "1938",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:39:07 MDT 1999",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  note =         "See also
                 \cite{Campbell:1937:PSEb,Campbell:1938:PSEb}.",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Karlin:1938:PSE,
  author =       "Meyer Karlin and E. P. Starke",
  title =        "Problems and Solutions: Elementary Problems:
                 Solutions: {E290}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "45",
  number =       "3",
  pages =        "187--187",
  month =        mar,
  year =         "1938",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:38:51 MDT 1999",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  note =         "See also \cite{Campbell:1937:PSEb}.",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Miller:1938:PSE,
  author =       "K. W. Miller and E. P. Starke",
  title =        "Problems and Solutions: Elementary Problems:
                 Solutions: {E292}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "45",
  number =       "3",
  pages =        "188--188",
  month =        mar,
  year =         "1938",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:38:51 MDT 1999",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  note =         "See also \cite{Campbell:1937:PSEb}.",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Thebault:1938:PSEd,
  author =       "V. Th{\'e}bault and J. E. Burnam",
  title =        "Problems and Solutions: Elementary Problems:
                 Solutions: {E291}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "45",
  number =       "3",
  pages =        "187--187",
  month =        mar,
  year =         "1938",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:38:51 MDT 1999",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  note =         "See also \cite{Campbell:1937:PSEb}.",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@InProceedings{Wilkinson:1957:CEC,
  author =       "J. H. Wilkinson",
  booktitle =    "Conference Proceedings",
  title =        "The Calculation of the Eigenvectors of Codiagonal
                 Matrices Produced by the {Givens} and {Lanczos}
                 Processes",
  publisher =    pub-WRE,
  address =      pub-WRE:adr,
  pages =        "112:1--112:15",
  year =         "1957",
  bibdate =      "Fri Jun 10 12:38:24 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib",
  acknowledgement = ack-nhfb,
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Causey:1958:SEB,
  author =       "Robert L. Causey",
  title =        "On Some Error Bounds of {Givens}",
  journal =      j-J-ACM,
  volume =       "5",
  number =       "2",
  pages =        "127--131",
  month =        apr,
  year =         "1958",
  CODEN =        "JACOAH",
  DOI =          "https://doi.org/10.1145/320924.320926",
  ISSN =         "0004-5411 (print), 1557-735X (electronic)",
  ISSN-L =       "0004-5411",
  bibdate =      "Mon Dec 05 20:03:47 1994",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/jacm.bib",
  ZMnumber =     "0088.09404",
  abstract =     "In [1] Givens develops a detailed error analysis of
                 his method of calculating the characteristic roots of a
                 real symmetric matrix. In the present paper we point
                 out a slight error in one of Givens' proofs, and then
                 obtain correct error bounds to replace those directly
                 affected by the error. Our new proofs provide sharper
                 bounds and also illustrate different techniques of
                 obtaining bounds. The results are obtained without
                 using any stronger assumptions than those employed in
                 [1]. Since the inequalities (3.6), (3.9), and (4.8) of
                 this note are sharper than the corresponding
                 inequalities (2.6.33), (2.6.14), and (2.6.30) of [1],
                 the final conclusions of Givens remain valid, in spite
                 of his slight error. We could use our (3.6), (3.9), and
                 (4.8) to sharpen slightly Givens' final results.",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Assoc. Comput. Mach.",
  fjournal =     "Journal of the Association for Computing Machinery",
  journal-URL =  "https://dl.acm.org/loi/jacm",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "3143935",
}

@Article{Johansen:1961:MGM,
  author =       "Donald E. Johansen",
  title =        "A Modified {Givens} Method for the Eigenvalue
                 Evaluation of Large Matrices",
  journal =      j-J-ACM,
  volume =       "8",
  number =       "3",
  pages =        "331--335",
  month =        jul,
  year =         "1961",
  CODEN =        "JACOAH",
  DOI =          "https://doi.org/10.1145/321075.321077",
  ISSN =         "0004-5411 (print), 1557-735X (electronic)",
  ISSN-L =       "0004-5411",
  bibdate =      "Mon Dec 05 20:08:53 1994",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/jacm.bib",
  ZMnumber =     "0109.09102",
  abstract =     "The first step in Givens' procedure [1] for isolating
                 the eigenvalues of a real $ n \times n $ symmetric
                 matrix $A$ involves reduction of $A$ to tri-diagonal
                 form. The usual methods for accomplishing this
                 reduction require rapid random access to the elements
                 of $A$; otherwise, for large matrices the computer time
                 required to search (say on magnetic tape) for these
                 elements may be much longer than the time required for
                 actual computation. A basic reordering of operations,
                 which avoids this difficulty and makes efficient use of
                 auxiliary magnetic tape memory for primary storage of
                 matrices which are too large to handle in high speed
                 storage, is the subject of this paper.",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Assoc. Comput. Mach.",
  fjournal =     "Journal of the Association for Computing Machinery",
  journal-URL =  "https://dl.acm.org/loi/jacm",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "3177979",
}

@Article{Rollett:1961:ESC,
  author =       "J. S. Rollett and J. H. Wilkinson",
  title =        "An efficient scheme for the co-diagonalization of a
                 symmetric matrix by {Givens}' method in a computer with
                 a two-level store",
  journal =      j-COMP-J,
  volume =       "4",
  number =       "2",
  pages =        "177--180",
  month =        jul,
  year =         "1961",
  CODEN =        "CMPJA6",
  DOI =          "https://doi.org/10.1093/comjnl/4.2.177",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  MRclass =      "65.35",
  MRnumber =     "MR0129126 (23 \#B2163)",
  MRreviewer =   "B. A. Chartres",
  bibdate =      "Fri Sep 29 08:55:29 MDT 2000",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
                 http://comjnl.oxfordjournals.org/content/4/2.toc;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_04/Issue_02/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
                 https://www.math.utah.edu/pub/tex/bib/compj.bib;
                 https://www.math.utah.edu/pub/tex/bib/compj1960.bib",
  URL =          "http://comjnl.oxfordjournals.org/content/4/2/177.full.pdf+html;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_04/Issue_02/040177.sgm.abs.html;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_04/Issue_02/tiff/177.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_04/Issue_02/tiff/178.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_04/Issue_02/tiff/179.tif;
                 http://www3.oup.co.uk/computer_journal/hdb/Volume_04/Issue_02/tiff/180.tif",
  acknowledgement = ack-nhfb,
  fjournal =     "The Computer Journal",
  journal-URL =  "http://comjnl.oxfordjournals.org/",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Hawthorne:1962:EPS,
  author =       "Frank Hawthorne and Azriel Rosenfeld and J. G. Hocking
                 and Albert Wilansky and Sidney Heller",
  title =        "Elementary Problems and Solutions: Problems for
                 Solution: {E1521}--{E1525}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "69",
  number =       "6",
  pages =        "566--566",
  month =        jun # "\slash " # jul,
  year =         "1962",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:36:45 MDT 1999",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  note =         "See also
                 \cite{Hawthorne:1963:PSS,Heller:1963:PSS,Hocking:1963:PSS,Rosenfeld:1963:PSSa,Wilansky:1963:PSS}.",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Rollett:1962:LEG,
  author =       "J. S. Rollett and J. H. Wilkinson",
  title =        "Letter to the {Editor}: [{Givens} and {Householder}
                 processes]",
  journal =      j-COMP-J,
  volume =       "4",
  number =       "4",
  pages =        "279--279",
  month =        jan,
  year =         "1962",
  CODEN =        "CMPJA6",
  DOI =          "https://doi.org/10.1093/comjnl/4.4.279",
  ISSN =         "0010-4620 (print), 1460-2067 (electronic)",
  ISSN-L =       "0010-4620",
  bibdate =      "Thu Dec 06 12:14:55 2012",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
                 http://comjnl.oxfordjournals.org/content/4/4.toc;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
                 https://www.math.utah.edu/pub/tex/bib/compj.bib;
                 https://www.math.utah.edu/pub/tex/bib/compj1960.bib",
  URL =          "http://comjnl.oxfordjournals.org/cgi/reprint/4/4/279;
                 http://comjnl.oxfordjournals.org/content/4/4/279.full.pdf+html",
  acknowledgement = ack-nhfb,
  fjournal =     "The Computer Journal",
  journal-URL =  "http://comjnl.oxfordjournals.org/",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Hawthorne:1963:PSS,
  author =       "Frank Hawthorne and D. C. B. Marsh",
  title =        "Problems and Solutions: Solutions of Elementary
                 Problems: {E1521}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "70",
  number =       "3",
  pages =        "331--332",
  month =        mar,
  year =         "1963",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:37:02 MDT 1999",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  note =         "See also \cite{Hawthorne:1962:EPS}.",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Hocking:1963:PSS,
  author =       "J. G. Hocking and Rory Thompson",
  title =        "Problems and Solutions: Solutions of Elementary
                 Problems: {E1523}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "70",
  number =       "3",
  pages =        "333--333",
  month =        mar,
  year =         "1963",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:37:02 MDT 1999",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  note =         "See also \cite{Hawthorne:1962:EPS}.",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Rosenfeld:1963:PSSa,
  author =       "Azriel Rosenfeld and J. L. Pietenpol",
  title =        "Problems and Solutions: Solutions of Elementary
                 Problems: {E1522}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "70",
  number =       "3",
  pages =        "332--333",
  month =        mar,
  year =         "1963",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:37:02 MDT 1999",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  note =         "See also \cite{Hawthorne:1962:EPS}.",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Wilansky:1963:PSS,
  author =       "Albert Wilansky and W. C. Waterhouse",
  title =        "Problems and Solutions: Solutions of Elementary
                 Problems: {E1524}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "70",
  number =       "3",
  pages =        "333--334",
  month =        mar,
  year =         "1963",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:37:02 MDT 1999",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  note =         "See also \cite{Hawthorne:1962:EPS}.",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Marshall:1967:PSV,
  author =       "A. W. Marshall",
  title =        "{{\em Problems and Solutions: 5425}}, by {V. R. R.
                 Uppuluri, Wallace Givens, Ingram Olkin, Marvin Marcus,
                 M. F. Neuts, and Duane W. Bailey}",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "74",
  number =       "8",
  pages =        "1021--1023",
  month =        oct,
  year =         "1967",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:38:46 MDT 1999",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Gentleman:1973:LSC,
  author =       "W. Morven Gentleman",
  title =        "Least Squares Computations by {Givens} Transformations
                 Without Square Roots",
  journal =      j-J-INST-MATH-APPL,
  volume =       "12",
  number =       "??",
  pages =        "329--336",
  year =         "1973",
  CODEN =        "JMTAA8",
  ISSN =         "0020-2932",
  ISSN-L =       "0020-2932",
  MRclass =      "65F20",
  MRnumber =     "48 \#7575",
  MRreviewer =   "N. N. Abdelmalek",
  bibdate =      "Fri Apr 5 07:16:18 MST 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/Matrix.bib;
                 https://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib",
  ZMnumber =     "0289.65020",
  abstract =     "See printed version",
  acknowledgement = ack-nhfb,
  classmath =    "*65F20 Overdetermined systems (numerical linear
                 algebra) 65D10 Smoothing",
  fjournal =     "Journal of the Institute of Mathematics and its
                 Applications",
  journal-URL =  "http://imamat.oxfordjournals.org/content/by/year",
  kwds =         "nla, lsq, qrd, fast rotation",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Hanson:1973:FGT,
  author =       "Richard J. Hanson",
  title =        "Is the fast {Givens} transformation really fast?",
  journal =      j-SIGNUM,
  volume =       "8",
  number =       "4",
  pages =        "7--7",
  month =        oct,
  year =         "1973",
  CODEN =        "SNEWD6",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  ISSN-L =       "0163-5778",
  bibdate =      "Tue Apr 12 07:49:59 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/signum.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM SIGNUM Newsletter",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J690",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Duff:1974:PSR,
  author =       "Iain S. Duff",
  title =        "Pivot selection and row ordering in {Givens} reduction
                 on sparse matrices",
  journal =      j-COMPUTING,
  volume =       "13",
  number =       "3--4",
  pages =        "239--248",
  month =        sep,
  year =         "1974",
  CODEN =        "CMPTA2",
  DOI =          "https://doi.org/10.1007/BF02241717",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  ISSN-L =       "0010-485X",
  bibdate =      "Mon Jan 02 17:53:34 2006",
  bibsource =    "Compendex database;
                 http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
                 https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/computing.bib;
                 INSPEC Axiom database (1968--date)",
  ZMnumber =     "0298.65029",
  acknowledgement = ack-nhfb,
  affiliation =  "Stanford Univ., CA, USA",
  classification = "921; B0290H; C4140",
  description =  "matrix algebra",
  fjournal =     "Computing: Archiv f{\"u}r informatik und numerik",
  journal-URL =  "http://link.springer.com/journal/607",
  journalabr =   "Comput (Vienna/NY)",
  keywords =     "computer programming --- Subroutines; Givens
                 reduction; mathematical techniques; pivot selection;
                 row ordering; sparse matrices; strategies",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "3468181",
}

@Article{Hammarling:1974:NMG,
  author =       "Sven Hammarling",
  title =        "A Note on Modifications to the {Givens} Plane
                 Rotation",
  journal =      j-J-INST-MATH-APPL,
  volume =       "13",
  number =       "??",
  pages =        "215--218",
  year =         "1974",
  CODEN =        "JMTAA8",
  ISSN =         "0020-2932",
  ISSN-L =       "0020-2932",
  MRclass =      "65F25",
  MRnumber =     "49 \#8309 (343568)",
  MRreviewer =   "N. N. Abdelmalek",
  bibdate =      "Fri Apr 5 07:16:18 MST 2002",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/Matrix.bib;
                 https://www.math.utah.edu/pub/tex/bib/jinstmathappl.bib",
  ZMnumber =     "0278.65037",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the Institute of Mathematics and its
                 Applications",
  journal-URL =  "http://imamat.oxfordjournals.org/content/by/year",
  kwds =         "nla, plane rotation, fast algorithm",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "3438258",
}

@Article{Gentleman:1975:EAD,
  author =       "W. Morven Gentleman",
  title =        "Error Analysis of {$ Q R $} Decompositions by {Givens}
                 Transformations",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "10",
  number =       "3",
  pages =        "189--197",
  month =        jun,
  year =         "1975",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(75)90068-3",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Tue Feb 16 18:48:56 MST 2016",
  bibsource =    "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1970.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0024379575900683",
  ZMnumber =     "0308.65022",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
  keywords =     "nla, rounding error, qrd, plane rotation",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "3483470",
}

@Article{Kowalik:1978:FGT,
  author =       "J. S. Kowalik and S. P. Kumar",
  title =        "Fast {Givens} transformations applied to the
                 homogeneous optimization method",
  journal =      j-APPL-MATH-COMP,
  volume =       "4",
  number =       "3",
  pages =        "239--252",
  month =        "????",
  year =         "1978",
  CODEN =        "AMHCBQ",
  DOI =          "https://doi.org/10.1016/0096-3003(78)90009-7",
  ISSN =         "0096-3003 (print), 1873-5649 (electronic)",
  ISSN-L =       "0096-3003",
  bibdate =      "Tue Nov 20 21:00:43 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/applmathcomput1975.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0096300378900097",
  ZMnumber =     "0401.65038",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Mathematics and Computation",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00963003/",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "3622873",
}

@Article{Hanson:1979:MPU,
  author =       "Richard J. Hanson and John A. Wisniewski",
  title =        "A Mathematical Programming Updating Method Using
                 Modified {Givens} Transformations and Applied to {LP}
                 Problems",
  journal =      j-CACM,
  volume =       "22",
  number =       "4",
  pages =        "245--251",
  month =        apr,
  year =         "1979",
  CODEN =        "CACMA2",
  DOI =          "https://doi.org/10.1145/359094.359100",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  MRclass =      "90C05 (65F35)",
  MRnumber =     "80c:90096",
  bibdate =      "Mon Jan 22 06:48:27 MST 2001",
  bibsource =    "Compendex database;
                 http://dblp.uni-trier.de/db/journals/cacm/cacm22.html#HansonW79;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
  ZMnumber =     "0401.90075",
  abstract =     "An efficient and numerically stable method is
                 presented for the problem of updating an orthogonal
                 decomposition of a matrix of column (or row) vectors.
                 The fundamental idea is to add a column (or row)
                 analogous to adding an additional row of data in linear
                 least squares problem. A column (or row) is dropped by
                 a formal scaling with the imaginary unit, followed by
                 least squares addition of the column (or row). The
                 elimination process for the procedure is successive
                 application of the Givens transformation in modified
                 (more efficient) form. These ideas are illustrated with
                 an implementation of the revised simplex method. The
                 algorithm is a general purpose one that does not
                 account for any particular structure or sparsity in the
                 equations. Some suggested computational tests for
                 determining signs of various controlling parameters in
                 the revised simplex algorithm are mentioned. A simple
                 means of constructing test cases and some sample
                 computing times are presented.",
  acknowledgement = ack-nhfb,
  classcodes =   "C1180 (Optimisation techniques)",
  classification = "723",
  corpsource =   "Sandia Labs., Albuquerque, NM, USA",
  journal-URL =  "https://dl.acm.org/loi/cacm",
  journalabr =   "Commun ACM",
  keywords =     "linear programming; mathematical programming;
                 mathematical programming, linear; modified Givens;
                 revised simplex; transformations; updating",
  oldlabel =     "HansonW79",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  treatment =    "T Theoretical or Mathematical",
  XMLdata =      "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/HansonW79",
  ZBmath =       "3623304",
}

@Article{Lawson:1979:ABL,
  author =       "C. L. Lawson and R. J. Hanson and D. R. Kincaid and F.
                 T. Krogh",
  title =        "{Algorithm 539}: {Basic Linear Algebra Subprograms}
                 for {Fortran} Usage [{F1}]",
  journal =      j-TOMS,
  volume =       "5",
  number =       "3",
  pages =        "324--325",
  month =        sep,
  year =         "1979",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/355841.355848",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Thu May 20 13:48:12 2004",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  note =         "See also
                 \cite{Dodson:1982:RBL,Dodson:1983:CRB,Hanson:1987:ATA,Louter-Nool:1988:ATA,Hanson:2004:AAV,Hanson:2018:RAM}.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{George:1980:SSL,
  author =       "Alan George and Michael T. Heath",
  title =        "Solution of sparse linear least squares problems using
                 {Givens} rotations",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "34",
  number =       "??",
  pages =        "69--83",
  month =        dec,
  year =         "1980",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(80)90159-7",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F20 (65F05)",
  MRnumber =     "82f:65040 (591425)",
  MRreviewer =   "Iain S. Duff",
  bibdate =      "Wed Nov 30 13:48:36 MST 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0024379580901597",
  ZMnumber =     "0459.65025",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "3720265",
}

@Article{Clarke:1981:AGA,
  author =       "M. R. B. Clarke",
  title =        "{Algorithm AS 163}: {A} {Givens} Algorithm for Moving
                 from One Linear Model to Another Without Going Back to
                 the Data",
  journal =      j-APPL-STAT,
  volume =       "30",
  number =       "2",
  pages =        "198--203",
  month =        jun,
  year =         "1981",
  CODEN =        "APSTAG",
  DOI =          "https://doi.org/10.2307/2346398",
  ISSN =         "0035-9254 (print), 1467-9876 (electronic)",
  ISSN-L =       "0035-9254",
  bibdate =      "Sat Apr 21 10:23:08 MDT 2001",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/as1980.bib; JSTOR
                 database",
  URL =          "http://lib.stat.cmu.edu/apstat/163",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Statistics",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-9876/issues",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@InProceedings{Hume:1981:SOL,
  author =       "David Hume and James Litsey and Robert Plemmons",
  editor =       "????",
  booktitle =    "Numerical analysis and computers, {Proceedings of the
                 1981 Army Conference}",
  title =        "Software for ordering large sparse least squares
                 problems prior to {Givens} reduction",
  volume =       "ARO Report 83-1",
  publisher =    "????",
  address =      "????",
  pages =        "267--282",
  year =         "1981",
  MRclass =      "65F20 65F25 74L05 86A30 62J05 65N30 65-04 65F30",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "0503.65023",
  acknowledgement = ack-nhfb,
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "3793311",
}

@Article{Dodson:1982:RBL,
  author =       "David S. Dodson and Roger G. Grimes",
  title =        "Remark on ``{Algorithm} 539: {Basic Linear Algebra
                 Subprograms} for {Fortran} Usage [{F1}]''",
  journal =      j-TOMS,
  volume =       "8",
  number =       "4",
  pages =        "403--404",
  month =        dec,
  year =         "1982",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/356012.356020",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Mon Sep 05 21:11:37 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  note =         "See
                 \cite{Lawson:1979:ABL,Dodson:1983:CRB,Hanson:1987:ATA,Louter-Nool:1988:ATA}.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Rath:1982:FGR,
  author =       "Wolfgang Rath",
  title =        "Fast {Givens} Rotations for Orthogonal Similarity
                 Transformations",
  journal =      j-NUM-MATH,
  volume =       "40",
  number =       "1",
  pages =        "47--56",
  month =        nov,
  year =         "1982",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/BF01459074",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65F25 (65F30)",
  MRnumber =     "84e:65038 (681811)",
  MRreviewer =   "N. N. Abdelmalek",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib",
  ZMnumber =     "0479.65023",
  acknowledgement = ack-nhfb,
  classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "fast Givens rotations; Hessenberg form; Hessenberg
                 matrices; Householder reflexions; Jacobi method; matrix
                 algebra; matrix notation; orthogonal similarity
                 transformations; QR-algorithm; reduction; sparse
                 matrices",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  treatment =    "T Theoretical or Mathematical",
  ZBmath =       "3753947",
}

@Article{Tanaka:1982:GMH,
  author =       "Teruo Tanaka",
  title =        "{Givens}' method and {Householder}'s method for
                 solution of sparse least squares problem",
  journal =      j-PROC-INST-STATIST-MATH,
  volume =       "30",
  number =       "2",
  pages =        "77--93 (1983)",
  year =         "1982",
  ISSN =         "0912-6112",
  ISSN-L =       "0912-6112",
  MRclass =      "65F50",
  MRnumber =     "742918",
  bibdate =      "Fri Dec 7 06:57:26 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Institute of Statistical
                 Mathematics",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Dodson:1983:CRB,
  author =       "David S. Dodson",
  title =        "Corrigendum: Remark on ``{Algorithm} 539: {Basic
                 Linear Algebra Subroutines} for {FORTRAN} Usage''",
  journal =      j-TOMS,
  volume =       "9",
  number =       "1",
  pages =        "140--140",
  month =        mar,
  year =         "1983",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/356022.356032",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Mon Sep 05 21:11:39 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  note =         "See
                 \cite{Lawson:1979:ABL,Dodson:1982:RBL,Hanson:1987:ATA,Louter-Nool:1988:ATA}.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Kowalik:1983:IFG,
  author =       "J. S. Kowalik and S. P. Kumar and E. R. Kamgnia",
  title =        "An implementation of the fast {Givens} transformations
                 on a {MIMD} computer",
  journal =      "Zastosowania Matematyki",
  volume =       "18",
  pages =        "97--105",
  year =         "1983",
  ISSN =         "0044-1899",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "0532.68034",
  acknowledgement = ack-nhfb,
  ajournal =     "Zastosow. Mat.",
  fjournal =     "Zastosowania Matematyki",
  keywords =     "68N25,68N99,15A06,68W99",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "3845037",
}

@Article{Tanaka:1983:GMH,
  author =       "Teruo Tanaka",
  title =        "{Givens}' method and {Householder}'s method for the
                 solution of sparse least squares problems",
  journal =      j-PROC-INST-STATIST-MATH,
  volume =       "30",
  year =         "1983",
  ISSN =         "0563-685X",
  ISSN-L =       "0563-685X",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib",
  ZMnumber =     "0507.65010",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Institute of Statistical
                 Mathematics",
  keywords =     "65F20,65F50",
  language =     "Japanese",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "3800861",
}

@Article{Bates:1984:NNR,
  author =       "Douglas M. Bates and Dennis A. Wolf",
  title =        "Non-negative regression by {Givens} rotations",
  journal =      j-COMMUN-STAT-SIMUL-COMPUT,
  volume =       "13",
  number =       "6",
  pages =        "841--850",
  year =         "1984",
  CODEN =        "CSSCDB",
  DOI =          "https://doi.org/10.1080/03610918408812419",
  ISSN =         "0361-0918",
  ISSN-L =       "0361-0918",
  bibdate =      "Sat Jan 30 06:32:23 MST 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/communstatsimulcomput1980.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Communications in Statistics: Simulation and
                 Computation",
  journal-URL =  "http://www.tandfonline.com/loi/lssp20",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{George:1984:ROS,
  author =       "Alan George and Joseph Liu and Esmond Ng",
  title =        "Row-ordering schemes for sparse {Givens}
                 transformations. {I}. Bipartite graph model",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "61",
  number =       "??",
  pages =        "55--81",
  month =        sep,
  year =         "1984",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(84)90022-3",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F20 (05C50 15A21 65F25)",
  MRnumber =     "85h:65084",
  MRreviewer =   "Zahari Zlatev",
  bibdate =      "Wed Nov 30 13:49:32 MST 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0024379584900223",
  ZMnumber =     "0557.65018",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "3888798",
}

@TechReport{Ipsen:1984:PMU,
  author =       "I. Ipsen",
  title =        "A Parallel {$ Q R $} Method Using Fast {Givens}'
                 Rotations",
  number =       "YALEU/DCS/RR-299",
  institution =  "Department of Computer Science, Yale University",
  address =      "New Haven, CT, USA",
  year =         "1984",
  bibdate =      "Wed Aug 24 10:37:33 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/i/ipsen-ilse-c-f.bib",
  acknowledgement = ack-nhfb,
  ORCID-numbers = "Ipsen, Ilse/0000-0001-5645-5854",
  SCOPUS-author-ID = "Ipsen, Ilse/6603710519",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Modi:1984:AGO,
  author =       "J. J. Modi and M. R. B. Clarke",
  title =        "An Alternative {Givens} Ordering",
  journal =      j-NUM-MATH,
  volume =       "43",
  number =       "1",
  pages =        "83--90",
  month =        jan,
  year =         "1984",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/BF01389639",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65F05 15A23",
  MRnumber =     "85a:65051",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/nummath.bib;
                 Theory/Matrix.bib",
  ZMnumber =     "0504.65013",
  acknowledgement = ack-nhfb,
  classification = "C4130 (Interpolation and function approximation)",
  corpsource =   "Computing Lab., Oxford Univ., Oxford, UK",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "approximate theoretical analysis; approximation
                 theory; error bounds; Givens ordering; nla; plane
                 rotation; qrd",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  treatment =    "N New Development; T Theoretical or Mathematical",
  ZBmath =       "3795274",
}

@Article{Blais:1985:LSF,
  author =       "J. A. R. Blais",
  title =        "Least-squares filtering and smoothing using {Givens}
                 transformations",
  journal =      "Manuscripta Geodaetica",
  volume =       "10",
  pages =        "208--212",
  year =         "1985",
  ISSN =         "0340-8825",
  MRclass =      "62M20 65C99 93E11 93E10 93E14",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "0591.62080",
  acknowledgement = ack-nhfb,
  ajournal =     "Manuscr. Geod.",
  fjournal =     "Manuscripta Geodaetica",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "3949545",
}

@Article{Chang:1986:PGT,
  author =       "H. Y. Chang and S. Utku and R. J. Melosh",
  title =        "A Parallel {Givens} Tridiagonalization Stratagem Using
                 Scattered Column Decomposition",
  journal =      j-COMPUT-AIDED-CIVIL-INFRASTRUCT-ENG,
  volume =       "1",
  number =       "1",
  pages =        "45--51",
  month =        jul,
  year =         "1986",
  CODEN =        "CCIEFR",
  DOI =          "https://doi.org/10.1111/j.1467-8667.1986.tb00112.x",
  ISSN =         "1093-9687 (print), 1467-8667 (electronic)",
  ISSN-L =       "1093-9687",
  bibdate =      "Tue Oct 24 06:38:13 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer-Aided Civil and Infrastructure Engineering",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1467-8667",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@InProceedings{Cosnard:1986:PSG,
  author =       "M. Cosnard and M. Daoudi and J. M. Muller and Y.
                 Robert",
  title =        "On parallel and systolic {Givens} factorizations of
                 dense matrices",
  crossref =     "Cosnard:1986:PAA",
  pages =        "245--258",
  year =         "1986",
  MRclass =      "65F05 65F25 65Y05 15A23",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "0616.65035",
  acknowledgement = ack-nhfb,
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "3999132",
}

@Article{George:1986:ROSa,
  author =       "Alan George and Joseph Liu and Esmond Ng",
  title =        "Row-ordering schemes for sparse {Givens}
                 transformations. {II}. Implicit graph model",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "75",
  number =       "??",
  pages =        "203--223",
  month =        mar,
  year =         "1986",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(86)90190-4",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F50 65F50 05C50",
  MRnumber =     "87h:65078a",
  MRreviewer =   "Zahari Zlatev",
  bibdate =      "Wed Nov 30 13:50:02 MST 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0024379586901904",
  ZMnumber =     "0596.65011",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "3960863",
}

@Article{George:1986:ROSb,
  author =       "Alan George and Joseph Liu and Esmond Ng",
  title =        "Row-ordering schemes for sparse {Givens}
                 transformations. {III}. {Analyses} for a model
                 problem",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "75",
  number =       "??",
  pages =        "225--240",
  month =        mar,
  year =         "1986",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(86)90191-6",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F50 65F05 65F20 05C50",
  MRnumber =     "87h:65078b",
  MRreviewer =   "Zahari Zlatev",
  bibdate =      "Wed Nov 30 13:50:02 MST 2011",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0024379586901916",
  ZMnumber =     "0596.65012",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "3960864",
}

@Article{Head-Gordon:1986:PAS,
  author =       "M. Head-Gordon and P. Piela",
  title =        "Parallel algorithms for solving linear equations using
                 {Givens} transformations",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "12 (Part A)",
  number =       "9",
  pages =        "987--990",
  month =        sep,
  year =         "1986",
  CODEN =        "CMAPDK",
  DOI =          "https://doi.org/10.1016/0898-1221(86)90023-4",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  MRclass =      "65F05 65Y05 65F25 15A23",
  bibdate =      "Wed Mar 1 19:00:59 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0898122186900234",
  ZMnumber =     "0638.65020",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "4041150",
}

@Article{Heath:1986:PGM,
  author =       "M. T. Heath and D. C. Sorensen",
  title =        "A pipelined {Givens} method for computing the {$ Q R
                 $} factorization of a sparse matrix",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "77",
  number =       "??",
  pages =        "189--203",
  month =        may,
  year =         "1986",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(86)90168-0",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F05 65F50",
  bibdate =      "Wed Nov 30 13:50:06 MST 2011",
  bibsource =    "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0024379586901680",
  ZMnumber =     "0587.65018",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
  keywords =     "nla, vect, qrd, sparse",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  xxtitle =      "A Pipelined Method for Computing the {$ Q R $}
                 Factorization of a Sparse Matrix",
  ZBmath =       "3942903",
}

@Article{Liu:1986:GRM,
  author =       "Joseph W. H. Liu",
  title =        "On general row merging schemes for sparse {Givens}
                 transformations",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "7",
  number =       "4",
  pages =        "1190--1211",
  month =        oct,
  year =         "1986",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0907081",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  MRclass =      "65F50 (15A23)",
  MRnumber =     "87k:65054",
  bibdate =      "Mon Mar 31 09:59:44 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  ZMnumber =     "0605.65031",
  acknowledgement = ack-nhfb,
  classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
  corpsource =   "Dept. of Comput. Sci., York Univ., Downsview, Ont.,
                 Canada",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "column ordering; general row merging schemes;
                 George-Heath scheme; matrix algebra; QR decomposition;
                 sparse Givens transformations; sparse matrices; upper
                 trapezoidal full submatrices; variable row pivoting
                 method; working storage",
  onlinedate =   "October 1986",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  treatment =    "T Theoretical or Mathematical",
  ZBmath =       "3978280",
}

@TechReport{Marchy-Michel:1986:MQA,
  author =       "Hans-Peter M{\"a}rchy-Michel",
  title =        "{Eine Modifikation des $ Q Z $-Algorithmus mit
                 schnellen Givens-Rotationen}. ({On} a modification of
                 the {$ Q Z $-algorithm} with fast {Givens} rotations)",
  institution =  "Philosophische Fakult{\"a}t II der Universit{\"a}t
                 Z{\"u}rich",
  address =      "Z{\"u}rich, Switzerland",
  pages =        "91",
  year =         "1986",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "0635.65033",
  acknowledgement = ack-nhfb,
  keywords =     "65F15",
  language =     "German",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "4034984",
}

@Article{Barlow:1987:SGR,
  author =       "Jesse L. Barlow and Ilse C. F. Ipsen",
  key =          "BarlowIpsen87",
  title =        "Scaled {Givens} Rotations for the Solution of Linear
                 Least Squares Problems on Systolic Arrays",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "8",
  number =       "5",
  pages =        "716--733",
  month =        sep,
  year =         "1987",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0908062",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  MRclass =      "65F20 (65F25 65W05) 65C99 65Y05",
  MRnumber =     "902738 (88m:65064)",
  MRreviewer =   "N. N. Abdelmalek",
  bibdate =      "Tue Oct 24 06:22:34 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/i/ipsen-ilse-c-f.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
                 https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  ZMnumber =     "0627.65041",
  acknowledgement = ack-nhfb,
  classification = "B0290F (Interpolation and function approximation);
                 B1265B (Logic circuits); B2570 (Semiconductor
                 integrated circuits); C4130 (Interpolation and function
                 approximation); C5120 (Logic and switching circuits)",
  corpsource =   "Dept. of Comput. Sci., Pennsylvania State Univ.,
                 University Park, PA, USA",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "cellular arrays; least squares approximations; least
                 squares computations, scaled Givens rotations, systolic
                 arrays, VLSI; linear least squares problems; parallel
                 linear-time implementation; round off error; roundoff
                 errors; scaled Givens rotations; stability; systolic
                 arrays; VLSI",
  onlinedate =   "September 1987",
  ORCID-numbers = "Ipsen, Ilse/0000-0001-5645-5854",
  SCOPUS-author-ID = "Ipsen, Ilse/6603710519",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  treatment =    "P Practical; T Theoretical or Mathematical",
  ZBmath =       "4020329",
}

@Article{Gaylord:1987:MTU,
  author =       "T. Gaylord and E. Vecriest",
  title =        "Matrix Triangularization Using Arrays of Integrated
                 Optical {Givens} Rotation Devices",
  journal =      "Computer",
  volume =       "20",
  number =       "12",
  pages =        "59--66",
  year =         "1987",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{George:1987:HRV,
  author =       "Alan George and Joseph W. H. Liu",
  title =        "{Householder} Reflections versus {Givens} Rotations in
                 Sparse Orthogonal Decomposition",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "88\slash 89",
  number =       "??",
  pages =        "223--238",
  year =         "1987",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/0024-3795(87)90111-X",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F25 (65F50 65W05)",
  MRnumber =     "882449 (88d:65074)",
  MRreviewer =   "David R. Kincaid",
  bibdate =      "Tue Oct 24 06:22:34 2023",
  bibsource =    "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
  ZMnumber =     "0619.65018",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
  keywords =     "nla, lsq, qrd, sparse",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "4005441",
}

@Article{Hanson:1987:ATA,
  author =       "R. J. Hanson and F. T. Krogh",
  title =        "{Algorithm 653}: Translation of {Algorithm} 539:
                 {PC-BLAS Basic Linear Algebra Subprograms} for
                 {FORTRAN} Usage with the {INTEL} 8087, 80287 Numeric
                 Data Processor",
  journal =      j-TOMS,
  volume =       "13",
  number =       "3",
  pages =        "311--317",
  month =        sep,
  year =         "1987",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/29380.214346",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Mon Sep 05 23:07:52 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  note =         "See
                 \cite{Lawson:1979:ABL,Dodson:1982:RBL,Dodson:1983:CRB,Louter-Nool:1988:ATA}.",
  URL =          "http://www.acm.org/pubs/citations/journals/toms/1987-13-3/p311-hanson/",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Marchy:1987:MQA,
  author =       "H. P. M{\"a}rchy",
  title =        "On a modification of the {$ Q Z $} algorithm with fast
                 {Givens} rotations",
  journal =      j-COMPUTING,
  volume =       "38",
  number =       "3",
  pages =        "247--259",
  month =        sep,
  year =         "1987",
  CODEN =        "CMPTA2",
  DOI =          "https://doi.org/10.1007/BF02240099",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  ISSN-L =       "0010-485X",
  MRclass =      "65F15",
  MRnumber =     "88g:65034 (896778)",
  MRreviewer =   "H. R. Schwarz",
  bibdate =      "Tue Oct 24 06:22:34 2023",
  bibsource =    "Compendex database;
                 http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/computing.bib;
                 MathSciNet database",
  ZMnumber =     "0613.65033",
  acknowledgement = ack-nhfb,
  classification = "723; 921",
  fjournal =     "Computing. Archives for Scientific Computing",
  journal-URL =  "http://link.springer.com/journal/607",
  journalabr =   "Computing (Vienna/New York)",
  keywords =     "computer programming --- Algorithms; fast Givens
                 rotations; householder reflections; mathematical
                 techniques; qz algorithm",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "3992792",
}

@Article{Ostrouchov:1987:SGR,
  author =       "George Ostrouchov",
  title =        "Symbolic {Givens} reduction and row-ordering in large
                 sparse least squares problems",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "8",
  number =       "3",
  pages =        "248--264",
  month =        may,
  year =         "1987",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0908033",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  MRclass =      "65F50 (05C50) 65F20 65F25",
  MRnumber =     "89f:65050",
  MRreviewer =   "Iain S. Duff",
  bibdate =      "Mon Mar 31 09:59:51 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  ZMnumber =     "0617.65034",
  acknowledgement = ack-nhfb,
  classification = "B0290F (Interpolation and function approximation);
                 C4130 (Interpolation and function approximation); C6120
                 (File organisation)",
  corpsource =   "Div. of Eng. Phys. and Math., Oak Ridge, Nat. Lab.,
                 TN, USA",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "data structure; data structures; large sparse least
                 squares problems; least squares approximations; local
                 acceptability; matrix factor; row-ordering; sequential
                 processing; symbolic Givens reduction",
  onlinedate =   "May 1987",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  treatment =    "T Theoretical or Mathematical",
  ZBmath =       "4001321",
}

@TechReport{Pothen:1987:DOF,
  author =       "A. Pothen and P. Raghavan",
  title =        "Distributed Orthogonal Factorization: {Givens} and
                 {Householder} Algorithms",
  number =       "CS-87-24",
  institution =  "Department of Computer Science, Pennsylvania State
                 University",
  address =      "State College, PA, USA",
  year =         "1987",
  bibdate =      "Sat Dec 22 07:24:07 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib",
  acknowledgement = ack-nhfb,
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Bernstein:1988:OGA,
  author =       "Herbert J. Bernstein and Max Goldstein",
  title =        "Optimizing {Givens}' Algorithm for Multiprocessors",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "9",
  number =       "3",
  pages =        "601--602",
  month =        may,
  year =         "1988",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0909039",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  MRclass =      "65F15 (65W05)",
  MRnumber =     "89b:65090",
  MRreviewer =   "I. Norman Katz",
  bibdate =      "Mon Mar 31 10:00:04 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  acknowledgement = ack-nhfb,
  classification = "C4290 (Other computer theory)",
  corpsource =   "Courant Inst. of Math. Sci., New York Univ., NY, USA",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "bisection algorithm; eigenvalues; eigenvalues and
                 eigenfunctions; Givens algorithms optimisation; linear
                 interpolation; multiprocessors; parallel algorithms;
                 secant method; symmetric tridiagonal eigenvalue
                 problem",
  onlinedate =   "May 1988",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  treatment =    "P Practical; T Theoretical or Mathematical",
}

@Article{Cosnard:1988:SGF,
  author =       "Michel Cosnard and Yves Robert",
  title =        "Systolic {Givens} factorization of dense rectangular
                 matrices",
  journal =      j-INT-J-COMPUT-MATH,
  volume =       "25",
  number =       "3-4",
  pages =        "287--298",
  year =         "1988",
  CODEN =        "IJCMAT",
  DOI =          "https://doi.org/10.1080/00207168808803674",
  ISSN =         "0020-7160",
  ISSN-L =       "0020-7160",
  MRclass =      "65F05 65F20 65Y05",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "0661.65031",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal of Computer Mathematics",
  journal-URL =  "http://www.tandfonline.com/loi/gcom20",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "4080754",
}

@InProceedings{Dittrich:1988:GRI,
  author =       "Andreas Dittrich and Hartmut Schmeck",
  editor =       "????",
  booktitle =    "Parallel processing by cellular automata and arrays,
                 {Proceedings of the 4th International Workshop,
                 Parcella, Berlin 1988, Math. Res.}",
  title =        "{Givens}' rotation on an instruction systolic array",
  volume =       "342",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "340--346",
  year =         "1988",
  MRclass =      "65F25 65F05 68N25 68Q25",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  series =       ser-LNCS,
  ZMnumber =     "0694.65016",
  acknowledgement = ack-nhfb,
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  xxvolume =     "48",
  ZBmath =       "4137242",
}

@TechReport{Dohler:1988:SGR,
  author =       "Raimund D{\"o}hler",
  title =        "Squared {Givens} rotation",
  type =         "Preprint",
  number =       "69",
  institution =  "Sekt. Math., TU Karl-Marx-Stadt",
  address =      "Karl-Marx-Stadt, East Germany",
  pages =        "15",
  year =         "1988",
  MRclass =      "65F05 65F30 15A23",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "0646.65026",
  acknowledgement = ack-nhfb,
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "4054913",
}

@InProceedings{Duato:1988:PPS,
  author =       "J. Duato",
  editor =       "Enzo Chiricozzi and Arnaldo DAmico",
  booktitle =    "Parallel processing and applications, {Proceedings of
                 the International Conference, L'Aquila, Italy, 23--25
                 September 1987}",
  title =        "Parallel processing of the square root free {Givens}
                 rotations by means of a transputer network",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  bookpages =    "xviii + 494",
  pages =        "257--264",
  year =         "1988",
  ISBN =         "0-444-70412-4",
  ISBN-13 =      "978-0-444-70412-2",
  LCCN =         "QA76.5 .I546 1987",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "0646.65028",
  acknowledgement = ack-nhfb,
  keywords =     "65F05,65Y05",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "4054915",
}

@Article{Ji:1988:OIH,
  author =       "Xingzhi Ji",
  title =        "Overcoming the interruption in {HR} iteration and fast
                 pseudo-{Givens} transformations",
  journal =      "Journal of Fudan University. Natural Science",
  volume =       "27",
  number =       "2",
  pages =        "149--152",
  year =         "1988",
  ISSN =         "0427-7104",
  MRclass =      "65F15 65F25",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "0692.65016",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Fudan Univ., Nat. Sci.",
  fjournal =     "Journal of Fudan University. Natural Science",
  language =     "Chinese",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "4133400",
}

@Article{Louter-Nool:1988:ATA,
  author =       "Margreet Louter-Nool",
  title =        "{Algorithm 663}: Translation of {Algorithm} 539:
                 {Basic Linear Algebra Subprograms} for {FORTRAN} Usage
                 in {FORTRAN} 200 for the {Cyber} 205",
  journal =      j-TOMS,
  volume =       "14",
  number =       "2",
  pages =        "177--195",
  month =        jun,
  year =         "1988",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/45054.45058",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Mon Sep 05 23:08:05 1994",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  note =         "See
                 \cite{Lawson:1979:ABL,Dodson:1982:RBL,Dodson:1983:CRB,Hanson:1987:ATA}.",
  URL =          "http://www.acm.org/pubs/citations/journals/toms/1988-14-2/p177-louter-nool/",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  keywords =     "algorithms; measurement; performance",
  review =       "ACM CR 8904-0243",
  subject =      "{\bf G.1.3}: Mathematics of Computing, NUMERICAL
                 ANALYSIS, Numerical Linear Algebra. {\bf G.4}:
                 Mathematics of Computing, MATHEMATICAL SOFTWARE,
                 Efficiency. {\bf D.3.2}: Software, PROGRAMMING
                 LANGUAGES, Language Classifications, FORTRAN.",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Xie:1988:AFG,
  author =       "Yicheng Xie",
  title =        "Application of fast {Givens} transformation in
                 recursively estimating the parameters by least
                 squares",
  journal =      "Journal of Nanjing Aeronautical Institute",
  volume =       "20",
  number =       "3",
  pages =        "70--74",
  year =         "1988",
  ISSN =         "1000-1956",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "0746.65107",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Nanjing Aeronaut. Inst.",
  fjournal =     "Journal of Nanjing Aeronautical Institute",
  keywords =     "65C99,65F25,62J05,65F20",
  language =     "Chinese",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "54566",
}

@Article{Xu:1988:FGT,
  author =       "Lan Xu",
  title =        "A fast {Givens} transformation for a complex matrix",
  journal =      "Journal of East China Normal University. Natural
                 Science Edition",
  volume =       "1988",
  number =       "3",
  pages =        "15--21",
  year =         "1988",
  ISSN =         "1000-5641",
  MRclass =      "65F25 15A23",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "0702.65044",
  acknowledgement = ack-nhfb,
  ajournal =     "J. East China Norm. Univ., Nat. Sci. Ed.",
  fjournal =     "Journal of East China Normal University. Natural
                 Science Edition",
  language =     "Chinese",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "4151731",
}

@InProceedings{Cosnard:1989:CPG,
  author =       "M. Cosnard and E. M. Daoudi and Y. Robert",
  editor =       "Hristo Djidjev",
  booktitle =    "Optimal algorithms, {Proceedings of the International
                 Symposium, Varna, Bulgaria 1989}",
  title =        "Complexity of the parallel {Givens} factorization on
                 shared memory architectures",
  volume =       "401",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "86--105",
  year =         "1989",
  ISBN =         "0-387-51859-2",
  ISBN-13 =      "978-0-387-51859-6",
  MRclass =      "68Q25 68M01 65Y05 65Y10",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  series =       ser-LNCS,
  ZMnumber =     "0704.68054",
  acknowledgement = ack-nhfb,
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "4155892",
}

@InProceedings{Dittrich:1989:GRI,
  author =       "Andreas Dittrich and Hartmut Schmeck",
  editor =       "Gottfried Wolf and Tam{\'a}as Legendi and Udo
                 Schendel",
  booktitle =    "Proceedings / {Parcella 1988: Fourth International
                 Workshop on Parallel Processing by Cellular Automata
                 and Arrays, Berlin, GDR, October 17--21, 1988}",
  title =        "{Given}'s rotation on an instruction systolic array",
  volume =       "342",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "340--346",
  year =         "1989",
  DOI =          "https://doi.org/10.1007/3-540-50647-0_127",
  ISBN =         "3-540-50647-0",
  ISBN-13 =      "978-3-540-50647-8",
  MRclass =      "65F30 (65-04)",
  MRnumber =     "1008028",
  bibdate =      "Tue Oct 24 06:22:34 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  series =       "Lecture Notes in Comput. Sci.",
  acknowledgement = ack-nhfb,
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@TechReport{Dohler:1989:SCS,
  author =       "Raimund D{\"o}hler",
  title =        "Statistical computations by squared {Givens}
                 rotation",
  type =         "Preprint",
  number =       "16",
  institution =  "Sekt. Math., TU Karl-Marx-Stadt",
  address =      "Karl-Marx-Stadt, East Germany",
  pages =        "16",
  year =         "1989",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "0682.62038",
  acknowledgement = ack-nhfb,
  keywords =     "62H99,65C99",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "4117677",
}

@Article{Pothen:1989:DOF,
  author =       "Alex Pothen and Padma Raghavan",
  title =        "Distributed orthogonal factorization: {Givens} and
                 {Householder} algorithms",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "10",
  number =       "6",
  pages =        "1113--1134",
  month =        nov,
  year =         "1989",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0910067",
  ISSN =         "0196-5204 (print), 2168-3417 (electronic)",
  ISSN-L =       "0196-5204",
  MRclass =      "65F30",
  MRnumber =     "1025478 (90j:65064)",
  bibdate =      "Fri Dec 7 06:57:26 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  ZMnumber =     "0693.65031",
  acknowledgement = ack-nhfb,
  classification = "C4240 (Programming and algorithm theory)",
  corpsource =   "Dept. of Comput. Sci., Pennsylvania State Univ.,
                 University Park, PA, USA",
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  keywords =     "algorithms; arithmetic complexity; communication
                 complexities; computational complexity; distributed
                 memory multiprocessors; distributed processing; Givens
                 rotations; Householder transformations; iPSC-286;
                 orthogonal factorization; sequential arithmetic terms",
  onlinedate =   "November 1989",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  treatment =    "T Theoretical or Mathematical",
  ZBmath =       "4135310",
}

@Article{Li:1990:ETM,
  author =       "Baoxin Li and A. G. Law and H. Raafat and P. H. Nguyen
                 and Y.-F. Yan",
  title =        "Eigenvalues of tridiagonal matrices: an alternative to
                 {Givens}' method",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "19",
  number =       "4",
  pages =        "89--94",
  month =        "????",
  year =         "1990",
  CODEN =        "CMAPDK",
  DOI =          "https://doi.org/10.1016/0898-1221(90)90140-F",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  MRclass =      "65F15",
  bibdate =      "Wed Mar 1 19:01:18 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/089812219090140F",
  ZMnumber =     "0703.65021",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "4153779",
}

@Article{Dohler:1991:SGR,
  author =       "R. D{\"o}hler",
  title =        "Squared {Givens} rotation",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "11",
  number =       "1",
  pages =        "1--5",
  year =         "1991",
  CODEN =        "IJNADH",
  DOI =          "https://doi.org/10.1093/imanum/11.1.1",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  MRclass =      "65F05 (15A21) 65F25",
  MRnumber =     "91m:65079 (1089544)",
  bibdate =      "Tue Oct 24 06:22:34 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib;
                 MathSciNet database",
  ZMnumber =     "0713.65020",
  acknowledgement = ack-nhfb,
  fjournal =     "IMA Journal of Numerical Analysis",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "4174222",
}

@Article{Genz:1991:FGG,
  author =       "Alan Genz and Zongli Lin and Charles Jones and Dali
                 Luo and Thorsten Prenzel",
  title =        "Fast {Givens} Goes Slow in {MATLAB}",
  journal =      j-SIGNUM,
  volume =       "26",
  number =       "2",
  pages =        "11--16",
  month =        apr,
  year =         "1991",
  CODEN =        "SNEWD6",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  ISSN-L =       "0163-5778",
  bibdate =      "Tue Apr 12 07:50:20 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 https://www.math.utah.edu/pub/tex/bib/signum.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM SIGNUM Newsletter",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J690",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Golub:1991:DJW,
  author =       "G. Golub and B. Parlett",
  title =        "Dedication to {J. Wallace Givens}",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "12",
  number =       "1",
  pages =        "U1--U1",
  month =        jan,
  year =         "1991",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Thu Jun 6 10:13:11 MDT 2013",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib",
  acknowledgement = ack-nhfb,
  author-dates = "Gene Howard Golub (February 29, 1932--November 16,
                 2007)",
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Gotze:1991:SRD,
  author =       "J. G{\"o}tze and U. Schwiegelshohn",
  title =        "A Square Root and Division Free {Givens} Rotation for
                 Solving Least Squares Problems on Systolic Arrays",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "12",
  number =       "4",
  pages =        "800--807",
  month =        jul,
  year =         "1991",
  CODEN =        "SIJCD4",
  DOI =          "https://doi.org/10.1137/0912042",
  ISSN =         "0196-5204",
  ISSN-L =       "0196-5204",
  MRclass =      "65F20 (65F25) 68Q80 68W35",
  MRnumber =     "92a:65125 (1102408)",
  bibdate =      "Tue Oct 24 06:22:34 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
  ZMnumber =     "0731.65028",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sijcd4",
  onlinedate =   "July 1991",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "4209455",
}

@Article{Yubi:1991:TST,
  author =       "{\`E}val{\cprime}d Yubi",
  title =        "Transformation of the simplex tableau by {Givens}
                 rotations",
  journal =      "Eesti NSV Teaduste Akadeemia Toimetised.
                 F{\"u}{\"u}sika-Matemaatika. Izvestiya Akademii Nauk
                 \`Estonsko\u{\i} SSR. Seriya Fizika-Matematika",
  volume =       "40",
  number =       "2",
  pages =        "75--79",
  year =         "1991",
  ISSN =         "0367-1429",
  MRclass =      "65K05 90C05",
  MRnumber =     "1162195",
  bibdate =      "Tue Oct 24 06:22:34 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "0788.90052",
  acknowledgement = ack-nhfb,
  ajournal =     "Eesti NSV Tead. Akad. Toimetised F{\"u}{\"u}s.-Mat.",
  fjournal =     "Eesti NSV Teaduste Akadeemia Toimetised.
                 F{\"u}{\"u}sika-Matemaatika. Izvestiya Akademii Nauk
                 \`Estonsko\u{\i} SSR. Seriya Fizika-Matematika",
  language =     "Russian",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "512546",
}

@Misc{Anonymous:1993:JWG,
  author =       "Anonymous",
  title =        "{James Wallace Givens Jr. *36}",
  howpublished = "Princeton Alumni Weekly Web site",
  year =         "1993",
  bibdate =      "Mon Oct 23 16:46:04 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  URL =          "https://paw.princeton.edu/memorial/james-wallace-givens-jr-36",
  acknowledgement = ack-nhfb,
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Megson:1993:GBR,
  author =       "G. M. Megson",
  title =        "The {Givens--Batcher} reduction algorithm and matrix
                 triangularisation",
  journal =      j-INT-J-COMPUT-MATH,
  volume =       "47",
  number =       "3-4",
  pages =        "199--208",
  year =         "1993",
  CODEN =        "IJCMAT",
  DOI =          "https://doi.org/10.1080/00207169308804177",
  ISSN =         "0020-7160",
  ISSN-L =       "0020-7160",
  MRclass =      "65F05 68P10 68W35",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "0813.65064",
  acknowledgement = ack-nhfb,
  fjournal =     "International Journal of Computer Mathematics",
  journal-URL =  "http://www.tandfonline.com/loi/gcom20",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "723869",
}

@Article{Cosnard:1994:OAP,
  author =       "Michel Cosnard and El Mostafa Daoudi",
  title =        "Optimal Algorithms for Parallel {Givens} Factorization
                 on a Coarse-Grained {PRAM}",
  journal =      j-J-ACM,
  volume =       "41",
  number =       "2",
  pages =        "399--421",
  month =        mar,
  year =         "1994",
  CODEN =        "JACOAH",
  DOI =          "https://doi.org/10.1145/174652.174660",
  ISSN =         "0004-5411 (print), 1557-735X (electronic)",
  ISSN-L =       "0004-5411",
  MRclass =      "65F05 65Y05 65F25 65Y20",
  bibdate =      "Sat Oct 22 23:17:20 1994",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/jacm.bib",
  URL =          "http://www.acm.org/pubs/toc/Abstracts/0004-5411/174660.html",
  ZMnumber =     "0802.65024",
  abstract =     "We study the complexity of the parallel Givens
                 factorization of a square matrix of size $n$ on a
                 shared memory architecture composed with p identical
                 processors (coarse grained EREW PRAM). We show how to
                 construct an asymptotically optimal algorithm. We
                 deduce that the time complexity is equal to:\par

                  $$ T_{\rm opt}(p) = n^2 / (2 p) + p + o(n) \qquad {\rm
                 for} \qquad 1 \leq p \leq n / (2 + \sqrt {2}) + o(n) $$
                 \par

                 and that the minimum number of processors in order to
                 compute the Givens factorization in asymptotically
                 optimal time $ (2 n + o(n))$ is equal to $ p_{\rm opt}
                 = n / (2 + \sqrt {2}) + o(n)$.\par

                 These results complete previous analysis presented in
                 the case where the number of processors is unlimited.",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Assoc. Comput. Mach.",
  fjournal =     "Journal of the Association for Computing Machinery",
  journal-URL =  "https://dl.acm.org/loi/jacm",
  keywords =     "algorithms; performance; theory",
  subject =      "{\bf F.2.1}: Theory of Computation, ANALYSIS OF
                 ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms
                 and Problems, Computations on matrices. {\bf G.1.3}:
                 Mathematics of Computing, NUMERICAL ANALYSIS, Numerical
                 Linear Algebra. {\bf F.1.1}: Theory of Computation,
                 COMPUTATION BY ABSTRACT DEVICES, Models of Computation,
                 Unbounded-action devices. {\bf F.1.2}: Theory of
                 Computation, COMPUTATION BY ABSTRACT DEVICES, Modes of
                 Computation, Parallelism and concurrency. {\bf G.1.0}:
                 Mathematics of Computing, NUMERICAL ANALYSIS, General,
                 Parallel algorithms.",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "598000",
}

@InProceedings{Olszanskyj:1994:CGR,
  author =       "Serge J. Olszanskyj and Adam W. Bojanczyk",
  booktitle =    "Applied linear algebra. {Proceedings of the 5th SIAM
                 conference, held in Snowbird, UT, USA, June 15-18,
                 1994}",
  title =        "Compact {Givens} representation of the orthogonal
                 factor in recursive least squares",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "255--259",
  year =         "1994",
  ISBN =         "0-89871-336-6",
  ISBN-13 =      "978-0-89871-336-7",
  MRclass =      "65F20 65F25",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "0819.65067",
  acknowledgement = ack-nhfb,
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "741148",
}

@Article{Pool:1993:JWG,
  author =       "James C. T. Pool",
  title =        "{James Wallace Givens, Jr.} (1910--1993)",
  journal =      j-SIAM-NEWS,
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  month =        jul,
  year =         "1993",
  ISSN =         "0036-1437",
  ISSN-L =       "0036-1437",
  bibdate =      "Tue Oct 24 09:18:01 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  note =         "Reprinted in \cite{Pool:1994:JWG}.",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM News",
  journal-URL =  "https://sinews.siam.org/",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Pool:1994:JWG,
  author =       "James C. T. Pool",
  title =        "{James Wallace Givens, Jr.} (1910--1993)",
  journal =      j-NAMS,
  volume =       "41",
  number =       "1",
  pages =        "29--30",
  month =        jan,
  year =         "1994",
  CODEN =        "AMNOAN",
  ISSN =         "0002-9920 (print), 1088-9477 (electronic)",
  ISSN-L =       "0002-9920",
  MRclass =      "01A70",
  MRnumber =     "1254636",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  note =         "Reprinted from \cite{Pool:1993:JWG}.",
  URL =          "https://www.ams.org/journals/notices/199401/",
  ZMnumber =     "1194.01124",
  acknowledgement = ack-nhfb,
  ajournal =     "Notices Am. Math. Soc.",
  fjournal =     "Notices of the American Mathematical Society",
  keywords =     "01A70",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "5783653",
}

@Article{Rajasethupathy:1994:TRS,
  author =       "K. S. Rajasethupathy and Gwan-Ming Thio and S. K.
                 Dhall and S. Lakshmivarahan",
  title =        "Tridiagonalizing a Real Symmetric Matrix: a Parallel
                 Direct Approach Using {Givens}' Transformation",
  journal =      j-PARALLEL-ALGORITHMS-APPL,
  volume =       "2",
  number =       "4",
  pages =        "305--313",
  month =        "????",
  year =         "1994",
  CODEN =        "PAAPEC",
  DOI =          "https://doi.org/10.1080/10637199408915424",
  ISSN =         "1063-7192",
  MRclass =      "65F30 65Y05 65F05",
  bibdate =      "Fri Jul 11 06:45:41 MDT 2008",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/parallelalgorithmsappl.bib",
  URL =          "http://www.informaworld.com/smpp/content~content=a772397563",
  ZMnumber =     "0855.65040",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://www.tandfonline.com/loi/gpaa20",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "936899",
}

@Article{Gillespie:1995:OGR,
  author =       "M. I. Gillespie and D. D. Olesky",
  title =        "Ordering {Givens} Rotations for Sparse {$ Q R $}
                 Factorization",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "16",
  number =       "3",
  pages =        "1024--1041",
  month =        jul,
  year =         "1995",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S1064827593253343",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F50 (65F05) 65F25 68W30",
  MRnumber =     "96h:65069 (1337660)",
  MRreviewer =   "Olexander S. Babanin",
  bibdate =      "Tue Oct 24 06:22:34 2023",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/16/3;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/25334",
  ZMnumber =     "0831.65045",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "785266",
}

@Article{Zheng:1995:CEA,
  author =       "Huirao Zheng and Xiao Hu and Yunlan Fang",
  title =        "A column eliminating-ahead parallel algorithm for
                 {Givens} orthogonal triangularization",
  journal =      "Journal of Wuhan University. Natural Science Edition",
  volume =       "41",
  number =       "3",
  pages =        "299--304",
  year =         "1995",
  ISSN =         "1671-8836",
  MRclass =      "65F25 65Y05",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "0857.65045",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Wuhan Univ., Nat. Sci. Ed.",
  fjournal =     "Journal of Wuhan University. Natural Science Edition",
  language =     "Chinese",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "857681",
}

@Article{Zheng:1995:ICE,
  author =       "Huirao Zheng and Xiao Hu and Yunlan Fang",
  title =        "Implementation of the column eliminating-ahead
                 parallel algorithm for {Givens} orthogonal reduction",
  journal =      "Journal of Wuhan University. Natural Science Edition",
  volume =       "41",
  number =       "5",
  pages =        "569--574",
  year =         "1995",
  ISSN =         "1671-8836",
  MRclass =      "65F05 65F25 65Y05",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "0844.65017",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Wuhan Univ., Nat. Sci. Ed.",
  fjournal =     "Journal of Wuhan University. Natural Science Edition",
  language =     "Chinese",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "883313",
}

@Article{Papay:1996:PGL,
  author =       "J. Papay and M. J. Zemerly and G. R. Nudd",
  title =        "Pipelining the {Givens} linear solver on distributed
                 memory machines",
  journal =      j-SUPERCOMPUTER,
  volume =       "12",
  number =       "3",
  pages =        "37--43",
  month =        aug,
  year =         "1996",
  CODEN =        "SPCOEL",
  ISSN =         "0168-7875",
  bibdate =      "Wed Mar 18 08:37:01 MST 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  acknowledgement = ack-nhfb,
  classification = "C4140 (Linear algebra); C5220P (Parallel
                 architecture)C5440 (Multiprocessing systems); C7310
                 (Mathematics computing)",
  corpsource =   "Dept. of Comput. Sci., Warwick Univ., Coventry, UK",
  keywords =     "128-processor T800 Parsytec SuperCluster; algorithm
                 design technique; distributed memory machines;
                 distributed memory parallel computer; distributed
                 memory systems; Givens linear solver; linear algebra;
                 linear solver; mathematics computing; neighbouring
                 processors; optimized broadcast; pipeline processing;
                 pipelining; point-to-point communications; sequential
                 code",
  pubcountry =   "Netherlands",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  treatment =    "A Application; P Practical",
}

@Article{Hong:1997:GRB,
  author =       "X. Hong and S. A. Billings",
  title =        "{Givens} rotation based fast backward elimination
                 algorithm for {RBF} neural network pruning",
  journal =      "IEE Proceedings. Control Theory and Applications",
  volume =       "144",
  number =       "5",
  pages =        "381--384",
  year =         "1997",
  DOI =          "https://doi.org/10.1049/ip-cta:19971436",
  ISSN =         "1350-2379",
  MRclass =      "93B40 92B20 93A30",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  URL =          "eprints.whiterose.ac.uk/80893/1/acse%20research%20report%20643.pdf",
  ZMnumber =     "0885.93025",
  acknowledgement = ack-nhfb,
  ajournal =     "IEE Proc., Control Theory Appl.",
  fjournal =     "IEE Proceedings. Control Theory and Applications",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "1093066",
}

@Article{Hopkins:1997:RBL,
  author =       "Tim Hopkins",
  title =        "Restructuring the {BLAS Level 1} Routine For Computing
                 the Modified {Givens} Transformation",
  journal =      j-SIGNUM,
  volume =       "32",
  number =       "4",
  pages =        "2--14",
  month =        oct,
  year =         "1997",
  CODEN =        "SNEWD6",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  ISSN-L =       "0163-5778",
  bibdate =      "Tue Apr 12 07:50:29 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/signum.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM SIGNUM Newsletter",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J690",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Liang:1997:HAG,
  author =       "Chuanguang Liang and Xiaozhu Chen and Liwei Zhang",
  title =        "On {Huang}'s algorithm and {Givens}' transformation",
  journal =      "Journal of Mathematical Research \& Exposition",
  volume =       "17",
  number =       "2",
  pages =        "287--291",
  year =         "1997",
  ISSN =         "1000-341X",
  MRclass =      "90C30",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "0887.90158",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Math. Res. Expo.",
  fjournal =     "Journal of Mathematical Research \& Exposition",
  language =     "Chinese",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "1094070",
}

@Article{Stewart:1997:GTM,
  author =       "D. E. Stewart",
  title =        "A Graph-Theoretic Model of Symmetric {Givens}
                 Operations and Its Implications",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "257",
  number =       "1--3",
  pages =        "311--320",
  day =          "??",
  month =        may,
  year =         "1997",
  CODEN =        "LAAPAW",
  DOI =          "https://doi.org/10.1016/S0024-3795(96)00157-7",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "65F30 (05C50 15A21); 65Fxx (05C50 15-XX); 65F25",
  MRnumber =     "97m:65089; 1 441 718",
  bibdate =      "Fri May 28 11:36:42 MDT 1999",
  bibsource =    "http://www.elsevier.com/locate/laa;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/linala1990.bib",
  URL =          "http://www.elsevier.com/cgi-bin/cas/tree/store/laa/cas_sub/browse/browse.cgi?year=1997&volume=257&issue=1-3&aid=9600157",
  ZMnumber =     "0893.65025",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795/",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "1011332",
}

@InBook{Brookner:1998:GOT,
  author =       "Eli Brookner",
  booktitle =    "Tracking and {Kalman} Filtering Made Easy",
  title =        "{Givens} Orthonormal Transformation",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "283--314",
  month =        apr,
  year =         "1998",
  DOI =          "https://doi.org/10.1002/0471224197.ch11",
  ISBN =         "0-471-18407-1 (print), 0-471-22419-7 (e-book)",
  ISBN-13 =      "978-0-471-18407-2, 978-0-471-22419-8 (e-book)",
  bibdate =      "Tue Oct 24 06:38:13 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  acknowledgement = ack-nhfb,
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Delmas:1998:PAG,
  author =       "Jean-Pierre Delmas",
  title =        "Performances analysis of a {Givens} parametrized
                 adaptive eigenspace algorithm",
  journal =      "Signal Processing",
  volume =       "68",
  number =       "1",
  pages =        "87--105",
  year =         "1998",
  DOI =          "https://doi.org/10.1016/S0165-1684(98)00059-0",
  ISSN =         "0165-1684 (print), 1872-7557 (electronic)",
  MRclass =      "93B40 93B60",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "0909.93022",
  acknowledgement = ack-nhfb,
  ajournal =     "Signal Process.",
  fjournal =     "Signal Processing",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "1238662",
}

@Article{Murthy:1998:NAB,
  author =       "K. N. Balasubramanya Murthy and K. Bhuvaneswari and C.
                 Siva Ram Murthy",
  title =        "A New Algorithm Based on {Givens} Rotations for
                 Solving Linear Equations on Fault-Tolerant
                 Mesh-Connected Processors",
  journal =      j-IEEE-TRANS-PAR-DIST-SYS,
  volume =       "9",
  number =       "8",
  pages =        "825--??",
  month =        aug,
  year =         "1998",
  CODEN =        "ITDSEO",
  ISSN =         "1045-9219 (print), 1558-2183 (electronic)",
  ISSN-L =       "1045-9219",
  bibdate =      "Fri Nov 6 12:31:15 MST 1998",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/ieeetranspardistsys.bib",
  URL =          "http://dlib.computer.org/td/books/td1998/pdf/l0825.pdf;
                 http://www.computer.org/tpds/td1998/l0825abs.htm",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Parallel and Distributed
                 Systems",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=71",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Carrig:1999:POC,
  author =       "James J. {Carrig, Jr.} and Gerard G. L. Meyer",
  title =        "A parameterized ordering for cache-, register- and
                 pipeline-efficient {Givens} {$ Q R $} decomposition",
  journal =      j-ADV-COMPUT-MATH,
  volume =       "10",
  number =       "1",
  pages =        "97--113",
  month =        jan,
  year =         "1999",
  CODEN =        "ACMHEX",
  DOI =          "https://doi.org/10.1023/A:1018970413988",
  ISSN =         "1019-7168 (print), 1572-9044 (electronic)",
  ISSN-L =       "1019-7168",
  MRclass =      "65F05 (65Y10) 65F25",
  MRnumber =     "1671879",
  bibdate =      "Sat Feb 3 18:21:57 MST 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/advcomputmath.bib",
  URL =          "http://link.springer.com/article/10.1023/A:1018970413988",
  ZMnumber =     "0919.65029",
  acknowledgement = ack-nhfb,
  articleno =    "97",
  fjournal =     "Advances in Computational Mathematics",
  journal-URL =  "http://link.springer.com/journal/10444",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "1271706",
}

@Article{Pango:1999:EUG,
  author =       "Philippe Pango and Beno{\^{\i}}t Champagne",
  title =        "On the efficient use of {Givens} rotations in
                 {SVD}-based subspace tracking algorithms",
  journal =      "Signal Processing",
  volume =       "74",
  number =       "3",
  pages =        "253--277",
  year =         "1999",
  DOI =          "https://doi.org/10.1016/S0165-1684(98)00215-1",
  ISSN =         "0165-1684 (print), 1872-7557 (electronic)",
  MRclass =      "94A12",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "1098.94574",
  acknowledgement = ack-nhfb,
  ajournal =     "Signal Process.",
  fjournal =     "Signal Processing",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "1306207",
}

@TechReport{Bindel:2000:CGR,
  author =       "D. Bindel and J. Demmel and W. Kahan and O. Marques",
  title =        "On Computing {Givens} rotations reliably and
                 efficiently",
  type =         "LAPACK Working Note",
  number =       "148",
  institution =  inst-UTK-CS,
  address =      inst-UTK-CS:adr,
  month =        oct,
  year =         "2000",
  bibdate =      "Fri Apr 22 17:06:37 2005",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/lawn.bib",
  note =         "UT-CS-00-449, October 2000. Published in
                 \cite{Bindel:2002:CGR}.",
  URL =          "http://www.netlib.org/lapack/lawns/lawn148.ps;
                 http://www.netlib.org/lapack/lawnspdf/lawn148.pdf",
  acknowledgement = ack-nhfb,
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Dieci:2000:OIB,
  author =       "Luca Dieci and Erik S. {Van Vleck}",
  title =        "Orthonormal integrators based on {Householder} and
                 {Givens} transformations",
  journal =      "arxiv.org",
  volume =       "??",
  number =       "??",
  pages =        "1--25",
  day =          "2",
  month =        dec,
  year =         "2000",
  bibdate =      "Fri Dec 21 10:15:18 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib",
  URL =          "https://arxiv.org/abs/math/0012007",
  abstract =     "We carry further our work [DV2] on orthonormal
                 integrators based on Householder and Givens
                 transformations. We propose new algorithms and pay
                 particular attention to appropriate implementation of
                 these techniques. We also present a suite of Fortran
                 codes and provide numerical testing to show the
                 efficiency and accuracy of our techniques.",
  acknowledgement = ack-nhfb,
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Kontoghiorghes:2000:PGS,
  author =       "Erricos John Kontoghiorghes",
  title =        "Parallel {Givens} sequences for solving the general
                 linear model on a {EREW PRAM}",
  journal =      j-PARALLEL-ALGORITHMS-APPL,
  volume =       "15",
  number =       "1--2",
  pages =        "57--75",
  month =        "????",
  year =         "2000",
  CODEN =        "PAAPEC",
  DOI =          "https://doi.org/10.1080/01495730008947350",
  ISSN =         "1063-7192",
  MRclass =      "91B28 (65Y05)",
  MRnumber =     "MR1799570",
  bibdate =      "Fri Jul 11 06:45:44 MDT 2008",
  bibsource =    "http://www.gbhap-us.com/journals/728/728-top.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/parallelalgorithmsappl.bib;
                 MathSciNet database",
  note =         "Interface of parallel computing and statistics,
                 economics, finance and optimization.",
  URL =          "http://www.informaworld.com/smpp/content~content=a776636257",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://www.tandfonline.com/loi/gpaa20",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Yan:2001:ASS,
  author =       "Qing You Yan and Zhong Xiao Jia",
  title =        "The algorithm of special symplectic {Householder}
                 transformations and symplectic {Givens}
                 transformations",
  journal =      "J. Dalian Univ. Technol.",
  volume =       "41",
  number =       "4",
  pages =        "399--404",
  year =         "2001",
  ISSN =         "1000-8608",
  ISSN-L =       "1000-8608",
  MRclass =      "65F25 65F30",
  MRnumber =     "1852592",
  bibdate =      "Fri Dec 7 06:57:26 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib",
  ZMnumber =     "0986.65045",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Dalian University of Technology. Dalian
                 Ligong Daxue Xuebao",
  language =     "Chinese",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "1690390",
}

@Article{Bindel:2002:CGR,
  author =       "David Bindel and James Demmel and William Kahan and
                 Osni Marques",
  title =        "On computing {Givens} rotations reliably and
                 efficiently",
  journal =      j-TOMS,
  volume =       "28",
  number =       "2",
  pages =        "206--238",
  month =        jun,
  year =         "2002",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/567806.567809",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65F15 (65-04) 65Y15 65Y20",
  MRnumber =     "MR1928067 (2003h:65046)",
  bibdate =      "Tue Oct 24 06:22:34 2023",
  bibsource =    "http://www.acm.org/pubs/contents/journals/toms/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/lawn.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  note =         "See original LAPACK Working note in
                 \cite{Bindel:2000:CGR}.",
  ZMnumber =     "1072.65048",
  abstract =     "We consider the efficient and accurate computation of
                 Givens rotations. When $f$ and $g$ are positive real
                 numbers, this simply amounts to computing the values of
                 $ c = f / \sqrt {f^2 + g^2} $, $ s = g / \sqrt {f^2 +
                 g^2} $, and $ r = \sqrt {f^2 + g^2} $. This apparently
                 trivial computation merits closer consideration for the
                 following three reasons. First, while the definitions
                 of $c$, $s$ and $r$ seem obvious in the case of two
                 nonnegative arguments $f$ and $g$, there is enough
                 freedom of choice when one or more of $f$ and $g$ are
                 negative, zero or complex that LAPACK auxiliary
                 routines SLARTG, CLARTG, SLARGV and CLARGV can compute
                 rather different values of $c$, $s$ and $r$ for
                 mathematically identical values of $f$ and $g$. To
                 eliminate this unnecessary ambiguity, the BLAS
                 Technical Forum chose a single consistent definition of
                 Givens rotations that we will justify here. Second,
                 computing accurate values of $c$, $s$ and $r$ as
                 efficiently as possible and reliably despite
                 over/underflow is surprisingly complicated. For complex
                 Givens rotations, the most efficient formulas require
                 only one real square root and one real divide (as well
                 as several much cheaper additions and multiplications),
                 but a reliable implementation using only working
                 precision has a number of cases. On a Sun Ultra-10, the
                 new implementation is slightly faster than the previous
                 LAPACK implementation in the most common case, and 2.7
                 to 4.6 times faster than the corresponding vendor,
                 reference or ATLAS routines. It is also more reliable;
                 all previous codes occasionally suffer from large
                 inaccuracies due to over/underflow. For real Givens
                 rotations there are also improvements in speed and
                 accuracy, though not as striking. Third, the design
                 process that led to this reliable implementation is
                 quite systematic, and could be applied to the design of
                 similarly reliable subroutines.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "https://dl.acm.org/loi/toms",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "2188016",
}

@Article{Kontoghiorghes:2002:GGA,
  author =       "Erricos John Kontoghiorghes",
  title =        "Greedy {Givens} algorithms for computing the rank-$k$
                 updating of the {$ Q R $} decomposition",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "28",
  number =       "9",
  pages =        "1257--1273",
  month =        sep,
  year =         "2002",
  CODEN =        "PACOEJ",
  DOI =          "https://doi.org/10.1016/S0167-8191(02)00132-1",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  MRclass =      "68W05",
  bibdate =      "Wed Oct 23 16:25:12 MDT 2002",
  bibsource =    "http://www.elsevier.com/locate/issn/01678191;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
  URL =          "http://www.elsevier.com/gej-ng/10/35/21/60/59/30/abstract.html",
  ZMnumber =     "1004.68204",
  acknowledgement = ack-nhfb,
  fjournal =     "Parallel Computing",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "1797863",
}

@TechReport{Papadopoulos:2002:IOF,
  author =       "A. T. Papadopoulos and I. S. Duff and A. J. Wathen",
  title =        "Incomplete orthogonal factorization methods using
                 {Givens} rotations {II}: implementation and results",
  type =         "Report",
  number =       "RAL-TR-2002-019 and NA-02-07",
  institution =  inst-RAL # " and Oxford University Computing Services",
  address =      inst-RAL:adr # " and Oxford, Oxon, UK",
  pages =        "????",
  month =        "????",
  year =         "2002",
  bibdate =      "Mon Jan 02 10:50:49 2006",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  note =         "To appear in BIT.",
  URL =          "http://epubs.cclrc.ac.uk/bitstream/290/raltr-2002019.pdf",
  acknowledgement = ack-nhfb,
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Sergyienko:2002:IGQ,
  author =       "Anatoli Sergyienko and Oleg Maslennikov",
  booktitle =    "Parallel processing and applied mathematics. 4th
                 international conference, {PPAM 2001}, Na cz{\'o}w,
                 Poland, September 9--12, 2001. Revised papers",
  title =        "Implementation of {Givens} {$ Q R $}-Decomposition in
                 {FPGA}",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "2328",
  pages =        "458--465",
  year =         "2002",
  CODEN =        "LNCSD9",
  ISBN =         "3-540-43792-4",
  ISBN-13 =      "978-3-540-43792-5",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  MRclass =      "65Y10 65F30",
  bibdate =      "Tue Sep 10 19:09:33 MDT 2002",
  bibsource =    "http://link.springer-ny.com/link/service/series/0558/tocs/t2328.htm;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/lncs2002a.bib",
  URL =          "http://link.springer-ny.com/link/service/series/0558/bibs/2328/23280458.htm;
                 http://link.springer-ny.com/link/service/series/0558/papers/2328/23280458.pdf",
  ZMnumber =     "1057.65525",
  acknowledgement = ack-nhfb,
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "2086818",
}

@Article{Dieci:2003:OIB,
  author =       "Luca Dieci and Erik S. {Van Vleck}",
  title =        "Orthonormal integrators based on {Householder} and
                 {Givens} transformations",
  journal =      j-FUT-GEN-COMP-SYS,
  volume =       "19",
  number =       "3",
  pages =        "363--373",
  month =        apr,
  year =         "2003",
  CODEN =        "FGSEVI",
  ISSN =         "0167-739X (print), 1872-7115 (electronic)",
  ISSN-L =       "0167-739X",
  bibdate =      "Sat Jan 10 10:03:32 MST 2004",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
                 https://www.math.utah.edu/pub/tex/bib/futgencompsys.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Future Generation Computer Systems",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0167739X",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Janovska:2003:GTA,
  author =       "D. Janovsk{\'a} and G. Opfer",
  title =        "{Givens}' transformation applied to quaternion valued
                 vectors",
  journal =      j-BIT-NUM-MATH,
  volume =       "43",
  number =       "5",
  pages =        "991--1002",
  month =        dec,
  year =         "2003",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1023/B:BITN.0000014561.58141.2c",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "15A90 (15A33) 65F25 65F30 15B33 15A04 12E15 68W30",
  MRnumber =     "MR2058880",
  MRreviewer =   "Carl Riehm",
  bibdate =      "Wed Jan 4 15:06:06 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=43&issue=5;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=43&issue=5&spage=991",
  ZMnumber =     "1052.65030",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT Numerical Mathematics",
  journal-URL =  "http://link.springer.com/journal/10543",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "2073442",
}

@Article{Hanson:2004:AAV,
  author =       "Richard J. Hanson and Tim Hopkins",
  title =        "{Algorithm 830}: {Another} visit with standard and
                 modified {Givens} transformations and a remark on
                 {Algorithm 539}",
  journal =      j-TOMS,
  volume =       "30",
  number =       "1",
  pages =        "86--94",
  month =        mar,
  year =         "2004",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/974781.974786",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65F25 (65-04) 65Y15",
  MRnumber =     "2076882 (2005b:65047)",
  bibdate =      "Mon Aug 23 19:21:05 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/hopkins-tim.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  note =         "See \cite{Lawson:1979:ABL}.",
  ZMnumber =     "1070.65533",
  abstract =     "First we report on a correction and improvement to the
                 Level 1 BLAS routine {\tt srotmg} for computing the
                 Modified Givens Transformation (MG). We then, in the
                 light of the performance of the code on modern
                 compiler\slash hardware combinations, reconsider the
                 strategy of supplying separate routines to compute and
                 apply the transformation. Finally, we show that the
                 apparent savings in multiplies obtained by using MG
                 rather than the Standard Givens Transformation (SG) do
                 not always translate into reductions in execution
                 time.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "https://dl.acm.org/loi/toms",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "2187975",
}

@InCollection{Janovska:2004:GRQ,
  author =       "Drahoslava Janovsk{\'a} and Gerhard Opfer",
  editor =       "????",
  booktitle =    "Numerical mathematics and advanced applications.
                 Proceedings of {ENUMATH 2003, the 5th European
                 conference on numerical mathematics and advanced
                 applications, Prague, Czech Republic, August 18--22,
                 2003}",
  title =        "{Givens}' reduction of quaternion-valued matrices to
                 upper {Hessenberg} form",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "510--520",
  year =         "2004",
  ISBN =         "3-540-21460-7",
  ISBN-13 =      "978-3-540-21460-1",
  MRclass =      "65F25 15B33",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "1056.65037",
  acknowledgement = ack-nhfb,
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "2110724",
}

@Article{Janovska:2005:FGT,
  author =       "Drahoslava Janovsk{\'a} and Gerhard Opfer",
  title =        "Fast {Givens} transformation for quaternion valued
                 matrices applied to {Hessenberg} reductions",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "20",
  pages =        "1--26",
  year =         "2005",
  CODEN =        "????",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  MRclass =      "65F25 65F35 15B33",
  bibdate =      "Mon Sep 6 12:28:29 MDT 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/etna.bib",
  URL =          "http://etna.mcs.kent.edu/vol.20.2005/pp1-26.dir/pp1-26.pdf",
  ZMnumber =     "1078.65033",
  acknowledgement = ack-nhfb,
  fjournal =     "ETNA. Electronic Transactions on Numerical Analysis",
  journal-URL =  "http://etna.mcs.kent.edu/",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "2206355",
}

@PhdThesis{Yood:2005:ANL,
  author =       "Charles Nelson Yood",
  title =        "{Argonne National Laboratory} and the Emergence of
                 Computer and Computational Science, 1946--1992",
  type =         "{Ph.D.} thesis",
  school =       "Department of History, The Pennsylvania State
                 University",
  address =      "University Park, State College, PA",
  pages =        "x + 356",
  month =        aug,
  year =         "2005",
  bibdate =      "Mon Oct 23 17:15:26 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  URL =          "https://www.proquest.com/pqdtglobal/docview/305420479",
  acknowledgement = ack-nhfb,
  advisor =      "Robert Proctor",
  remark =       "There are 60 mentions of Wallace Givens in this
                 document.",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Fournarakis:2006:GGA,
  author =       "Philippos Fournarakis and Jean Christianidis",
  title =        "{Greek} geometrical analysis: a new interpretation
                 through the ``{Givens}''-terminology",
  journal =      j-BOLL-STOR-SCI-MAT,
  volume =       "26",
  number =       "1",
  pages =        "33--56",
  year =         "2006",
  ISSN =         "0392-4432 (print), 1724-1650 (electronic)",
  ISSN-L =       "0392-4432",
  MRclass =      "01A20 00A30",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "1202.01021",
  acknowledgement = ack-nhfb,
  fjournal =     "Bollettino di Storia delle Scienze Matematiche",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "5830580",
}

@Article{Hofmann:2006:PGS,
  author =       "Marc Hofmann and Erricos John Kontoghiorghes",
  title =        "Pipeline {Givens} sequences for computing the {$ Q R
                 $} decomposition on a {EREW PRAM}",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "32",
  number =       "3",
  pages =        "222--230",
  month =        mar,
  year =         "2006",
  CODEN =        "PACOEJ",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  bibdate =      "Thu Sep 2 17:51:05 MDT 2010",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Parallel Computing",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191/",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Jones:2006:BRB,
  author =       "Galin L. Jones",
  title =        "Book Review: {{\booktitle{Computational Statistics}},
                 by Geof H. Givens; Jennifer A. Hoeting}",
  journal =      j-J-AM-STAT-ASSOC,
  volume =       "101",
  number =       "474",
  pages =        "856--857",
  month =        jun,
  year =         "2006",
  CODEN =        "JSTNAL",
  DOI =          "https://doi.org/10.1198/jasa.2006.s112",
  ISSN =         "0162-1459 (print), 1537-274X (electronic)",
  ISSN-L =       "0162-1459",
  bibdate =      "Wed Jan 25 08:06:33 MST 2012",
  bibsource =    "http://www.amstat.org/publications/jasa/;
                 http://www.jstor.org/journals/01621459.html;
                 http://www.jstor.org/stable/i27590703;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/jamstatassoc2000.bib",
  URL =          "http://www.jstor.org/stable/27590758",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of the American Statistical Association",
  journal-URL =  "http://www.tandfonline.com/loi/uasa20",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{deMoraes:2007:SOD,
  author =       "Rodolpho Vilhena de Moraes and Aurea Aparecida da
                 Silva and Helio Koiti Kuga",
  title =        "Simple orbit determination using {GPS} based on a
                 least-squares algorithm employing sequential {Givens}
                 rotations",
  journal =      "Math. Probl. Eng.",
  volume =       "2007",
  pages =        "8",
  year =         "2007",
  DOI =          "https://doi.org/10.1155/2007/49781",
  ISSN =         "1024-123X",
  MRclass =      "70-08 70M20 70F15",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  note =         "Id/No 49781",
  ZMnumber =     "1165.70002",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical Problems in Engineering",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "5371808",
}

@Article{Delvaux:2008:GWR,
  author =       "Steven Delvaux and Marc {Van Barel}",
  title =        "A {Givens}-Weight Representation for Rank Structured
                 Matrices",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "29",
  number =       "4",
  pages =        "1147--1170",
  month =        "????",
  year =         "2008",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/060654967",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F30 15A03",
  bibdate =      "Tue May 18 22:32:22 MDT 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toclist/SIMAX/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
  ZMnumber =     "1155.65033",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "5363079",
}

@Article{Bai:2009:MIO,
  author =       "Zhong-Zhi Bai and Jun-Feng Yin",
  title =        "Modified incomplete orthogonal factorization methods
                 using {Givens} rotations",
  journal =      j-COMPUTING,
  volume =       "86",
  number =       "1",
  pages =        "53--69",
  month =        sep,
  year =         "2009",
  CODEN =        "CMPTA2",
  DOI =          "https://doi.org/10.1007/s00607-009-0065-4",
  ISSN =         "0010-485X (print), 1436-5057 (electronic)",
  ISSN-L =       "0010-485X",
  MRclass =      "65F25 65F10 65F08 65F50",
  MRnumber =     "2545854",
  MRreviewer =   "Daniel Kressner",
  bibdate =      "Tue Oct 24 06:22:34 2023",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0010-485X&volume=86&issue=1;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/computing.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0010-485X&volume=86&issue=1&spage=53",
  ZMnumber =     "1176.65034",
  acknowledgement = ack-nhfb,
  fjournal =     "Computing. Archives for Scientific Computing",
  journal-URL =  "http://link.springer.com/journal/607",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "5627063",
}

@Article{Souloumiac:2009:NJD,
  author =       "Antoine Souloumiac",
  title =        "Nonorthogonal joint diagonalization by combining
                 {Givens} and hyperbolic rotations",
  journal =      j-IEEE-TRANS-SIG-PROC,
  volume =       "57",
  number =       "6",
  pages =        "2222--2231",
  year =         "2009",
  CODEN =        "ITPRED",
  DOI =          "https://doi.org/10.1109/TSP.2009.2016997",
  ISSN =         "1053-587X (print), 1941-0476 (electronic)",
  ISSN-L =       "1053-587X",
  ISSN-L =       "1053-587X",
  MRclass =      "15A23 (15B57 65F25 94A12)",
  MRnumber =     "2641819",
  MRreviewer =   "Dario Fasino",
  bibdate =      "Tue Oct 24 06:22:34 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "1391.15050",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Signal Processing",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "6899806",
}

@Article{Yin:2009:PGM,
  author =       "Jun-Feng Yin and Ken Hayami",
  title =        "Preconditioned {GMRES} methods with incomplete
                 {Givens} orthogonalization method for large sparse
                 least-squares problems",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "226",
  number =       "1",
  pages =        "177--186",
  day =          "1",
  month =        apr,
  year =         "2009",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/j.cam.2008.05.052",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "65F20 65F25 65F50 65F35",
  bibdate =      "Sat Feb 25 13:13:30 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0377042708002422",
  ZMnumber =     "1160.65313",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "5534922",
}

@Article{Rodriguez-Alvarez:2010:SGR,
  author =       "Mar{\'{\i}}a-Jos{\'e} Rodr{\'{\i}}guez-Alvarez and
                 Filomeno S{\'a}nchez and Antonio Soriano and Amadeo
                 Iborra",
  title =        "Sparse {Givens} resolution of large system of linear
                 equations: applications to image reconstruction",
  journal =      j-MATH-COMP-MODELLING,
  volume =       "52",
  number =       "7-8",
  pages =        "1258--1264",
  year =         "2010",
  CODEN =        "MCMOEG",
  DOI =          "https://doi.org/10.1016/j.mcm.2010.03.016",
  ISSN =         "0895-7177 (print), 1872-9479 (electronic)",
  ISSN-L =       "0895-7177",
  MRclass =      "65F05 94A08 92C55",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  URL =          "hdl.handle.net/10251/58006",
  ZMnumber =     "1205.65141",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical and Computer Modelling",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "5851088",
}

@Article{Acerbi:2011:LGF,
  author =       "Fabio Acerbi",
  title =        "The language of the ``{Givens}'': its forms and its
                 use as a deductive tool in {Greek} mathematics",
  journal =      j-ARCH-HIST-EXACT-SCI,
  volume =       "65",
  number =       "2",
  pages =        "119--153",
  year =         "2011",
  CODEN =        "AHESAN",
  DOI =          "https://doi.org/10.1007/s00407-010-0072-z",
  ISSN =         "0003-9519 (print), 1432-0657 (electronic)",
  ISSN-L =       "0003-9519",
  MRclass =      "01A20",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "1217.01004",
  acknowledgement = ack-nhfb,
  fjournal =     "Archive for History of Exact Sciences",
  journal-URL =  "http://link.springer.com/journal/407",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "5884592",
}

@Article{Biloti:2013:SNG,
  author =       "R. Biloti and L. C. Matioli and Jinyun Yuan",
  title =        "A short note on a generalization of the {Givens}
                 transformation",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "66",
  number =       "1",
  pages =        "56--61",
  month =        aug,
  year =         "2013",
  CODEN =        "CMAPDK",
  DOI =          "https://doi.org/10.1016/j.camwa.2013.04.016",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  MRclass =      "65F25 15A21 65F15 65F35",
  bibdate =      "Wed Mar 1 21:51:22 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl2010.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0898122113002228",
  ZMnumber =     "1391.65101",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "6601264",
}

@Article{Mesloub:2014:NAC,
  author =       "Ammar Mesloub and Karim Abed-Meraim and Adel
                 Belouchrani",
  title =        "A new algorithm for complex non-orthogonal joint
                 diagonalization based on {Shear} and {Givens}
                 rotations",
  journal =      j-IEEE-TRANS-SIG-PROC,
  volume =       "62",
  number =       "8",
  pages =        "1913--1925",
  year =         "2014",
  CODEN =        "ITPRED",
  DOI =          "https://doi.org/10.1109/TSP.2014.2303947",
  ISSN =         "1053-587X (print), 1941-0476 (electronic)",
  ISSN-L =       "1053-587X",
  ISSN-L =       "1053-587X",
  MRclass =      "94A12",
  MRnumber =     "3195187",
  bibdate =      "Tue Oct 24 06:22:34 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "1394.94391",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Signal Processing",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "6922470",
}

@InProceedings{Zhang:2014:DRA,
  author =       "Wen Zhang and Sanzheng Qiao and Yimin Wei",
  booktitle =    "Computer mathematics. {9th Asian symposium, ASCM 2009,
                 Fukuoka, Japan, December 14--17, 2009, 10th Asian
                 symposium, ASCM 2012, Beijing, China, October 26--28,
                 2012. Contributed papers and invited talks}",
  title =        "The diagonal reduction algorithm using fast {Givens}",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "453--465",
  year =         "2014",
  DOI =          "https://doi.org/10.1007/978-3-662-43799-5_30",
  ISBN =         "3-662-43798-8; 3-662-43799-6",
  ISBN-13 =      "978-3-662-43798-8; 978-3-662-43799-5",
  MRclass =      "68W30 94A13",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "1369.68362",
  acknowledgement = ack-nhfb,
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "6567247",
}

@Article{Venetis:2015:DTS,
  author =       "I. E. Venetis and A. Kouris and A. Sobczyk and E.
                 Gallopoulos and A. H. Sameh",
  title =        "A direct tridiagonal solver based on {Givens}
                 rotations for {GPU} architectures",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "49",
  number =       "??",
  pages =        "101--116",
  month =        nov,
  year =         "2015",
  CODEN =        "PACOEJ",
  DOI =          "https://doi.org/10.1016/j.parco.2015.03.008",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  MRclass =      "65Y10 (65F05 65F25)",
  MRnumber =     "3416350",
  bibdate =      "Tue Oct 24 06:22:34 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0167819115000605",
  acknowledgement = ack-nhfb,
  fjournal =     "Parallel Computing. Systems \& Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191/",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@InProceedings{Bilski:2016:AGR,
  author =       "Jaros{\l}aw Bilski and Bartosz Kowalczyk and Jacek M.
                 {\.Z}urada",
  booktitle =    "Artificial intelligence and soft computing. {15th
                 international conference, ICAISC 2016, Zakopane,
                 Poland, June 12--16, 2016. Proceedings. Part I}",
  title =        "Application of the {Givens} rotations in the neural
                 network learning algorithm",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "46--56",
  year =         "2016",
  DOI =          "https://doi.org/10.1007/978-3-319-39378-0_5",
  ISBN =         "3-319-39377-4; 3-319-39378-2",
  ISBN-13 =      "978-3-319-39377-3; 978-3-319-39378-0",
  MRclass =      "68T05",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "1358.68230",
  acknowledgement = ack-nhfb,
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "6595016",
}

@Article{Sharma:2016:DFT,
  author =       "Namita Sharma and Preeti Ranjan Panda and Francky
                 Catthoor and Min Li and Prashant Agrawal",
  title =        "Data Flow Transformation for Energy-Efficient
                 Implementation of {Givens} Rotation-Based {QRD}",
  journal =      j-TECS,
  volume =       "15",
  number =       "1",
  pages =        "18:1--18:??",
  month =        feb,
  year =         "2016",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1145/2837025",
  ISSN =         "1539-9087 (print), 1558-3465 (electronic)",
  ISSN-L =       "1539-9087",
  bibdate =      "Wed Jun 8 09:43:30 MDT 2016",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/tecs.bib",
  abstract =     "QR decomposition (QRD), a matrix decomposition
                 algorithm widely used in embedded application domain,
                 can be realized in a large number of valid processing
                 sequences that differ significantly in the number of
                 memory accesses and computations, and hence the overall
                 implementation energy. With modern low-power embedded
                 processors evolving toward register files with wide
                 memory interfaces and vector functional units (FUs),
                 data flow in these algorithms needs to be carefully
                 devised to efficiently utilize the costly wide memory
                 accesses and the vector FUs. In this article, we
                 present an energy-efficient data flow transformation
                 strategy for the Givens rotation-based QRD.",
  acknowledgement = ack-nhfb,
  ajournal =     "ACM Trans. Embed. Comput. Syst.",
  articleno =    "18",
  fjournal =     "ACM Transactions on Embedded Computing Systems",
  journal-URL =  "https://dl.acm.org/loi/tecs",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Wu:2016:STD,
  author =       "Jianwei Wu",
  title =        "Simple technique to determine the {Givens}-rotation
                 matrix in the two-source {ICA} problem for skewed
                 sources",
  journal =      j-ELECT-LETTERS,
  volume =       "52",
  number =       "8",
  pages =        "613--615",
  month =        apr,
  year =         "2016",
  CODEN =        "ELLEAK",
  DOI =          "https://doi.org/10.1049/el.2015.3137",
  ISSN =         "0013-5194 (print), 1350-911X (electronic)",
  ISSN-L =       "0013-5194",
  bibdate =      "Tue Oct 24 06:38:13 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Electronics Letters",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2220",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@InProceedings{Bilski:2017:PIG,
  author =       "Jaros{\l}aw Bilski and Bartosz Kowalczyk and Jacek M.
                 {\.Z}urada",
  booktitle =    "Artificial intelligence and soft computing. {16th
                 international conference, ICAISC 2017, Zakopane,
                 Poland, June 11--15, 2017. Proceedings. Part I}",
  title =        "Parallel implementation of the {Givens} rotations in
                 the neural network learning algorithm",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "14--24",
  year =         "2017",
  DOI =          "https://doi.org/10.1007/978-3-319-59063-9_2",
  ISBN =         "3-319-59062-6; 3-319-59063-4",
  ISBN-13 =      "978-3-319-59062-2; 978-3-319-59063-9",
  MRclass =      "68T05 15A23 65F99 65Y05 68W35",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "1486.68141",
  acknowledgement = ack-nhfb,
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "7528995",
}

@Article{Fan:2017:GRB,
  author =       "Wen Fan and Amir Alimohammad",
  title =        "{Givens} rotation-based {$ Q R $} decomposition for
                 {MIMO} systems",
  journal =      "{IET} Communications",
  volume =       "11",
  number =       "12",
  pages =        "1838--1845",
  month =        aug,
  year =         "2017",
  DOI =          "https://doi.org/10.1049/iet-com.2016.0789",
  bibdate =      "Tue Oct 24 06:38:13 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  acknowledgement = ack-nhfb,
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Lindner:2017:RGR,
  author =       "Marko Lindner and Torge Schmidt",
  title =        "Recycling {Givens} rotations for the efficient
                 approximation of pseudospectra of band-dominated
                 operators",
  journal =      j-OPER-MATRICES,
  volume =       "11",
  number =       "4",
  pages =        "1171--1196",
  year =         "2017",
  DOI =          "https://doi.org/10.7153/oam-2017-11-80",
  ISSN =         "1846-3886 (print), 1848-9974 (electronic)",
  ISSN-L =       "1846-3886",
  MRclass =      "65J10 (47A10 47B36 65F15 65F25)",
  MRnumber =     "3711439",
  MRreviewer =   "Nicolae Pop",
  bibdate =      "Tue Oct 24 06:22:34 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "1378.65112",
  acknowledgement = ack-nhfb,
  fjournal =     "Operators and Matrices",
  journal-URL =  "http://oam.ele-math.com/",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "6815571",
}

@Article{Zhao:2017:SKM,
  author =       "Yong-Ping Zhao and Peng-Peng Xi and Bing Li and
                 Zhi-Qiang Li",
  title =        "Sparse kernel minimum squared error using
                 {Householder} transformation and {Givens} rotation",
  journal =      j-APPL-INTELL,
  volume =       "48",
  number =       "2",
  pages =        "390--415",
  month =        jul,
  year =         "2017",
  CODEN =        "APITE4",
  DOI =          "https://doi.org/10.1007/s10489-017-0978-0",
  ISSN =         "0924-669X (print), 1573-7497 (electronic)",
  ISSN-L =       "0924-669X",
  bibdate =      "Fri Dec 21 15:20:43 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Intelligence",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{AbderramanMarrero:2018:RGA,
  author =       "J. {Abderram{\'a}n Marrero}",
  title =        "A reliable {Givens}--{$ L U $} approach for solving
                 opposite-bordered tridiagonal linear systems",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "76",
  number =       "10",
  pages =        "2409--2420",
  day =          "15",
  month =        nov,
  year =         "2018",
  CODEN =        "CMAPDK",
  DOI =          "https://doi.org/10.1016/j.camwa.2018.08.038",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Wed Jul 8 08:10:56 MDT 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl2010.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0898122118304644",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Hanson:2018:RAM,
  author =       "Richard J. Hanson and Tim Hopkins",
  title =        "Remark on {Algorithm 539: A Modern Fortran Reference
                 Implementation for Carefully Computing the Euclidean
                 Norm}",
  journal =      j-TOMS,
  volume =       "44",
  number =       "3",
  pages =        "24:1--24:23",
  month =        apr,
  year =         "2018",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/3134441",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Mon Jan 22 17:49:32 MST 2018",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fortran3.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  note =         "See \cite{Lawson:1979:ABL}.",
  URL =          "https://dl.acm.org/citation.cfm?id=3134441",
  abstract =     "We propose a set of new Fortran reference
                 implementations, based on an algorithm proposed by
                 Kahan, for the Level 1 BLAS routines *NRM2 that compute
                 the Euclidean norm of a real or complex input vector.
                 The principal advantage of these routines over the
                 current offerings is that, rather than losing accuracy
                 as the length of the vector increases, they generate
                 results that are accurate to almost machine precision
                 for vectors of length $ N < N_{\rm max} $ where $
                 N_{\rm max} $ depends upon the precision of the
                 floating point arithmetic being used. In addition, we
                 make use of intrinsic modules, introduced in the latest
                 Fortran standards, to detect occurrences of non-finite
                 numbers in the input data and return suitable values as
                 well as setting IEEE floating point status flags as
                 appropriate. A set of C interface routines is also
                 provided to allow simple, portable access to the new
                 routines. To improve execution speed, we advocate a
                 hybrid algorithm; a simple loop is used first and, only
                 if IEEE floating point exception flags signal, do we
                 fall back on Kahan's algorithm. Since most input
                 vectors are ``easy,'' i.e., they do not require the
                 sophistication of Kahan's algorithm, the simple loop
                 improves performance while the use of compensated
                 summation ensures high accuracy. We also report on a
                 comprehensive suite of test problems that has been
                 developed to test both our new implementation and
                 existing codes for both accuracy and the appropriate
                 settings of the IEEE arithmetic status flags.",
  acknowledgement = ack-nhfb,
  articleno =    "24",
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Li:2018:CFM,
  author =       "Jicheng Li and Guiling Zhang and Nana Wang and Guo Li
                 and Chengyi Zhang",
  title =        "Construction of full {$H$}-matrices with the given
                 eigenvalues based on the {Givens} matrices",
  journal =      "Journal of Applied Analysis and Computation",
  volume =       "8",
  number =       "1",
  pages =        "81--104",
  year =         "2018",
  DOI =          "https://doi.org/10.11948/2018.81",
  ISSN =         "2156-907X (print), 2158-5644 (electronic)",
  ISSN-L =       "2156-907X",
  MRclass =      "65F18 15A18 15A29",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "1455.65060",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Appl. Anal. Comput.",
  fjournal =     "Journal of Applied Analysis and Computation",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "7303045",
}

@Article{Marrero:2018:RGA,
  author =       "J. Abderram{\'a}n Marrero",
  title =        "A reliable {Givens-$ L U $} approach for solving
                 opposite-bordered tridiagonal linear systems",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "76",
  number =       "10",
  pages =        "2409--2420",
  year =         "2018",
  CODEN =        "CMAPDK",
  DOI =          "https://doi.org/10.1016/j.camwa.2018.08.038",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  MRclass =      "65F05 15A06",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "1442.65029",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers \& Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "7254203",
}

@Article{Poczekajlo:2018:ARP,
  author =       "Pawe{\l} Poczekaj{\l}o and Krzysztof Wawryn",
  title =        "Algorithm for realisation, parameter analysis, and
                 measurement of pipelined separable {3D} finite impulse
                 response filters composed of {Givens} rotation
                 structures",
  journal =      "{IET} Signal Processing",
  volume =       "12",
  number =       "7",
  pages =        "857--867",
  month =        sep,
  year =         "2018",
  DOI =          "https://doi.org/10.1049/iet-spr.2017.0450",
  bibdate =      "Tue Oct 24 06:38:13 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  acknowledgement = ack-nhfb,
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Shah:2018:BSS,
  author =       "Syed Awais Wahab Shah and Karim Abed-Meraim and Tareq
                 Y. Al-Naffouri",
  title =        "Blind source separation algorithms using hyperbolic
                 and {Givens} rotations for high-order {QAM}
                 constellations",
  journal =      j-IEEE-TRANS-SIG-PROC,
  volume =       "66",
  number =       "7",
  pages =        "1802--1816",
  year =         "2018",
  CODEN =        "ITPRED",
  DOI =          "https://doi.org/10.1109/TSP.2017.2777392",
  ISSN =         "1053-587X (print), 1941-0476 (electronic)",
  ISSN-L =       "1053-587X",
  ISSN-L =       "1053-587X",
  MRclass =      "94A12",
  MRnumber =     "3797836",
  bibdate =      "Tue Oct 24 06:22:34 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  ZMnumber =     "1414.94549",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Signal Processing",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "7020975",
}

@Article{Gan:2019:EEH,
  author =       "Yuquan Gan and Bingliang Hu and Weihua Liu and Shuang
                 Wang and Geng Zhang and Xiangpeng Feng and Desheng
                 Wen",
  title =        "Endmember extraction from hyperspectral imagery based
                 on {$ Q R $} factorisation using {Givens} rotations",
  journal =      "{IET} Image Processing",
  volume =       "13",
  number =       "2",
  pages =        "332--343",
  month =        feb,
  year =         "2019",
  DOI =          "https://doi.org/10.1049/iet-ipr.2018.5079",
  bibdate =      "Tue Oct 24 06:38:13 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  acknowledgement = ack-nhfb,
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Sokolovskiy:2019:HAQ,
  author =       "Alexey V. Sokolovskiy and Evgeny A. Veisov and Valery
                 N. Tyapkin and Dmitry D. Dmitriev",
  title =        "Hardware architectures of the {$ Q R $}-decomposition
                 based on a {Givens} rotation technique",
  journal =      "Zhurnal Sibirskogo Federal\cprime nogo Universiteta.
                 Matematika i Fizika",
  volume =       "12",
  number =       "5",
  pages =        "606--613",
  year =         "2019",
  DOI =          "https://doi.org/10.17516/1997-1397-2019-12-5-606-613",
  ISSN =         "1997-1397 (print), 2313-6022 (electronic)",
  ISSN-L =       "1997-1397",
  MRclass =      "68M07 68-XX 62-XX",
  MRnumber =     "4032421",
  bibdate =      "Tue Oct 24 06:22:34 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Zh. Sib. Fed. Univ. Mat. Fiz.",
  fjournal =     "Zhurnal Sibirskogo Federal\cprime nogo Universiteta.
                 Matematika i Fizika",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "7325539",
}

@Article{Fisher:2020:CSP,
  author =       "Lance A. Fisher and Hyeon-seung Huh",
  title =        "Combining sign and parametric restrictions in {SVARs}
                 by utilising {Givens} rotations",
  journal =      "Studies in Nonlinear Dynamics \& Econometrics",
  volume =       "24",
  number =       "3",
  pages =        "19--??",
  year =         "2020",
  DOI =          "https://doi.org/10.1515/snde-2018-0104",
  ISSN =         "1558-3708",
  MRclass =      "99-01 62-XX 91-XX",
  MRnumber =     "4117652",
  bibdate =      "Tue Oct 24 06:22:34 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  note =         "Paper Number 20180104.",
  acknowledgement = ack-nhfb,
  ajournal =     "Stud. Nonlinear Dyn. Econom.",
  fjournal =     "Studies in Nonlinear Dynamics \& Econometrics",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "7675530",
}

@Article{Miao:2020:UJD,
  author =       "Jifei Miao and Guanghui Cheng and Wenrui Li and Eric
                 Moreau",
  title =        "A unitary joint diagonalization algorithm for
                 nonsymmetric higher-order tensors based on
                 {Givens}-like rotations",
  journal =      j-NUM-LIN-ALG-APPL,
  volume =       "27",
  number =       "3",
  pages =        "e2291:1--e2291:17",
  month =        may,
  year =         "2020",
  CODEN =        "NLAAEM",
  DOI =          "https://doi.org/10.1002/nla.2291",
  ISSN =         "1070-5325 (print), 1099-1506 (electronic)",
  ISSN-L =       "1070-5325",
  MRclass =      "15A69 65F15",
  MRnumber =     "4157207",
  MRreviewer =   "Firdous A. Shah",
  bibdate =      "Tue Oct 24 06:22:34 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/numlinaa.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Numer. Linear Algebra Appl.",
  fjournal =     "Numerical Linear Algebra with Applications",
  journal-URL =  "https://onlinelibrary.wiley.com/journal/10991506",
  onlinedate =   "12 March 2020",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "7217204",
}

@Article{Borges:2021:FCA,
  author =       "Carlos F. Borges",
  title =        "Fast compensated algorithms for the reciprocal square
                 root, the reciprocal hypotenuse, and {Givens}
                 rotations",
  journal =      "arXiv.org",
  volume =       "??",
  number =       "??",
  pages =        "1--11",
  day =          "23",
  month =        feb,
  year =         "2021",
  bibdate =      "Fri Sep 22 16:05:47 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  URL =          "https://arxiv.org/abs/2103.08694",
  abstract =     "The reciprocal square root is an important computation
                 for which many very sophisticated algorithms exist (see
                 for example \cite{863046,863031} and the references
                 therein). In this paper we develop a simple
                 differential compensation (much like those developed in
                 \cite{borges}) that can be used to improve the accuracy
                 of a naive calculation. The approach relies on the use
                 of the fused multiply-add (FMA) which is widely
                 available in hardware on a variety of modern computer
                 architectures. We then demonstrate how to combine this
                 approach with a somewhat inaccurate but fast square
                 root free method for estimating the reciprocal square
                 root to get a method that is both fast (in computing
                 environments with a slow square root) and,
                 experimentally, highly accurate. Finally, we show how
                 this same approach can be extended to the reciprocal
                 hypotenuse calculation and, most importantly, to the
                 construction of Givens rotations.",
  acknowledgement = ack-nhfb,
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
}

@Article{Pourzanjani:2021:BIS,
  author =       "Arya A. Pourzanjani and Richard M. Jiang and Brian
                 Mitchell and Paul J. Atzberger and Linda R. Petzold",
  title =        "{Bayesian} Inference over the {Stiefel} Manifold via
                 the {Givens} Representation",
  journal =      j-BAYESIAN-ANAL,
  volume =       "16",
  number =       "2",
  pages =        "639--666",
  month =        jun,
  year =         "2021",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1214/20-BA1202",
  ISSN =         "1931-6690 (print), 1931-6690 (electronic)",
  ISSN-L =       "1931-6690",
  MRclass =      "60K35 60K35 60K35 62F15 62H25 62R30",
  bibdate =      "Wed Apr 6 06:36:13 MDT 2022",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib;
                 https://www.math.utah.edu/pub/tex/bib/bayesiananal.bib",
  URL =          "https://projecteuclid.org/journals/bayesian-analysis/volume-16/issue-2/Bayesian-Inference-over-the-Stiefel-Manifold-via-the-Givens-Representation/10.1214/20-BA1202.full",
  ZMnumber =     "1493.62133",
  acknowledgement = ack-nhfb,
  ajournal =     "Bayesian Anal.",
  fjournal =     "Bayesian Analysis",
  journal-URL =  "http://ba.stat.cmu.edu/;
                 http://projecteuclid.org/all/euclid.ba/",
  keywords =     "dimensionality reduction; orthogonal matrix; Principal
                 Component Analysis; transformation",
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  ZBmath =       "7439107",
}

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

@Proceedings{Cosnard:1986:PAA,
  editor =       "Michel Cosnard and Yves Robert and Maurice Tchuente
                 and Patrice Quinton",
  booktitle =    "Parallel algorithms \& architectures: proceedings of
                 the {International Workshop on Parallel Algorithms \&
                 Architectures, Centre National de Rencontres
                 Math{\'e}matiques, Luminy, France, 14--18 April,
                 1986}",
  title =        "Parallel algorithms \& architectures: proceedings of
                 the {International Workshop on Parallel Algorithms \&
                 Architectures, Centre National de Rencontres
                 Math{\'e}matiques, Luminy, France, 14--18 April,
                 1986}",
  publisher =    pub-NORTH-HOLLAND,
  address =      pub-NORTH-HOLLAND:adr,
  bookpages =    "xvii + 358",
  pages =        "xvii + 358",
  year =         "1986",
  ISBN =         "0-444-70104-4",
  ISBN-13 =      "978-0-444-70104-6",
  LCCN =         "QA76.5 .I618 1986",
  MRclass =      "65F05 65F25 65Y05 15A23",
  bibdate =      "Tue Oct 24 08:15:40 2023",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/g/givens-wallace.bib",
  acknowledgement = ack-nhfb,
  subject-dates = "Wallace Givens (14 December 1910--5 March 1993)",
  tableofcontents = "Introduction / 1 \\
                 Classification of parallel architectures / 13 \\
                 Basic components of parallel machines / 35 \\
                 Topologies of static networks / 71 \\
                 Complexity of parallel algorithms / 107 \\
                 Pipelining - architecture and implementation / 149 \\
                 Vectorization / 171 \\
                 Vectorization of linear algebra algorithms / 191 \\
                 Parallelizing algorithms / 209 \\
                 Task scheduling / 243 \\
                 Parallelization of dense linear systems / 275 \\
                 Parallelization of the Givens method / 313 \\
                 Impact of memory access on execution times / 341 \\
                 Task mapping / 361 \\
                 Communications in processor networks / 383 \\
                 Basic procedures on processor networks / 435 \\
                 Solving linear systems in parallel / 475 \\
                 Conclusion / 517 \\
                 Bibliography / 521 \\
                 Index / 547",
}