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