@String{ack-nhfb =  "Nelson H. F. Beebe,
                    Center for Scientific Computing,
                    Department of Mathematics,
                    University of Utah,
                    Salt Lake City, UT 84112, USA,
                    Tel: +1 801 581 5254,
                    FAX: +1 801 581 4148,
                    e-mail: \path|beebe@math.utah.edu|,
                    URL: \path|http://www.math.utah.edu/~beebe/|"}
% =====================  Journals abbreviations  ==============================

@String{j-ACM                   = "J. ACM"}

@String{j-appl-stat             = "Applied Statistics"}

@String{j-CACM                  = "Comm. ACM"}

@String{j-comp-phys             = "J. Comp. Phys."}

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

@String{j-math-phys             = "J. Math. and Physics"}

@String{j-Num-Math              = "Numerische Mathematik"}

@String{j-SPE                   = "Soft{\-}ware\emdash Prac{\-}tice
                                  and Experience"}

@String{j-SIAM-math-anal       = "SIAM J. on Math. Anal."}

@String{j-SIAM-num-anal       = "SIAM J. on Numer. Anal."}

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

@String{j-SIAM-sci-comp        = "SIAM J. on Scientific Computing"}

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

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

@String{j-TOPLAS                = "ACM Trans. on Programming
                                  Languages and Systems"}

@String{Lect-Notes-Math         = "Lecture Notes in Mathematics"}

@String{Lect-Notes-CS           = "Lecture Notes in Computer Science"}

@String{proc-AMS                = "Proceedings of the American Mathematical
                                   Society"}

% =====================  Publishers abbreviations  ============================

@String{pub-Aca-press           = "Academic Press"}

@String{pub-Aca-press-adr       = "New York"}

@String{pub-addison-w           = "Addison Wesley"}

@String{pub-addison-w-adr       = "Reading, Mass."}

@String{pub-addison-w-adr       = "Reading, Mass."}

@String{pub-Holden              = "Holden-Day"}

@String{pub-Holden-adr          = ""}

@String{pub-Hopkins             = "Johns Hopkins"}

@String{pub-Hopkins-adr         = "Baltimore and London"}

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

@String{pub-Mcgraw-adr          = "New York"}

@String{pub-prentice             = "Prentice-Hall"}

@String{pub-prentice-adr       = "Englewood Cliffs, N. J."}

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

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

@String{pub-Springer            = "Springer Verlag"}

@String{pub-WILEY               = "J.~Wiley and Sons"}

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



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

% ============= Reference Books ========================

@Book{ams55:exp-int,
  crossref =     "ams55",
  chapter =      "5",
  pages =        "227--252"}

@Book{ams55:sin-int,
  crossref =     "ams55",
  chapter =      "5",
  pages =        "231--244"}

@Book{ams55:gamma,
  crossref =     "ams55",
  chapter =      "6",
  pages =        "253--293"}

@Book{ams55:erf,
  crossref =     "ams55",
  chapter =      "7",
  pages =        "295--330"}

@Book{ams55:bes,
  crossref =     "ams55",
  chapter =      "9",
  pages =        "355--433"}

@Book{ams55:Ellip-Int,
  crossref =     "ams55",
  chapter =      "17",
  pages =        "587--626"}

@Book{ams55:or-poly,
  crossref =     "ams55",
  chapter =      "22",
  pages =        "771--802"}

@Book{ams55:integ-formulas,
  crossref =     "ams55",
  chapter =      "25",
  pages =        "888--891"}


@Book{ams55,
  Author =       "Milton Abramowitz and Irene A. Stegun",
  Title =        "Handbook of Mathematical Functions",
  Series =       "Applied Mathematics Series",
  Number =       "55",
  Publisher =    "National Bureau of Standards",
  Year =         "1966"
  }

@Manual{C90,
  Title =        "American National Standard Programming Language --- C",
  Number =       "{X}3.159--1989",
  Organization = "American National Standards Institute, Inc.",
  address =      "New York",
  Month =         dec,
  Year =          "1989"}

@Manual{Fortran77,
  Title =        "American National Standard Programming Language
                  {FORTRAN}",
  Number =       "{ANSI X}3.9--1978",
  Organization = "American National Standards Institute, Inc.",
  address =      "New York",
  Year =          "1978"}

@Manual{Fortran90,
  Title =        "American National Standard Programming Language
                 {F}ortran~90",
  Number =       "{X}3.198--1991",
  Organization = "American National Standards Institute, Inc.",
  address =      "11 West 42nd Street, New York, NY 10036",
  Month =         may,
  Year =          "1991"}

@Manual{Fortran95,
  Title =        "Information technology -- {P}rogramming languages --
                  {F}ortran - {P}art 1: {B}ase language",
  Number =       "ISO/IEC 1539-1:1997",
  Organization = "American National Standards Institute, Inc.",
  address =      "11 West 42nd Street, New York, NY 10036",
  Year =          "1997",
  xxxx = "On web: http://www.iso.ch  and http://web.ansi.org/default.htm"}



% ============= Referenced by Author ========================

@Article{Abramovici:1973:TAC,
  author =       "Flavian Abramovici",
  title =        "The Accurate Calculation of {F}ourier Integrals
                  by the Fast {F}ourier Transform Technique",
  journal =      j-comp-phys,
  volume =       "11",
  xxmonth =      "(none)",
  xxnumber =     "(none)",
  year =         "1973",
  pages =        "28--37",
}

@Book{Aho:Hopcroft:Ullman:1974:ALG,
  Author =       "Alfred V. Aho and John E. Hopcroft and Jeffrey D. Ullman",
  Title =        "The Design and Analysis of Computer Algorithms",
  Publisher =    pub-addison-w,
  Address =      pub-addison-w-adr,
  Year =         "1974"}

@Article{Alefeld:1995:AEZ,
  author =       "G. E. Alefeld and F. A. Potra and Yixun Shi",
  title =        "Algorithm 748: Enclosing Zeros of Continuous
                  Functions",
  journal =      j-TOMS,
  volume =       "21",
  number =       "3",
  month =        sep,
  year =         "1995",
  pages =        "327--344",
  keywords =     "algorithms, theory, asymptotic efficiency index,
                  enclosing method, inverse cubic interpolation,
                  quadratic interpolation, simple root",
  subject =      "G.1.0 [Numerical Analysis]: General -- numerical
                  algorithms; G.1.5 [Numerical Analysis]: Roots of
                  Nonlinear Equations -- convergence; iterative
                  methods",
  bibdate =      "Thu Sep 28 16:39:05 1995",
}

@Article{Amos:1977:CSI,
  author =       "D. E. Amos and S. L. Daniel and M. K. Weston",
  title =        "{CDC} 6600 Subroutines {IBESS} and {JBESS} for
                 {Bessel} Functions {$I_\nu(x)$} and {$J_\nu(x)$},
                 {$x\ge0,\nu\ge0$}",
  journal =      j-TOMS,
  volume =       "3",
  number =       "1",
  pages =        "76--92",
  month =        mar,
  year =         "1977",
  acknowledgement = ack-nhfb,
  bibdate =      "Tue Sep 06 19:20:02 1994",
}
@Techreport{Amos:1979:xxx,
   author = "D. E. Amos",
   title = "",
   institution = "Sandia Laboratory",
   address =     "Albuquerque, NM",
   number = "SAND79--1825",
   year = 1979,
   month = jun,
}

@Article{Bailey:1991:TFF,
  author =       "David H. Bailey and Paul N. Swarztrauber",
  title =        "The Fractional {F}ourier Transform and Applications",
  journal =      j-SIAM-rev,
  volume =       "33",
  number =       "3",
  pages =        "389--404",
  month =        sep,
  year =         "1991",
}

@Book{Bard:1974:NPE,
  author =       "Y. Bard",
  title =        "Nonlinear Parameter Estimation",
  publisher =    pub-Aca-press,
  address =      pub-Aca-press-adr,
  pages =        "341",
  year =         "1974",
}

@Article{Bell:1968:A334,
  author =       "James R. Bell",
  title =        "Algorithm~334 --- {N}ormal random deviates",
  journal =      j-CACM,
  volume =       "11",
  number =       "7",
  pages =        "498",
  month =        jul,
  year =         "1968",
}

@Incollection{Snyder:1997:CSI,
  author =       "W. Van Snyder",
   title = "Testing Functions of One and Two Arguments",
   editor = "R. F. Boisvert",
   booktitle = "Quality of Numerical Software, Assessment and
              Enhancement",
   type = "Part",
   pages = "155--166",
   publisher = "Chapman and Hall",
   address = "London",
   year ="1997",
   note = "Also, {JPL} Internal Technical Memorandum~552,
          April~07,~1996.",
   ISBN = "0-412-80530-8",
}

@Article{Box:1958:NOG,
  author =       "G. Box and M. Muller",
  title =        "Note on the generation of normal deviates",
  journal =      "Ann. Math. Stat.",
  volume =       "28",
  pages =        "610",
  year =         "1958",
}

@Book{Brenan:1996:DAE,
  author =       "K. E. Brenan and S. L. Campbell and L. R. Petzold",
  title =        "Numerical Solution of Initial-Value Problems in
                  Differential-Algebraic Equations",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  year =         "1996",
}

@Article{Bulirsch:1965:NCE,
  author =       "Roland Bulirsch",
  title =        "Numerical Calculation of Elliptic Integrals and
                  Elliptic Functions",
  journal =      j-Num-Math,
  volume =       "7",
  pages =        "78--90",
  year =         "1965",
  xxmonth =      "(none)",
  xxnumber =     "(none)",
}

@Article{Bulirsch:1969:NCE,
  author =       "Roland Bulirsch",
  title =        "Numerical Calculation of Elliptic Integrals and
                  Elliptic Functions",
  journal =      j-Num-Math,
  volume =       "13",
  pages =        "305--315",
  year =         "1969",
  xxmonth =      "(none)",
  xxnumber =     "(none)",
}

@BOOK{Brass:1993:NI,
   editor = "H. Brass and G. H{\"a}mmerlin",
   title = "Numerical Integration {IV}, Proceedings of the Conference
            at the Mathematical Research Institute, Oberwolfach, Nov.
            8--14, 1992",
   number = "112",
   series = "International Series of Numerical Mathematics",
   year = 1993,
   publisher = "Birkh{\"a}user Verlag",
   address = "Basel",
}

@Book{Brent:1973:AMW,
  author =       "R. P. Brent",
  title =        "Algorithms for Minimization Without Derivatives",
  publisher =    pub-prentice,
  address =      pub-prentice-adr,
  year =         "1973",
}

@Article{Brent:1978:FMP,
  author =       "Richard P. Brent",
  title =        "{A} {Fortran} Multiple-Precision Arithmetic Package",
  journal =      j-TOMS,
  volume =       "4",
  number =       "1",
  pages =        "57--70",
  month =        mar,
  year =         "1978",
  xxnote =         "See also \cite{Brent:1978:AMF}",
  acknowledgement = ack-nhfb,
  bibdate =      "Sat Aug 27 23:13:25 1994",
}

@Article{Brent:1978:AMF,
  author =       "Richard P. Brent",
  title =        "Algorithm 524: {MP}, {A} {Fortran} Multiple-Precision
                 Arithmetic Package [{A1}]",
  journal =      j-TOMS,
  volume =       "4",
  number =       "1",
  pages =        "71--81",
  month =        mar,
  year =         "1978",
  xxnote =         "See also \cite{Brent:1979:RMF,Brent:1980:AIB}.",
  acknowledgement = ack-nhfb,
  bibdate =      "Mon Sep 5 22:33:38 1994",
}

@Article{Brent:1979:RMF,
  author =       "R. P. Brent",
  title =        "Remark on ``{Algorithm} 524: {MP}, {A} {Fortran}
                 Multiple-Precision Arithmetic Package [{A1}]''",
  journal =      j-TOMS,
  volume =       "5",
  number =       "4",
  pages =        "518--519",
  month =        dec,
  year =         "1979",
  xxnote =         "See also \cite{Brent:1978:AMF,Brent:1980:AIB}.",
  acknowledgement = ack-nhfb,
  bibdate =      "Tue Aug 30 00:28:03 1994",
}

@Article{Brent:1980:AIB,
  author =       "Richard P. Brent and Judith A. Hooper and J. Michael
                 Yohe",
  title =        "An {AUGMENT} Interface for {Brent}'s Multiple
                 Precision Arithmetic Package",
  journal =      j-TOMS,
  volume =       "6",
  number =       "2",
  pages =        "146--149",
  month =        jun,
  year =         "1980",
  xxnote =         "See also \cite{Brent:1978:AMF,Brent:1979:RMF}.",
  acknowledgement = ack-nhfb,
  bibdate =      "Mon Aug 29 10:33:27 1994",
  keywords =     "arithmetic, multiple precision, extended precision,
                 floating point, portable software, software package,
                 precompiler interface, AUGMENT interface",
}

@Book{Byrd:1971:HEI,
  Author =       "Paul F. Byrd and Morris D. Friedman",
  Title =        "Handbook of Elliptic Integrals for Engineers and
                  Scientists",
  Publisher =     pub-Springer,
  Address =       "Berlin",
  Year =         "1971"}

@Article{Carlson:1979:CEI,
  author =       "B. C. Carlson",
  title =        "Computing Elliptic Integrals by Duplication",
  journal =      j-Num-Math,
  volume =       "33",
  pages =        "1--16",
  year =         "1979",
  xxmonth =      "(none)",
  xxnumber =     "(none)",
}


@Article{Carlson:1981:AAI,
  author =       "B. C. Carlson and Elaine M. Notis",
  title =        "Algorithm 577: Algorithms for Incomplete Elliptic
                 Integrals [{S21}]",
  journal =      j-TOMS,
  volume =       "7",
  number =       "3",
  pages =        "398--403",
  month =        sep,
  year =         "1981",
  acknowledgement = ack-nhfb,
  bibdate =      "Mon Aug 29 22:58:27 1994",
  keywords =     "elliptic integrals, logarithms, inverse circular
                 functions, inverse hyperbolic functions,
                 $R$-functions",
}

@Book{Carlson:1977:SFA,
  author =       "B. C. Carlson",
  title =        "Special Functions of Applied Mathematics",
  publisher =    pub-Aca-press,
  address =      pub-Aca-press-adr,
  xxpages =        "(none)",
  year =         "1977",
}

@Article{Clendenin:1966:AMN,
  author =       "W. W. Clendenin",
  title =        "A Method for Numerical Calculation of {F}ourier
                  Integrals",
  journal =      j-Num-Math,
  volume =       "8",
  pages =        "422--436",
  year =         "1966",
  xxmonth =      "(none)",
  xxnumber =     "(none)",
}

@Inproceedings{Clough:1965:FES,
   author = "R. W. Clough and J. L. Tocher",
   title = "Finite element stiffness matrices for analysis of plates in
            bending",
   booktitle = "Proc.\ Conf.\ Matrix Methods in Struct.\ Mech.",
   year = "1965",
   organization = "Air Force Inst.\ of Tech.",
   address = "Wright--{P}atterson {AFB}, {O}hio",
}

@Article{Cody:1965:CAC,
  author =       "W. J. Cody",
  title =        "{Chebyshev} Approximations for the Complete Elliptic
                 Integrals ${K}$ and ${E}$",
  journal =      j-MATH-COMP,
  volume =       "19",
  number =       "89--92",
  pages =        "105--112",
  year =         "1965",
  MRclass =      "65.05",
  MRnumber =     "30#1601",
  bibdate =      "Wed Jan 17 08:57:35 1996",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
  note =         "See also \cite{Cody:1966:CCA}.",
  acknowledgement = ack-nhfb,
  xxmonth =      "(none)",
}

@Article{Cody:1966:CCA,
  author =       "W. J. Cody",
  title =        "Corrigenda: ``{Chebyshev} Approximations for the
                 Complete Elliptic Integrals ${K}$ and ${E}$''",
  journal =      j-MATH-COMP,
  volume =       "20",
  number =       "93--96",
  pages =        "207--207",
  year =         "1966",
  bibdate =      "Mon Sep 26 19:25:24 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
  note =         "See \cite{Cody:1965:CAC}.",
  acknowledgement = ack-nhfb,
  xxmonth =      "(none)",
}

@Article{Cody:1968:CAF,
  author =       "W. J. Cody",
  title =        "{Chebyshev} approximations for the {Fresnel}
                 integrals",
  journal =      j-MATH-COMP,
  volume =       "22",
  number =       "102",
  pages =        "450--453 (plus microfiche supplement)",
  month =        apr,
  year =         "1968",
  bibdate =      "Mon Sep 26 19:23:42 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
  acknowledgement = ack-nhfb,
}

@Article{Cody:1969:RCA,
  author =       "W. J. Cody",
  title =        "Rational {Chebyshev} approximations for the error
                 function",
  journal =      j-MATH-COMP,
  volume =       "23",
  number =       "107",
  pages =        "631--637",
  month =        jul,
  year =         "1969",
  bibdate =      "Tue Sep 20 18:01:01 1994",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib",
  acknowledgement = ack-nhfb}

@Article{Coleman:1984:SES,
  author =       "Thomas F. Coleman and Burton S. Garbow and Jorge J.
                 Mor\'{e}",
  title =        "Software for Estimating Sparse {Jacobian} Matrices",
  journal =      j-TOMS,
  volume =       "10",
  number =       "3",
  pages =        "329--345",
  month =        sep,
  year =         "1984",
  note =         "Also, Algorithm~618, pp.~346--347."
}

@Article{Cooley:1965:AAF,
  author =       "J. W. Cooley and J. W. Tukey",
  title =        "An Algorithm for the Machine Calculation of Complex
                  {F}ourier Series",
  journal =      j-MATH-COMP,
  volume =       "19",
  pages =        "297--301",
  year =         "1965",
  xxmonth =      "(none)",
  xxnumber =     "(none)",
}

@Inproceedings{Cooley:1966:AFF,
   author = "James W. Cooley",
   title = "Applications of the Fast {F}ourier Transform Method",
   booktitle = "Proc. of the {IBM} Scientific Computing Symposium on Digital
               Simulation of Continuous Systems",
   pages = "83--96",
   month = jun,
   year = "1966",
}

@Article{Cools:1993:MCR,
  author =       "Ronald Cools and Philip Rabinowitz",
  title =        "Monomial cubature rules since ``{S}troud'': a
                 compilation",
  journal =      "J. Comp. and Applied Math.",
  volume =       "48",
  pages =        "309--326",
  year =         "1993",
  xxmonth =      "(none)",
  xxnumber =     "(none)",
}

@Article{deBoor:1972:OCB,
  author =       "Carl de Boor",
  title =        "On calculating with {B}-splines",
  journal =      "J. Approx. Theory",
  volume =       "6",
  number =       "1",
  pages =        "50--62",
  xxmonth =      "(none)",
  year =         "1972",
  note =         "Also: C. de Boor, {\bf A Practical Guide to Splines},
                  Springer-Verlag, 1978, 392~pages."
}
@Book{deBoor:1978:APG,
  author =       "Carl de Boor",
  title =        "A Practical Guide to Splines",
  pages =         "392",
  publisher =     pub-Springer,
  address =      "Berlin",
  year =          "1978"
}

@Article{Dennis:1981:ANL,
  author =       "John E. {Dennis, Jr.} and David M. Gay and Roy E.
                 Welsch",
  title =        "An Adaptive Nonlinear Least-squares Algorithm",
  journal =      j-TOMS,
  volume =       "7",
  number =       "3",
  pages =        "348--368",
  month =        sep,
  year =         "1981",
  note =         "Also, Algorithm~573, {NL2SOL}, pp.~369--383."
}

@Book{Dennis:1983:NMU,
  author =       "John E. Dennis Jr. and Robert B. Schnabel",
  title =        "Numerical Methods for Unconstrained Optimization and
                 Nonlinear Equations",
  publisher =    pub-prentice,
  address =      pub-prentice-adr,
  pages =        "378",
  year =         "1983",
}

@Article{DiDonato:1986:CIG,
  author =       "Armido R. {DiDonato} and Alfred H. Morris",
  title =        "Computation of the Incomplete Gamma Function Ratios
                 and Their Inverse",
  journal =      j-TOMS,
  volume =       "12",
  number =       "4",
  pages =        "377--393",
  month =        dec,
  year =         "1986",
  ISSN =         "0098-3500",
  acknowledgement = ack-nhfb,
  bibdate =      "Sun Sep 04 21:31:03 1994",
  keywords =     "algorithms",
  review =       "ACM CR 8709-0775",
  subject =      "G.1.2 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation",
}


@Article{DiDonato:1959:NFC,
  author =       "Armido R. DiDonato and Allan V. Hershey",
  title =        "New formulas for computing incomplete elliptic
                  integrals of the first and second kind",
  journal =      j-ACM,
  volume =       "6",
  pages =        "512--526",
  xxmonth =      "(none)",
  xxnumber =     "(none)",
  year =         "1959",
}

@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",
  xxnote =         "See
                 \cite{Lawson:1979:ABL,Dodson:1983:CRB,Hanson:1987:ATA,Louter-Nool:1988:ATA}.",
  acknowledgement = ack-nhfb,
  bibdate =      "Mon Sep 05 21:11:37 1994",
}

@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",
  xxnote =         "See
                 \cite{Lawson:1979:ABL,Dodson:1982:RBL,Hanson:1987:ATA,Louter-Nool:1988:ATA}.",
  acknowledgement = ack-nhfb,
  bibdate =      "Mon Sep 05 21:11:39 1994",
}

@Article{Donaldson:1987:CEC,
  author =       "J. R. Donaldson and R. B. Schnabel",
  title =        "Computational experience with confidence regions and
                 confidence intervals for nonlinear least squares",
  journal =      "Technometrics",
  volume =       "29",
  pages =        "67--82",
  xxmonth =      "(none)",
  xxnumber =     "(none)",
  year =         "1987",
}

@Book{Dongarra:1979:LUG,
  author =       "J. J. Dongarra and C. B. Moler and J. R. Bunch and G.
                 W. Stewart",
  title =        "{LINPACK} Users' Guide",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "320",
  year =         "1979",
  ISBN =         "0-89871-172-X (paperback)",
  LCCN =         "QA76.73 .L22 L5 1979, QA214 .L56 1979",
  bibdate =      "Mon Dec 13 15:18:20 1993",
  bibsource =    "ftp://ftp.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib",
  acknowledgement = ack-nhfb,
}

@Article{Dongarra:1988:ESF,
  author =       "Jack J. Dongarra and Jeremy Du Croz and Sven
                 Hammarling and Richard J. Hanson",
  title =        "An Extended Set of {FORTRAN} {Basic Linear Algebra
                 Subprograms}",
  journal =      j-TOMS,
  volume =       "14",
  number =       "1",
  pages =        "1--17",
  month =        mar,
  year =         "1988",
  ISSN =         "0098-3500",
  xxnote =         "See also \cite{Dongarra:1988:CES}.",
  acknowledgement = ack-nhfb,
  bibdate =      "Sat Nov 19 13:08:30 1994",
  keywords =     "algorithms; standardization",
  review =       "ACM CR 8812-0940",
  subject =      "G.4 Mathematics of Computing, MATHEMATICAL SOFTWARE,
                 Portability \\ G.1.3 Mathematics of Computing,
                 NUMERICAL ANALYSIS, Numerical Linear Algebra",
}

@Article{Dongarra:1988:AES,
  author =       "Jack J. Dongarra and Jeremy Du Croz and Sven
                 Hammarling and Richard J. Hanson",
  title =        "Algorithm 656: An Extended Set of {Basic Linear
                 Algebra Subprograms}: Model Implementation and Test
                 Programs",
  journal =      j-TOMS,
  volume =       "14",
  number =       "1",
  pages =        "18--32",
  month =        mar,
  year =         "1988",
  ISSN =         "0098-3500",
  acknowledgement = ack-nhfb,
  bibdate =      "Sun Sep 04 21:52:44 1994",
  keywords =     "algorithms; theory; nla, blas, vect, software",
  subject =      "G.1.3 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Numerical Linear Algebra \\ G.4 Mathematics of
                 Computing, MATHEMATICAL SOFTWARE, Algorithm analysis",
}

@Article{Dongarra:1988:CES,
  author =       "Jack J. Dongarra and Jeremy Du Croz and Sven
                 Hammarling and Richard J. Hanson",
  title =        "Corrigenda: ``{An} Extended Set of {FORTRAN} {Basic
                 Linear Algebra Subprograms}''",
  journal =      j-TOMS,
  volume =       "14",
  number =       "4",
  pages =        "399--399",
  month =        dec,
  year =         "1988",
  xxnote =         "See \cite{Dongarra:1988:ESF}.",
  acknowledgement = ack-nhfb,
  bibdate =      "Sat Nov 19 13:03:54 1994",
}

@Article{Dongarra:1990:SLB,
  author =       "Jack J. Dongarra and Jeremy Du Croz and Sven
                 Hammarling and Iain Duff",
  title =        "A Set of Level 3 {Basic Linear Algebra Subprograms}",
  journal =      j-TOMS,
  volume =       "16",
  number =       "1",
  pages =        "1--17",
  month =        mar,
  year =         "1990",
  acknowledgement = ack-nhfb,
  bibdate =      "Sat Aug 27 19:10:43 1994",
}

@Article{Dongarra:1990:ASL,
  author =       "Jack J. Dongarra and Jeremy Du Croz and Sven
                 Hammarling and Iain Duff",
  title =        "Algorithm 679: {A} Set of Level 3 {Basic Linear
                 Algebra Subprograms}: Model Implementation and Test
                 Programs",
  journal =      j-TOMS,
  volume =       "16",
  number =       "1",
  pages =        "18--28",
  month =        mar,
  year =         "1990",
  xxnote =         "See also
                 \cite{Higham:1990:EFM,Demmel:1992:SBA,Dayde:1994:PBI}.",
  acknowledgement = ack-nhfb,
  bibdate =      "Sat Aug 27 17:29:49 1994",
}


@Article{Dubrelle:1968:IQR,
  author =       "A. Dubrelle and R. S. Martin and J. H. Wilkinson",
  title =        "The Implicit {QL} Algorithm",
  journal =      j-Num-Math,
  volume =       "12",
  xxpages =      "(none)",
  year =         "1968",
  xxmonth =      "(none)",
  xxnumber =     "(none)",
}

@Article{Enright:1987:TFP,
  author =       "W. H. Enright and J. D. Pryce",
  title =        "Two {FORTRAN} Packages for Assessing Initial Value
                 Methods",
  journal =      j-TOMS,
  volume =       "13",
  number =       "1",
  pages =        "1--27",
  month =        mar,
  year =         "1987",
}

@Article{Floyd:1964:TS3,
  Author =       "R. W. Floyd",
  Title =        "Algorithm 245: {T}reesort 3",
  Journal =      CACM,
  Volume =       "7",
  Number =       "12",
  Year =         "1974",
  Pages =        "701"}

@Book{Forsythe:1977:CMM,
  author =       "G. E. Forsythe and M. A. Malcolm and C. B. Moler",
  title =        "Computer Methods for Mathematical Computations",
  publisher =    pub-prentice,
  address =      pub-prentice-adr,
  pages =        "259",
  year =         "1977",
}

@Book{Forsythe:1960:FWW,
  author =       "G. E. Forsythe and W. R. Wasow",
  title =        "Finite Difference Methods for
                  Partial Differential Equations",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  year =         "1960",
}

@Article{Fox:1978:PMS,
  author =       "P. A. Fox and A. D. Hall and N. L. Schryer",
  title =        "The {PORT} Mathematical Subroutine Library",
  journal =      j-TOMS,
  volume =       "4",
  number =       "2",
  pages =        "104--126",
  month =        jun,
  year =         "1978",
  acknowledgement = ack-nhfb,
  bibdate =      "Sat Aug 27 23:13:25 1994",
}

@Article{Fox:1978:AFP,
  author =       "P. A. Fox and A. D. Hall and N. L. Schryer",
  title =        "Algorithm 528: Framework for a Portable Library
                 [{Z}]",
  journal =      j-TOMS,
  volume =       "4",
  number =       "2",
  pages =        "177--188",
  month =        jun,
  year =         "1978",
  acknowledgement = ack-nhfb,
  annote =       "The three program packages presented here provide a
                 framework for a portable FORTRAN subroutine library.
                 They were developed for the BELL Laboratories library
                 PORT(1). The packages are: machine-dependent constants,
                 automatic error handling, and dynamic storage
                 allocation using a stack.",
  bibdate =      "Sat Aug 27 23:30:46 1994",
  country =      "USA",
  date =         "19/03/80",
  descriptors =  "Reliability; program construction; mathematical
                 method; FORTRAN; portability; error handling; memory
                 management; library;",
  enum =         "988",
  language =     "English",
  location =     "RWTH-AC-DFV: TELL",
  references =   "1",
  revision =     "20/03/92",
}

@Incollection{Fullerton:1977:PSF,
   author =       "L. Wayne Fullerton",
   title = "Portable Special Function Routines",
   editor = "Wayne Cowell",
   booktitle = "Portability of Numerical Software",
   number = 57,
   series = Lect-Notes-CS,
   type = "Part",
   pages = "452--483",
   publisher = pub-Springer,
   address = "Berlin",
   year = "1977"}

@Techreport{Fullerton:1973:FNLIB,
  Author =       "L. Wayne Fullerton",
  Title =        "Program Library Write--up B001",
  Institution =  "Los Alamos Scientific Laboratory",
  Year =         "1973"}

@Book{Garbow:1977:MER,
  author =       "B. S. Garbow and J. M. Boyle and J. J. Dongarra
                  and C. B. Moler",
  title =        "Matrix Eigensystem Routines --- {EISPACK} Guide
                  Extension",
  number =        "51",
  pages =         "343",
  series =        Lect-Notes-CS,
  publisher =     pub-Springer,
  address =      "Berlin",
  year =          "1977"
}

@Techreport{Garbow:1980:MIN,
   author = "Burton S. Garbow and Kenneth E. Hillstrom and Jorge J.
            Mor{\'e}",
   title = "Implementation Guide for MINPACK-1",
   institution = "Argonne National Laboratory",
   number = "ANL--80--68",
   year = 1980,
   pages = 58,
}

@Article{Gay:1981:COL,
  author =       "David M. Gay",
  title =        "Computing optimal locally constrained steps",
  journal =      j-SIAM-sci-comp,
  volume =       "2",
  pages =        "186--197",
  xxmonth =      "(none)",
  xxnumber =     "(none)",
  year = 1981,
}

@Article{Gay:1988:MLQ,
  author =       "David M. Gay and Roy E. Welsh",
  title =        "Maximum likelihood and quasi-likelihood for nonlinear
                 exponential family regression models",
  journal =      "J. Amer. Stat. Assn.",
  volume =       "83",
  pages =        "990--998",
  number =       "404",
  month =        dec,
  year =         "1988",
}

@Techreport{Gay:1984:USS,
  author =       "David M. Gay",
  title =        "Usage Summary for Selected Optimization Routines",
  institution =  "{AT\&T}",
  month =        may,
  year =         "1984",
  type =         "Internal {B}ell {L}aboratory {D}ocument",
  xxnumber =     "(none)",
}
@Article{Gear:1988:CWG,
  author =       "C. W. Gear",
  title =        "Differential--Algebraic Equation Index Transformations",
  journal =      j-SIAM-sci-comp,
  volume =       "9",
  number =       "1",
  pages =        "39--47",
  month =        jan,
  year =         "1988",
}
@Book{Gill:1987:PO,
  author =       "Philip E. Gill and Walter Murray and Margaret H.
                  Wright",
  title =        "Practical Optimization",
  pages =         "401",
  publisher =    pub-Aca-press,
  address =      pub-Aca-press-adr,
  year =          "1981",
  note =          "Sixth printing, 1987",
}

@Article{Goedecker:1994:RAF,
  author =       "S. Goedecker",
  title =        "Remark on Algorithms to Find Roots of Polynomials",
  journal =      j-SIAM-sci-comp,
  volume =       "15",
  number =       "5",
  pages =        "1058--1063",
  month =        sep,
  year =         "1994",
}

@Article{Goldfarb:1983:ANS,
   author = "D. Goldfarb and A. Idnani",
   title = "A numerically stable dual method for solving strictly convex
            quadratic programs",
   journal = "Mathematical Programming",
   volume = "27",
   number = "1",
   pages=  "1--33",
   year = 1983,
}

@Article{Golub:1973:TDP,
   author = "Gene H. Golub and Victor Pereyra",
   title = "The differentiation of pseudo-inverse and nonlinear
           least-squares problems whose variables separate",
   journal = j-SIAM-num-anal,
   volume = "10",
   xxmonth =      "(none)",
   xxnumber =     "(none)",
   pages=  "413--432",
   year = 1973,
}

@Book{Golub:1996:GVL,
  Author =       "G. H. Golub and C. F. van Loan",
  Title =        "Matrix Computations, Third Edition",
  Pages =        "549",
  Publisher =    pub-Hopkins,
  Address =      pub-Hopkins-adr,
  year =    "1996",
}
@Book{Gregory:1969:ACM,
  Author =       "R. T. Gregory and D. L. Karney",
  Title =        "A Collection of Matrices for Testing
                  Computational Algorithms",
  Pages =        "153",
  Publisher =    pub-WILEY,
  Address =      pub-WILEY:adr,
  year =    "1969",
}

@Book{Griewank:1991:ADA,
   editor = "Andreas Griewank and George F.  Corliss",
   title = "Automatic Differentiation of Algorithms, Proceedings of SIAM Workshop on
           Automatic Differentiation of Algorithms",
   pages = "353",
   month = jan,
   year = 1991,
   address = "Philadelphia",
   publisher = "SIAM",
   note = "Contains 31~papers reporting the 1991 state of the art in
           algorithms and software for automatic differentiation.
           Includes paper by Lawson specifically relating to the method
           for series reversion mentioned above in Section~C.",
}

@Book{Hairer:1993:SOD,
  Author =       "E. Hairer and S. P. N{\o}rsett and G. Wanner",
  Title =        "Solving Ordinary Differential Equations I",
  edition =      "Second Revised",
  publisher = pub-Springer,
  address = "Berlin",
  year =    "1993",
}

@Book{Hamming:1962:NMS,
  Author =       "R. W. Hamming",
  Title =        "Numerical Methods for Scientists and Engineers",
  publisher = pub-Mcgraw,
  address = pub-Mcgraw-adr,
  year =    "1962",
  note =    "Does an excellent job explaining the aliasing problem.
            May be the only numerical analysis book that examines the
            ``band-limited-function'' approach",
}

@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",
  xxnote =         "See
                 \cite{Lawson:1979:ABL,Dodson:1982:RBL,Dodson:1983:CRB,Louter-Nool:1988:ATA}.",
  acknowledgement = ack-nhfb,
  bibdate =      "Mon Sep 05 23:07:52 1994",
}

@Book{Hart:1968:CA:gam,
  crossref =     "Hart:1968:CA",
  chapter =      "6.6",
  type =         "{S}ection"}

@Book{Hart:1968:CA:erf,
  crossref =     "Hart:1968:CA",
  chapter =      "6.7",
  type =         "{S}ection"}

@Book{Hart:1968:CA:bes,
  crossref =     "Hart:1968:CA",
  chapter =      "6.8",
  type =         "{S}ection"}

@Book{Hart:1968:CA:Ellip-Int,
  crossref =     "Hart:1968:CA",
  chapter =      "6.9",
  type =         "{S}ection"}

@Book{Hart:1968:CA,
  Author =       "J. F. Hart and others",
  Title =        "Computer Approximations",
  Publisher =    pub-WILEY,
  Address =      pub-WILEY:adr,
  Year =         "1968"}

@Article{Havie:1973:REI,
  author =       "Tore {H\aa}vie",
  title =        "Remarks on an Expansion for Integrals of Rapidly
                  Oscillating Functions",
  journal =       "{BIT}",
  volume =       "13",
  pages =        "16--29",
  xxmonth =      "(none)",
  xxnumber =     "(none)",
  year =         "1973",
}

@Techreport{Hayder:1997:HKM,
   author = "M. E. Hayder and D. E. Keyes and P. Mehrotra",
   title = "A Comparison of PETSC Libary and HPF Implementations of an
   Archetypal PDE Computation",
   number = "NASA/CR-97-206278",
   type = "{TU Doc.}",
   institution = "NASA Langley Research Center",
   address = "Hampton, VA",
   xxmonth =      "(none)",
   year ="1997",
}

@Article{Heuman:1941:TCE,
  author =       "H. Kuki",
  title =        "Tables of Complete Elliptic Integrals",
  journal =      j-math-phys,
  volume =       "20",
  pages =        "127--206",
  xxmonth =      "(none)",
  xxnumber =     "(none)",
  year =         "1941",
}

@Book{Hildebrand:1956:INA,
  Author =       "F. B. Hildebrand",
  Title =        "Introduction to Numerical Analysis",
  pages =        "511",
  publisher =    pub-Mcgraw,
  address =      pub-Mcgraw-adr,
  year =         "1956",
  note =         "A reprint of a later edition is available from Dover"
}

@Book{Hock:1981:TEN,
  author =       "W. Hock and K. Schittkowski",
  title =        "Test Examples for Nonlinear Programming Codes",
  number =        "187",
  series =        "Lecture Notes in Economics and Mathematical Systems",
  publisher =     pub-Springer,
  address =      "Berlin",
  year =          "1981"
}

@Book{IMSL:1989:ML,
   author = "{IMSL}",
   title = "{MATH/LIBRARY V}ersion 1.1",
   institution = "IMSL",
   type = "~",
   address = "2500 {ParkWest} {Tower} {O}ne, 2500 {CityWest}
             {B}oulevard, Houston {TX} 77042-3020",
   pages =     "1130--1136",
   year ="1989",
}

@Book{Jenkins:1968:SAA,
  author =       "Gwilym M. Jenkins and Donald G. Watts",
  title =        "Spectral Analysis and its Applications",
  publisher =     pub-Holden,
  address =       pub-Holden-adr,
  year =          "1968",
  note =          "A highly regarded book concerned with time
                  series analysis",
}

@Article{Jones:1983:XER,
  author =       "Rondall E. Jones and David K. Kahaner",
  title =        "{XERROR}, the {SLATEC} Error-handling Package",
  journal =       "Software Practice and Experience",
  volume =       "13",
  pages =        "251--257",
  xxmonth =      "(none)",
  xxnumber =     "(none)",
  year =         "1983",
}

@Article{Kaufman:1975:AVP,
  author =       "Linda C. Kaufman",
  title =        "A variable projection method for solving separable
                  nonlinear least squares problems",
  journal =       "{BIT}",
  volume =       "15",
  pages =        "49--57",
  xxmonth =      "(none)",
  xxnumber =     "(none)",
  year =         "1975",
}

@Book{Knuth:1981:ACP,
   author = "Donald E. Knuth",
   title = "Seminumerical Algorithms",
   volume = 2,
   series = "The Art of Computer Programming",
   Publisher =    pub-addison-w,
   Address =      pub-addison-w-adr,
   edition = "Second",
   year = "1981",
}

@Article{Krogh:1970:EAP,
  author =       "Fred T. Krogh",
  title =        "Efficient Algorithms for Polynomial Interpolation and
                  Numerical Differentiation",
  journal =      j-MATH-COMP,
  volume =       "24",
  number =       "109",
  pages =        "185--190",
  month =        jan,
  year =         "1970",
  bibdate =      "Thurs Jan 23 1997",
}

@Techreport{Krogh:1970:RFT,
   author = "Fred T. Krogh",
   title = "{RFT} {M}ulti-dimensional Real {F}ourier Transform",
   number = "{CP}-2309, {NPO}~11648",
   type = "{TU Doc.}",
   institution = "Jet Propulsion Laboratory",
   address = "Pasadena, CA",
   xxmonth =      "(none)",
   year ="1970",
}

@Techreport{Krogh:1970:RF1,
   author = "Fred T. Krogh",
   title = "{RFT1} --- {O}ne-dimensional Real {F}ourier Transform",
   number = "{CP}-2310, {NPO}~11649",
   type = "{TU Doc.}",
   institution = "Jet Propulsion Laboratory",
   address = "Pasadena, CA",
   xxmonth =      "(none)",
   year ="1970",
}

@Techreport{Krogh:1970:FFT,
   author = "Fred T. Krogh",
   title = "{FFT} --- {P}rimitive Fast {F}ourier Transform",
   number = "{CP}-2311, {NPO}~11650",
   type = "{TU Doc.}",
   institution = "Jet Propulsion Laboratory",
   address = "Pasadena, CA",
   xxmonth =      "(none)",
   year ="1970",
}

@Techreport{Krogh:1970:CFT,
   author = "Fred T. Krogh",
   title = "{CFT} --- {M}ulti-dimensional Complex {F}ourier Transform",
   number = "{CP}-2312, {NPO}~11651",
   type = "{TU Doc.}",
   institution = "Jet Propulsion Laboratory",
   address = "Pasadena, CA",
   xxmonth =      "(none)",
   year ="1970",
}

@Techreport{Krogh:1970:SCT,
   author = "Fred T. Krogh",
   title = "{SCT}---{M}ulti-dimensional Sine, Cosine, and Sine-Cosine
           Transforms",
   number = "{CP}-2313, {NPO}~11652",
   type = "{TU Doc.}",
   institution = "Jet Propulsion Laboratory",
   address = "Pasadena, CA",
   xxmonth =      "(none)",
   year ="1970",
}

@Incollection{Krogh:1974:CSI,
  author =       "Fred T. Krogh",
   title = "Changing Stepsize in the Integration of Differential
    Equations Using Modified Divided Differences",
   editor = "Dale G. Bettis",
   booktitle = "Proceedings of the Conference on the Numerical Solution
                of Ordinary Differential Equations",
   number = 362,
   series = Lect-Notes-Math,
   type = "Part",
   pages = "22--71",
   publisher = "Springer Verlag",
   address = "Berlin",
   year ="1974",
   note = "Also, {JPL} Internal Technical Memorandum~312,
          March~20,~1973.",
   bibdate =      "Thurs Jan 23 1997",
}

@Techreport{Krogh:1974:ALS,
  author =       "Fred T. Krogh",
  title =        "A Language to Simplify Maintenance of Software which Has
                  Many Versions",
  institution =  "Jet Propulsion Laboratory",
  month =        apr,
  year =         "1974",
  type =         "Internal Computing Memorandum",
  number =       "359",
}

@Techreport{Krogh:1974:PTR,
  author =       "Fred T. Krogh and W. Van Snyder",
  title =        "Preliminary Test Results with a New Quadrature
                  Subroutine",
  institution =  "Jet Propulsion Laboratory",
  month =        jul,
  year =         "1974",
  type =         "Internal Computing Memorandum",
  number =       "363",
  note =         "Revised April 29, 1975",
}

@Techreport{Krogh:1977:TRQI,
  author =       "Fred T. Krogh and W. Van Snyder",
  title =        "Test Results With Quadrature Software",
  institution =  "Jet Propulsion Laboratory",
  month =        oct,
  year =         "1977",
  type =         "Internal Computing Memorandum",
  number =       "502",
}

@Techreport{Krogh:1978:PTR,
  author =       "Fred T. Krogh and W. Van Snyder",
  title =        "Preliminary Test Results for Multi-dimensional
                  Quadrature",
  institution =  "Jet Propulsion Laboratory",
  month =        jul,
  year =         "1978",
  type =         "Internal Computing Memorandum",
  number =       "442",
}

@Techreport{Krogh:1997:XRK,
  author =       "Fred T. Krogh",
  title =        "Explicit {R}unge-{K}utta Method for
                  Ordinary Differential Equations (DXRK8)",
  institution =  "Math \`a la Carte, Inc.",
  pages =        "14.2--01---14.2--10",
  address =      "Tujunga, CA",
  month =        feb,
  year =         1997,
  note =         "With registration, available from
                  \url{http://mathalacarte.com/cb/mom.fcg/ya65}"
}

@Techreport{Krogh:1987:VAM,
  author =       "Fred T. Krogh",
  title =        "14.1 Variable Order Adams Method for
                  Ordinary Differential Equations (DIVA)",
  institution =  "Math \`a la Carte, Inc.",
  pages =        "14.1--01---14.1--15",
  address =      "Tujunga, CA",
  month =        oct,
  year =         1987,
  note =         "\url{http://mathalacarte.com/cb/mom.fcg/ya64}"
}

@Techreport{Krogh:1997:AAG,
  author =       "Fred T. Krogh",
  title =        "An {A}dams Guy Does the {R}unge-{K}utta",
  institution =  "Jet Propulsion Laboratory",
  month =        mar,
  year =         "1997",
  number =       "554",
  note =         "Available from \url{http://mathalacarte.com/fkrogh}",
}

@Techreport{Krogh:1997:M4S,
  author =       "Fred T. Krogh",
  title =        "A Method for Solving General Optimization Problems",
  institution =  "Jet Propulsion Laboratory",
  month =        dec,
  year =         "1997",
  type =         "Internal Computing Memorandum",
  number =       "557",
  note =         "Working notes available from \url{
                  http://math.jpl.nasa.gov/~fkrogh/}",
}

@Article{Krogh:2009:SSO,
  author =       "Fred T. Krogh",
  title =        "Stepsize Selection for Ordinary Differential Equations",
  journal =      "{ACM} Transactions on Mathematical Software",
  volume =       37,
  number =       2,
  year = 	 2010,
  month =        apr,
  pages =        "15:1--15:11",
  URL =          "http://doi.acm.org/10.1145/1731022.1731025",
  accepted =     "11 September 2009",
  abstract =     "
                 This note offers a new approach based on a least squares
                 fit to past data to selecting the stepsize when solving
                 an ordinary differential equation. The approach used may
                 have applicability to other situations where one wants
                 to repeatedly make short term predictions given somewhat
                 noisy data. Additional ad hoc rules help significantly
                 for reliability and efficiency.",
}

@Book{Krylov:1962:ACI,
  Author =       "Vladimir Ivanovich Krylov",
  Title =        "Approximate Calculation of Integrals",
  publisher =    "Macmillan",
  address =      "New York",
  year =         "1962",
  pages =        "357",
  note=          "Translated by Stroud."
}

@Article{Kruskal:1956:SPAN,
  Author =       "J. B. Kruskal Jr.",
  Title =        "On the shortest spanning subtree of a graph and the
                  traveling salesman problem",
  Journal =      proc-AMS,
  Volume =       "7",
  Number =       "1",
  Year =         "1956",
  Pages =        "48--50"}

@Article{Kuki:1972:CGF,
  author =       "H. Kuki",
  title =        "Complex Gamma Function with Error Control",
  journal =      j-CACM,
  volume =       "15",
  number =       "4",
  pages =        "262--267 and~271--272",
  month =        apr,
  year =         "1972",
}

@Book{Lanczos:1956:AA,
  Author =       "Cornelius Lanczos",
  Title =        "Applied Analysis",
  publisher = pub-prentice,
  address = pub-prentice-adr,
  year =    "1956",
  note = "One of the first and best books dealing with practical problems
          of spectral analysis",
}

@Techreport{Lawson:1971:CDU,
   author = "C. L. Lawson",
   title = "Computing Derivatives using W-arithmetic and U-arithmetic",
   number = "289",
   type = "Internal Computing Memorandum",
   institution = "Jet Propulsion Laboratory",
   address = "Pasadena, CA",
   month = sep,
   year ="1971",
}

@Book{Lawson:1974:SLS,
  Author =       "Charles L. Lawson and Richard J. Hanson",
  Title =        "Solving Least-Squares Problems",
  publisher = pub-prentice,
  address = pub-prentice-adr,
  pages = "340",
  year =    "1974",
}

@Techreport{Lawson:1976:C1C,
   author = "C. L. Lawson",
   title = "{C$^{\,1}$}--Compatible interpolation over a triangle",
   number = "33--770",
   type = "{JPL TM}",
   institution = "Jet Propulsion Laboratory",
   address = "Pasadena, CA",
   pages = "34",
   month =      may,
   year ="1976",
}

@Techreport{Lawson:1976:IC1,
   author = "C. L. Lawson",
   title = "Integrals of a {C$^{\,1}$}--Compatible Triangular
            Surface Element",
   institution = "Jet Propulsion Laboratory",
   number = "33--808",
   type = "{JPL TM}",
   address = "Pasadena, CA",
   pages = "15",
   month =      dec,
   year ="1976",
}

@Incollection{Lawson:SC1:1977,
   author = "C. L. Lawson",
   title = "Software for {C$^{\,1}$} surface interpolation",
   editor = "John R. Rice",
   booktitle = "Mathematical Software {III}",
   type = "Part",
   pages = "161--194",
   publisher =    pub-Aca-press,
   address =      pub-Aca-press-adr,
   year = 1977,
   note= "Also {JPL} {P}ublication 77--30, August 1977.",
}

@Article{Lawson:1979:BLA,
  author =       "C. L. Lawson and R. J. Hanson and D. R. Kincaid and F.
                 T. Krogh",
  title =        "{Basic Linear Algebra Subprograms} for {Fortran}
                 Usage",
  journal =      j-TOMS,
  volume =       "5",
  number =       "3",
  pages =        "308--323",
  month =        sep,
  year =         "1979",
  acknowledgement = ack-nhfb,
  bibdate =      "Sat Aug 27 19:42:33 1994",
  keywords =     "nla, software, blas",
}

@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",
  xxnote =         "See also
                 \cite{Dodson:1982:RBL,Dodson:1983:CRB,Hanson:1987:ATA,Louter-Nool:1988:ATA}.",
  acknowledgement = ack-nhfb,
  bibdate =      "Mon Sep 05 21:11:34 1994",
}

@Techreport{Lawson:1980:MAR,
   author = "Charles L. Lawson",
   title = "{MARVEL} -- {A} Tool for Maintaining Multiversion Software",
   institution = "Jet Propulsion Laboratory",
   type = "Internal Report",
   number = "463",
   address = "Pasadena, CA",
   month =   jun,
   year ="1980",
   note = "Revised September 1989."
}

@Techreport{Lawson:1988:CHG,
   author = "Charles L. Lawson",
   title = "{CHGTYP} -- {A} Tool for Developing {F}ortran~77 Software in
            Single-Precision and Double-Precision Versions",
   institution = "Jet Propulsion Laboratory",
   type = "Internal Report",
   number = "524",
   address = "Pasadena, CA",
   month =   apr,
   year ="1988",
   note = "Revised May 1989."
}

@Article{Lawton:1971:ELP,
  author =       "William H. Lawton and Edward A. Sylvestre",
  title =        "Elimination of linear parameters in nonlinear
                 regression",
  journal =      "Technometrics",
  volume =       "13",
  number =       "3",
  pages =        "461--467",
  month =        aug,
  year =         "1971",
}

@Inproceedings{Learmonth:1973:STS,
   author = "G. P. Learmonth and P. A. W. Lewis",
   title = "Statistical tests of some widely used and recently proposed
            uniform random number generators",
   booktitle = "Proc. Seventh Interface Symposium on Computer Science
                and Statistics",
   note = "Also see NPS-55L@-73111A, Naval Postgraduate School,
           Monterey, 20~pp.",
   year = 1973,
}

@Inproceedings{Learmonth:1976:ETM,
   author =       "G. P. Learmonth",
   title =        "Empirical tests of multipliers for the prime-modulus
                  random number generator,  $x_{i+1}\equiv ax_i \mod
                  2^{31}-1$",
   booktitle = "Proc. Ninth Interface Symposium on Computer Science
                and Statistics",
   pages = "178--183",
   year = 1976,
}

@Article{Lether:1977:SOC,
  author =       "F. G. Lether",
  title =        "Subtracting out complex singularities in numerical
                  integration",
  journal =      j-MATH-COMP,
  volume =       "31",
  pages =        "223--229",
  year =         "1977",
  xxmonth =      "(none)",
  xxnumber =     "(none)",
}

@Article{Lyness:1971:TCF,
  author =       "J. N. Lyness",
  title =        "The Calculation of {F}ourier Coefficients by the
                 {M\"o}bius Inversion of the {P}oisson Summation Formula",
  journal =      j-MATH-COMP,
  volume =       "24",
  pages =        "101--135",
  year =         "1970",
  xxmonth =      "(none)",
  xxnumber =     "(none)",
  note =         "And Vol.~25 (1971) 59--78",
}

@Techreport{More:1980:MIN,
   author = "Jorge J. Mor{\'e} and Burton S. Garbow and Kenneth E.
            Hillstrom",
   title = "User Guide for MINPACK-1",
   institution = "Argonne National Laboratory",
   number = "ANL--80--74",
   year = 1980,
   pages = 261,
}

@Article{Norton:1995:OOP,
  author =       "Charles D. Norton and Boleslaw K. Szymanski and Viktor
                  K. Decyk",
  title =        "Object-Oriented Parallel Computation for Plasma
                  Simulation",
  journal =       j-CACM,
  volume =        "38",
  number =        "10",
  pages =         "88--100",
  month =         oct,
  year =          "1995",
  xxnote = {Fortran runs a lot faster than C++, Fortran 90 lets one do
            lots of object-oriented stuff},
}

@Article{Ng:1968:DSS,
  author =       "E. W. Ng",
  title =        "Direct Summation of Series Involving Higher Transcendental
                  Functions",
  journal =      j-comp-phys,
  volume =       "3",
  pages =        "334--338",
  number =       "2",
  month =        oct,
  year =         "1968",
}

@Article{Ng:1971:RAC,
  author =       "E. W. Ng",
  title =        "Recursive Algorithm for the Computation of Hypergeometric
                  Series",
  journal =      j-SIAM-math-anal,
  volume =       "2",
  pages =        "31--36",
  xxnumber =       "(none)",
  xxmonth =        "(none)",
  year =         "1971",
}

@Article{Olver:1972,
  author =       "F. W. J. Olver and D. J. Sookne",
  journal =      j-MATH-COMP,
  volume =       "26",
  pages =        "941--947",
  year =         "1972"}
  xxtitle =      "(none)",
  xxmonth =      "(none)",
  xxnumber =     "(none)",
}

@Article{Patterson:1968:TOA,
  author =       "T. N. L. Patterson",
  title =        "The Optimum Addition of Points to Quadrature Formulae",
  journal =      j-MATH-COMP,
  volume =       "22",
  pages =        "847--856",
  year =         "1968"}
  xxmonth =      "(none)",
  xxnumber =     "(none)",
}

@Article{Patterson:1989:AGIb,
  author =       "T. N. L. Patterson",
  title =        "Algorithm 672: Generation of Interpolatory Quadrature
                 Rules of the Highest Degree of Precision with
                 Preassigned Nodes for General Weight Functions",
  journal =      j-TOMS,
  volume =       "15",
  number =       "2",
  pages =        "137--143",
  month =        jun,
  year =         "1989",
  ISSN =         "0098-3500",
  acknowledgement = ack-nhfb,
  bibdate =      "Sat Aug 13 17:26:53 MDT 1994",
  keywords =     "algorithms; languages; performance",
  subject =      "G.1.4 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Quadrature and Numerical Differentiation \\ G.1.1
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Interpolation \\ G.4 Mathematics of Computing,
                 MATHEMATICAL SOFTWARE, Algorithm analysis",
}

@Book{Penner:1959:QMS,
  author =       "S. S. Penner",
  title =        "Quantitative Molecular Spectroscopy and Gas
                  Emissivities",
  publisher =    pub-addison-w,
  address =      pub-addison-w-adr,
  year =         "1959",
}

@TechReport{Petzold:1982:DAS,
  author =       "Linda R. Petzold",
  title =        "Description of DASSL: A Differential/Algebraic System
                  Solver",
  institution =  "Sandia National Laboratories",
  number =       "SAND82-8637",
  year =         1982
}

@Article{Poppe:1990:MEC,
  author =       "G. P. M. Poppe and C. M. J. Wijers",
  title =        "More Efficient Computation of the Complex Error
                 Function",
  journal =      j-TOMS,
  volume =       "16",
  number =       "1",
  pages =        "38--46",
  month =        mar,
  year =         "1990",
  acknowledgement = ack-nhfb,
  bibdate =      "Sun Sep 04 23:03:20 1994",
}

@Article{Poppe:1990:AEC,
  author =       "G. P. M. Poppe and C. M. J. Wijers",
  title =        "Algorithm 680: Evaluation of the Complex Error
                 Function",
  journal =      j-TOMS,
  volume =       "16",
  number =       "1",
  pages =        "47",
  month =        mar,
  year =         "1990",
  acknowledgement = ack-nhfb,
  bibdate =      "Sun Sep 04 23:03:20 1994",
}

@Incollection{Powell:AHM:1970,
   author = "M. J. D. Powell",
   title = "A Hybrid Method for Nonlinear Equations",
   editor = "P. Rabinowitz",
   booktitle = "Numerical Methods for Nonlinear Algebraic Equations",
   type = "Part",
   publisher = "Gordon and Breach",
   year = 1970,
   note = "Harwell library subroutine NS01A, described earlier by Powell
          in Harwell reports AERE--R--5947 (1968) {\em A Fortran
          Subroutine for Solving Systems of Non-linear Algebraic
          Equations,} and T.P.~364 (1969) {\em A Hybrid Method for
          Non-linear Equations.}",
}

@Article{Powell:UCD:1987,
   author = "M. J. D. Powell",
   title = "Updating conjugate directions by the {BFGS} formula",
   journal = "Mathematical Programming",
   volume = "38",
   number = "1",
   pages=  "20--46",
   year = 1987,
}

@Article{Powell:ATA:1988,
   author = "M. J. D. Powell",
   title = "A tolerant algorithm for linearly constrained optimization
           calculations",
   journal = "Mathematical Programming",
   volume = "45",
   number = "3, Ser.~B",
   pages=  "547--566",
   year = 1988,
   note = "Appeared originally as DAMTP/1988/NA17, University of
          Cambridge, 1988.",
}

@Techreport{Powell:1989:TOL,
   author = "Michael J. D. Powell",
   title = "{TOLMIN}: {A} {F}ortran package for linearly constrained
            optimization calculations",
   institution = "University of Cambridge",
   number = "DAMTP 1989/NA2, Department of Applied Mathematics and
             Theoretical Physics",
   year = {1989},
   month= jun,
   pages = 98,
}

@Article{Power:1980:ISU,
  author =       "Leigh R. Power",
  title =        "Internal Sorting Using a Minimal Tree Merge Strategy",
  journal =      j-TOMS,
  volume =       "6",
  number =       "1",
  pages =        "68--79",
  month =        mar,
  year =         "1980",
  acknowledgement = ack-nhfb,
  bibdate =      "Mon Aug 29 08:58:06 1994",
  keywords =     "sort, merge, minimal tree, internal sort, natural
                 merge sort, straight merge sort, linked list, list
                 processing",
}

@Article{Rice:COC:1967,
   author = "John Rice",
   title = "Characterization of {C}hebyshev approximations by splines",
   journal = j-SIAM-num-anal,
   volume = "4",
   number = "4",
   pages=  "557--565",
   year = 1967,
}

@Techreport{Salane:NUMD:1986,
   author = "D. E. Salane",
   title = "Adaptive Routines for Forming Jacobians Numerically",
   institution = "Sandia Laboratory",
   address =     "Albuquerque, NM",
   number = "SAND86--1319",
   year = 1986,
   month = aug,
}

@Techreport{Schryer:1981:ATO,
  author =       "N. L. Schryer",
  title =        "A Test of a Computer's Floating-Point Arithmetic Unit",
  institution =  "{AT\&T}",
  pages =        "Appendices + 31",
  month =        feb,
  year =         "1981",
  type =         "{B}ell {L}aboratory {C}omp. {S}ci. Tech. Rpt.",
  number =     "89",
}

@Book{Sedgewick:1983:A,
  author =       "Robert Sedgewick",
  title =        "Algorithms",
  publisher =    pub-addison-w,
  address =      pub-addison-w-adr,
  year =         "1983",
}

@Article{Singleton:1969:AAC,
  author =       "Richard C. Singleton",
  title =        "An Algorithm for Computing the Mixed Radix Fast
                  {F}ourier Transform",
  journal =      "{IEEE} Transactions on Audio and Electroacoustics",
  volume =       "AU-17",
  number =        "2",
  pages =        "93--103",
  month =        jun,
  year =         "1969",
  note =         "The June~1969 issue of this journal is a special issue
                  devoted to the FFT.",
}

@Book{Sloan:1995:LMM,
  author =       "I. H. Sloan and S. Joe",
  title =        "Lattice Methods for Multiple Integration",
  publisher =     "Oxford Univ. Press",
  address =      "Oxford",
  year =          "1995"
}

@Book{Smith:1974:MER,
  author =       "B. T. Smith and J. M. Boyle and B. S. Garbow and
                  Y. Ikebe and V. C. Klema and C. B. Moler",
  title =        "Matrix Eigensystem Routines --- {EISPACK} Guide",
  number =        "6",
  pages =         "387",
  series =        Lect-Notes-CS,
  publisher =     pub-Springer,
  address =      "Berlin",
  year =          "1974"
}

@Article{Snow:1968:A342,
  author =       "Richard H. Snow",
  title =        "Algorithm~342 --- {G}enerator of random numbers
                  satisfying the {P}oisson distribution",
  journal =      j-CACM,
  volume =       "11",
  number =       "12",
  pages =        "819",
  month =        dec,
  year =         "1968",
}

@Article{Soderlind:2003:DFA,
  author =       "Gustaf S{\"o}derlind",
  title =        "Digital filters in adaptive time-stepping",
  journal =      j-TOMS,
  volume =       "29",
  number =       "1",
  pages =        "1--26",
  month =        mar,
  year =         "2003", 
}

@Article{Spanier:1994:QRM,
  author =       "Jerome Spanier and Earl H. Maize",
  title =        "Quasi-random methods for estimating integrals using
                  relatively small samples",
  journal =      j-SIAM-rev,
  volume =       "36",
  number =       "1",
  pages =        "18--44",
  month =        mar,
  year =         "1994",
}

@Article{Stetter:1966:NAF,
  author =       "Hans J. Stetter",
  title =        "Numerical Approximations of {F}ourier Transforms",
  journal =      j-Num-Math,
  volume =       "8",
  pages =        "235--249",
  year =         "1966",
  xxmonth =      "(none)",
  xxnumber =     "(none)",
}

@Article{Strecok:1968:OCI,
  author =       "A. Strecok",
  title =        "On the calculation of the inverse of the error
                  function",
  journal =      j-MATH-COMP,
  volume =       "22",
  pages =        "144--158",
  year =         "1968",
  xxmonth =      "(none)",
  xxnumber =     "(none)",
}

@Book{Stroud:1971:ACM,
  Author =       "A. H. Stroud",
  Title =        "Approximate Calculation of Multiple Integrals",
  publisher = pub-prentice,
  address = pub-prentice-adr,
  year =    "1971",
}

@Article{Tarjan:1972:DFS,
  Author =       "Robert Endre Tarjan",
  Title =        "Depth first search and linear graph algorithms",
  Journal =      "{SIAM} Journal of Computing",
  Volume =       "1",
  Number =       "2",
  Year =         "1972",
  Pages =        "146--160"}

@Book{Tarjan:1983:DSNA,
  Author =       "Robert Endre Tarjan",
  Title =        "Data structures and network algorithms",
  Publisher =    pub-SIAM,
  Address =      pub-SIAM:adr,
  Year =         "1983"
}

@Article{Vandenberghe:1996:Semi,
  author =       "Lieven Vandenberghe and Stephen Boyd",
  title =        "Semidefinite programming",
  journal =      j-SIAM-rev,
  volume =       "38",
  number =       "1",
  pages =        "49--95",
  year =         "1996",
  month =        mar,
}

@Article{VandeVooren:1968:OCI,
  author =       "A. I. Van de Vooren and H. J. van Linde",
  title =        "Numerical Calculations of Integrals with Strongly
                 Oscillating Integrand",
  journal =      j-MATH-COMP,
  volume =       "20",
  pages =        "232--245",
  year =         "1966",
  xxmonth =      "(none)",
  xxnumber =     "(none)",
}

@Book{VanLoan:1992:CFF,
  author =       "Charles Van Loan",
  title =        "Computational Frameworks for the Fast {F}ourier
                 Transform",
  Publisher =    pub-SIAM,
  Address =      pub-SIAM:adr,
  Year =         "1992",
  xxpages =      "(none)",
}

@Book{vonNeumann:1959:VTU,
  author =       "John von Neumann",
  title =        "Various techniques used in connection with random
                  digits in the National Bureau of Standards",
  Series =       "Applied Mathematics Series",
  Number =       "12",
  Publisher =    "National Bureau of Standards",
  Year =         "1959",
  Pages =        "36",
}

@Article{Wengert:1964:ASA,
  author =       "R. E. Wengert",
  title =        "A Simple Automatic Derivative Evaluation Program",
  journal =      j-CACM,
  volume =       "7",
  number =       "8",
  pages =        "463--464",
  month =        aug,
  year =         "1964",
}

@Article{Wichmann:1982:AEP,
  author =       "B. A. Wichmann and I. D. Hill",
  title =        "An efficient and portable pseudo-random number
                  generator",
  journal =      j-appl-stat,
  pages =        "188--190",
  year =         "1982",
}

@Article{Williams:1964:HS,
  Author =       "J. W. J. Williams",
  Title =        "Algorithm 232: {H}eapsort",
  Journal =      CACM,
  Volume =       "7",
  Number =       "6",
  Year =         "1964",
  Pages =        "347--348"}

@Book{Wilkinson:1971:HAC,
  author =       "J. H. Wilkinson and C. Reinsch",
  title =        "Handbook for Automatic Computation,
                  Vol. {II}. Linear Algebra",
  publisher =     pub-Springer,
  address =      "Berlin",
  Year =         "1971",
  Pages =        "439",
}

% ============= JPL Technical Reports ========================


@Techreport{Hanson:1973:APS,
  author =       "R. Hanson and F. Krogh and C. Lawson",
  title =        "A proposal for standard linear algebra subprograms",
  institution =  "Jet Propulsion Laboratory",
  month =        nov,
  year =         "1973",
  type =         "Internal Technical Memorandum",
  number =       "33--660",
}

@Techreport{Krogh:1972:OUA,
   author = "Fred T. Krogh",
   title = "On the Use of Assembly Code for Heavily Used Modules in Linear
   Algebra",
   number = "303",
   institution =  "Jet Propulsion Laboratory",
   type =         "Internal Technical Memorandum",
   address = "Pasadena, CA",
   month = may,
   year ="1972",
}

@Techreport{Lang:1969:FC,
   author = "T. M. Lang and R. J. Hanson and D. R. Campbell",
   title = "French Curve",
   number = "203",
   institution =  "Jet Propulsion Laboratory",
   type =         "Internal Computing Memorandum",
   address = "Pasadena, CA",
   month = sep,
   year ="1968",
   pages = "27",
}

@Techreport{Lawson:1988:CM530,
  author =       "Charles L. Lawson",
  title =        "Visualization of Wobbling Precision in the Elementary
                 Functions",
  institution =  "Jet Propulsion Laboratory",
  month =        aug,
  year =         "1988",
  type =         "Internal Computing Memorandum",
  number =       "530",
}

@Techreport{Snyder:1996:CM552,
  author =       "W. Van Snyder",
  title =        "Testing Functions of One and Two Arguments",
  institution =  "Jet Propulsion Laboratory",
  month =        apr,
  year =         "1996",
  type =         "Internal Computing Memorandum",
  number =       "552",
}

% ============= Other Technical Reports ========================

@Techreport{ahm:lib:ELLPI,
  crossref =     "ahm:lib",
  pages =        "107--110"}

@Techreport{ahm:lib,
  Author =       "Morris, Jr., Alfred. H.",
  Title =        "{NSWC} Library of Mathematics Subroutines",
  Institution =  "Naval Surface Warfare Center",
  Number =       "NSWCDD/TR-92/425",
  Address =      "Dahlgren, VA 22448-5000 USA",
  Year =         "1993",
  Month =        jan}

%============= Math a la Carte Reports =========================

@Techreport{Krogh:2005:MAR,
  author =       "Fred T. Krogh",
  title =        "Pivot Selection Based on Size and Markowitz",
  institution =  "Math \`a la Carte, Inc.",
  number =       "2005-1",
  month =         dec,
  year =         "2005",
}

@Techreport{Krogh:2005:GEL,
  author =       "Fred T. Krogh",
  title =        "New Organization for Gaussian Elimination",
  institution =  "Math \`a la Carte, Inc.",
  number =       "2005-2",
  month =         dec,
  year =         2005,
}


@TechReport{Hanson:2008:DAS,
  author =       {"Richard J. Hanson and Fred T. Krogh"},
  title =        {"Solving Constrained Differential-Algebraic Systems
                  Using Projections"},
  institution =  {"Visual Numerics"},
  year =         2008,
  month =        nov,
  note =         "Available from
                  \url{http://mathalacarte.com/fkrogh/pub/SolvingC.pdf}", 

}


.