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Concept Index

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Index Entry Section

2
2D histograms20.12 Two dimensional histograms
2D random direction vector18.22 The Spherical Distribution (2D & 3D)

3
3-j symbols7.8 Coupling Coefficients
3D random direction vector18.22 The Spherical Distribution (2D & 3D)

6
6-j symbols7.8 Coupling Coefficients

9
9-j symbols7.8 Coupling Coefficients

A
acceleration of series28. Series Acceleration
acosh4.3 Elementary Functions
Adaptive step-size control, differential equations24.3 Adaptive Step-size Control
Ai(x)7.4 Airy Functions and Derivatives
Airy functions7.4 Airy Functions and Derivatives
Akima splines25.3 Interpolation Types
aliasing of arrays2.11 Aliasing of arrays
alternative optimized functions2.8 Alternative optimized functions
AMAX, Level-1 BLAS11.1.1 Level 1
angular reduction7.30.5 Restriction Functions
ANSI C, use of2. Using the library
Apell symbol, see Pochammer symbol7.19 Gamma Function
argument of complex number5.2 Properties of complex numbers
arithmetic exceptions37.2 Setting up your IEEE environment
asinh4.3 Elementary Functions
astronomical constants36.2 Astronomy and Astrophysics
ASUM, Level-1 BLAS11.1.1 Level 1
atanh4.3 Elementary Functions
atomic physics, constants36.3 Atomic and Nuclear Physics
autoconf, using with GSL2.5 Inline functions
AXPY, Level-1 BLAS11.1.1 Level 1

B
Bader and Deuflhard, Bulirsch-Stoer method.24.2 Stepping Functions
Bernoulli trial, random variates18.28 The Bernoulli Distribution
Bessel functions7.5 Bessel Functions
Bessel Functions, Fractional Order7.5.9 Regular Bessel Function - Fractional Order
best-fit parameters, covariance35.8 Computing the covariance matrix of best fit parameters
Beta distribution random variates18.19 The Beta Distribution
Beta function7.19 Gamma Function
Beta function, incomplete normalized7.19 Gamma Function
Bi(x)7.4 Airy Functions and Derivatives
bias, IEEE format37.1 Representation of floating point numbers
bidiagonalization of real matrices12.8 Bidiagonalization
binning data20. Histograms
Binomial random variates18.29 The Binomial Distribution
bisection algorithm for finding roots30.8 Root Bracketing Algorithms
BLAS11. BLAS Support
blocks8. Vectors and Matrices
breakpointsA.1 Using gdb
brent's method for finding minima31.7 Minimization Algorithms
brent's method for finding roots30.8 Root Bracketing Algorithms
Broyden algorithm for multidimensional roots32.7 Algorithms without Derivatives
BSD random number generator16.9 Unix random number generators
BSD random number generator, rand16.9 Unix random number generators
Bulirsch-Stoer method24.2 Stepping Functions

C
C extensions, compatible use of2. Using the library
C++, compatibility2.10 Compatibility with C++
Carlson forms of Elliptic integrals7.13.2 Definition of Carlson Forms
Cash-Karp, Runge-Kutta method24.2 Stepping Functions
Cauchy random variates18.7 The Cauchy Distribution
CBLAS11. BLAS Support
CBLAS, Low-level interfaceD. GSL CBLAS Library
Chebyshev series27. Chebyshev Approximations
Checkergcc8.3.2 Accessing vector elements
checking permutation for validity9.4 Permutation properties
Chi-squared random variates18.16 The Chi-squared Distribution
Cholesky decomposition12.5 Cholesky Decomposition
Clausen functions7.6 Clausen Functions
Clenshaw-Curtis quadrature15.1 Introduction
CMRG, combined multiple recursive random number generator16.8 Random number generator algorithms
code reuse in applications2.12 Code Reuse
combinatorial factor C(m,n)7.19 Gamma Function
combinatorial optimization23. Simulated Annealing
combinatorial searches23. Simulated Annealing
comparison functions, definition10.1 Sorting objects
compatibility2. Using the library
compiling programs, include paths2.2 Compiling and Linking
compiling programs, library paths2.2 Compiling and Linking
complementary incomplete Gamma function7.19 Gamma Function
complex arithmetic5.3 Complex arithmetic operators
complex cosine function, special functions7.30.2 Trigonometric Functions for Complex Arguments
Complex Gamma function7.19 Gamma Function
complex hermitian matrix, eigensystem13.2 Complex Hermitian Matrices
complex log sine function, special functions7.30.2 Trigonometric Functions for Complex Arguments
complex numbers5. Complex Numbers
complex sinc function, special functions7.30.1 Circular Trigonometric Functions
complex sine function, special functions7.30.2 Trigonometric Functions for Complex Arguments
confluent hypergeometric function7.22 Laguerre Functions
confluent hypergeometric functions7.21 Hypergeometric Functions
conical functions7.24 Legendre Functions and Spherical Harmonics
conjugate of complex number5.3 Complex arithmetic operators
constants, fundamental36.1 Fundamental Constants
constants, mathematical -- defined as macros4.1 Mathematical Constants
constants, physical36. Physical Constants
contacting the GSL developers1.6 Further Information
convergence, accelerating a series28. Series Acceleration
conversion of units36. Physical Constants
cooling schedule23.1 Simulated Annealing algorithm
COPY, Level-1 BLAS11.1.1 Level 1
cosine function, special functions7.30.1 Circular Trigonometric Functions
cosine of complex number5.5 Complex Trigonometric Functions
cost function23. Simulated Annealing
Coulomb wave functions7.7 Coulomb Functions
coupling coefficients7.8 Coupling Coefficients
covariance of best-fit parameters35.8 Computing the covariance matrix of best fit parameters
covariance, of two datasets19.5 Covariance
CRAY random number generator, RANF16.11 Other random number generators
cubic equation, solving6.3 Cubic equations
cubic splines25.3 Interpolation Types
Cylindrical Bessel Functions7.5.1 Regular Cylindrical Bessel Functions

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