     [file version.texi not included]

GSL
***

This file documents the GNU Scientific Library (GSL), a collection of numerical routines for scientific computing.  It corresponds to release VERSION of the library.  Please report any errors in this manual to bug-gsl@gnu.org.

More information about GSL can be found at the project homepage, http://www.gnu.org/software/gsl/.

Printed copies of this manual can be purchased from Network Theory Ltd at http://www.network-theory.co.uk/gsl/manual/. The money raised from sales of the manual helps support the development of GSL.

A Japanese translation of this manual is available from the GSL project homepage thanks to Daisuke Tominaga.

Copyright © 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013 The GSL Team.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.3 or any later version published by the Free Software Foundation; with no Invariant Sections and no cover texts.  A copy of the license is included in the section entitled ``GNU Free Documentation License''.

Introduction
************

     [file intro.texi not included]

Using the library
*****************

     [file usage.texi not included]

Error Handling
**************

     [file err.texi not included]

Mathematical Functions
**********************

     [file math.texi not included]

Complex Numbers
***************

     [file complex.texi not included]

Polynomials
***********

     [file poly.texi not included]

Special Functions
*****************

     [file specfunc.texi not included]

Vectors and Matrices
********************

     [file vectors.texi not included]

Permutations
************

     [file permutation.texi not included]

Combinations
************

     [file combination.texi not included]

Multisets
*********

     [file multiset.texi not included]

Sorting
*******

     [file sort.texi not included]

BLAS Support
************

     [file blas.texi not included]

Linear Algebra
**************

     [file linalg.texi not included]

Eigensystems
************

     [file eigen.texi not included]

Fast Fourier Transforms (FFTs)
******************************

     [file fft.texi not included]

Numerical Integration
*********************

     [file integration.texi not included]

Random Number Generation
************************

     [file rng.texi not included]

Quasi-Random Sequences
**********************

     [file qrng.texi not included]

Random Number Distributions
***************************

     [file randist.texi not included]

Statistics
**********

     [file statistics.texi not included]

Histograms
**********

     [file histogram.texi not included]

N-tuples
********

     [file ntuple.texi not included]

Monte Carlo Integration
***********************

     [file montecarlo.texi not included]

Simulated Annealing
*******************

     [file siman.texi not included]

Ordinary Differential Equations
*******************************

     [file ode-initval.texi not included]

Interpolation
*************

     [file interp.texi not included]

Numerical Differentiation
*************************

     [file diff.texi not included]

Chebyshev Approximations
************************

     [file cheb.texi not included]

Series Acceleration
*******************

     [file sum.texi not included]

Wavelet Transforms
******************

     [file dwt.texi not included]

Discrete Hankel Transforms
**************************

     [file dht.texi not included]

One dimensional Root-Finding
****************************

     [file roots.texi not included]

One dimensional Minimization
****************************

     [file min.texi not included]

Multidimensional Root-Finding
*****************************

     [file multiroots.texi not included]

Multidimensional Minimization
*****************************

     [file multimin.texi not included]

Least-Squares Fitting
*********************

     [file fitting.texi not included]

Nonlinear Least-Squares Fitting
*******************************

     [file multifit.texi not included]

Basis Splines
*************

     [file bspline.texi not included]

Physical Constants
******************

     [file const.texi not included]

IEEE floating-point arithmetic
******************************

     [file ieee754.texi not included]

Debugging Numerical Programs
****************************

     [file debug.texi not included]

Contributors to GSL
*******************

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

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

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

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

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 CBLAS Level 2 & 3, matrix decompositions, eigensystems, cumulative distribution functions, testing, documentation and releases.

Reid Priedhorsky
     Wrote and documented the initial version of the root finding routines while at Los Alamos National Laboratory, Mathematical Modeling and Analysis Group.

Gerard Jungman
     Special Functions, Series acceleration, ODEs, BLAS, Linear Algebra, Eigensystems, Hankel Transforms.

Mike Booth
     Wrote the Monte Carlo library.

Jorma Olavi Tähtinen
     Wrote the initial complex arithmetic functions.

Thomas Walter
     Wrote the initial heapsort routines and Cholesky decomposition.

Fabrice Rossi
     Multidimensional minimization.

Carlo Perassi
     Implementation of the random number generators in Knuth's Seminumerical Algorithms, 3rd Ed.

Szymon Jaroszewicz
     Wrote the routines for generating combinations.

Nicolas Darnis
     Wrote the cyclic functions and the initial functions for canonical permutations.

Jason H. Stover
     Wrote the major cumulative distribution functions.

Ivo Alxneit
     Wrote the routines for wavelet transforms.

Tuomo Keskitalo
     Improved the implementation of the ODE solvers and wrote the ode-initval2 routines.

Lowell Johnson
     Implementation of the Mathieu functions.

Patrick Alken
     Implementation of nonsymmetric and generalized eigensystems, B-splines, and robust linear regression.

Rhys Ulerich
     Wrote the multiset routines.

Pavel Holoborodko
     Wrote the fixed order Gauss-Legendre quadrature routines.

Pedro Gonnet
     Wrote the CQUAD integration routines.

Thanks to Nigel Lowry for help in proofreading the manual.

The non-symmetric eigensystems routines contain code based on the LAPACK linear algebra library.  LAPACK is distributed under the following license:

     Copyright (c) 1992-2006 The University of Tennessee.  All rights reserved.

     Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:

     * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.

     * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer listed in this license in the documentation and/or other materials provided with the distribution.

     * Neither the name of the copyright holders nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission.

     THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

Autoconf Macros
***************

     [file autoconf.texi not included]

GSL CBLAS Library
*****************

     [file cblas.texi not included]

GNU General Public License
**************************

     [file gpl.texi not included]

GNU Free Documentation License
******************************

     [file fdl.texi not included]