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Concept Index: H -- L

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Index Entry Section

H
Hankel transforms, discrete29. Discrete Hankel Transforms
HAVE_INLINE2.5 Inline functions
HBOOK21.9 References and Further Reading
header files, including2.2 Compiling and Linking
heapsort10. Sorting
HEMM, Level-3 BLAS11.1.3 Level 3
HEMV, Level-2 BLAS11.1.2 Level 2
HER, Level-2 BLAS11.1.2 Level 2
HER2, Level-2 BLAS11.1.2 Level 2
HER2K, Level-3 BLAS11.1.3 Level 3
HERK, Level-3 BLAS11.1.3 Level 3
hermitian matrix, complex, eigensystem13.2 Complex Hermitian Matrices
histogram, from ntuple21.7 Histogramming ntuple values
histograms20. Histograms
householder linear solver12.9 Householder solver for linear systems
HYBRID algorithm, unscaled without derivatives32.7 Algorithms without Derivatives
HYBRID algorithms for nonlinear systems32.6 Algorithms using Derivatives
HYBRIDJ algorithm32.6 Algorithms using Derivatives
HYBRIDS algorithm, scaled without derivatives32.7 Algorithms without Derivatives
HYBRIDSJ algorithm32.6 Algorithms using Derivatives
hydrogen atom7.7 Coulomb Functions
hyperbolic cosine, inverse4.3 Elementary Functions
hyperbolic functions, complex numbers5.7 Complex Hyperbolic Functions
hyperbolic sine, inverse4.3 Elementary Functions
hyperbolic space7.24 Legendre Functions and Spherical Harmonics
hyperbolic tangent, inverse4.3 Elementary Functions
hypergeometric functions7.21 Hypergeometric Functions
hypot4.3 Elementary Functions
hypot function, special functions7.30.1 Circular Trigonometric Functions

I
identity permutation9.2 Permutation allocation
IEEE exceptions37.2 Setting up your IEEE environment
IEEE floating point37. IEEE floating-point arithmetic
IEEE format for floating point numbers37.1 Representation of floating point numbers
IEEE infinity, defined as a macro4.2 Infinities and Not-a-number
IEEE NaN, defined as a macro4.2 Infinities and Not-a-number
illumination, units of36.13 Light and Illumination
imperial units36.5 Imperial Units
importance sampling, VEGAS22.4 VEGAS
including GSL header files2.2 Compiling and Linking
incomplete Beta function, normalized7.19 Gamma Function
incomplete Gamma function7.19 Gamma Function
indirect sorting10.1 Sorting objects
indirect sorting, of vector elements10.2 Sorting vectors
infinity, defined as a macro4.2 Infinities and Not-a-number
infinity, IEEE format37.1 Representation of floating point numbers
initial value problems, differential equations24. Ordinary Differential Equations
initializing matrices8.4.3 Initializing matrix elements
initializing vectors8.3.3 Initializing vector elements
inline functions2.5 Inline functions
integer powers7.26 Power Function
integration, numerical (quadrature)15. Numerical Integration
interpolation25. Interpolation
interpolation, using Chebyshev polynomials27. Chebyshev Approximations
inverse complex trigonometric functions5.6 Inverse Complex Trigonometric Functions
inverse hyperbolic cosine4.3 Elementary Functions
inverse hyperbolic functions, complex numbers5.8 Inverse Complex Hyperbolic Functions
inverse hyperbolic sine4.3 Elementary Functions
inverse hyperbolic tangent4.3 Elementary Functions
inverse of a matrix, by LU decomposition12.1 LU Decomposition
inverting a permutation9.5 Permutation functions
Irregular Cylindrical Bessel Functions7.5.2 Irregular Cylindrical Bessel Functions
Irregular Modified Bessel Functions, Fractional Order7.5.12 Irregular Modified Bessel Functions - Fractional Order
Irregular Modified Cylindrical Bessel Functions7.5.4 Irregular Modified Cylindrical Bessel Functions
Irregular Modified Spherical Bessel Functions7.5.8 Irregular Modified Spherical Bessel Functions
Irregular Spherical Bessel Functions7.5.6 Irregular Spherical Bessel Functions
iterating through permutations9.5 Permutation functions
iterative refinement of solutions in linear systems12.1 LU Decomposition

J
Jacobi elliptic functions7.14 Elliptic Functions (Jacobi)

L
Laguerre functions7.22 Laguerre Functions
Lambert function7.23 Lambert W Functions
Landau random variates18.10 The Landau Distribution
LAPACK, recommended for linear algebra12. Linear Algebra
LAPACK, recommended for linear algebra13. Eigensystems
Laplace distribution random variates18.5 The Laplace Distribution
leading dimension, matrices8.4 Matrices
least squares fit34. Least-Squares Fitting
least squares fitting, nonlinear35. Nonlinear Least-Squares Fitting
least-squares, covariance of best-fit parameters35.8 Computing the covariance matrix of best fit parameters
Legendre forms of elliptic integrals7.13.1 Definition of Legendre Forms
Legendre functions7.24 Legendre Functions and Spherical Harmonics
length, computed accurately using hypot4.3 Elementary Functions
Levenberg-Marquardt algorithms35.6 Minimization Algorithms using Derivatives
Levin u-transform28. Series Acceleration
Levy distribution, random variates18.11 The Levy alpha-Stable Distributions
Levy distribution, random variates18.12 The Levy skew alpha-Stable Distribution
libraries, linking with2.2 Compiling and Linking
license of GSL1. Introduction
light, units of36.13 Light and Illumination
linear algebra12. Linear Algebra
linear algebra, BLAS11. BLAS Support
linear interpolation25.3 Interpolation Types
linear systems, refinement of solutions12.1 LU Decomposition
linear systems, solution of12.1 LU Decomposition
linking with GSL libraries2.2 Compiling and Linking
LMDER algorithm35.6 Minimization Algorithms using Derivatives
log1p4.3 Elementary Functions
logarithm and related functions7.25 Logarithm and Related Functions
logarithm of Beta function7.19 Gamma Function
logarithm of combinatorial factor C(m,n)7.19 Gamma Function
logarithm of complex number5.4 Elementary Complex Functions
logarithm of cosh function, special functions7.30.3 Hyperbolic Trigonometric Functions
logarithm of double factorial7.19 Gamma Function
logarithm of factorial7.19 Gamma Function
logarithm of Gamma function7.19 Gamma Function
logarithm of Pochhammer symbol7.19 Gamma Function
logarithm of sinh function, special functions7.30.3 Hyperbolic Trigonometric Functions
logarithm of the determinant of a matrix12.1 LU Decomposition
logarithm, computed accurately near 14.3 Elementary Functions
Logarithmic random variates18.34 The Logarithmic Distribution
Logistic random variates18.20 The Logistic Distribution
Lognormal random variates18.15 The Lognormal Distribution
long double2.6 Long double
low discrepancy sequences17. Quasi-Random Sequences
Low-level CBLASD. GSL CBLAS Library
LU decomposition12.1 LU Decomposition

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