gsl-ref.texi

开放gsl矩阵运算

* Least-Squares Fitting::       
* Nonlinear Least-Squares Fitting::  
* Physical Constants::          
* IEEE floating-point arithmetic::  
* Debugging Numerical Programs::  
* Contributors to GSL::         
* Autoconf Macros::             
* GSL CBLAS Library::           
* GNU General Public License::  
* GNU Free Documentation License::  
* Function Index::              
* Variable Index::              
* Type Index::                  
* Concept Index::               
@end menu

@node  Introduction, Using the library, Top, Top
@chapter Introduction
@include intro.texi

@node Using the library, Error Handling, Introduction, Top
@chapter Using the library
@cindex usage, compiling application programs
@include usage.texi

@node Error Handling, Mathematical Functions, Using the library, Top
@chapter Error Handling
@cindex Errors
@include err.texi

@node  Mathematical Functions, Complex Numbers, Error Handling, Top
@chapter Mathematical Functions
@include math.texi

@node Complex Numbers, Roots of Polynomials, Mathematical Functions, Top
@chapter Complex Numbers
@include complex.texi

@node  Roots of Polynomials, Special Functions, Complex Numbers, Top
@chapter Roots of Polynomials
@include poly.texi

@node Special Functions, Vectors and Matrices, Roots of Polynomials, Top
@chapter Special Functions
@include specfunc.texi

@node Vectors and Matrices, Permutations, Special Functions, Top
@chapter Vectors and Matrices
@include vectors.texi

@node   Permutations, Sorting, Vectors and Matrices, Top
@chapter Permutations
@include permutation.texi

@node  Sorting, BLAS Support, Permutations, Top
@chapter Sorting
@include sort.texi

@node BLAS Support, Linear Algebra, Sorting, Top
@chapter BLAS Support
@include blas.texi

@node Linear Algebra, Eigensystems, BLAS Support, Top
@chapter Linear Algebra
@include linalg.texi

@node Eigensystems, Fast Fourier Transforms, Linear Algebra, Top
@chapter Eigensystems
@include eigen.texi

@node Fast Fourier Transforms, Numerical Integration, Eigensystems, Top
@chapter Fast Fourier Transforms (FFTs)
@include fft.texi

@node Numerical Integration, Random Number Generation, Fast Fourier Transforms, Top
@chapter Numerical Integration
@include integration.texi

@node Random Number Generation, Quasi-Random Sequences, Numerical Integration, Top
@chapter Random Number Generation
@include rng.texi

@node Quasi-Random Sequences, Random Number Distributions, Random Number Generation, Top
@chapter Quasi-Random Sequences
@include qrng.texi

@node  Random Number Distributions, Statistics, Quasi-Random Sequences, Top
@chapter Random Number Distributions
@include randist.texi

@node Statistics, Histograms, Random Number Distributions, Top
@chapter Statistics
@include statistics.texi

@node Histograms, N-tuples, Statistics, Top
@chapter Histograms
@include histogram.texi

@node  N-tuples, Monte Carlo Integration, Histograms, Top
@chapter N-tuples
@include ntuple.texi

@node Monte Carlo Integration, Simulated Annealing, N-tuples, Top
@chapter Monte Carlo Integration
@include montecarlo.texi

@node Simulated Annealing, Ordinary Differential Equations, Monte Carlo Integration, Top
@chapter Simulated Annealing
@include siman.texi

@node Ordinary Differential Equations, Interpolation, Simulated Annealing, Top
@chapter Ordinary Differential Equations
@include ode-initval.texi

@node   Interpolation, Numerical Differentiation, Ordinary Differential Equations, Top
@chapter Interpolation
@include interp.texi

@node  Numerical Differentiation, Chebyshev Approximations, Interpolation, Top
@chapter Numerical Differentiation
@include diff.texi

@node  Chebyshev Approximations, Series Acceleration, Numerical Differentiation, Top
@chapter Chebyshev Approximations
@include cheb.texi

@node Series Acceleration, Discrete Hankel Transforms, Chebyshev Approximations, Top
@chapter Series Acceleration
@include sum.texi

@node  Discrete Hankel Transforms, One dimensional Root-Finding, Series Acceleration, Top
@chapter Discrete Hankel Transforms
@include dht.texi

@node  One dimensional Root-Finding, One dimensional Minimization, Discrete Hankel Transforms, Top
@chapter One dimensional Root-Finding
@include roots.texi

@node   One dimensional Minimization, Multidimensional Root-Finding, One dimensional Root-Finding, Top
@chapter One dimensional Minimization
@include min.texi

@node  Multidimensional Root-Finding, Multidimensional Minimization, One dimensional Minimization, Top
@chapter Multidimensional Root-Finding
@include multiroots.texi

@node   Multidimensional Minimization, Least-Squares Fitting, Multidimensional Root-Finding, Top
@chapter Multidimensional Minimization
@include multimin.texi

@node Least-Squares Fitting, Nonlinear Least-Squares Fitting, Multidimensional Minimization, Top
@chapter Least-Squares Fitting
@include fitting.texi

@node Nonlinear Least-Squares Fitting, Physical Constants, Least-Squares Fitting, Top
@chapter Nonlinear Least-Squares Fitting
@include multifit.texi

@node  Physical Constants, IEEE floating-point arithmetic, Nonlinear Least-Squares Fitting, Top
@chapter Physical Constants
@include const.texi

@node IEEE floating-point arithmetic, Debugging Numerical Programs, Physical Constants, Top
@chapter IEEE floating-point arithmetic
@include ieee754.texi

@node Debugging Numerical Programs, Contributors to GSL, IEEE floating-point arithmetic, Top
@appendix Debugging Numerical Programs
@include debug.texi

@node Contributors to GSL, Autoconf Macros, Debugging Numerical Programs, Top
@appendix Contributors to GSL

(See the AUTHORS file in the distribution for up-to-date information.)

@table @strong
@item Mark Galassi
Conceived GSL (with James Theiler) and wrote the design document.  Wrote
the simulated annealing package and the relevant chapter in the manual.

@item James Theiler
Conceived GSL (with Mark Galassi).  Wrote the random number generators
and the relevant chapter in this manual.

@item Jim Davies
Wrote the statistical routines and the relevant chapter in this
manual.

@item Brian Gough
FFTs, numerical integration, random number generators and distributions,
root finding, minimization and fitting, polynomial solvers, complex
numbers, physical constants, permutations, vector and matrix functions,
histograms, statistics, ieee-utils, revised @sc{cblas} Level 2 & 3, matrix
decompositions and eigensystems.

@item Reid Priedhorsky 
Wrote and documented the initial version of the root finding routines
while at Los Alamos National Laboratory, Mathematical Modeling and
Analysis Group.  
@comment email: [e-mail]

@item Gerard Jungman
Series acceleration, ODEs, BLAS, Linear Algebra, Eigensystems,
Hankel Transforms.

@item Mike Booth
Wrote the Monte Carlo library.

@item Jorma Olavi T@"ahtinen 
Wrote the initial complex arithmetic functions.

@item  Thomas Walter 
Wrote the initial heapsort routines and cholesky decomposition.

@item  Fabrice Rossi
Multidimensional minimization.

@end table

@node  Autoconf Macros, GSL CBLAS Library, Contributors to GSL, Top
@appendix Autoconf Macros

@noindent
The following autoconf test will check for extern inline,

@smallexample
dnl Check for "extern inline", using a modified version
dnl of the test for AC_C_INLINE from acspecific.mt
dnl
AC_CACHE_CHECK([for extern inline], ac_cv_c_extern_inline,
[ac_cv_c_extern_inline=no
AC_TRY_COMPILE([extern $ac_cv_c_inline double foo(double x);
extern $ac_cv_c_inline double foo(double x) @{ return x+1.0; @};
double foo (double x) @{ return x + 1.0; @};], 
[  foo(1.0)  ],
[ac_cv_c_extern_inline="yes"])
])

if test "$ac_cv_c_extern_inline" != no ; then
  AC_DEFINE(HAVE_INLINE,1)
  AC_SUBST(HAVE_INLINE)
fi
@end smallexample

@node GSL CBLAS Library, GNU General Public License, Autoconf Macros, Top
@appendix GSL CBLAS Library
@include cblas.texi

@comment @node  Copyright, GNU General Public License, Contributors to GSL, Top
@comment @unnumbered Copyright
@comment @include science.texi

@node  GNU General Public License, GNU Free Documentation License, GSL CBLAS Library, Top
@unnumbered GNU General Public License
@include gpl.texi

@node GNU Free Documentation License, Function Index, GNU General Public License, Top
@unnumbered GNU Free Documentation License
@include fdl.texi

@comment htmlhelp: @bye

@iftex
@normalbottom
@end iftex

@node Function Index, Variable Index, GNU Free Documentation License, Top
@unnumbered Function Index

@printindex fn

@node Variable Index, Type Index, Function Index, Top
@unnumbered Variable Index

@printindex vr

@node Type Index, Concept Index, Variable Index, Top
@unnumbered Type Index

@printindex tp

@node Concept Index,  , Type Index, Top
@unnumbered Concept Index

@printindex cp

@ifclear publish
@comment Use @setchapternewpage odd to ensure that the contents starts 
@comment on an odd page so that it can always be moved to the front when 
@comment printing two-up.
@setchapternewpage odd
@contents
@end ifclear

@ifset publish
@comment final page must be blank for printed version
@headings off
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@end ifset
@bye