%---------------------------------------%
%---------------------------------------%
%---------------------------------------%
%-------------- T.Kouya's Bibliography -%
%------- Copyright (c) 2002 - 2009 -----%
%---------------------------------------%
%------- Version 0.0: January 15, 2002 -%
%------- Version 0.1: June 16, 2005 ----%
%------- Version 0.2: August 17, 2005 --%
%------- Version 0.3: August 21, 2006 --%
%------- Version 0.3a: Jan. 30, 2007 ---%
%------- Version 0.3b: April 3, 2007 ---%
%------- Version 0.3c: May 11, 2007 ----%
%------- Version 0.3d: July 18, 2007 ---%
%------- Version 0.3e: Sept. 28, 2007 --%
%------- Version 0.3f: Feb. 24, 2008 ---%
%------- Version 0.3g: Mar. 2, 2008 ----%
%------- Version 0.3h: Feb. 11, 2009 ---%
%------- Version 0.3i: April 16, 2009 --%
%------- Version 0.3j: May 22, 2009 ----%
%------- Version 0.3k: Oct. 2, 2009 ----%
%------- Version 0.3l: Apr. 29, 2011 ---%
%------- Version 0.3m: May. 19, 2011 ---%
%---------------------------------------%
%---------------------------------------%
%---------------------------------------%

%---------------------------------------%
%---------------------------------------%
% T.Kouya's online documents
%---------------------------------------%
%---------------------------------------%

%---------------------------------------%
% BNCpack
%---------------------------------------%
@misc{bnc,
	author = "Tomonori Kouya",
	title = "{BNC}pack",
	howpublished = "\url{http://na-inet.jp/na/bnc/}",
}

%---------------------------------------%
% A Tutorial of BNCpack
%---------------------------------------%
@misc{bnc_tutorial,
	author = "Tomonori Kouya",
	title = "A {T}utorial of {BNC}pack",
	howpublished = "\url{http://na-inet.jp/tutorial/}",
}

%---------------------------------------%
% NetPIPE for Win32
%---------------------------------------%
@misc{netpipe-win32,
	author = "Tomonori Kouya",
	title = "NetPIPE 3.6.2 for Win32",
	howpublished = "\url{http://na-inet.jp/na/NetPIPE-win32.zip}",
}
%---------------------------------------%
% Vine Linuxを用いたPC Clusterの構築
%---------------------------------------%
@misc{mpipc,
	author = "幸谷智紀",
	yomi = "Tomonori Kouya", 
	title = "Vine Linuxを用いたPC Clusterの構築",
	howpublished = "\url{http://na-inet.jp/na/mpipc.pdf}",
}

%---------------------------------------%
% Vine Linuxを用いたPC Clusterの構築
% Version 2
%---------------------------------------%
@misc{mpipc2,
	author = "幸谷智紀",
	yomi = "Tomonori Kouya", 
	title = "Vine Linuxを用いたPC Clusterの構築 Version 2",
	howpublished = "\url{http://na-inet.jp/na/mpipc2.pdf}",
}
%---------------------------------------%
% ソフトウェアとしての数値計算
%---------------------------------------%
@misc{nasoft,
	author = "幸谷智紀",
	yomi = "Tomonori Kouya", 
	title = "ソフトウェアとしての数値計算",
	howpublished = "\url{http://na-inet.jp/nasoft/}",
}

%---------------------------------------%
%---------------------------------------%
% URIs
%
% References:
% http://oku.edu.mie-u.ac.jp/~okumura/texfaq/qa/25430.html
% http://www.tex.ac.uk/cgi-bin/texfaq2html?label=citeURL
%---------------------------------------%
%---------------------------------------%

%---------------------------------------%
% Multiple Precision 
%---------------------------------------%
%---------------------------------------%
% GNU MP, GMP
% Last check: 2009-02-11
%---------------------------------------%
@misc{gmp,
	author = "Swox AB",
	title = "The {GNU} {M}ultiple {P}recision Arithmetic Library",
	howpublished = "\url{http://gmplib.org/}",
}

%---------------------------------------%
% MPFR
% Last check: 2005/06/15
%---------------------------------------%
@misc{mpfr, 
	author = "MPFR Project",
	title = "The {MPFR} Library",
	howpublished = "\url{http://www.mpfr.org/}",
}
%---------------------------------------%
% MPFR bench
% Last check: 2011-04-24
%---------------------------------------%
@misc{mpfr_bench,
	author = "MPFR Project", 
	title = "Comparison of multiple-precision floating-point software", 
	howpublished = "\url{http://www.mpfr.org/mpfr-3.0.0/timings.html}"
}

%---------------------------------------%
% gmpfrxx
% Last check: 2009/05/22
%---------------------------------------%
@misc{gmpfrxx,
	author = "Jon Wilkening",
	title = "gmpfrxx",
	howpublished = "\url{http://math.berkeley.edu/~wilken/code/gmpfrxx/}",
}
%---------------------------------------%
% MuPAD
% Last check: 2005/08/17
%---------------------------------------%
@misc{mupad,
	author="MuPAD",
	title="\url{http://www.mupad.de/}"
}

%---------------------------------------%
% Correctly Rounded mathlib             %
%---------------------------------------%
@misc{crlibm,
	author= "{CR}libm",
	title = "Correctly Rounded mathematical library",
	howpublished = "\url{http://lipforge.ens-lyon.fr/www/crlibm/}"
}

%---------------------------------------%
% GNU Scientific Library                %
%---------------------------------------%
@misc{gsl,
	author = "GSL Team",
	title = "GNU Scientific Library",
	howpublished = "\url{http://www.gnu.org/software/gsl/}"
}
%---------------------------------------%
% LAPACK
% Last Check: 2009-02-11
%---------------------------------------%
@misc{lapack,
	author = "LAPACK",
	title = "\url{http://www.netlib.org/lapack/}"
}
%---------------------------------------%
% xblas
% Last Check: 2011-04-29
%---------------------------------------%
@misc{lapack,
	author = "XBLAS: Extra Precise Basic Linear Algebra Subproutines",
	title = "\url{http://www.netlib.org/xblas/}"
}
%---------------------------------------%
% ATLAS
% Last Check: 2009-03-02
%---------------------------------------%
@misc{atlas,
	author = "ATLAS: Automatically Tuned Linear Algebra Software",
	title = "\url{http://math-atlas.sourceforge.net/}"
}
%---------------------------------------%
% GotoBLAS
% Last Check: 2009-03-02
%---------------------------------------%
@misc{gotoblas,
	author = "GotoBLAS",
	title = "\url{http://www.tacc.utexas.edu/resources/software/#blas}"
}
%---------------------------------------%
% QD
% Last Check: 2011-04-24
%---------------------------------------%
@misc{qd,
	author = "D.H. Bailey",
	title = "QD", 
	howpublished = "\url{http://crd.lbl.gov/~dhbailey/mpdist/}"
}
%---------------------------------------%
% ARPREC
% Last Check: 2011-04-24
%---------------------------------------%
@misc{arprec,
	author = "D.H. Bailey",
	title = "ARPREC",
	howpublished = "\url{http://crd.lbl.gov/~dhbailey/mpdist/}"
}

%---------------------------------------%
% exflib
% Last Check: 2011-04-24
%---------------------------------------%
@misc{exflib,
	author = "藤原宏志", 
	title = "exflib",
	howpublished = "\url{http://www-an.acs.i.kyoto-u.ac.jp/~fujiwara/exflib/}"
}
%---------------------------------------%
% MPACK
% Last Check: 2011-04-24
%---------------------------------------%
@misc{mpack,
	author = "中田真秀", 
	title = "Multiple Precision Arithmetic BLAS and LAPACK", 
	howpublished = "\url{http://mplapack.sourceforge.net/}"
}
%---------------------------------------%
% Mathematical Function Table on Web
%---------------------------------------%
%---------------------------------------%
% keisan.casio.jp
%---------------------------------------%
@misc{keisan_casio,
	author = "カシオ計算機",
	title = "$\sqrt{\mbox{keis}\alpha\mbox{n}}$",
	howpublished = "\url{http://keisan.casio.jp/}"
}

%---------------------------------------%
% Wolfram Alpha
%---------------------------------------%
@misc{wolfram_alpha,
	author = "Wolfram Research Inc.",
	title = "Wolfram$|$Alpha",
	howpublished = "\url{http://www.wolframalpha.com/}"
}
%---------------------------------------%
% Web
%---------------------------------------%
%---------------------------------------%
% PHPlot
%---------------------------------------%
@misc{phplot,
	author = "L. J. Bayuk and Miguel de Benito and Afan Ottenheimer",
	title = "PHPlot",
	howpublished = "\url{http://phplot.sourceforge.net/}"
}

%---------------------------------------%
% Open Flash Chart
%---------------------------------------%
@misc{open_flash_chart,
	author = "John Glazebrook",
	title = "Open Flash Chart 2",
	howpublished = "\url{http://teethgrinder.co.uk/open-flash-chart-2/}"
}

%---------------------------------------%
% Linux
%---------------------------------------%
%---------------------------------------%
% Vine Linux
% Last check: 2005/06/15
%---------------------------------------%
@misc{vine,
	author = "Vine Project",
	title = "Vine Linux Home Page",
	howpublished = "\url{http://vinelinux.org/}",
}
%---------------------------------------%
% Fedora
% Last check: 2005/06/15
%---------------------------------------%
@misc{fedora,
	author = "The Fedora Project",
	title = "Fedora Project",
	howpublished = "\url{http://fedora.redhat.com/}",
}

%---------------------------------------%
% CentOS
% Last check: 2011/04/24
%---------------------------------------%
@misc{vine,
	author = "The CentOS Project",
	title = "The Community ENTerprise Operating System",
	howpublished = "\url{http://www.centos.org/}",
}

%---------------------------------------%
% NetPIPE
% Last check: 2005/06/15
%---------------------------------------%
@misc{netpipe,
	author = "D. Turner",
	title = "A Network Protocol Independent Performance Evaluator",
	howpublished = "\url{http://www.scl.ameslab.gov/netpipe/}",
}

%---------------------------------------%
% MPICH
% Last check: 2005/06/15
%---------------------------------------%
@misc{mpich,
	author = "",
	title = "MPICH --- A Portable Implementations of MPI",
	howpublished = "\url{http://www-unix.mcs.anl.gov/mpi/mpich/}",
}

%---------------------------------------%
% MPICH2
% Last check: 2005/06/15
%---------------------------------------%
@misc{mpich2,
	author = "",
	title = "MPICH2",
	howpublished = "\url{http://www-unix.mcs.anl.gov/mpi/mpich2/}",
}

%---------------------------------------%
% Pthreads for win32
% Last check: 2005/06/15
%---------------------------------------%
@misc{pthreads-win32,
	author = "",
	title = "POSIX Threads for Win32",
	howpublished = "\url{http://sources.redhat.com/pthreads-win32/}",
}

%---------------------------------------%
%---------------------------------------%
% 1900s...1940s
%---------------------------------------%
%---------------------------------------%

%---------------------------------------%
% Wielandt,
% Das Iterationsverfahren bei nicht selbstadjungierten linearen Eigenwetaufgaben,
% Math. Z,
% ?.
%---------------------------------------%
@article{wielandt,
	author = "Helmut Wielandt",
	title = "Das Iterationsverfahren bei nicht selbstadjungierten linearen Eigenwetaufgaben",
	journal = "Math. Z",
	volume = 50,
	pages = "93-143"
}

%---------------------------------------%
%---------------------------------------%
% 1950s
%---------------------------------------%
%---------------------------------------%

%---------------------------------------%
% S. Gill, 
% A Process for the Step-by-Step Integration of Differential Equations in an Automatic Digital Computing Machine,
% Proceeding of the Cambridge Philophical Society,
% 1951.
%---------------------------------------%
@article{gill,
	author = "S. Gill",
	title = "A Process for the Step-by-Step Integration of Differential Equations in an Automatic Digital Computing Machine", 
	journal = "Proceedings of the Cambridge Philophical Society",
	volume = 47,
	year = 1951,
	pages = "96-108"
}

%---------------------------------------%
% 一瀬正巳,
% 誤差論,
% 培風館,
% 1953.
%---------------------------------------%
@book{itise_error,
	author="一瀬 正巳",
	yomi="Masami Ichise",
	title="誤差論",
	publisher="培風館",
	year=1953
}

%---------------------------------------%
%---------------------------------------%
% 1960s
%---------------------------------------%
%---------------------------------------%

%---------------------------------------%
% E.K.Blum, 
% A Modification of the {R}unge-{K}utta Fourth-Order Method,
% Mathematics of Computation,
% 1962.
%---------------------------------------%
@article{blum,
	author = "E. K. Blum",
	title = "A Modification of the {R}unge-{K}utta Fourth-Order Method",
	journal = "Mathematics of Computation",
	volume = 16,
	page = "176-187",
	year = 1962
}
%---------------------------------------%
% J.H.Wilkinson,
% Rounding Errors in Algebraic Process,
% Her Britannic Majesty's Stationary Office,
% 1963
%---------------------------------------%
@book{wilkinson_roundoff,
	author="J. H. Wilkinson",
	title="Rounding Errors in Algebraic Process",
	publisher="Her Britannic Majesty's Stationary Office",
	year=1963
}
%---------------------------------------%
% 
%---------------------------------------%
@book{abramowitz,
	author="M.Abramowitz and I.A.Stegun",
	title="Handbook of Mathematical Functions",
	publisher="Dover",
	year="1964"
}

%---------------------------------------%
% 
%---------------------------------------%
@article{yamashita_gauss_legendre,
	author="山下眞一郎",
	title="Gaussの数値積分公式の分点と重率の決定",
	journal = "情報処理",
	volume = 5,
	year = 1964,
	pages = "206-215"
}
%---------------------------------------%
% 
%---------------------------------------%
@article{yamashita_gauss_laguerre,
	author="山下眞一郎 and 佐竹誠也",
	title="Laguerre-Gaussの数値積分公式の分点と重率の決定",
	journal = "情報処理",
	volume = 4,
	year = 1965,
	pages = "216-220"
}
%---------------------------------------%
% 
%---------------------------------------%
@article{yamashita_gauss_hermite,
	author="山下眞一郎 and 佐竹誠也",
	title="Hermite-Gaussの数値積分公式の分点と重率の決定",
	journal = "情報処理",
	volume = 5,
	year = 1965,
	pages = "266-270"
}
%---------------------------------------%
% J.H.Wilkinson,
% The Algebraic Eigenvalue Problem,
% Clarendon Press,
% 1965.
%---------------------------------------%
@book{wilkinson_eigenvalue,
	author="J. H. Wilkinson",
	title="The Algebraic Eigenvalue Problem",
	publisher="Clarendon Press",
	year=1965,
	memo="固有値問題に関する古典中の古典。Paperbackが出てます。"
}

%---------------------------------------%
% O. M\o ller,
% Quasi Double-Precision in Floating Point Addition,
% BIT Vol.5,
% 1965.
%---------------------------------------%
@article{moeller,
	author = "O. M\o ller",
	title = "Quasi Double-Precision in Floating Point Addition", 
	journal = "BIT",
	volume = 5,
	year = 1965,
	pages = "37-50"
}
%---------------------------------------%
% O. M\o ller,
% Note on Quasi Double-Precision,
% BIT Vol.5,
% 1965.
%---------------------------------------%
@article{moeller_note,
	author = "O. M\o ller",
	title = "Note on Quasi Double-Precision", 
	journal = "BIT",
	volume = 5,
	year = 1965,
	pages = "251-255"
}
%---------------------------------------%
% Frazer, Duncan, Collar,
% Elemantary Matrices and som application to dynamics and differential Equations,
% Cambridge Univ. Press,
% 1965(Reprinted).
%---------------------------------------%
@book{fdc,
	author = "R. A. Frazer and W. J. Duncan and A. R. Collar",
	title = "Elemantary Matrices and som application to dynamics and differential Equations",
	publisher = "Cambridge University Press",
	year = 1938,
	note = "Reprinted in 1965"
}
%---------------------------------------%
% 斎藤正彦，
% 線型代数入門，
% 東京大学出版会，
% 1966
%---------------------------------------%
@book{saito_la,
	author="斎藤 正彦",
	yomi="Masahiko Saito",
	title="線型代数入門",
	publisher="東京大学出版会",
	year=1966,
	series="基礎数学",
	volume=1
}
%---------------------------------------%
% 伊理正夫，松谷泰行，
% Runge-Kutta-Gill法について,
% 情報処理, Vol.8,
% 1967.
%---------------------------------------%
@article{iri_gill,
	author = "伊理正夫 and 松谷泰行",
	yomi = "Masao Iri",
	title = "{R}unge-{K}utta-Gill法について",
	journal = "情報処理",
	volume = 8,
	year = 1967,
	pages = "103-107"
}
%---------------------------------------%
% 
%---------------------------------------%
@article{moler_iterative_ref,
	author = "C.~B. Moler", 
	title = "{I}terative refinement in floating point",
	journal = "Journal of the ACM",
	vol = 14,
	year = 1967,
	pages = "316 - 321"
}

%---------------------------------------%
% G.E.フォーサイス・C.B.モウラー，
% 計算機のための線形計算の基礎，
% 培風館，
% 1969
%---------------------------------------%
@book{forsythe_lna,
	author="G. E. フォーサイス and C. B. モウラー and 渋谷政昭・田辺國士 共訳",
	yomi = "G. E. Forsythe",
	title="計算機のための線形計算の基礎",
	publisher="培風館",
	year=1969
}
%---------------------------------------%
% R. T. Gregory, D. L. Karney,
% A Collection of Matrices for Testing Computational Algorithm,
% Wiley Interscience, 
% 1969.
%---------------------------------------%
@book{matrix_collection,
	author = "Robert T. Gregory and David L. Karney",
	title = "A Collection of Matrices for Testing Computational Algorithm",
	publisher = "Wiley Interscience",
	year = 1969
}

%---------------------------------------%
% Golub & Welsch
%---------------------------------------%
@article{golub_welsch,
	author = "G.H.Golub and J.H.Welsch",
	title = "Calculation of Gauss Quadrature Rules",
	journal = "Mathematics of Computations",
	volume = 23,
	year = 1969,
	pages = "221-230"
}

%---------------------------------------%
%---------------------------------------%
% 1970s
%---------------------------------------%
%---------------------------------------%

%---------------------------------------%
% R.J.Thompson, 
% Improving Round-off in Runge-Kutta Computations with Gill's method
%---------------------------------------%
@article{thompson,
	author = "R. J. Thompson",
	title = "Improving Round-off in {R}unge-{K}utta Computations with Gill's method", 
	journal = "Communications of the ACM",
	volume = 13,
	year = 1970,
	pages = "739-740"
}
%---------------------------------------%
% ファジーエフ・ファジーエバ，
% 線型代数の計算法(上，下）,
% 産業図書，
% 1970
%---------------------------------------%
@book{fadeev,
	author="ファジェーエフ and ファジェーエバ and 小国 力訳",
	yomi = "Fadeev",
	title="線型代数の計算法(上, 下)",
	publisher="産業図書",
	year=1970
}

%---------------------------------------%
% J.H.Wilkinson & C.Reinsch,
% Linear Algebra,
% Springer-Verlag, 
% 1971.
%---------------------------------------%
@book{wilkinson_lna,
	editor="J. H. Wilkinson and C. Reinsch",
	title="Linear Algebra",
	publisher="Springer-Verlag",
	year=1971,
	series="Handbook of Automatic Computation",
	volume=2
}
%---------------------------------------%
% 平野・戸川・藤井・三好,
% 計算技術及び数値計算法,
% 培風館,
% 1971
%---------------------------------------%
@book{togawa,
	author = "平野 菅保 and 戸川 隼人 and 藤井 宏 and 三好 哲彦",
	yomi = "Sugayasu Hirano",
	title = "計算技術及び数値計算法",
	series = "コンピュータによる構造工学講座",
	publisher = "培風館",
	year = 1971
}
%---------------------------------------%
% 名取亮，
% 大型行列の固有値問題，
% 情報処理，
% 1972.
%---------------------------------------%
@article{natori,
	author = "名取亮",
	yomi = "Ryo Natori",
	title = "大型行列の固有値問題",
	journal = "情報処理",
	year = 1972,
	volume = 13,
	pages = "29-36"
}
%---------------------------------------%
% 森正武，
% 数値解析，
% 共立出版，
% 1973
%---------------------------------------%
@book{mori_na_kyouritu,
	author ="森 正武",
	yomi = "Masatake Mori",
	title = "数値解析",
	publisher = "共立出版",
	series = "共立数学講座",
	volume = 12,
	year = 1973
}
%---------------------------------------%
% 山下眞一郎，
% On the Error Estimation in Floating-point Arithmetic,
% 1974.
%---------------------------------------%
@phdthesis{yamashita_doc,
	author = "山下 眞一郎",
	yomi = "Shin-ichiro Yamashita",
	title = "On the Error Estimation in Floating-point Arithmetic",
	school = "日本大学",
	yaer = 1974
}
%---------------------------------------%
% ヘンリッチ, 清水留三郎, 小林光夫訳,
% 計算機による常微分方程式の解法I, II,
% サイエンス社,
% 1973.
%---------------------------------------%
@book{henrici_de,
	author="ヘンリッチ and 清水留三郎・小林光夫 訳",
	yomi="Henrici",
	title="計算機による常微分方程式の解法I, II",
	publisher="サイエンス社",
	year=1973
}
%---------------------------------------%
% 下地貞夫 他,
% 線形計算の誤差(実験例),
% 数値計算における誤差,
% 共立出版,
% 1975.
%---------------------------------------%
@inbook{bit_le,
	author="下地 貞夫 and 川面 恵司 and 三輪 順子",
	yomi="Sadao Shimoji",
	title="線形計算の誤差（実験例）",
	booktitle="数値計算における誤差",
	publisher = "共立出版",
	year=1975
}
%---------------------------------------%
% 清水辰次郎, 大橋常道,
% Runge-Kutta-Gillタイプの数値解法についてI, II,
% 日本数学会講演予稿集, 
% 1975.
%---------------------------------------%
@inproceedings{shimizu,
	author = "清水辰次郎 and 大橋常道",
	yomi = "Tatsujiro Shimizu",
	title = "{R}unge-{K}utta-Gillタイプの数値解法についてI, II",
	booktitle = "日本数学会 応用数学分科会講演予稿集",
	year = 1975,
	pages = "101-111"
}
%---------------------------------------%
% Eispack
%---------------------------------------%
@book{eispack,
	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",
	publisher = "Springer-Verlag",
	year = 1976
}
%---------------------------------------%
% J. Strang, 山口昌哉 訳,
% 線形代数の基礎,
% 産業図書,
% 1976.
%---------------------------------------%
@book{strang_linear,
	author="J.Strang and 山口昌哉 訳",
	title="線型代数の基礎",
	publisher="産業図書",
	year=1976
}
%---------------------------------------%
% 
%---------------------------------------%
@article{yamashita_gosa,
	author = "山下眞一郎",
	yomi = "Shin-ichiro Yamashita",
	title = "浮動小数点演算の誤差",
	journal= "bit別冊 数値計算における誤差",
	pate = "14-26",
	publisher = "共立出版",
	year = 1976
}

%---------------------------------------%
% 戸田英雄，
% Runge-Kutta系のある極限公式の打切り誤差についての研究,
% 電総研研究報告 772号,
% 1977.
%---------------------------------------%
@techreport{toda_runge_kutta,
	author="戸田 英雄",
	yomi="Hideo Toda",
	type="電子技術総合研究所研究報告 第772号",
	institution="電子技術総合研究所",
	title="{R}unge-{K}utta系のある極限公式の打切り誤差についての研究",
	year=1977
}
%---------------------------------------%
% 戸川隼人,
%  共約勾配法,
% 教育出版,
% 1977.
%---------------------------------------%
@book{togawa_cg,
	author="戸川 隼人",
	yomi="Hayato Togawa",
	title="共役勾配法",
	publisher="教育出版",
	year=1977,
	series="新しい応用の数学",
	volume=17
}

%---------------------------------------%
% 
%---------------------------------------%
@article{moler_matrix_exp,
	author = "C. Moler and C.Van Loan",
	title = "{N}inteen {D}ubious {W}ays to {C}ompute the {E}xponential of a {M}atrix", 
	journal = "SIAM Review",
	volume = 20,
	year = 1978,
	pages = "801 - 836"
}

%---------------------------------------%
%---------------------------------------%
% 1980s
%---------------------------------------%
%---------------------------------------%

%---------------------------------------%
% J. Stoer, R. Bulirsch,
% Introduction to Numerical Analysis,
% Springer-Verlag,
% 1980.
%---------------------------------------%
@book{stoer_na,
	author="J. Stoer and R. Bulirsch",
	title="Introduction to Numerical Analysis",
	publisher="Springer-Verlag",
	year=1980,
	memo="原書はドイツ語らしい。"
}

%---------------------------------------%
% S.D.Conte & C. de Boor, 
% Elementary Numerical Analysis, 
% McGraw-Hill, 
% 1980
%---------------------------------------%
@book{conte_na,
	author="Samuel D. Conte and Carl de Boor",
	title="Elementary Numerical Analysis: An Algorithmic Approach",
	edition="Third",
	publisher="McGraw-Hill Book Company",
	year=1980
}
%---------------------------------------%
% 永坂秀子，
% 計算機と数値解析，
% 朝倉書店，
% 1980
%---------------------------------------%
@book{nagasaka_na,
	author="永坂 秀子",
	yomi="Hideko Nagasaka",
	title="計算機と数値解析",
	publisher="朝倉書店",
	series="理工学基礎講座",
	volume=6,
	year=1980
}
%---------------------------------------%
% 高田勝，
% 機械計算法，
% 養賢堂, 
% 1981.
%---------------------------------------%
@book{takada,
	author = "高田勝",
	yomi = "Masaru Takada",
	title = "機械計算法",
	publisher = "養賢堂",
	year = "1981",
}
%---------------------------------------%
%                                       %
%---------------------------------------%
@article{na_diff,
	author = "永坂 秀子 and 福井 義成",
	yomi = "Hideko Nagasaka",
	title = "数値微分の誤差", 
	journal = "情報処理学会論文誌",
	volume = 22,
	number = 5,
	year = 1981,
	pages = "411 - 416"
}
%---------------------------------------%
% 一松信，
% 数値解析，
% 朝倉書店，
% 1982
%---------------------------------------%
@book{hitotumatu_na_asakura,
	author="一松 信",
	yomi="Makoto Hitotsumatu",
	title="数値解析",
	publisher="朝倉書店",
	series="新数学講座",
	volume=13,
	year=1982
}
%---------------------------------------%
% D. S. Watkins, 
% Understanding the QR Algorithm,
% SIAM Review,
% 1982.
%---------------------------------------%
@article{qr,
	author = "David S. Watkins",
	title = "Understanding the QR Algorithm",
	journal = "SIAM Review",
	volume = 24,
	year = 1982,
	pages = "427-440"
}
%---------------------------------------%
% H.D.Simon,
% Analysis of the Symmetrix Lanczos Algorithm with Reorthogonal Methods
%---------------------------------------%
@article{simon,
	author = "H. D. Simon",
	title = "Analysis of the Symmetric Lanczos Algorithm with Reorthogonal Methods",
	journal = "Linear Algebra and its Applications",
	volume = "61",
	year = "1984"
}
%---------------------------------------%
% 森正武，
% 数値解析法，
% 朝倉書店，
% 1984
%---------------------------------------%
@book{mori_na_asakura,
	author="森 正武",
	yomi="Masatake Mori",
	title="数値解析法",
	publisher="朝倉書店",
	series="朝倉現代物理学講座",
	volume=7,
	year=1984
}
%---------------------------------------%
% R.A.Horn, C.R.Johnson, 
% Matrix Analysis, 
% Cambridge University Press,
% 1985.
%---------------------------------------%
@book{matrix,
	author = "R. A. Horn and C. R. Johnson",
	title = "Matrix Analysis",
	publisher = "Cambridge University Press",
	year = "1985"
}
%---------------------------------------%
% 伊里正夫, 藤野和建
% 数値計算の常識,
% 共立出版,
% 1985.
%---------------------------------------%
@book{iri_joshiki,
	author="伊理 正夫 and 藤野和建",
	yomi="Masao Iri",
	title="数値計算の常識",
	publisher="共立出版",
	year=1985
}
%---------------------------------------%
% 永坂秀子,
% バイト・マシンとパソコンのBASICの精度比較,
% コンピュートロール 12,
% 1985.
%---------------------------------------%
@article{nagasaka_cp,
	author = "永坂秀子",
	yomi = "Nagasaka Hideko",
	title = "バイト・マシンとパソコンのBASICの精度比較",
	journal = "コンピュートロール",
	volume = 12,
	year = 1985
}
%---------------------------------------%
% 三井斌友，
% 数値解析入門，
% 朝倉書店,
% 1985
%---------------------------------------%
@book{mitsui_asakura,
	author = "三井斌友",
	yomi = "Taketomo Mitsui",
	title = "数値解析入門",
	series = "数理科学ライブラリー",
	volume = 7,
	publisher = "朝倉書店",
	year = 1985,
	memo = "「ODEの」数値解析の専門書"
}
%---------------------------------------%
% 布広永示, 平野菅保,
% 連立一次方程式における数値解の誤差評価,
% 情報処理学会誌 Vol.27, No.10,
% 1986.
%---------------------------------------%
@article{hirano_lserror,
	author = "布広永示 and 平野菅保",
	yomi = "Eiji Nunohiro",
	title = "連立1次方程式における数値解の誤差評価",
	journal = "情報処理学会論文誌",
	volume = 27,
	number = 10,
	year=1986
}
%---------------------------------------%
% Knuth
%---------------------------------------%
@book{knuth,
	author="D.E.Knuth/中川圭介・訳",
	title="準数値算法/算術演算",
	publisher="サイエンス社",
	year="1986"
}

%---------------------------------------%
% 春海佳三郎　他，
% 数値演算プロセッサ，
% CQ出版社，
% 1987.
%---------------------------------------%
@book{if_ndp,
	author = "春海 佳三郎 and 西見 二昭 and 小林 史典 and others",
	yomi = "Kasaburo Harumi",
	editor="インターフェース編集部",
	title="数値演算プロセッサ: 浮動小数点演算入門から高速演算プログラミングまで",
	series="IFスペシャル",
	publisher="CQ出版社",
	year=1987
}
%---------------------------------------%
% J.C.Butcher, 
% The Numerical Analysis of Ordinary Differential Equations,
% John Wiley & Sons,
% 1987.
%---------------------------------------%
@book{butcher,
	author = "J. C. Butcher",
	title = "The Numerical Analysis of Ordinary Differential Equations",
	publisher = "John Wiley \& Sons",
	year = 1987,
	memo = "ODE関係書としてはバイブル。初心者向きじゃないけど。",
}
%---------------------------------------%
% 篠原能材,
% 数値解析の基礎,
% 日新出版,
% 1987.
%---------------------------------------%
@book{shinohara_na,
	author = "篠原能材",
	yomi = "Shinohara",
	title = "数値解析の基礎",
	publisher = "日新出版",
	year = 1987
}
%---------------------------------------%
% 名取，野寺，ランチョス法による大型固有値問題の計算について
%---------------------------------------%
@article{natori_nodera,
	author = "名取亮 and 野寺隆",
	yomi = "Ryo Natori",
	title = "ランチョス法による大型固有値問題の計算について",
	journal = "bit 臨時増刊 スーパーコンピュータと大型数値計算",
	publisher = "共立出版",
	year = "1987"
}
%---------------------------------------%
% M.K.Jain, 
% Numerical Solution of Differential Equation,
% Wiley Eastern Limited,
% 1987.
%---------------------------------------%
@book{jain_dena,
	author = "M. K. Jain",
	title = "Numerical Solution of Differential Equations",
	publisher = "Wiley Eastern Limited",
	year = 1987,
	edition = "Second"
}

%---------------------------------------%
% 五十嵐正夫，
% 博士論文,
% 1989.
%---------------------------------------%
@phdthesis{igarashi,
	author = "五十嵐 正夫",
	yomi = "Masao Igarashi",
	title = "代数方程式の数値解法におけるNewton-Raphson系解法の研究",
	school = "日本大学",
	year = 1989
}
%---------------------------------------%
% D.E.Knuth, 鷺谷好輝訳
% TeXブック,
% アスキー,
% 1989.
%---------------------------------------%
@book{knuth_tex,
	author = "D. E. Knuth and 鷺谷 好輝訳",
	yomi = "knuth",
	title = "\TeX ブック: コンピュータによる組版システム",
	publisher = "アスキー出版局",
	year = 1989
}
%---------------------------------------%
% 森口繁一
% 数値計算工学,
% 岩波書店,
% 1989.
%---------------------------------------%
@book{moriguchi_nakougaku,
	author = "森口 繁一",
	yomi = "Shigeichi Moriguchi ",
	title = "数値計算工学",
	publisher = "岩波書店",
	year = 1989
}

%---------------------------------------%
%---------------------------------------%
% 1990s
%---------------------------------------%
%---------------------------------------%

%--------------------------------------%
% 
%--------------------------------------%
@article{nakao_seido,
	author = "中尾 充宏",
	yomi = "Mitsuhiro Nakao",
	title = "精度保証付き数値計算の現状と動向",
	journal = "情報処理",
	volume = "31",
	number = "9",
	year = 1990
}
%---------------------------------------%
% Stephen G. Nash,
% A History of Scientific Computing,
%---------------------------------------%
@book{history,
	editor = "Stephen G. Nash",
	title = "A History of Scientific Computation",
	publisher = "ACM Press",
	year = 1990
}
%---------------------------------------%
% 
%---------------------------------------%
@book{susemi_linear,
	author = "数学セミナー編集部",
	yomi = "Sugaku Seminar",
	title = "線型代数ア・ラ・カルト",
	publisher = "日本評論社",
	year = 1990
}
%---------------------------------------%
% L.Lamport, 
% 文書処理システムLaTeX, 
% アスキー，
% 1990.
%---------------------------------------%
@book{lamport_latex,
	author = "Lesile Lamport and 大野俊治 他訳",
	title = "文書処理システム \LaTeX",
	publisher = "アスキー出版局",
	year = 1990
}
%---------------------------------------%
% 野寺隆，
% 楽々LaTeX, 
% 共立出版，
% 1990
%---------------------------------------%
@book{nodera_latex,
	author = "野寺 隆",
	yomi = "Takashi Nodera",
	title = "楽々\LaTeX ",
	publisher = "共立出版",
	year = 1990
}
%---------------------------------------%
% G. W. Stewart, Ji-guang Sun, 
% Matrix Perturbation Theory,
% Academic Press, 1990.
%---------------------------------------%
@book{stewart,
	author = "Gilbert W. Stewart and Ji-guang Sun",
	title = "Matrix Perturbation Theory",
	publisher = "Academic Press",
	year = "1990"
}
%---------------------------------------%
% 大野豊・磯田和男,
% 新版・数値計算ハンドブック, 
% オーム社，
% 1990
%---------------------------------------%
@book{na_handbook,
	author = "大野 豊 and 磯田和男 監修",
	yomi = "Yutaka Ohno",
	title = "新版 数値計算ハンドブック",
	publisher = "オーム社",
	year = 1990
}
%---------------------------------------%
% J.D.Lambert, 
% Numerical Methods for Ordinary Diffential Systems.
%---------------------------------------%
@book{lambert,
	author = "J.D.Lambert",
	title = "Numerical Methods for Ordinary Diffential Systems",
	publisher = "Wiley \& Sons",
	year = 1991
}
%--------------------------------------%
% 
%--------------------------------------%
@article{kubota1,
	author = "伊里 正夫 and 久保田 光一",
	yomi = "Masao Iri",
	title = "高速自動微分法(I)",
	journal = "応用数理",
	volume = "1",
	number = "1",
	year = 1991,
}
%--------------------------------------%
% 
%--------------------------------------%
@article{kubota2,
	author = "伊里 正夫 and 久保田 光一",
	yomi = "Masao Iri",
	title = "高速微分法(II)",
	journal = "応用数理",
	volume = "1",
	number = "2",
	year = 1991
}
%---------------------------------------%
% 奥村晴彦，
% C言語による最新アルゴリズム事典,
% 技術評論社，
% 1991.
%---------------------------------------%
@book{okumura_c_algorithm,
	author = "奥村 晴彦",
	yomi = "Haruhiko Okumura",
	title = "C言語による最新アルゴリズム事典",
	publisher = "技術評論社",
	year = 1991
}
%---------------------------------------%
% 佐々木建昭，数式処理：研究道具として，研究対象として
%---------------------------------------%
@article{sasaki,
	author = "佐々木建昭",
	yomi = "Tateaki Sasaki",
	title = "数式処理：研究道具として，研究対象として",
	journal = "応用数理",
	volume = 1,
	number = 2,
	year = 1991,
	pages = "35--52"
}
%----------------------------------------%
% 微分積分ハンドブック
%----------------------------------------%
@book{inoue,
	author = "井上正雄",
	yomi = "Masao Inoue",
	title = "簡明　微積分ハンドブック",
	publisher="聖文社",
	year = 1991
}
%---------------------------------------%
% 川上一郎，
% 数値計算の基礎，
% 日本大学大学院用テキスト, 
% 1992
%---------------------------------------%
@unpublished{kawakami_na,
	author = "川上 一郎",
	yomi = "Ichiro Kawakami",
	title = "数値計算の基礎",
	note = "日本大学 テキスト",
	year = 1992
}
%---------------------------------------%
% P.J.Plauger,
% The Standard C Library,
% Prentice Hall,
% 1992.
%---------------------------------------%
@book{plauger_c_lib,
	author="P. J. Plauger",
	title="The Standard C Library",
	publisher="Prentice Hall",
	year=1992
}
%---------------------------------------%
% 奥村晴彦，
% LaTeX美文書作成入門，
% 技術評論社，
% 1992.
%---------------------------------------%
@book{okumura_latex,
	author="奥村 晴彦",
	yomi="Haruhiko Okumura",
	title="\LaTeX 美文書作成入門",
	publisher="技術評論社",
	year=1992
}
%---------------------------------------%
% 
%---------------------------------------%
@book{isozaki_latex,
	author="磯崎 秀樹",
	yomi="Hideki Isozaki",
	title="\LaTeX 自由自在",
	publisher="サイエンス社",
	year=1992,
	series="Computer Today ライブラリ",
	volume=5
}
%---------------------------------------%
% 
%---------------------------------------%
@inproceedings{yoshida_cg,
	author="吉田 裕 and 加藤 健治 and 黒川 和浩",
	yomi = "Yutaka Yoshida",
	title = "非線形有限要素解析における収束計算の加速法に関する検討",
	booktitle = "構造工学における数値解析法シンポジウム論文集",
	year = 1992
}
%---------------------------------------%
% 
%---------------------------------------%
@article{ninomiya_ap,
	author="二宮市三",
	yomi="Ichizo Ninomiya",
	title="科学計算への二つの提案",
	journal = "応用数理",
	volume = 2,
	number = 1,
	year=1992
}
%---------------------------------------%
% 田中正次ほか，
% 7段6次陽的Runge-Kutta法の最適化について
%---------------------------------------%
@article{tanaka,
	author = "田中 正次 and 高山 尚文 and 山下 茂",
	yomi = "Masatsugu Tanaka",
	title = "7段6次陽的{R}unge-{K}utta法の最適化について", 
	journal = "情報処理学会論文誌",
	volume = 33,
	number = 8,
	year = 1992,
	pages = "993-1005"
}
%---------------------------------------%
% 田中正次ほか，
% 9段7次陽的Runge-Kutta法の最適化について
%---------------------------------------%
@article{tanaka97,
	author = "田中 正次 and 村松 茂 and 山下 茂",
	yomi = "Masatsugu Tanaka",
	title = "9段7次陽的{R}unge-{K}utta法の最適化について", 
	journal = "情報処理学会論文誌",
	volume = 33,
	number = 12,
	year = 1992,
	pages = "1512-1526"
}
%---------------------------------------%
% Rice
%---------------------------------------%
@book{rice,
	author="John R. Rice",
	title="Numerical Methods, Software and Analysis",
	edition = "Second",
	publisher="Academic Press",
	year="1993"
}
%---------------------------------------%
% シャトラン, 
% 行列の固有値，
% シュプリンガー・フェアラーク東京，
% 1993.
%---------------------------------------%
@book{chatelin,
	author = "Fran\c{c}oise Chatelin and 伊理正夫・伊理由美訳",
	title = "行列の固有値",
	publisher = "シュプリンガー・フェアラーク東京",
	year = 1993
}
%---------------------------------------%
% 三井斌友，
% 微分方程式の数値解法I, 
% 岩波書店,
% 1993.
%---------------------------------------%
@book{mitsui_iwanami,
	author = "三井斌友",
	yomi = "Taketomo Mitsui",
	title = "微分方程式の数値解法I",
	series = "岩波講座　応用数学",
	publisher = "岩波書店",
	year = 1993
}
%---------------------------------------%
% 小澤一文，
% Durand-Kerner法の効率的な初期値の簡単な設定法,
% 日本応用数理学会論文誌,
% 1993.
%---------------------------------------%
@article{ozawa_dk,
	author = "小澤 一文",
	yomi = "Kazufumi Ozawa",
	title = "Durand-Kerner法の効率的な初期値の簡単な設定法",
	journal = "日本応用数理学会論文誌",
	volume = "3",
	year = 1993
}
%----------------------------------------%
% 数値解析の定義
%----------------------------------------%
@article{def_of_na,
	author = "Lloyd N. Trefethen and 岡田裕・三井斌友 訳",
	yomi = "Lloyd N. Trefethen",
	title = "数値解析の定義",
	journal = "日本応用数理学会論文誌",
	volume = 3,
	number = 2,
	pages = "133--137",
	year = 1993
}
%---------------------------------------%
% K. Dowd, 
% High Performance Computing, 
% 1994.
%---------------------------------------%
@book{hpc,
	author = "K. Dowd",
	title = "High Performance Computing",
	publisher = "International Thompson Japan",
	year = 1994
}
%---------------------------------------%
% 森正武・杉原正顕・室田一雄，
% 線形計算，
% 岩波書店,
% 1994.
%---------------------------------------%
@book{mori_ln_iwanami,
	author = "森正武 and 杉原正顕 and 室田一雄",
	yomi = "Masatake Mori",
	title = "線形計算",
	series = "岩波講座　応用数学",
	publisher = "岩波書店",
	year = "1994"
}
%---------------------------------------%
% 奥村晴彦　他，
% LaTeX入門，
% 技術評論社，
% 1992.
%---------------------------------------%
@book{okumura_latex_new,
	author="奥村 晴彦 ほか",
	yomi="Haruhiko Okumura",
	title="\LaTeX 入門",
	publisher="技術評論社",
	year=1994,
	memo="前作「\LaTeX 美文書作成入門」の改訂版。"
}
%---------------------------------------%
% 
%---------------------------------------%
@book{shimojo_chaos,
	author="下條隆嗣",
	yomi = "Takatsugu Shimojo",
	title="カオス力学入門",
	publisher="近代科学社",
	year="1994"
}
%---------------------------------------%
% 杉原正顕・室田一雄，
% 数値計算法の数理，
% 岩波書店,
% 1994.
%---------------------------------------%
@book{suginara_muroya_na,
	author = "杉原正顕 and 室田一雄",
	yomi = "Masaaki Suginara",
	title = "数値計算法の数理",
	publisher = "岩波書店",
	year = "1994"
}
%---------------------------------------%
% 佐々木建昭，
% 近似代数(近似的代数計算) - 柔軟な数式処理を目指して -,
% 日本応用数理学会平成７年度年会 配布資料,
% 1995.
%---------------------------------------%
@inproceedings{sasaki_kinji,
	author = "佐々木建昭",
	yomi = "Tateaki Sasaki",
	title = "近似代数(近似的代数計算) - 柔軟な数式処理を目指して -",
	booktitle = "日本応用数理学会平成７年度年会　配布資料",
	year = 1995
}
%---------------------------------------%
% 田中正次ほか，2段数陰的Runge-Kutta法について
%---------------------------------------%
@article{tanaka2i,
	author = "田中 正次 and 山下 忠志 and 山下 茂",
	yomi = "Masatsugu Tanaka",
	title = "2段数陰的{R}unge-{K}utta法について", 
	journal = "情報処理学会論文誌",
	volume = 36,
	number = 2,
	year = 1995,
	pages = "226-235"
}
%---------------------------------------%
% 田中正次ほか，3段数陰的Runge-Kutta法について
%---------------------------------------%
@article{tanaka3i,
	author = "田中 正次 and 山下 忠志 and 三村 和正 and 山下 茂",
	yomi = "Masatsugu Tanaka",
	title = "3段数陰的{R}unge-{K}utta法について", 
	journal = "情報処理学会論文誌",
	volume = 36,
	number = 3,
	year = 1995,
	pages = "509 - 518"
}
%---------------------------------------%
% 大林昇，
% 常微分方程式の高精度数値解法の研究，
% 博士論文,
% 1995.
%---------------------------------------%
@phdthesis{obayashi,
	author = "大林 昇",
	yomi = "Noboru Obayashi",
	title = "常微分方程式の高精度数値解法の研究",
	school = "日本大学",
	year = 1995
}

%---------------------------------------%
% 
%---------------------------------------%
@book{ando,
	author="安藤洋美",
	title="最小二乗法の歴史",
	publisher="現代数学社",
	year="1995"
}

%---------------------------------------%
% 奥村晴彦,
% LaTeX2e美文書作成入門,
% 技術評論社,
% 1997.
%---------------------------------------%
@book{okumura_latex2e,
	author = "奥村 晴彦",
	yomi = "Haruhiko Okumura",
	title = "\LaTeX2e 美文書作成入門",
	publisher = "技術評論社",
	year = 1997,
	memo = "LaTeX入門のpLaTeX2e対応版"
}

%---------------------------------------%
% Hairer & Wanner
% Solving Ordinary Differential Equations I, II,
% Springer-Verlag,
% 1996.
%---------------------------------------%
@book{hairer,
	author="E.Hairer, S.P.N{\o}rsett and G.Wanner",
	title="Solving Ordinary Differential Equations",
	publisher="Springer-Verlag",
	year=1996,
	memo="翻訳終了 -> hairer_jp"
}
@book{hairer2,
	author="E. Hairer and G. Wanner",
	title="Solving Ordinary Differential Equations II",
	publisher="Springer-Verlag",
	year=1996,
	memo="翻訳終了 -> hairer2_jp"
}
%---------------------------------------%
% Golub                                 %
%---------------------------------------%
@book{golub,
	author="G.H.Golub and C.F.van Loan",
	title="Matrix Computations (3rd ed.)",
	publisher="Johns Hopkins University Press",
	year=1996
}
%---------------------------------------%
%                                       %
%---------------------------------------%
@article{kouya_ieee754,
	author = "幸谷 智紀 and 永坂 秀子",
	yomi = "Tomonori Kouya",
	title = "{IEEE}754規格を利用した丸め誤差の測定法について", 
	journal = "日本応用数理学会論文誌",
	volume = 7,
	number = 1,
	year = 1997,
	pages = "79 - 89"
}
%---------------------------------------%
% Jean-Michel Muller, "Elementary Functions. Algorithm and Implementation"
%---------------------------------------%
@book{muller,
	author = "J.-M. Muller",
	title = "Elementary Functions. Algorithm and Implementation",
	publisher = {Birkh\"{a}user},
	edition = "First",
	isbn = "0-8176-3990-x",
	year = 1997
}
%---------------------------------------%
% 松尾ほか, 行列の条件数の推定方法の数値的評価
%---------------------------------------%
@article{matsuo_cond,
	author = "松尾宇泰 and 杉原正顯 and 森正武",
	yomi = "Takayasu Matsuo",
	title = "行列の条件数の推定方法の数的評価",
	journal = "日本応用数理学会論文誌",
	volume = 7,
	number = 3,
	year = 1997,
	pages = "307 - 319"
}
%---------------------------------------%
%                                       %
%---------------------------------------%
@article{hou,
	author = "Shui-Hung Hou",
	title = "A Simple Proof of the {L}everrier-{F}addeev Characteristic Polynomial Algorithm", 
	journal = "SIAM Review",
	volume = 40,
	number = 3,
	year = 1998,
	pages = "706 - 709"
}
%---------------------------------------%
%                                       %
%---------------------------------------%
@phdthesis{murofushi,
	author = "室伏 誠",
	yomi = "Makoto Murofushi",
	title = "有限桁計算における{R}ichardsonの補外法による丸め誤差評価の研究",
	school = "日本大学",
	year = 1998
}
%---------------------------------------%
% 
%---------------------------------------%
@article{expokit,
	author = {Sidje, R.B.},
	title = {{\sc Expokit:} {A} software package for computing matrix exponentials},
	journal = {ACM Trans. Math. Softw.},
	volume = {24},
	number = {1},
	pages = {130-156},
	year = {1998},
	url = {www.expokit.org}
}
%---------------------------------------%
% 
%---------------------------------------%
@book{nikkeibp_microprocessor,
	author="神保進一",
	title="最新マイクロプロセサテクノロジ",
	publisher="日経BP社",
	year="1999"
}

%---------------------------------------%
% 
%---------------------------------------%
@book{c99,
	author="ISO/IEC",
	title="Programming Languages --- C, ISO/IEC 9899:1999(E)",
	publisher="ISO",
	year="1999"
}

%---------------------------------------%
%---------------------------------------%
% 2000s
%---------------------------------------%
%---------------------------------------%

%---------------------------------------%
% J\"{u} rgen Gerhard et al,
% MuPAD Tutorial English Edition,
% Springer-Verlag,
% 2000.
%---------------------------------------%
@book{mupad_tutorial,
	author = "J{\"{u}}rger Gerhard and Walter Oevel and Frank Postel and Stefan Wehmeier",
	title = "MuPAD Tutorial English Edition",
	publisher = "Springer-Verlag",
	year = 2000
}
%---------------------------------------%
%                                       %
%---------------------------------------%
@book{mitsui_koto,
	author = "三井 斌友 and 小藤 俊幸",
	yomi = "Taketomo Mitsui",
	title = "常微分方程式の解法",
	publisher = "共立出版",
	year = 2000
}
%---------------------------------------%
% 鈴木千里,
% 数値関数解析の基礎,
% 森北出版,
% 2001.
%---------------------------------------%
@book{chisato,
	author = "鈴木 千里",
	yomi = "Chisato Suzuki",
	title = "数値関数解析の基礎",
	publisher = "森北出版",
	year = 2001
}
%----------------------------------------------------------%
%
%----------------------------------------------------------%
@book{okumura_java_algorithm,
	author="奥村 晴彦他",
	yomi="Okumura",
	title="Javaによるアルゴリズム事典",
	publisher="技術評論社",
	year="2003"
}
%---------------------------------------%
% 
%---------------------------------------%
@article{moler_matrix_exp_updated,
	author = "C. Moler and C.Van Loan",
	title = "{N}inteen {D}ubious {W}ays to {C}ompute the {E}xponential of a {M}atrix, {T}wenty-Five {Y}ears {L}ater", 
	journal = "SIAM Review",
	volume = 45,
	number = 1,
	year = 2003,
	pages = "3 - 49"
}
%---------------------------------------%
% NIST Digital Library of Mathematical Functions
%---------------------------------------%
@article {nist_digital_library,
   author = {Lozier, Daniel W.},
   title = {{NIST} Digital Library of Mathematical Functions},
   journal = {Annals of Mathematics and Artificial Intelligence},
   publisher = {Springer Netherlands},
   issn = {1012-2443},
   keyword = {Computer Science},
   pages = {105-119},
   volume = {38},
   issue = {1},
   year = {2003}
}

%----------------------------------------------------------%
%
%----------------------------------------------------------%
@book{ninomiya_tsubo,
	author="二宮市三編",
	yomi="ninomiya",
	title="数値計算のつぼ",
	publisher="共立出版",
	year="2004"
}

%---------------------------------------%
%                                       %
%---------------------------------------%
@article{na_diff2,
	author = "福井 義成",
	yomi = "Yosinari Fukui",
	title = "数値微分における補外法の誤差", 
	journal = "日本応用数理学会論文誌",
	volume = 15,
	number = 4,
	year = 2005,
	pages = "521 - 535"
}
%---------------------------------------%
% Stewart_1                             %
%---------------------------------------%
@book{stewart_1,
	author="G.W.Stewart",
	title="Matrix Algorithms Volume I: Basic Decompositions",
	publisher="SIAM",
	year=1998
}
%---------------------------------------%
% Stewart_2                             %
%---------------------------------------%
@book{stewart_2,
	author="G.W.Stewart",
	title="Matrix Algorithms Volume II:  Eigensystems",
	publisher="SIAM",
	year=2001
}
%---------------------------------------%
% Jean-Michel Muller, "Elementary Functions. Algorithm and Implementation"
%---------------------------------------%
@book{muller_2nd,
	author = "J.-M. Muller",
	title = "Elementary Functions. Algorithm and Implementation",
	publisher = {Birkh\"{a}user},
	edition = "Second",
	isbn = "0-8176-4372-9",
	year = 2005
}
%---------------------------------------%
% Academic Paper discribing MPFR
%	author = {Laurent Fousse and Guillaume Hanrot and Vincent Lef\`{e}vre and Patrick P\'{e}lissier and Paul Zimmermann},
%---------------------------------------%
@article{mpfr_paper,
	author = {L.Fousse and G.Hanrot and V.Lef\`{e}vre and P.P\'{e}lissier and P.Zimmermann},
	title = {{MPFR}: A multiple-precision binary floating-point library with correct rounding},
	journal = {ACM Trans. Math. Softw.},
	volume = {33},
	number = {2},
	year = {2007},
	issn = {0098-3500},
	pages = {13},
	doi = {http://doi.acm.org/10.1145/1236463.1236468},
	publisher = {ACM Press},
	address = {New York, NY, USA},
}
%---------------------------------------%
% 幸谷智紀                              %
% Jacobi行列計算法                      %
%---------------------------------------%
@article{kouya_jacobi,
	author = "幸谷 智紀",
	yomi = "Tomonori Kouya",
	title = "多倍長浮動小数点演算と補外を用いた数値微分法に基づくJacobi行列計算",
	journal = "日本応用数理学会論文誌",
	volume = 17,
	number = 2,
	year = 2007,
	pages = "173 - 182"
}
%---------------------------------------%
% 幸谷智紀                              %
% Gauss型積分公式の任意精度分点計算     %
%---------------------------------------%
@article{kouya_gauss,
	author = "幸谷 智紀",
	yomi = "Tomonori Kouya",
	title = "実用的な古典的誤差評価法の提案とGauss型積分公式の分点計算への応用について",
	journal = "情報処理学会論文誌",
	volume = 48,
	number = "SIG18(ACS20)",
	year = 2007,
	pages = "1 - 11"
}
%---------------------------------------%
% LAPACK Working Note 165: Error Bounds from Extra Precise Iterative Refinement
%---------------------------------------%
@TechReport{lawn165,
	URL	      = "http://www.netlib.org/lapack/lawnspdf/lawn165.pdf",
	number        = 165,
	institution   = "LAPACK Working Note",
	author        = "James W. Demmel and Yozo Hida and W. Kahan and
        	         Xiaoye S. Li and Soni Mukherjee and E. Jason Riedy",
	title	      = "Error Bounds from Extra Precise Iterative
                	 Refinement",
	utknumber     = "UT-CS-05-547",
	month	      = feb,
	year	      = 2005,
}
%---------------------------------------%
% LAPACK Working Note 175: Exploiting the Performance of 32 bit Floating Point Arithmetic in Obtaining 64 bit Accuracy (Revisiting Iterative Refinement for Linear Systems)
%---------------------------------------%
@TechReport{lawn175,
	URL	       = "http://www.netlib.org/lapack/lawnspdf/lawn175.pdf",
	number       = 175,
	institution  = "LAPACK Working Note",
	author       = "Julie Langou and Julien Langou and Piotr Luszczek
        	        and Jakub Kurzak and Alfredo Buttari and Jack
                	J. Dongarra",
	title	       = "Exploiting the Performance of 32 bit Floating Point
	                Arithmetic in Obtaining 64 bit Accuracy (Revisiting
	                Iterative Refinement for Linear Systems)",
	month	       = jun,
	year	       = 2006,
}
%---------------------------------------%
% Buttari et.al., "Mixed Precision Iterative Refinement Techniques for the Solution of Dense Linear System"
%---------------------------------------%
@article{mixed_prec_iterative_ref,
	author = {A.Buttari and J.Dogarra and Julie Langou and Julien Langou and P.Luszczek and J.Karzak},
	title = {Mixed Precision Iterative Refinement Techniques for the Solution of Dense Linear System},
	journal = {The International Journal of High Performance Computing Applications},
	volume = {21},
	number = {4},
	year = {2007},
	pages = {457-466},
	doi = {http://doi.acm.org/10.1177/1094342007084026},
	publisher = {SAGE Publications}
}

%---------------------------------------%
% 小武守恒，藤井昭宏，長谷川秀彦，西田晃. 倍精度と4倍精度の混合型反復法の提案. ハイパフォーマンスコンピューティングと計算科学シンポジウム (HPCS2007) 論文集
%---------------------------------------%
@article{lis_mixed_prec_krylov,
	author = "小武守恒 and 藤井昭宏 and 長谷川秀彦 and 西田晃",
	title = "倍精度と4倍精度の混合型反復法の提案",
	journal = "ハイパフォーマンスコンピューティングと計算科学シンポジウム (HPCS2007) 論文集",
	volume = "2007",
	year = "2007",
	pages = "9-16"
}

%---------------------------------------%
% E.ハイラー, G.ヴァンナー
% 常微分方程式の数値解法I 基礎編, II 応用編
% シュプリンガージャパン,
% 2007, 2008.
%---------------------------------------%
@book{hairer_jp,
	author="E.ハイラー and S.P.ネルセット and G.ヴァンナー and 三井斌友・監訳",
	title="常微分方程式の数値解法 I 基礎編",
	publisher="シュプリンガー・ジャパン",
	year=2007,
	memo="原著 -> hairer"
}
@book{hairer2_jp,
	author="E.ハイラー and G.ヴァンナー and 三井斌友・監訳",
	title="常微分方程式の数値解法 II 応用編",
	publisher="シュプリンガー・ジャパン",
	year=2008,
	memo="原著 -> hairer2"
}
%---------------------------------------%
% Buttari et al. "Using Mixed Precision for Sparse Matrix Computations to Enhance the Performance while Achieving 64-bit Accuracy"
%---------------------------------------%
@article{mixed_prec_iterative_ref_sparse,
 author = {A.Buttari and J.Dongarra and J.Kurzakand P.Luszczek and S.Tomov},
 title = {Using Mixed Precision for Sparse Matrix Computations to Enhance the Performance while Achieving 64-bit Accuracy},
 journal = {ACM Trans. Math. Softw.},
 volume = {34},
 number = {4},
 year = {2008},
 issn = {0098-3500},
 pages = {1--22},
 doi = {http://doi.acm.org/10.1145/1377596.1377597},
 publisher = {ACM},
 address = {New York, NY, USA},
 }

%---------------------------------------%
% 幸谷「倍精度と多倍長精度浮動小数点数を用いた反復改良法による連立一次方程式の高精度高速解法について」
%---------------------------------------%
@article{tkouya_mixed_prec_linear_eq,
author="幸谷 智紀",
title="倍精度と多倍長精度浮動小数点数を用いた反復改良法による連立一次方程式の高精度高速解法について",
journal="日本応用数理学会論文誌",
ISSN="09172246",
publisher="日本応用数理学会",
year="2009-09-25",
volume="19",
number="3",
pages="313-328",
URL="http://ci.nii.ac.jp/naid/110007360449/",
DOI="",
}
%---------------------------------------%
% NIST Handbook of Mathematical Functions
%---------------------------------------%
@book{nist_handbook,
 author = {Olver, Frank W. and Lozier, Daniel W. and Boisvert, Ronald F. and Clark, Charles W.},
 title = {NIST Handbook of Mathematical Functions},
 year = {2010},
 isbn = {0521140633, 9780521140638},
 edition = {1st},
 publisher = {Cambridge University Press},
 address = {New York, NY, USA},
} %---------------------------------------%
% 
%---------------------------------------%