
Go to the first, previous, next, last section, table of contents.
2
2D histograms
2D random direction vector
3
3j symbols
3D random direction vector
6
6j symbols
9
9j symbols
a
acceleration of series
acosh
Adaptive stepsize control, differential equations
Ai(x)
Airy functions
Akima splines
aliasing of arrays
alternative optimized functions
AMAX, Level1 BLAS
angular reduction
ANSI C, use of
Apell symbol, see Pochammer symbol
argument of complex number
arithmetic exceptions
asinh
astronomical constants
ASUM, Level1 BLAS
atanh
atomic physics, constants
autoconf, using with GSL
AXPY, Level1 BLAS
b
Bader and Deuflhard, BulirschStoer method.
Bernoulli trial, random variates
Bessel functions
Bessel Functions, Fractional Order
bestfit parameters, covariance
Beta distribution random variates
Beta function
Beta function, incomplete normalized
Bi(x)
bias, IEEE format
bidiagonalization of real matrices
binning data
Binomial random variates
bisection algorithm for finding roots
BLAS
blocks
breakpoints
brent's method for finding minima
brent's method for finding roots
Broyden algorithm for multidimensional roots
BSD random number generator
BSD random number generator, rand
BulirschStoer method
c
C extensions, compatible use of
C++, compatibility
Carlson forms of Elliptic integrals
CashKarp, RungeKutta method
Cauchy random variates
CBLAS
CBLAS, Lowlevel interface
Chebyshev series
Checkergcc
checking combination for validity
checking permutation for validity
Chisquared random variates
Cholesky decomposition
Clausen functions
ClenshawCurtis quadrature
CMRG, combined multiple recursive random number generator
code reuse in applications
combinations
combinatorial factor C(m,n)
combinatorial optimization
combinatorial searches
comparison functions, definition
compatibility
compiling programs, include paths
compiling programs, library paths
complementary incomplete Gamma function
complex arithmetic
complex cosine function, special functions
Complex Gamma function
complex hermitian matrix, eigensystem
complex log sine function, special functions
complex numbers
complex sinc function, special functions
complex sine function, special functions
confluent hypergeometric function
confluent hypergeometric functions
conical functions
conjugate of complex number
constants, fundamental
constants, mathematical  defined as macros
constants, physical
constants, prefixes
contacting the GSL developers
convergence, accelerating a series
conversion of units
cooling schedule
COPY, Level1 BLAS
cosine function, special functions
cosine of complex number
cost function
Coulomb wave functions
coupling coefficients
covariance of bestfit parameters
covariance, of two datasets
CRAY random number generator, RANF
cubic equation, solving
cubic splines
Cylindrical Bessel Functions
d
Dawson function
debugging numerical programs
Debye functions
denormalized form, IEEE format
derivatives, calculating numerically
determinant of a matrix, by LU decomposition
Deuflhard and Bader, BulirschStoer method.
DFTs, see FFT
differential equations, initial value problems
differentiation of functions, numeric
digamma function
dilogarithm
direction vector, random 2D
direction vector, random 3D
direction vector, random Ndimensional
Discrete Fourier Transforms, see FFT
discrete Hankel transforms
Discrete newton algorithm for multidimensional roots
Discrete Newton algorithm for nonlinear systems
Discrete random numbers, Discrete random numbers, Discrete random numbers, Discrete random numbers
Discrete random numbers, preprocessing
divided differences, polynomials
division by zero, IEEE exceptions
DOT, Level1 BLAS
double factorial
double precision, IEEE format
downloading GSL
e
e, defined as a macro
eigenvalues and eigenvectors
elementary functions
elementary operations
elliptic functions (Jacobi)
elliptic integrals
energy function
energy, units of
erf(x)
erfc(x)
error codes
error function
Error handlers
error handling
error handling macros
Errors
estimated standard deviation
estimated variance
euclidean distance function, hypot
Euler's constant, defined as a macro
evaluation of polynomials
evaluation of polynomials, in divided difference form
exceptions, IEEE arithmetic
exchanging permutation elements
exp
expm1
exponent, IEEE format
exponential function
exponential integrals
Exponential power distribution, random variates
Exponential random variates
exponential, difference from 1 computed accurately
exponentiation of complex number
f
Fdistribution random variates
factorial
factorization of matrices
false position algorithm for finding roots
Fast Fourier Transforms, see FFT
FDL, GNU Free Documentation License
Fehlberg method, differential equations
FermiDirac function
FFT
FFT mathematical definition
FFT of complex data, mixedradix algorithm
FFT of complex data, radix2 algorithm
FFT of real data
FFT of real data, mixedradix algorithm
FFT of real data, radix2 algorithm
FFT, complex data
finding minima
finding roots
finding zeros
fitting
fitting, using Chebyshev polynomials
flat distribution random variates
force and energy, units of
Fortran range checking, equivalent in gcc
Fourtap Generalized Feedback Shift Register
Fourier integrals, numerical
Fourier Transforms, see FFT
Fractional Order Bessel Functions
free software, explanation of
functions, numerical differentiation
fundamental constants
g
Gamma distribution random variates
gamma function
GaussKronrod quadrature
Gaussian random variates, Gaussian random variates
Gaussian Tail random variates
gcc extensions, rangechecking
gcc warning options
gdb
Gear method, differential equations
Gegenbauer functions
GEMM, Level3 BLAS
GEMV, Level2 BLAS
general polynomial equations, solving
Geometric random variates, Geometric random variates
GER, Level2 BLAS
GERC, Level2 BLAS
GERU, Level2 BLAS
Givens Rotation, BLAS
Givens Rotation, Modified, BLAS
GNEWTON algorithm
GNU General Public License
golden section algorithm for finding minima
gslannounce mailing list
gsl_sf_result
gsl_sf_result_e10
Gumbel distribution (Type 1), random variates
Gumbel distribution (Type 2), random variates
h
Hankel transforms, discrete
HAVE_INLINE
HBOOK
header files, including
heapsort
HEMM, Level3 BLAS
HEMV, Level2 BLAS
HER, Level2 BLAS
HER2, Level2 BLAS
HER2K, Level3 BLAS
HERK, Level3 BLAS
hermitian matrix, complex, eigensystem
histogram, from ntuple
histograms
householder linear solver
HYBRID algorithm, unscaled without derivatives
HYBRID algorithms for nonlinear systems
HYBRIDJ algorithm
HYBRIDS algorithm, scaled without derivatives
HYBRIDSJ algorithm
hydrogen atom
hyperbolic cosine, inverse
hyperbolic functions, complex numbers
hyperbolic sine, inverse
hyperbolic space
hyperbolic tangent, inverse
hypergeometric functions
hypot
hypot function, special functions
i
identity permutation
IEEE exceptions
IEEE floating point
IEEE format for floating point numbers
IEEE infinity, defined as a macro
IEEE NaN, defined as a macro
illumination, units of
imperial units
importance sampling, VEGAS
including GSL header files
incomplete Beta function, normalized
incomplete Gamma function
indirect sorting
indirect sorting, of vector elements
infinity, defined as a macro
infinity, IEEE format
initial value problems, differential equations
initializing matrices
initializing vectors
inline functions
integer powers
integration, numerical (quadrature)
interpolation
interpolation, using Chebyshev polynomials
inverse complex trigonometric functions
inverse hyperbolic cosine
inverse hyperbolic functions, complex numbers
inverse hyperbolic sine
inverse hyperbolic tangent
inverse of a matrix, by LU decomposition
inverting a permutation
Irregular Cylindrical Bessel Functions
Irregular Modified Bessel Functions, Fractional Order
Irregular Modified Cylindrical Bessel Functions
Irregular Modified Spherical Bessel Functions
Irregular Spherical Bessel Functions
iterating through combinations
iterating through permutations
iterative refinement of solutions in linear systems
j
Jacobi elliptic functions
l
Laguerre functions
Lambert function
Landau random variates
LAPACK, recommended for linear algebra, LAPACK, recommended for linear algebra
Laplace distribution random variates
leading dimension, matrices
least squares fit
least squares fitting, nonlinear
leastsquares, covariance of bestfit parameters
Legendre forms of elliptic integrals
Legendre functions
length, computed accurately using hypot
LevenbergMarquardt algorithms
Levin utransform
Levy distribution, random variates, Levy distribution, random variates
libraries, linking with
license of GSL
light, units of
linear algebra
linear algebra, BLAS
linear interpolation
linear systems, refinement of solutions
linear systems, solution of
linking with GSL libraries
LMDER algorithm
log1p
logarithm and related functions
logarithm of Beta function
logarithm of combinatorial factor C(m,n)
logarithm of complex number
logarithm of cosh function, special functions
logarithm of double factorial
logarithm of factorial
logarithm of Gamma function
logarithm of Pochhammer symbol
logarithm of sinh function, special functions
logarithm of the determinant of a matrix
logarithm, computed accurately near 1
Logarithmic random variates
Logistic random variates
Lognormal random variates
long double
low discrepancy sequences
Lowlevel CBLAS
LU decomposition
m
macros for mathematical constants
magnitude of complex number
mailing list archives
mailing list for GSL announcements
mantissa, IEEE format
mass, units of
mathematical constants, defined as macros
mathematical functions, elementary
matrices, matrices
matrices, initializing
matrices, rangechecking
matrix determinant
matrix factorization
matrix inverse
matrix square root, Cholesky decomposition
matrix, operations
max
maximization, see minimization
maximum of two numbers
mean
min
Minimization, caveats
minimization, multidimensional
minimization, onedimensional
minimization, overview
minimization, providing a function to minimize
minimization, stopping parameters
minimum finding, brent's method
minimum finding, golden section algorithm
minimum of two numbers
MINPACK, minimization algorithms, MINPACK, minimization algorithms
MISCFUN
MISER monte carlo integration
Mixedradix FFT, complex data
Mixedradix FFT, real data
Modified Bessel Functions, Fractional Order
Modified ClenshawCurtis quadrature
Modified Cylindrical Bessel Functions
Modified Givens Rotation, BLAS
Modified Newton's Method for nonlinear systems
Modified Spherical Bessel Functions
Monte Carlo integration
MRG, multiple recursive random number generator
MT19937 random number generator
multidimensional root finding, Broyden algorithm
multidimensional root finding, overview
multidimensional root finding, providing a function to solve
Multimin, caveats
multiplication
n
Ndimensional random direction vector
NaN, defined as a macro
nautical units
Negative Binomial distribution, random variates
Newton algorithm, discrete
Newton's Method algorithm for finding roots
Newton's Method for systems of nonlinear equations
Niederreiter sequence
nonlinear equation, solutions of
nonlinear functions, minimization
nonlinear fitting, stopping parameters
nonlinear least squares fitting
nonlinear leastsquares fitting, overview
nonlinear systems of equations, solution of
normalized form, IEEE format
normalized incomplete Beta function
Notanumber, defined as a macro
NRM2, Level1 BLAS
ntuples
nuclear physics, constants
numerical constants, defined as macros
numerical derivatives
numerical integration (quadrature)
Numerical recipes, random number generators
o
obtaining GSL
ODEs, initial value problems
optimization  combinatorial
optimization, see minimization
optimized functions, alternatives
ordinary differential equations, initial value problem
overflow, IEEE exceptions
p
Pareto random variates
PAW
permutations
physical constants
physical dimension, matrices
pi, defined as a macro
plain monte carlo
Pochhammer symbol
Poisson random numbers
polar form of complex numbers
polar to rectangular conversion
polygamma functions
polynomial evaluation
polynomial interpolation
polynomials, roots of
power function
power of complex number
power, units of
precision, IEEE arithmetic
prefixes
pressure, units of
PrinceDormand, RungeKutta method
printers units
probability distributions, from histograms
projection of ntuples
psi function
q
QR decomposition
QR decomposition with column pivoting
QUADPACK
quadratic equation, solving
quadrature
quasirandom sequences
r
R250 shiftregister random number generator
Racah coefficients
radioactivity, units of
Radix2 FFT for real data
Radix2 FFT, complex data
rand48 random number generator
random number distributions
random number generators
Random number generators, Numerical recipes
RANDU random number generator
RANF random number generator
range
rangechecking for matrices
rangechecking for vectors
RANLUX random number generator
RANLXD random number generator
RANLXS random number generator
RANMAR random number generator, RANMAR random number generator
Rayleigh random variates
Rayleigh Tail random variates
real symmetric matrix, eigensystem
Reciprocal Gamma function
rectangular to polar conversion
recursive stratified sampling, MISER
reduction of angular variables
refinement of solutions in linear systems
regression, least squares
Regular Bessel Functions, Fractional Order
Regular Bessel Functions, Zeros of
Regular Cylindrical Bessel Functions
Regular Modified Bessel Functions  Fractional Order
Regular Modified Cylindrical Bessel Functions
Regular Modified Spherical Bessel Functions
Regular Spherical Bessel Functions
Regulated Gamma function
relative Pochhammer symbol
representations of complex numbers
resampling from histograms
residual, in nonlinear systems of equations, residual, in nonlinear systems of equations
reversing a permutation
RK2, RungeKutta Method
RK4, RungeKutta Method
RKF45, RungeKuttaFehlberg method
root finding
root finding, bisection algorithm
root finding, brent's method
root finding, caveats
root finding, false position algorithm
root finding, initial guess
root finding, Newton's Method algorithm
root finding, overview
root finding, providing a function to solve
root finding, search bounds
root finding, Secant Method algorithm
root finding, Steffenson's Method
root finding, stopping parameters, root finding, stopping parameters
roots
ROTG, Level1 BLAS
rounding mode
RungeKutta CashKarp method
RungeKutta methods, ordinary differential equations
RungeKutta PrinceDormand method
s
sampling from histograms
SCAL, Level1 BLAS
schedule  cooling
Secant Method algorithm for finding roots
selection function, ntuples
series, acceleration
shiftregister random number generator
sign bit, IEEE format
sign of the determinant of a matrix
simulated annealing
sin of complex number
sine function, special functions
single precision, IEEE format
singular value decomposition
Sobol sequence
solution of linear system by householder transformations
solution of linear systems, Ax=b
solving a nonlinear equation
solving nonlinear systems of equations
sorting
sorting eigenvalues and eigenvectors
sorting vector elements
source code, reuse in applications
Special Functions
Spherical Bessel Functions
spherical harmonics
spherical random variates, 2D
spherical random variates, 3D
spherical random variates, Ndimensional
spline
square root of a matrix, Cholesky decomposition
square root of complex number
standard deviation
standards conformance, ANSI C
statistics
Steffenson's Method for finding roots
stride, of vector index
summation, acceleration
SVD
SWAP, Level1 BLAS
swapping permutation elements
SYMM, Level3 BLAS
symmetric matrix, real, eigensystem
SYMV, Level2 BLAS
Synchrotron functions
SYR, Level2 BLAS
SYR2, Level2 BLAS
SYR2K, Level3 BLAS
SYRK, Level3 BLAS
systems of equations, nonlinear
t
tdistribution random variates
ttest
tangent of complex number
Tausworthe random number generator
Taylor coefficients, computation of
testing combination for validity
testing permutation for validity
thermal energy, units of
time units
trailing dimension, matrices
transforms, Hankel
Transport functions
Traveling Salesman Problem
tridiagonal decomposition, tridiagonal decomposition
tridiagonal systems
Trigonometric functions
trigonometric functions of complex numbers
TRMM, Level3 BLAS
TRMV, Level2 BLAS
TRSM, Level3 BLAS
TRSV, Level2 BLAS
TSP
TT800 random number generator
two dimensional histograms
twosided exponential random variates
Type 1 Gumbel distribution, random variates
Type 2 Gumbel distribution, random variate
u
utransform for series
underflow, IEEE exceptions
units, conversion of
units, imperial
Unix random number generators, rand
Unix random number generators, rand48
usage, compiling application programs
v
value function, ntuples
Van der Pol oscillator, example
variance
VAX random number generator
vector, operations
vector, sorting elements of
vectors, vectors
vectors, initializing
vectors, rangechecking
VEGAS monte carlo integration
viscosity, units of
volume units
w
W function
warning options
warranty (none)
website, developer information
Weibull distribution random variates
weight, units of
Wigner coefficients
z
zero finding
zero, IEEE format
Zeros of Regular Bessel Functions
Zeta functions
Go to the first, previous, next, last section, table of contents.
