| Index Entry | Section |
|---|
|
| D | | |
|---|
| Dawson function | 7.9 Dawson Function |
| debugging numerical programs | A.1 Using gdb |
| Debye functions | 7.10 Debye Functions |
| denormalized form, IEEE format | 37.1 Representation of floating point numbers |
| derivatives, calculating numerically | 26. Numerical Differentiation |
| determinant of a matrix, by LU decomposition | 12.1 LU Decomposition |
| Deuflhard and Bader, Bulirsch-Stoer method. | 24.2 Stepping Functions |
| DFTs, see FFT | 14. Fast Fourier Transforms (FFTs) |
| differential equations, initial value problems | 24. Ordinary Differential Equations |
| differentiation of functions, numeric | 26. Numerical Differentiation |
| digamma function | 7.27 Psi (Digamma) Function |
| dilogarithm | 7.11 Dilogarithm |
| direction vector, random 2D | 18.22 The Spherical Distribution (2D & 3D) |
| direction vector, random 3D | 18.22 The Spherical Distribution (2D & 3D) |
| direction vector, random N-dimensional | 18.22 The Spherical Distribution (2D & 3D) |
| Discrete Fourier Transforms, see FFT | 14. Fast Fourier Transforms (FFTs) |
| discrete Hankel transforms | 29. Discrete Hankel Transforms |
| Discrete newton algorithm for multidimensional roots | 32.7 Algorithms without Derivatives |
| Discrete Newton algorithm for nonlinear systems | 32.7 Algorithms without Derivatives |
| Discrete random numbers | 18.26 General Discrete Distributions |
| Discrete random numbers | 18.26 General Discrete Distributions |
| Discrete random numbers | 18.26 General Discrete Distributions |
| Discrete random numbers | 18.26 General Discrete Distributions |
| Discrete random numbers, preprocessing | 18.26 General Discrete Distributions |
| division by zero, IEEE exceptions | 37.2 Setting up your IEEE environment |
| DOT, Level-1 BLAS | 11.1.1 Level 1 |
| double factorial | 7.19 Gamma Function |
| double precision, IEEE format | 37.1 Representation of floating point numbers |
| downloading GSL | 1.3 Obtaining GSL |
|
| E | | |
|---|
| e, defined as a macro | 4.1 Mathematical Constants |
| eigenvalues and eigenvectors | 13. Eigensystems |
| elementary functions | 4. Mathematical Functions |
| elementary operations | 7.12 Elementary Operations |
| elliptic functions (Jacobi) | 7.14 Elliptic Functions (Jacobi) |
| elliptic integrals | 7.13 Elliptic Integrals |
| energy function | 23. Simulated Annealing |
| energy, units of | 36.10 Thermal Energy and Power |
| erf(x) | 7.15 Error Functions |
| erfc(x) | 7.15 Error Functions |
| error codes | 3.1 Error Reporting |
| error function | 7.15 Error Functions |
| Error handlers | 3.2 Error Handlers |
| error handling | 3. Error Handling |
| error handling macros | 3.3 Using GSL error reporting in your own functions |
| Errors | 3. Error Handling |
| estimated standard deviation | 19. Statistics |
| estimated variance | 19. Statistics |
| euclidean distance function, hypot | 4.3 Elementary Functions |
| Euler's constant, defined as a macro | 4.1 Mathematical Constants |
| evaluation of polynomials | 6.1 Polynomial evaluation |
| exceptions, IEEE arithmetic | 37.2 Setting up your IEEE environment |
| exchanging permutation elements | 9.3 Accessing permutation elements |
| exp | 7.16 Exponential Functions |
| expm1 | 4.3 Elementary Functions |
| exponent, IEEE format | 37.1 Representation of floating point numbers |
| exponential function | 7.16 Exponential Functions |
| exponential integrals | 7.17 Exponential Integrals |
| Exponential power distribution, random variates | 18.6 The Exponential Power Distribution |
| Exponential random variates | 18.4 The Exponential Distribution |
| exponential, difference from 1 computed accurately | 4.3 Elementary Functions |
| exponentiation of complex number | 5.4 Elementary Complex Functions |
|
| F | | |
|---|
| F-distribution random variates | 18.17 The F-distribution |
| factorial | 7.19 Gamma Function |
| factorization of matrices | 12. Linear Algebra |
| false position algorithm for finding roots | 30.8 Root Bracketing Algorithms |
| Fast Fourier Transforms, see FFT | 14. Fast Fourier Transforms (FFTs) |
| FDL, GNU Free Documentation License | GNU Free Documentation License |
| Fehlberg method, differential equations | 24.2 Stepping Functions |
| Fermi-Dirac function | 7.18 Fermi-Dirac Function |
| FFT | 14. Fast Fourier Transforms (FFTs) |
| FFT mathematical definition | 14.1 Mathematical Definitions |
| FFT of complex data, mixed-radix algorithm | 14.4 Mixed-radix FFT routines for complex data |
| FFT of complex data, radix-2 algorithm | 14.3 Radix-2 FFT routines for complex data |
| FFT of real data | 14.5 Overview of real data FFTs |
| FFT of real data, mixed-radix algorithm | 14.7 Mixed-radix FFT routines for real data |
| FFT of real data, radix-2 algorithm | 14.6 Radix-2 FFT routines for real data |
| FFT, complex data | 14.2 Overview of complex data FFTs |
| finding minima | 31. One dimensional Minimization |
| finding roots | 30. One dimensional Root-Finding |
| finding zeros | 30. One dimensional Root-Finding |
| fitting | 34. Least-Squares Fitting |
| fitting, using Chebyshev polynomials | 27. Chebyshev Approximations |
| flat distribution random variates | 18.14 The Flat (Uniform) Distribution |
| Fortran range checking, equivalent in gcc | 8.3.2 Accessing vector elements |
| Four-tap Generalized Feedback Shift Register | 16.8 Random number generator algorithms |
| Fourier integrals, numerical | 15.10 QAWF adaptive integration for Fourier integrals |
| Fourier Transforms, see FFT | 14. Fast Fourier Transforms (FFTs) |
| Fractional Order Bessel Functions | 7.5.9 Regular Bessel Function - Fractional Order |
| free software, explanation of | 1.2 GSL is Free Software |
| functions, numerical differentiation | 26. Numerical Differentiation |
| fundamental constants | 36.1 Fundamental Constants |
|
| G | | |
|---|
| Gamma distribution random variates | 18.13 The Gamma Distribution |
| gamma function | 7.19 Gamma Function |
| Gauss-Kronrod quadrature | 15.1 Introduction |
| Gaussian random variates | 18.1 The Gaussian Distribution |
| Gaussian random variates | 18.3 The Bivariate Gaussian Distribution |
| Gaussian Tail random variates | 18.2 The Gaussian Tail Distribution |
| gcc extensions, range-checking | 8.3.2 Accessing vector elements |
| gcc warning options | A.4 GCC warning options for numerical programs |
| gdb | A.1 Using gdb |
| Gear method, differential equations | 24.2 Stepping Functions |
| Gegenbauer functions | 7.20 Gegenbauer Functions |
| GEMM, Level-3 BLAS | 11.1.3 Level 3 |
| GEMV, Level-2 BLAS | 11.1.2 Level 2 |
| general polynomial equations, solving | 6.4 General polynomial equations |
| Geometric random variates | 18.32 The Geometric Distribution |
| Geometric random variates | 18.33 The Hypergeometric Distribution |
| GER, Level-2 BLAS | 11.1.2 Level 2 |
| GERC, Level-2 BLAS | 11.1.2 Level 2 |
| GERU, Level-2 BLAS | 11.1.2 Level 2 |
| Givens Rotation, BLAS | 11.1.1 Level 1 |
| Givens Rotation, Modified, BLAS | 11.1.1 Level 1 |
| GNEWTON algorithm | 32.6 Algorithms using Derivatives |
| GNU General Public License | 1. Introduction |
| golden section algorithm for finding minima | 31.7 Minimization Algorithms |
| gsl-announce mailing list | 1.3 Obtaining GSL |
| gsl_sf_result | 7.2 The gsl_sf_result struct |
| gsl_sf_result_e10 | 7.2 The gsl_sf_result struct |
| Gumbel distribution (Type 1), random variates | 18.24 The Type-1 Gumbel Distribution |
| Gumbel distribution (Type 2), random variates | 18.25 The Type-2 Gumbel Distribution |
|