\entry{license of GSL}{1}{license of GSL}
\entry{GNU General Public License}{1}{GNU General Public License}
\entry{free software, explanation of}{1}{free software, explanation of}
\entry{obtaining GSL}{2}{obtaining GSL}
\entry{downloading GSL}{2}{downloading GSL}
\entry{mailing list for GSL announcements}{2}{mailing list for GSL announcements}
\entry{gsl-announce mailing list}{2}{gsl-announce mailing list}
\entry{warranty (none)}{2}{warranty (none)}
\entry{reporting bugs in GSL}{2}{reporting bugs in GSL}
\entry{bugs, how to report}{2}{bugs, how to report}
\entry{bug-gsl mailing list}{2}{bug-gsl mailing list}
\entry{mailing list, bug-gsl}{2}{mailing list, bug-gsl}
\entry{mailing list archives}{3}{mailing list archives}
\entry{website, developer information}{3}{website, developer information}
\entry{contacting the GSL developers}{3}{contacting the GSL developers}
\entry{conventions, used in manual}{3}{conventions, used in manual}
\entry{examples, conventions used in}{3}{examples, conventions used in}
\entry{shell prompt}{3}{shell prompt}
\entry{$, shell prompt}{3}{\code {$}, shell prompt}
\entry{dollar sign $, shell prompt}{3}{dollar sign \code {$}, shell prompt}
\entry{usage, compiling application programs}{4}{usage, compiling application programs}
\entry{standards conformance, ANSI C}{4}{standards conformance, ANSI C}
\entry{ANSI C, use of}{4}{ANSI C, use of}
\entry{C extensions, compatible use of}{4}{C extensions, compatible use of}
\entry{compatibility}{4}{compatibility}
\entry{compiling programs, include paths}{4}{compiling programs, include paths}
\entry{including GSL header files}{4}{including GSL header files}
\entry{header files, including}{4}{header files, including}
\entry{compiling programs, library paths}{4}{compiling programs, library paths}
\entry{linking with GSL libraries}{4}{linking with GSL libraries}
\entry{libraries, linking with}{4}{libraries, linking with}
\entry{shared libraries}{5}{shared libraries}
\entry{libraries, shared}{5}{libraries, shared}
\entry{LD_LIBRARY_PATH}{5}{LD_LIBRARY_PATH}
\entry{inline functions}{6}{inline functions}
\entry{HAVE_INLINE}{6}{HAVE_INLINE}
\entry{long double}{6}{long double}
\entry{alternative optimized functions}{7}{alternative optimized functions}
\entry{optimized functions, alternatives}{7}{optimized functions, alternatives}
\entry{C++, compatibility}{9}{C++, compatibility}
\entry{aliasing of arrays}{9}{aliasing of arrays}
\entry{code reuse in applications}{9}{code reuse in applications}
\entry{source code, reuse in applications}{9}{source code, reuse in applications}
\entry{Errors}{10}{Errors}
\entry{error handling}{10}{error handling}
\entry{error codes}{10}{error codes}
\entry{Error handlers}{11}{Error handlers}
\entry{error handling macros}{12}{error handling macros}
\entry{elementary functions}{15}{elementary functions}
\entry{mathematical functions, elementary}{15}{mathematical functions, elementary}
\entry{mathematical constants, defined as macros}{15}{mathematical constants, defined as macros}
\entry{numerical constants, defined as macros}{15}{numerical constants, defined as macros}
\entry{constants, mathematical --- defined as macros}{15}{constants, mathematical --- defined as macros}
\entry{macros for mathematical constants}{15}{macros for mathematical constants}
\entry{e, defined as a macro}{15}{e, defined as a macro}
\entry{pi, defined as a macro}{15}{pi, defined as a macro}
\entry{Euler's constant, defined as a macro}{15}{Euler's constant, defined as a macro}
\entry{infinity, defined as a macro}{15}{infinity, defined as a macro}
\entry{IEEE infinity, defined as a macro}{15}{IEEE infinity, defined as a macro}
\entry{NaN, defined as a macro}{15}{NaN, defined as a macro}
\entry{Not-a-number, defined as a macro}{15}{Not-a-number, defined as a macro}
\entry{IEEE NaN, defined as a macro}{15}{IEEE NaN, defined as a macro}
\entry{log1p}{16}{log1p}
\entry{logarithm, computed accurately near 1}{16}{logarithm, computed accurately near 1}
\entry{expm1}{16}{expm1}
\entry{exponential, difference from 1 computed accurately}{16}{exponential, difference from 1 computed accurately}
\entry{hypot}{16}{hypot}
\entry{euclidean distance function, hypot}{16}{euclidean distance function, hypot}
\entry{length, computed accurately using hypot}{16}{length, computed accurately using hypot}
\entry{acosh}{16}{acosh}
\entry{hyperbolic cosine, inverse}{16}{hyperbolic cosine, inverse}
\entry{inverse hyperbolic cosine}{16}{inverse hyperbolic cosine}
\entry{asinh}{16}{asinh}
\entry{hyperbolic sine, inverse}{16}{hyperbolic sine, inverse}
\entry{inverse hyperbolic sine}{16}{inverse hyperbolic sine}
\entry{atanh}{16}{atanh}
\entry{hyperbolic tangent, inverse}{16}{hyperbolic tangent, inverse}
\entry{inverse hyperbolic tangent}{16}{inverse hyperbolic tangent}
\entry{ldexp}{16}{ldexp}
\entry{frexp}{16}{frexp}
\entry{maximum of two numbers}{17}{maximum of two numbers}
\entry{minimum of two numbers}{17}{minimum of two numbers}
\entry{approximate comparison of floating point numbers}{18}{approximate comparison of floating point numbers}
\entry{safe comparison of floating point numbers}{18}{safe comparison of floating point numbers}
\entry{floating point numbers, approximate comparison}{18}{floating point numbers, approximate comparison}
\entry{complex numbers}{19}{complex numbers}
\entry{representations of complex numbers}{19}{representations of complex numbers}
\entry{polar form of complex numbers}{19}{polar form of complex numbers}
\entry{argument of complex number}{20}{argument of complex number}
\entry{magnitude of complex number}{20}{magnitude of complex number}
\entry{complex arithmetic}{20}{complex arithmetic}
\entry{conjugate of complex number}{21}{conjugate of complex number}
\entry{square root of complex number}{21}{square root of complex number}
\entry{power of complex number}{21}{power of complex number}
\entry{exponentiation of complex number}{21}{exponentiation of complex number}
\entry{logarithm of complex number}{21}{logarithm of complex number}
\entry{trigonometric functions of complex numbers}{21}{trigonometric functions of complex numbers}
\entry{sin of complex number}{21}{sin of complex number}
\entry{cosine of complex number}{21}{cosine of complex number}
\entry{tangent of complex number}{22}{tangent of complex number}
\entry{inverse complex trigonometric functions}{22}{inverse complex trigonometric functions}
\entry{hyperbolic functions, complex numbers}{23}{hyperbolic functions, complex numbers}
\entry{inverse hyperbolic functions, complex numbers}{23}{inverse hyperbolic functions, complex numbers}
\entry{polynomials, roots of}{25}{polynomials, roots of}
\entry{polynomial evaluation}{25}{polynomial evaluation}
\entry{evaluation of polynomials}{25}{evaluation of polynomials}
\entry{divided differences, polynomials}{25}{divided differences, polynomials}
\entry{evaluation of polynomials, in divided difference form}{25}{evaluation of polynomials, in divided difference form}
\entry{quadratic equation, solving}{25}{quadratic equation, solving}
\entry{cubic equation, solving}{26}{cubic equation, solving}
\entry{general polynomial equations, solving}{26}{general polynomial equations, solving}
\entry{Special Functions}{29}{Special Functions}
\entry{gsl_sf_result}{29}{gsl_sf_result}
\entry{gsl_sf_result_e10}{29}{gsl_sf_result_e10}
\entry{Airy functions}{30}{Airy functions}
\entry{Ai(x)}{30}{Ai(x)}
\entry{Bi(x)}{30}{Bi(x)}
\entry{Bessel functions}{32}{Bessel functions}
\entry{Cylindrical Bessel Functions}{32}{Cylindrical Bessel Functions}
\entry{Regular Cylindrical Bessel Functions}{32}{Regular Cylindrical Bessel Functions}
\entry{Irregular Cylindrical Bessel Functions}{32}{Irregular Cylindrical Bessel Functions}
\entry{Modified Cylindrical Bessel Functions}{33}{Modified Cylindrical Bessel Functions}
\entry{Regular Modified Cylindrical Bessel Functions}{33}{Regular Modified Cylindrical Bessel Functions}
\entry{Irregular Modified Cylindrical Bessel Functions}{34}{Irregular Modified Cylindrical Bessel Functions}
\entry{Spherical Bessel Functions}{34}{Spherical Bessel Functions}
\entry{Regular Spherical Bessel Functions}{34}{Regular Spherical Bessel Functions}
\entry{Irregular Spherical Bessel Functions}{35}{Irregular Spherical Bessel Functions}
\entry{Modified Spherical Bessel Functions}{36}{Modified Spherical Bessel Functions}
\entry{Regular Modified Spherical Bessel Functions}{36}{Regular Modified Spherical Bessel Functions}
\entry{Irregular Modified Spherical Bessel Functions}{36}{Irregular Modified Spherical Bessel Functions}
\entry{Fractional Order Bessel Functions}{37}{Fractional Order Bessel Functions}
\entry{Bessel Functions, Fractional Order}{37}{Bessel Functions, Fractional Order}
\entry{Regular Bessel Functions, Fractional Order}{37}{Regular Bessel Functions, Fractional Order}
\entry{Modified Bessel Functions, Fractional Order}{37}{Modified Bessel Functions, Fractional Order}
\entry{Regular Modified Bessel Functions - Fractional Order}{37}{Regular Modified Bessel Functions - Fractional Order}
\entry{Irregular Modified Bessel Functions, Fractional Order}{38}{Irregular Modified Bessel Functions, Fractional Order}
\entry{Zeros of Regular Bessel Functions}{38}{Zeros of Regular Bessel Functions}
\entry{Regular Bessel Functions, Zeros of}{38}{Regular Bessel Functions, Zeros of}
\entry{Clausen functions}{38}{Clausen functions}
\entry{Coulomb wave functions}{39}{Coulomb wave functions}
\entry{hydrogen atom}{39}{hydrogen atom}
\entry{coupling coefficients}{40}{coupling coefficients}
\entry{3-j symbols}{40}{3-j symbols}
\entry{6-j symbols}{40}{6-j symbols}
\entry{9-j symbols}{40}{9-j symbols}
\entry{Wigner coefficients}{40}{Wigner coefficients}
\entry{Racah coefficients}{40}{Racah coefficients}
\entry{Dawson function}{41}{Dawson function}
\entry{Debye functions}{42}{Debye functions}
\entry{dilogarithm}{42}{dilogarithm}
\entry{elementary operations}{42}{elementary operations}
\entry{multiplication}{42}{multiplication}
\entry{elliptic integrals}{43}{elliptic integrals}
\entry{Legendre forms of elliptic integrals}{43}{Legendre forms of elliptic integrals}
\entry{Carlson forms of Elliptic integrals}{43}{Carlson forms of Elliptic integrals}
\entry{Jacobi elliptic functions}{45}{Jacobi elliptic functions}
\entry{elliptic functions (Jacobi)}{45}{elliptic functions (Jacobi)}
\entry{error function}{45}{error function}
\entry{erf(x)}{45}{erf(x)}
\entry{erfc(x)}{45}{erfc(x)}
\entry{hazard function, normal distribution}{46}{hazard function, normal distribution}
\entry{Mill's ratio, inverse}{46}{Mill's ratio, inverse}
\entry{exponential function}{46}{exponential function}
\entry{exp}{46}{exp}
\entry{exponential integrals}{48}{exponential integrals}
\entry{integrals, exponential}{48}{integrals, exponential}
\entry{E1(x), E2(x), Ei(x)}{48}{E1(x), E2(x), Ei(x)}
\entry{hyperbolic integrals}{48}{hyperbolic integrals}
\entry{Shi(x)}{48}{Shi(x)}
\entry{Chi(x)}{48}{Chi(x)}
\entry{trigonometric integrals}{49}{trigonometric integrals}
\entry{Si(x)}{49}{Si(x)}
\entry{Ci(x)}{49}{Ci(x)}
\entry{arctangent integral}{49}{arctangent integral}
\entry{Fermi-Dirac function}{49}{Fermi-Dirac function}
\entry{complete Fermi-Dirac integrals}{49}{complete Fermi-Dirac integrals}
\entry{Fj(x), Fermi-Dirac integral}{49}{Fj(x), Fermi-Dirac integral}
\entry{incomplete Fermi-Dirac integral}{50}{incomplete Fermi-Dirac integral}
\entry{Fj(x,b), incomplete Fermi-Dirac integral}{50}{Fj(x,b), incomplete Fermi-Dirac integral}
\entry{gamma function}{50}{gamma function}
\entry{logarithm of Gamma function}{51}{logarithm of Gamma function}
\entry{Regulated Gamma function}{51}{Regulated Gamma function}
\entry{Reciprocal Gamma function}{51}{Reciprocal Gamma function}
\entry{Complex Gamma function}{51}{Complex Gamma function}
\entry{Taylor coefficients, computation of}{51}{Taylor coefficients, computation of}
\entry{factorial}{51}{factorial}
\entry{double factorial}{51}{double factorial}
\entry{logarithm of factorial}{51}{logarithm of factorial}
\entry{logarithm of double factorial}{52}{logarithm of double factorial}
\entry{combinatorial factor C(m,n)}{52}{combinatorial factor C(m,n)}
\entry{logarithm of combinatorial factor C(m,n)}{52}{logarithm of combinatorial factor C(m,n)}
\entry{Pochhammer symbol}{52}{Pochhammer symbol}
\entry{Apell symbol, see Pochammer symbol}{52}{Apell symbol, see Pochammer symbol}
\entry{logarithm of Pochhammer symbol}{52}{logarithm of Pochhammer symbol}
\entry{relative Pochhammer symbol}{52}{relative Pochhammer symbol}
\entry{incomplete Gamma function}{52}{incomplete Gamma function}
\entry{complementary incomplete Gamma function}{52}{complementary incomplete Gamma function}
\entry{non-normalized incomplete Gamma function}{53}{non-normalized incomplete Gamma function}
\entry{Beta function}{53}{Beta function}
\entry{logarithm of Beta function}{53}{logarithm of Beta function}
\entry{incomplete Beta function, normalized}{53}{incomplete Beta function, normalized}
\entry{normalized incomplete Beta function}{53}{normalized incomplete Beta function}
\entry{Beta function, incomplete normalized}{53}{Beta function, incomplete normalized}
\entry{Gegenbauer functions}{53}{Gegenbauer functions}
\entry{hypergeometric functions}{54}{hypergeometric functions}
\entry{confluent hypergeometric functions}{54}{confluent hypergeometric functions}
\entry{Laguerre functions}{55}{Laguerre functions}
\entry{confluent hypergeometric function}{55}{confluent hypergeometric function}
\entry{W function}{56}{W function}
\entry{Lambert function}{56}{Lambert function}
\entry{Legendre functions}{56}{Legendre functions}
\entry{spherical harmonics}{56}{spherical harmonics}
\entry{conical functions}{56}{conical functions}
\entry{hyperbolic space}{56}{hyperbolic space}
\entry{logarithm and related functions}{59}{logarithm and related functions}
\entry{power function}{59}{power function}
\entry{integer powers}{59}{integer powers}
\entry{psi function}{60}{psi function}
\entry{digamma function}{60}{digamma function}
\entry{polygamma functions}{60}{polygamma functions}
\entry{Synchrotron functions}{60}{Synchrotron functions}
\entry{Transport functions}{61}{Transport functions}
\entry{Trigonometric functions}{61}{Trigonometric functions}
\entry{sine function, special functions}{61}{sine function, special functions}
\entry{cosine function, special functions}{61}{cosine function, special functions}
\entry{hypot function, special functions}{61}{hypot function, special functions}
\entry{complex sinc function, special functions}{62}{complex sinc function, special functions}
\entry{complex sine function, special functions}{62}{complex sine function, special functions}
\entry{complex cosine function, special functions}{62}{complex cosine function, special functions}
\entry{complex log sine function, special functions}{62}{complex log sine function, special functions}
\entry{logarithm of sinh function, special functions}{62}{logarithm of sinh function, special functions}
\entry{logarithm of cosh function, special functions}{62}{logarithm of cosh function, special functions}
\entry{polar to rectangular conversion}{62}{polar to rectangular conversion}
\entry{rectangular to polar conversion}{62}{rectangular to polar conversion}
\entry{angular reduction}{62}{angular reduction}
\entry{reduction of angular variables}{62}{reduction of angular variables}
\entry{Zeta functions}{63}{Zeta functions}
\entry{MISCFUN}{65}{MISCFUN}
\entry{blocks}{66}{blocks}
\entry{vectors}{66}{vectors}
\entry{matrices}{66}{matrices}
\entry{vectors}{68}{vectors}
\entry{stride, of vector index}{68}{stride, of vector index}
\entry{vectors, range-checking}{69}{vectors, range-checking}
\entry{range-checking for vectors}{69}{range-checking for vectors}
\entry{Checkergcc}{69}{Checkergcc}
\entry{gcc extensions, range-checking}{69}{gcc extensions, range-checking}
\entry{Fortran range checking, equivalent in gcc}{69}{Fortran range checking, equivalent in gcc}
\entry{vectors, initializing}{70}{vectors, initializing}
\entry{initializing vectors}{70}{initializing vectors}
\entry{matrices}{76}{matrices}
\entry{physical dimension, matrices}{76}{physical dimension, matrices}
\entry{trailing dimension, matrices}{76}{trailing dimension, matrices}
\entry{leading dimension, matrices}{76}{leading dimension, matrices}
\entry{matrices, range-checking}{78}{matrices, range-checking}
\entry{range-checking for matrices}{78}{range-checking for matrices}
\entry{matrices, initializing}{78}{matrices, initializing}
\entry{initializing matrices}{78}{initializing matrices}
\entry{identity matrix}{78}{identity matrix}
\entry{matrix, identity}{78}{matrix, identity}
\entry{zero matrix}{78}{zero matrix}
\entry{matrix, zero}{78}{matrix, zero}
\entry{constant matrix}{78}{constant matrix}
\entry{matrix, constant}{78}{matrix, constant}
\entry{matrix diagonal}{81}{matrix diagonal}
\entry{diagonal, of a matrix}{81}{diagonal, of a matrix}
\entry{matrix subdiagonal}{82}{matrix subdiagonal}
\entry{subdiagonal, of a matrix}{82}{subdiagonal, of a matrix}
\entry{matrix superdiagonal}{82}{matrix superdiagonal}
\entry{superdiagonal, matrix}{82}{superdiagonal, matrix}
\entry{permutations}{88}{permutations}
\entry{identity permutation}{88}{identity permutation}
\entry{exchanging permutation elements}{89}{exchanging permutation elements}
\entry{swapping permutation elements}{89}{swapping permutation elements}
\entry{checking permutation for validity}{89}{checking permutation for validity}
\entry{testing permutation for validity}{89}{testing permutation for validity}
\entry{reversing a permutation}{89}{reversing a permutation}
\entry{inverting a permutation}{89}{inverting a permutation}
\entry{iterating through permutations}{89}{iterating through permutations}
\entry{combinations}{94}{combinations}
\entry{checking combination for validity}{95}{checking combination for validity}
\entry{testing combination for validity}{95}{testing combination for validity}
\entry{iterating through combinations}{95}{iterating through combinations}
\entry{sorting}{98}{sorting}
\entry{heapsort}{98}{heapsort}
\entry{comparison functions, definition}{98}{comparison functions, definition}
\entry{indirect sorting}{98}{indirect sorting}
\entry{sorting vector elements}{99}{sorting vector elements}
\entry{vector, sorting elements of}{99}{vector, sorting elements of}
\entry{indirect sorting, of vector elements}{99}{indirect sorting, of vector elements}
\entry{linear algebra, BLAS}{104}{linear algebra, BLAS}
\entry{matrix, operations,}{104}{matrix, operations,}
\entry{vector, operations}{104}{vector, operations}
\entry{BLAS}{104}{BLAS}
\entry{CBLAS}{104}{CBLAS}
\entry{Basic Linear Algebra Subroutines (BLAS)}{104}{Basic Linear Algebra Subroutines (BLAS)}
\entry{DOT, Level-1 BLAS}{105}{DOT, Level-1 BLAS}
\entry{NRM2, Level-1 BLAS}{106}{NRM2, Level-1 BLAS}
\entry{ASUM, Level-1 BLAS}{106}{ASUM, Level-1 BLAS}
\entry{AMAX, Level-1 BLAS}{106}{AMAX, Level-1 BLAS}
\entry{SWAP, Level-1 BLAS}{106}{SWAP, Level-1 BLAS}
\entry{COPY, Level-1 BLAS}{106}{COPY, Level-1 BLAS}
\entry{AXPY, Level-1 BLAS}{107}{AXPY, Level-1 BLAS}
\entry{SCAL, Level-1 BLAS}{107}{SCAL, Level-1 BLAS}
\entry{ROTG, Level-1 BLAS}{107}{ROTG, Level-1 BLAS}
\entry{Givens Rotation, BLAS}{107}{Givens Rotation, BLAS}
\entry{Modified Givens Rotation, BLAS}{107}{Modified Givens Rotation, BLAS}
\entry{Givens Rotation, Modified, BLAS}{107}{Givens Rotation, Modified, BLAS}
\entry{GEMV, Level-2 BLAS}{108}{GEMV, Level-2 BLAS}
\entry{TRMV, Level-2 BLAS}{108}{TRMV, Level-2 BLAS}
\entry{TRSV, Level-2 BLAS}{108}{TRSV, Level-2 BLAS}
\entry{SYMV, Level-2 BLAS}{109}{SYMV, Level-2 BLAS}
\entry{HEMV, Level-2 BLAS}{109}{HEMV, Level-2 BLAS}
\entry{GER, Level-2 BLAS}{109}{GER, Level-2 BLAS}
\entry{GERU, Level-2 BLAS}{109}{GERU, Level-2 BLAS}
\entry{GERC, Level-2 BLAS}{109}{GERC, Level-2 BLAS}
\entry{SYR, Level-2 BLAS}{110}{SYR, Level-2 BLAS}
\entry{HER, Level-2 BLAS}{110}{HER, Level-2 BLAS}
\entry{SYR2, Level-2 BLAS}{110}{SYR2, Level-2 BLAS}
\entry{HER2, Level-2 BLAS}{110}{HER2, Level-2 BLAS}
\entry{GEMM, Level-3 BLAS}{111}{GEMM, Level-3 BLAS}
\entry{SYMM, Level-3 BLAS}{111}{SYMM, Level-3 BLAS}
\entry{HEMM, Level-3 BLAS}{112}{HEMM, Level-3 BLAS}
\entry{TRMM, Level-3 BLAS}{112}{TRMM, Level-3 BLAS}
\entry{TRSM, Level-3 BLAS}{112}{TRSM, Level-3 BLAS}
\entry{SYRK, Level-3 BLAS}{113}{SYRK, Level-3 BLAS}
\entry{HERK, Level-3 BLAS}{113}{HERK, Level-3 BLAS}
\entry{SYR2K, Level-3 BLAS}{114}{SYR2K, Level-3 BLAS}
\entry{HER2K, Level-3 BLAS}{114}{HER2K, Level-3 BLAS}
\entry{linear algebra}{117}{linear algebra}
\entry{solution of linear systems, Ax=b}{117}{solution of linear systems, Ax=b}
\entry{matrix factorization}{117}{matrix factorization}
\entry{factorization of matrices}{117}{factorization of matrices}
\entry{LAPACK, recommended for linear algebra}{117}{LAPACK, recommended for linear algebra}
\entry{LU decomposition}{117}{LU decomposition}
\entry{linear systems, solution of}{117}{linear systems, solution of}
\entry{refinement of solutions in linear systems}{118}{refinement of solutions in linear systems}
\entry{iterative refinement of solutions in linear systems}{118}{iterative refinement of solutions in linear systems}
\entry{linear systems, refinement of solutions}{118}{linear systems, refinement of solutions}
\entry{inverse of a matrix, by LU decomposition}{118}{inverse of a matrix, by LU decomposition}
\entry{matrix inverse}{118}{matrix inverse}
\entry{determinant of a matrix, by LU decomposition}{118}{determinant of a matrix, by LU decomposition}
\entry{matrix determinant}{118}{matrix determinant}
\entry{logarithm of the determinant of a matrix}{118}{logarithm of the determinant of a matrix}
\entry{sign of the determinant of a matrix}{118}{sign of the determinant of a matrix}
\entry{QR decomposition}{118}{QR decomposition}
\entry{QR decomposition with column pivoting}{120}{QR decomposition with column pivoting}
\entry{SVD}{121}{SVD}
\entry{singular value decomposition}{121}{singular value decomposition}
\entry{Cholesky decomposition}{122}{Cholesky decomposition}
\entry{square root of a matrix, Cholesky decomposition}{122}{square root of a matrix, Cholesky decomposition}
\entry{matrix square root, Cholesky decomposition}{122}{matrix square root, Cholesky decomposition}
\entry{tridiagonal decomposition}{123}{tridiagonal decomposition}
\entry{tridiagonal decomposition}{123}{tridiagonal decomposition}
\entry{bidiagonalization of real matrices}{124}{bidiagonalization of real matrices}
\entry{Householder matrix}{125}{Householder matrix}
\entry{Householder transformation}{125}{Householder transformation}
\entry{transformation, Householder}{125}{transformation, Householder}
\entry{solution of linear system by householder transformations}{125}{solution of linear system by householder transformations}
\entry{householder linear solver}{125}{householder linear solver}
\entry{tridiagonal systems}{125}{tridiagonal systems}
\entry{eigenvalues and eigenvectors}{129}{eigenvalues and eigenvectors}
\entry{LAPACK, recommended for linear algebra}{129}{LAPACK, recommended for linear algebra}
\entry{symmetric matrix, real, eigensystem}{129}{symmetric matrix, real, eigensystem}
\entry{real symmetric matrix, eigensystem}{129}{real symmetric matrix, eigensystem}
\entry{hermitian matrix, complex, eigensystem}{130}{hermitian matrix, complex, eigensystem}
\entry{complex hermitian matrix, eigensystem}{130}{complex hermitian matrix, eigensystem}
\entry{sorting eigenvalues and eigenvectors}{130}{sorting eigenvalues and eigenvectors}
\entry{FFT}{134}{FFT}
\entry{Fast Fourier Transforms, see FFT}{134}{Fast Fourier Transforms, see FFT}
\entry{Fourier Transforms, see FFT}{134}{Fourier Transforms, see FFT}
\entry{Discrete Fourier Transforms, see FFT}{134}{Discrete Fourier Transforms, see FFT}
\entry{DFTs, see FFT}{134}{DFTs, see FFT}
\entry{FFT mathematical definition}{134}{FFT mathematical definition}
\entry{FFT, complex data}{135}{FFT, complex data}
\entry{FFT of complex data, radix-2 algorithm}{136}{FFT of complex data, radix-2 algorithm}
\entry{Radix-2 FFT, complex data}{136}{Radix-2 FFT, complex data}
\entry{FFT of complex data, mixed-radix algorithm}{138}{FFT of complex data, mixed-radix algorithm}
\entry{Mixed-radix FFT, complex data}{138}{Mixed-radix FFT, complex data}
\entry{FFT of real data}{142}{FFT of real data}
\entry{FFT of real data, radix-2 algorithm}{142}{FFT of real data, radix-2 algorithm}
\entry{Radix-2 FFT for real data}{142}{Radix-2 FFT for real data}
\entry{FFT of real data, mixed-radix algorithm}{143}{FFT of real data, mixed-radix algorithm}
\entry{Mixed-radix FFT, real data}{143}{Mixed-radix FFT, real data}
\entry{quadrature}{150}{quadrature}
\entry{numerical integration (quadrature)}{150}{numerical integration (quadrature)}
\entry{integration, numerical (quadrature)}{150}{integration, numerical (quadrature)}
\entry{QUADPACK}{150}{QUADPACK}
\entry{Gauss-Kronrod quadrature}{150}{Gauss-Kronrod quadrature}
\entry{Clenshaw-Curtis quadrature}{151}{Clenshaw-Curtis quadrature}
\entry{Modified Clenshaw-Curtis quadrature}{151}{Modified Clenshaw-Curtis quadrature}
\entry{singular points, specifying positions in quadrature}{152}{singular points, specifying positions in quadrature}
\entry{Cauchy principal value, by numerical quadrature}{153}{Cauchy principal value, by numerical quadrature}
\entry{singular functions, numerical integration of}{154}{singular functions, numerical integration of}
\entry{oscillatory functions, numerical integration of}{155}{oscillatory functions, numerical integration of}
\entry{Fourier integrals, numerical}{156}{Fourier integrals, numerical}
\entry{random number generators}{159}{random number generators}
\entry{MT19937 random number generator}{164}{MT19937 random number generator}
\entry{RANLXS random number generator}{164}{RANLXS random number generator}
\entry{RANLXD random number generator}{164}{RANLXD random number generator}
\entry{RANLUX random number generator}{164}{RANLUX random number generator}
\entry{CMRG, combined multiple recursive random number generator}{165}{CMRG, combined multiple recursive random number generator}
\entry{MRG, multiple recursive random number generator}{165}{MRG, multiple recursive random number generator}
\entry{Tausworthe random number generator}{165}{Tausworthe random number generator}
\entry{Four-tap Generalized Feedback Shift Register}{166}{Four-tap Generalized Feedback Shift Register}
\entry{BSD random number generator, rand}{166}{BSD random number generator, rand}
\entry{Unix random number generators, rand}{166}{Unix random number generators, rand}
\entry{Unix random number generators, rand48}{166}{Unix random number generators, rand48}
\entry{BSD random number generator}{166}{BSD random number generator}
\entry{rand48 random number generator}{167}{rand48 random number generator}
\entry{RANF random number generator}{168}{RANF random number generator}
\entry{CRAY random number generator, RANF}{168}{CRAY random number generator, RANF}
\entry{RANMAR random number generator}{168}{RANMAR random number generator}
\entry{shift-register random number generator}{168}{shift-register random number generator}
\entry{R250 shift-register random number generator}{168}{R250 shift-register random number generator}
\entry{TT800 random number generator}{168}{TT800 random number generator}
\entry{VAX random number generator}{169}{VAX random number generator}
\entry{RANDU random number generator}{169}{RANDU random number generator}
\entry{RANMAR random number generator}{169}{RANMAR random number generator}
\entry{quasi-random sequences}{174}{quasi-random sequences}
\entry{low discrepancy sequences}{174}{low discrepancy sequences}
\entry{Sobol sequence}{174}{Sobol sequence}
\entry{Niederreiter sequence}{174}{Niederreiter sequence}
\entry{random number distributions}{177}{random number distributions}
\entry{cumulative distribution functions (CDFs)}{177}{cumulative distribution functions (CDFs)}
\entry{CDFs, cumulative distribution functions}{177}{CDFs, cumulative distribution functions}
\entry{inverse cumulative distribution functions}{177}{inverse cumulative distribution functions}
\entry{quantile functions}{177}{quantile functions}
\entry{Gaussian distribution}{178}{Gaussian distribution}
\entry{Gaussian Tail distribution}{180}{Gaussian Tail distribution}
\entry{Bivariate Gaussian distribution}{181}{Bivariate Gaussian distribution}
\entry{Two-dimensional Gaussian distribution}{181}{Two-dimensional Gaussian distribution}
\entry{Gaussian distribution, bivariate}{181}{Gaussian distribution, bivariate}
\entry{Exponential distribution}{182}{Exponential distribution}
\entry{Two-sided exponential distribution}{183}{Two-sided exponential distribution}
\entry{Laplace distribution}{183}{Laplace distribution}
\entry{Exponential power distribution}{184}{Exponential power distribution}
\entry{Cauchy distribution}{185}{Cauchy distribution}
\entry{Rayleigh distribution}{186}{Rayleigh distribution}
\entry{Rayleigh Tail distribution}{187}{Rayleigh Tail distribution}
\entry{Landau distribution}{188}{Landau distribution}
\entry{Levy distribution}{189}{Levy distribution}
\entry{Levy distribution, skew}{190}{Levy distribution, skew}
\entry{Skew Levy distribution}{190}{Skew Levy distribution}
\entry{Gamma distribution}{191}{Gamma distribution}
\entry{flat distribution}{192}{flat distribution}
\entry{uniform distribution}{192}{uniform distribution}
\entry{Lognormal distribution}{193}{Lognormal distribution}
\entry{Chi-squared distribution}{194}{Chi-squared distribution}
\entry{F-distribution}{195}{F-distribution}
\entry{t-distribution}{196}{t-distribution}
\entry{Student t-distribution}{196}{Student t-distribution}
\entry{Beta distribution}{197}{Beta distribution}
\entry{Logistic distribution}{198}{Logistic distribution}
\entry{Pareto distribution}{199}{Pareto distribution}
\entry{2D random direction vector}{200}{2D random direction vector}
\entry{direction vector, random 2D}{200}{direction vector, random 2D}
\entry{spherical random variates, 2D}{200}{spherical random variates, 2D}
\entry{3D random direction vector}{200}{3D random direction vector}
\entry{direction vector, random 3D}{200}{direction vector, random 3D}
\entry{spherical random variates, 3D}{200}{spherical random variates, 3D}
\entry{N-dimensional random direction vector}{200}{N-dimensional random direction vector}
\entry{direction vector, random N-dimensional}{200}{direction vector, random N-dimensional}
\entry{spherical random variates, N-dimensional}{200}{spherical random variates, N-dimensional}
\entry{Weibull distribution}{201}{Weibull distribution}
\entry{Gumbel distribution (Type 1)}{202}{Gumbel distribution (Type 1)}
\entry{Type 1 Gumbel distribution, random variates}{202}{Type 1 Gumbel distribution, random variates}
\entry{Gumbel distribution (Type 2)}{203}{Gumbel distribution (Type 2)}
\entry{Type 2 Gumbel distribution}{203}{Type 2 Gumbel distribution}
\entry{Dirichlet distribution}{204}{Dirichlet distribution}
\entry{Discrete random numbers}{205}{Discrete random numbers}
\entry{Discrete random numbers, preprocessing}{205}{Discrete random numbers, preprocessing}
\entry{Discrete random numbers}{205}{Discrete random numbers}
\entry{Discrete random numbers}{206}{Discrete random numbers}
\entry{Discrete random numbers}{206}{Discrete random numbers}
\entry{Poisson random numbers}{207}{Poisson random numbers}
\entry{Bernoulli trial, random variates}{208}{Bernoulli trial, random variates}
\entry{Binomial random variates}{209}{Binomial random variates}
\entry{Multinomial distribution}{210}{Multinomial distribution}
\entry{Negative Binomial distribution, random variates}{211}{Negative Binomial distribution, random variates}
\entry{Geometric random variates}{213}{Geometric random variates}
\entry{hypergeometric random variates}{214}{hypergeometric random variates}
\entry{Geometric random variates}{214}{Geometric random variates}
\entry{Logarithmic random variates}{215}{Logarithmic random variates}
\entry{statistics}{221}{statistics}
\entry{mean}{221}{mean}
\entry{standard deviation}{221}{standard deviation}
\entry{variance}{221}{variance}
\entry{estimated standard deviation}{221}{estimated standard deviation}
\entry{estimated variance}{221}{estimated variance}
\entry{t-test}{221}{t-test}
\entry{range}{221}{range}
\entry{min}{221}{min}
\entry{max}{221}{max}
\entry{covariance, of two datasets}{224}{covariance, of two datasets}
\entry{histograms}{230}{histograms}
\entry{binning data}{230}{binning data}
\entry{histogram statistics}{233}{histogram statistics}
\entry{statistics, from histogram}{233}{statistics, from histogram}
\entry{maximum value, from histogram}{233}{maximum value, from histogram}
\entry{minimum value, from histogram}{233}{minimum value, from histogram}
\entry{mean value, from histogram}{233}{mean value, from histogram}
\entry{standard deviation, from histogram}{233}{standard deviation, from histogram}
\entry{variance, from histogram}{233}{variance, from histogram}
\entry{resampling from histograms}{235}{resampling from histograms}
\entry{sampling from histograms}{235}{sampling from histograms}
\entry{probability distributions, from histograms}{235}{probability distributions, from histograms}
\entry{probability distribution, from histogram}{235}{probability distribution, from histogram}
\entry{sampling from histograms}{235}{sampling from histograms}
\entry{random sampling from histograms}{235}{random sampling from histograms}
\entry{histograms, random sampling from}{235}{histograms, random sampling from}
\entry{two dimensional histograms}{238}{two dimensional histograms}
\entry{2D histograms}{238}{2D histograms}
\entry{ntuples}{247}{ntuples}
\entry{selection function, ntuples}{248}{selection function, ntuples}
\entry{value function, ntuples}{248}{value function, ntuples}
\entry{histogram, from ntuple}{248}{histogram, from ntuple}
\entry{projection of ntuples}{248}{projection of ntuples}
\entry{PAW}{252}{PAW}
\entry{HBOOK}{252}{HBOOK}
\entry{Monte Carlo integration}{253}{Monte Carlo integration}
\entry{stratified sampling in monte carlo integration}{253}{stratified sampling in monte carlo integration}
\entry{plain monte carlo}{254}{plain monte carlo}
\entry{MISER monte carlo integration}{255}{MISER monte carlo integration}
\entry{recursive stratified sampling, MISER}{255}{recursive stratified sampling, MISER}
\entry{VEGAS monte carlo integration}{257}{VEGAS monte carlo integration}
\entry{importance sampling, VEGAS}{257}{importance sampling, VEGAS}
\entry{simulated annealing}{263}{simulated annealing}
\entry{combinatorial searches}{263}{combinatorial searches}
\entry{combinatorial optimization}{263}{combinatorial optimization}
\entry{optimization -- combinatorial}{263}{optimization -- combinatorial}
\entry{energy function}{263}{energy function}
\entry{cost function}{263}{cost function}
\entry{cooling schedule}{263}{cooling schedule}
\entry{schedule - cooling}{263}{schedule - cooling}
\entry{TSP}{267}{TSP}
\entry{Traveling Salesman Problem}{267}{Traveling Salesman Problem}
\entry{differential equations, initial value problems}{271}{differential equations, initial value problems}
\entry{initial value problems, differential equations}{271}{initial value problems, differential equations}
\entry{ordinary differential equations, initial value problem}{271}{ordinary differential equations, initial value problem}
\entry{ODEs, initial value problems}{271}{ODEs, initial value problems}
\entry{RK2, Runge-Kutta Method}{272}{RK2, Runge-Kutta Method}
\entry{Runge-Kutta methods, ordinary differential equations}{272}{Runge-Kutta methods, ordinary differential equations}
\entry{RK4, Runge-Kutta Method}{272}{RK4, Runge-Kutta Method}
\entry{Fehlberg method, differential equations}{272}{Fehlberg method, differential equations}
\entry{RKF45, Runge-Kutta-Fehlberg method}{272}{RKF45, Runge-Kutta-Fehlberg method}
\entry{Runge-Kutta Cash-Karp method}{273}{Runge-Kutta Cash-Karp method}
\entry{Cash-Karp, Runge-Kutta method}{273}{Cash-Karp, Runge-Kutta method}
\entry{Runge-Kutta Prince-Dormand method}{273}{Runge-Kutta Prince-Dormand method}
\entry{Prince-Dormand, Runge-Kutta method}{273}{Prince-Dormand, Runge-Kutta method}
\entry{Bulirsch-Stoer method}{273}{Bulirsch-Stoer method}
\entry{Bader and Deuflhard, Bulirsch-Stoer method.}{273}{Bader and Deuflhard, Bulirsch-Stoer method.}
\entry{Deuflhard and Bader, Bulirsch-Stoer method.}{273}{Deuflhard and Bader, Bulirsch-Stoer method.}
\entry{Gear method, differential equations}{273}{Gear method, differential equations}
\entry{Adaptive step-size control, differential equations}{273}{Adaptive step-size control, differential equations}
\entry{Van der Pol oscillator, example}{275}{Van der Pol oscillator, example}
\entry{interpolation}{280}{interpolation}
\entry{spline}{280}{spline}
\entry{linear interpolation}{280}{linear interpolation}
\entry{polynomial interpolation}{280}{polynomial interpolation}
\entry{cubic splines}{281}{cubic splines}
\entry{Akima splines}{281}{Akima splines}
\entry{differentiation of functions, numeric}{286}{differentiation of functions, numeric}
\entry{functions, numerical differentiation}{286}{functions, numerical differentiation}
\entry{derivatives, calculating numerically}{286}{derivatives, calculating numerically}
\entry{numerical derivatives}{286}{numerical derivatives}
\entry{slope, see numerical derivative}{286}{slope, see numerical derivative}
\entry{Chebyshev series}{288}{Chebyshev series}
\entry{fitting, using Chebyshev polynomials}{288}{fitting, using Chebyshev polynomials}
\entry{interpolation, using Chebyshev polynomials}{288}{interpolation, using Chebyshev polynomials}
\entry{acceleration of series}{292}{acceleration of series}
\entry{summation, acceleration}{292}{summation, acceleration}
\entry{series, acceleration}{292}{series, acceleration}
\entry{u-transform for series}{292}{u-transform for series}
\entry{Levin u-transform}{292}{Levin u-transform}
\entry{convergence, accelerating a series}{292}{convergence, accelerating a series}
\entry{Wavelets}{296}{Wavelets}
\entry{Discrete wavelet transforms, see Wavelets}{296}{Discrete wavelet transforms, see Wavelets}
\entry{DWT, see Wavelets}{296}{DWT, see Wavelets}
\entry{Wavelet transforms, discrete, see Wavelets}{296}{Wavelet transforms, discrete, see Wavelets}
\entry{transforms, Wavelet, see Wavelets}{296}{transforms, Wavelet, see Wavelets}
\entry{DWT, mathematical definition}{296}{DWT, mathematical definition}
\entry{DWT initialization}{296}{DWT initialization}
\entry{Daubechies wavelets}{297}{Daubechies wavelets}
\entry{maximal phase, Daubechies wavelets}{297}{maximal phase, Daubechies wavelets}
\entry{Haar wavelets}{297}{Haar wavelets}
\entry{biorthogonal wavelets}{297}{biorthogonal wavelets}
\entry{B-spline wavelets}{297}{B-spline wavelets}
\entry{DWT, one dimensional}{298}{DWT, one dimensional}
\entry{DWT, two dimensional}{298}{DWT, two dimensional}
\entry{discrete Hankel transforms}{303}{discrete Hankel transforms}
\entry{Hankel transforms, discrete}{303}{Hankel transforms, discrete}
\entry{transforms, Hankel}{303}{transforms, Hankel}
\entry{root finding}{305}{root finding}
\entry{zero finding}{305}{zero finding}
\entry{finding roots}{305}{finding roots}
\entry{finding zeros}{305}{finding zeros}
\entry{roots}{305}{roots}
\entry{solving a non-linear equation}{305}{solving a non-linear equation}
\entry{non-linear equation, solutions of}{305}{non-linear equation, solutions of}
\entry{root finding, overview}{305}{root finding, overview}
\entry{root finding, caveats}{305}{root finding, caveats}
\entry{root finding, providing a function to solve}{307}{root finding, providing a function to solve}
\entry{root finding, search bounds}{309}{root finding, search bounds}
\entry{root finding, initial guess}{309}{root finding, initial guess}
\entry{root finding, stopping parameters}{310}{root finding, stopping parameters}
\entry{bisection algorithm for finding roots}{311}{bisection algorithm for finding roots}
\entry{root finding, bisection algorithm}{311}{root finding, bisection algorithm}
\entry{false position algorithm for finding roots}{311}{false position algorithm for finding roots}
\entry{root finding, false position algorithm}{311}{root finding, false position algorithm}
\entry{brent's method for finding roots}{311}{brent's method for finding roots}
\entry{root finding, brent's method}{311}{root finding, brent's method}
\entry{Newton's Method algorithm for finding roots}{312}{Newton's Method algorithm for finding roots}
\entry{root finding, Newton's Method algorithm}{312}{root finding, Newton's Method algorithm}
\entry{Secant Method algorithm for finding roots}{312}{Secant Method algorithm for finding roots}
\entry{root finding, Secant Method algorithm}{312}{root finding, Secant Method algorithm}
\entry{Steffenson's Method for finding roots}{313}{Steffenson's Method for finding roots}
\entry{root finding, Steffenson's Method}{313}{root finding, Steffenson's Method}
\entry{optimization, see minimization}{318}{optimization, see minimization}
\entry{maximization, see minimization}{318}{maximization, see minimization}
\entry{minimization, one-dimensional}{318}{minimization, one-dimensional}
\entry{finding minima}{318}{finding minima}
\entry{non-linear functions, minimization}{318}{non-linear functions, minimization}
\entry{minimization, overview}{318}{minimization, overview}
\entry{Minimization, caveats}{319}{Minimization, caveats}
\entry{minimization, providing a function to minimize}{320}{minimization, providing a function to minimize}
\entry{minimization, stopping parameters}{321}{minimization, stopping parameters}
\entry{golden section algorithm for finding minima}{321}{golden section algorithm for finding minima}
\entry{minimum finding, golden section algorithm}{321}{minimum finding, golden section algorithm}
\entry{brent's method for finding minima}{322}{brent's method for finding minima}
\entry{minimum finding, brent's method}{322}{minimum finding, brent's method}
\entry{solving nonlinear systems of equations}{325}{solving nonlinear systems of equations}
\entry{nonlinear systems of equations, solution of}{325}{nonlinear systems of equations, solution of}
\entry{systems of equations, nonlinear}{325}{systems of equations, nonlinear}
\entry{multidimensional root finding, overview}{325}{multidimensional root finding, overview}
\entry{multidimensional root finding, providing a function to solve}{327}{multidimensional root finding, providing a function to solve}
\entry{root finding, stopping parameters}{330}{root finding, stopping parameters}
\entry{residual, in nonlinear systems of equations}{330}{residual, in nonlinear systems of equations}
\entry{HYBRID algorithms for nonlinear systems}{330}{HYBRID algorithms for nonlinear systems}
\entry{HYBRIDSJ algorithm}{331}{HYBRIDSJ algorithm}
\entry{MINPACK, minimization algorithms}{331}{MINPACK, minimization algorithms}
\entry{HYBRIDJ algorithm}{331}{HYBRIDJ algorithm}
\entry{Newton's Method for systems of nonlinear equations}{331}{Newton's Method for systems of nonlinear equations}
\entry{Modified Newton's Method for nonlinear systems}{332}{Modified Newton's Method for nonlinear systems}
\entry{Newton algorithm, globally convergent}{332}{Newton algorithm, globally convergent}
\entry{HYBRIDS algorithm, scaled without derivatives}{332}{HYBRIDS algorithm, scaled without derivatives}
\entry{HYBRID algorithm, unscaled without derivatives}{332}{HYBRID algorithm, unscaled without derivatives}
\entry{Discrete Newton algorithm for multidimensional roots}{332}{Discrete Newton algorithm for multidimensional roots}
\entry{Newton algorithm, discrete}{332}{Newton algorithm, discrete}
\entry{Broyden algorithm for multidimensional roots}{332}{Broyden algorithm for multidimensional roots}
\entry{multidimensional root finding, Broyden algorithm}{332}{multidimensional root finding, Broyden algorithm}
\entry{minimization, multidimensional}{338}{minimization, multidimensional}
\entry{Multimin, caveats}{338}{Multimin, caveats}
\entry{Fletcher-Reeves conjugate gradient algorithm, minimization}{343}{Fletcher-Reeves conjugate gradient algorithm, minimization}
\entry{Conjugate gradient algorithm, minimization}{343}{Conjugate gradient algorithm, minimization}
\entry{Minimization, conjugate gradient algorithm}{343}{Minimization, conjugate gradient algorithm}
\entry{Polak-Ribiere algorithm, minimization}{343}{Polak-Ribiere algorithm, minimization}
\entry{Minimization, Polak-Ribiere algorithm}{343}{Minimization, Polak-Ribiere algorithm}
\entry{BFGS conjugate gradient algorithm, minimization}{343}{BFGS conjugate gradient algorithm, minimization}
\entry{Minimization, BFGS conjugate gradient algorithm}{343}{Minimization, BFGS conjugate gradient algorithm}
\entry{Steepest descent algorithm, minimization}{343}{Steepest descent algorithm, minimization}
\entry{Minimization, steepest descent algorithm}{343}{Minimization, steepest descent algorithm}
\entry{Nelder-Mead simplex algorithm for minimization}{343}{Nelder-Mead simplex algorithm for minimization}
\entry{Simplex algorithm, minimization}{343}{Simplex algorithm, minimization}
\entry{Minimization, simplex algorithm}{343}{Minimization, simplex algorithm}
\entry{fitting}{349}{fitting}
\entry{least squares fit}{349}{least squares fit}
\entry{regression, least squares}{349}{regression, least squares}
\entry{weighted linear fits}{349}{weighted linear fits}
\entry{linear regression}{349}{linear regression}
\entry{covariance matrix, from linear regression}{349}{covariance matrix, from linear regression}
\entry{multi-parameter regression}{350}{multi-parameter regression}
\entry{fits, multi-parameter linear}{350}{fits, multi-parameter linear}
\entry{NIST Statistical Reference Datasets}{357}{NIST Statistical Reference Datasets}
\entry{Statistical Reference Datasets (StRD)}{357}{Statistical Reference Datasets (StRD)}
\entry{nonlinear least squares fitting}{358}{nonlinear least squares fitting}
\entry{least squares fitting, nonlinear}{358}{least squares fitting, nonlinear}
\entry{nonlinear least-squares fitting, overview}{358}{nonlinear least-squares fitting, overview}
\entry{nonlinear fitting, stopping parameters}{361}{nonlinear fitting, stopping parameters}
\entry{residual, in nonlinear systems of equations}{361}{residual, in nonlinear systems of equations}
\entry{Levenberg-Marquardt algorithms}{362}{Levenberg-Marquardt algorithms}
\entry{LMDER algorithm}{362}{LMDER algorithm}
\entry{MINPACK, minimization algorithms}{362}{MINPACK, minimization algorithms}
\entry{covariance of best-fit parameters}{363}{covariance of best-fit parameters}
\entry{best-fit parameters, covariance}{363}{best-fit parameters, covariance}
\entry{least-squares, covariance of best-fit parameters}{363}{least-squares, covariance of best-fit parameters}
\entry{physical constants}{369}{physical constants}
\entry{constants, physical}{369}{constants, physical}
\entry{conversion of units}{369}{conversion of units}
\entry{units, conversion of}{369}{units, conversion of}
\entry{fundamental constants}{369}{fundamental constants}
\entry{constants, fundamental}{369}{constants, fundamental}
\entry{astronomical constants}{370}{astronomical constants}
\entry{atomic physics, constants}{370}{atomic physics, constants}
\entry{nuclear physics, constants}{370}{nuclear physics, constants}
\entry{time units}{371}{time units}
\entry{Imperial Units}{371}{Imperial Units}
\entry{units, imperial}{371}{units, imperial}
\entry{nautical units}{372}{nautical units}
\entry{printers units}{372}{printers units}
\entry{volume units}{372}{volume units}
\entry{mass, units of}{372}{mass, units of}
\entry{weight, units of}{372}{weight, units of}
\entry{energy, units of}{373}{energy, units of}
\entry{power, units of}{373}{power, units of}
\entry{thermal energy, units of}{373}{thermal energy, units of}
\entry{pressure, units of}{373}{pressure, units of}
\entry{viscosity, units of}{374}{viscosity, units of}
\entry{light, units of}{374}{light, units of}
\entry{illumination, units of}{374}{illumination, units of}
\entry{radioactivity, units of}{374}{radioactivity, units of}
\entry{force and energy, units of}{375}{force and energy, units of}
\entry{prefixes}{375}{prefixes}
\entry{constants, prefixes}{375}{constants, prefixes}
\entry{IEEE floating point}{378}{IEEE floating point}
\entry{IEEE format for floating point numbers}{378}{IEEE format for floating point numbers}
\entry{bias, IEEE format}{378}{bias, IEEE format}
\entry{exponent, IEEE format}{378}{exponent, IEEE format}
\entry{sign bit, IEEE format}{378}{sign bit, IEEE format}
\entry{mantissa, IEEE format}{378}{mantissa, IEEE format}
\entry{normalized form, IEEE format}{378}{normalized form, IEEE format}
\entry{denormalized form, IEEE format}{378}{denormalized form, IEEE format}
\entry{zero, IEEE format}{378}{zero, IEEE format}
\entry{infinity, IEEE format}{378}{infinity, IEEE format}
\entry{single precision, IEEE format}{378}{single precision, IEEE format}
\entry{double precision, IEEE format}{378}{double precision, IEEE format}
\entry{IEEE exceptions}{379}{IEEE exceptions}
\entry{precision, IEEE arithmetic}{379}{precision, IEEE arithmetic}
\entry{rounding mode}{379}{rounding mode}
\entry{arithmetic exceptions}{379}{arithmetic exceptions}
\entry{exceptions, IEEE arithmetic}{379}{exceptions, IEEE arithmetic}
\entry{division by zero, IEEE exceptions}{379}{division by zero, IEEE exceptions}
\entry{underflow, IEEE exceptions}{379}{underflow, IEEE exceptions}
\entry{overflow, IEEE exceptions}{379}{overflow, IEEE exceptions}
\entry{gdb}{383}{gdb}
\entry{debugging numerical programs}{383}{debugging numerical programs}
\entry{breakpoints}{383}{breakpoints}
\entry{warning options}{385}{warning options}
\entry{gcc warning options}{385}{gcc warning options}
\entry{autoconf, using with GSL}{388}{autoconf, using with GSL}
\entry{Low-level CBLAS}{390}{Low-level CBLAS}
\entry{CBLAS, Low-level interface}{390}{CBLAS, Low-level interface}
\entry{BLAS, Low-level C interface}{390}{BLAS, Low-level C interface}
\entry{Basic Linear Algebra Subroutines (BLAS)}{390}{Basic Linear Algebra Subroutines (BLAS)}
\entry{free documentation}{403}{free documentation}
\entry{FDL, GNU Free Documentation License}{412}{FDL, GNU Free Documentation License}