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Concept Index: J – M

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Index Entry Section

J
Jacobi elliptic functions7.14 Elliptic Functions (Jacobi)

K
knots38.3 Constructing the knots vector

L
Laguerre functions7.22 Laguerre Functions
Lambert function7.23 Lambert W Functions
Landau distribution19.11 The Landau Distribution
LAPACK14.9 References and Further Reading
Laplace distribution19.6 The Laplace Distribution
LD_LIBRARY_PATH2.3 Shared Libraries
ldexp4.3 Elementary Functions
leading dimension, matrices8.4 Matrices
least squares fit36. Least-Squares Fitting
least squares fitting, nonlinear37. Nonlinear Least-Squares Fitting
least squares, covariance of best-fit parameters37.8 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
length, computed accurately using hypot4.3 Elementary Functions
Levenberg-Marquardt algorithms37.6 Minimization Algorithms using Derivatives
Levin u-transform29. Series Acceleration
Levy distribution19.12 The Levy alpha-Stable Distributions
Levy distribution, skew19.13 The Levy skew alpha-Stable Distribution
libraries, linking with2.2.1 Linking programs with the library
libraries, shared2.3 Shared Libraries
license of GSL1. Introduction
light, units of39.13 Light and Illumination
linear algebra13. Linear Algebra
linear algebra, BLAS12. BLAS Support
linear interpolation26.3 Interpolation Types
linear regression36.2 Linear regression
linear systems, refinement of solutions13.1 LU Decomposition
linear systems, solution of13.1 LU Decomposition
linking with GSL libraries2.2.1 Linking programs with the library
LMDER algorithm37.6 Minimization Algorithms using Derivatives
log1p4.3 Elementary Functions
logarithm and related functions7.25 Logarithm and Related Functions
logarithm of Beta function7.19.5 Beta Functions
logarithm of combinatorial factor C(m,n)7.19.2 Factorials
logarithm of complex number5.4 Elementary Complex Functions
logarithm of cosh function, special functions7.31.3 Hyperbolic Trigonometric Functions
logarithm of double factorial7.19.2 Factorials
logarithm of factorial7.19.2 Factorials
logarithm of Gamma function7.19.1 Gamma Functions
logarithm of Pochhammer symbol7.19.3 Pochhammer Symbol
logarithm of sinh function, special functions7.31.3 Hyperbolic Trigonometric Functions
logarithm of the determinant of a matrix13.1 LU Decomposition
logarithm, computed accurately near 14.3 Elementary Functions
Logarithmic random variates19.37 The Logarithmic Distribution
Logistic distribution19.21 The Logistic Distribution
Lognormal distribution19.16 The Lognormal Distribution
long double2.6 Long double
low discrepancy sequences18. Quasi-Random Sequences
Low-level CBLASD. GSL CBLAS Library
LU decomposition13.1 LU Decomposition

M
macros for mathematical constants4.1 Mathematical Constants
magnitude of complex number5.2 Properties of complex numbers
mailing list archives1.6 Further Information
mailing list for GSL announcements1.3 Obtaining GSL
mailing list, bug-gsl1.5 Reporting Bugs
mantissa, IEEE format40.1 Representation of floating point numbers
mass, units of39.9 Mass and Weight
mathematical constants, defined as macros4.1 Mathematical Constants
mathematical functions, elementary4. Mathematical Functions
Mathieu Function Characteristic Values7.26.2 Mathieu Function Characteristic Values
Mathieu functions7.26 Mathieu Functions
matrices8. Vectors and Matrices
matrices8.4 Matrices
matrices, initializing8.4.3 Initializing matrix elements
matrices, range-checking8.4.2 Accessing matrix elements
matrix determinant13.1 LU Decomposition
matrix diagonal8.4.6 Creating row and column views
matrix factorization13. Linear Algebra
matrix inverse13.1 LU Decomposition
matrix square root, Cholesky decomposition13.5 Cholesky Decomposition
matrix subdiagonal8.4.6 Creating row and column views
matrix superdiagonal8.4.6 Creating row and column views
matrix, constant8.4.3 Initializing matrix elements
matrix, identity8.4.3 Initializing matrix elements
matrix, operations12. BLAS Support
matrix, zero8.4.3 Initializing matrix elements
max20. Statistics
maximal phase, Daubechies wavelets30.2 Initialization
maximization, see minimization33. One dimensional Minimization
maximum of two numbers4.7 Maximum and Minimum functions
maximum value, from histogram21.6 Histogram Statistics
mean20. Statistics
mean value, from histogram21.6 Histogram Statistics
Mill's ratio, inverse7.15.4 Probability functions
min20. Statistics
minimization, BFGS algorithm35.7 Algorithms with Derivatives
minimization, caveats33.2 Caveats
minimization, conjugate gradient algorithm35.7 Algorithms with Derivatives
minimization, multidimensional35. Multidimensional Minimization
minimization, one-dimensional33. One dimensional Minimization
minimization, overview33.1 Overview
minimization, Polak-Ribiere algorithm35.7 Algorithms with Derivatives
minimization, providing a function to minimize33.4 Providing the function to minimize
minimization, simplex algorithm35.8 Algorithms without Derivatives
minimization, steepest descent algorithm35.7 Algorithms with Derivatives
minimization, stopping parameters33.6 Stopping Parameters
minimum finding, Brent's method33.7 Minimization Algorithms
minimum finding, golden section algorithm33.7 Minimization Algorithms
minimum of two numbers4.7 Maximum and Minimum functions
minimum value, from histogram21.6 Histogram Statistics
MINPACK, minimization algorithms34.6 Algorithms using Derivatives
MINPACK, minimization algorithms37.6 Minimization Algorithms using Derivatives
MISCFUN7.34 References and Further Reading
MISER monte carlo integration23.3 MISER
Mixed-radix FFT, complex data15.4 Mixed-radix FFT routines for complex data
Mixed-radix FFT, real data15.7 Mixed-radix FFT routines for real data
Modified Bessel Functions, Fractional Order7.5.11 Regular Modified Bessel Functions—Fractional Order
Modified Clenshaw-Curtis quadrature16.1.2 Integrands with weight functions
Modified Cylindrical Bessel Functions7.5.3 Regular Modified Cylindrical Bessel Functions
Modified Givens Rotation, BLAS12.1.1 Level 1
Modified Newton's method for nonlinear systems34.6 Algorithms using Derivatives
Modified Spherical Bessel Functions7.5.7 Regular Modified Spherical Bessel Functions
Monte Carlo integration23. Monte Carlo Integration
MRG, multiple recursive random number generator17.9 Random number generator algorithms
MT19937 random number generator17.9 Random number generator algorithms
multi-parameter regression36.4 Multi-parameter fitting
multidimensional root finding, Broyden algorithm34.7 Algorithms without Derivatives
multidimensional root finding, overview34.1 Overview
multidimensional root finding, providing a function to solve34.3 Providing the function to solve
Multimin, caveats35.2 Caveats
Multinomial distribution19.32 The Multinomial Distribution
multiplication7.12 Elementary Operations

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