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Concept Index: D – F

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Index Entry Section

D
Daubechies wavelets30.2 Initialization
Dawson function7.9 Dawson Function
DAXPY, Level-1 BLAS12.1.1 Level 1
debugging numerical programsA.1 Using gdb
Debye functions7.10 Debye Functions
denormalized form, IEEE format40.1 Representation of floating point numbers
deprecated functions2.13 Deprecated Functions
derivatives, calculating numerically27. Numerical Differentiation
determinant of a matrix, by LU decomposition13.1 LU Decomposition
Deuflhard and Bader, Bulirsch-Stoer method.25.2 Stepping Functions
DFTs, see FFT15. Fast Fourier Transforms (FFTs)
diagonal, of a matrix8.4.6 Creating row and column views
differential equations, initial value problems25. Ordinary Differential Equations
differentiation of functions, numeric27. Numerical Differentiation
digamma function7.28 Psi (Digamma) Function
dilogarithm7.11 Dilogarithm
direction vector, random 2D19.23 Spherical Vector Distributions
direction vector, random 3D19.23 Spherical Vector Distributions
direction vector, random N-dimensional19.23 Spherical Vector Distributions
Dirichlet distribution19.27 The Dirichlet Distribution
discontinuities, in ODE systems25.4 Evolution
Discrete Fourier Transforms, see FFT15. Fast Fourier Transforms (FFTs)
discrete Hankel transforms31. Discrete Hankel Transforms
Discrete Newton algorithm for multidimensional roots34.7 Algorithms without Derivatives
Discrete random numbers19.28 General Discrete Distributions
Discrete random numbers19.28 General Discrete Distributions
Discrete random numbers19.28 General Discrete Distributions
Discrete random numbers19.28 General Discrete Distributions
Discrete random numbers, preprocessing19.28 General Discrete Distributions
divided differences, polynomials6.2 Divided Difference Representation of Polynomials
division by zero, IEEE exceptions40.2 Setting up your IEEE environment
dollar sign $, shell prompt1.7 Conventions used in this manual
DOT, Level-1 BLAS12.1.1 Level 1
double factorial7.19.2 Factorials
double precision, IEEE format40.1 Representation of floating point numbers
downloading GSL1.3 Obtaining GSL
DWT initialization30.2 Initialization
DWT, mathematical definition30.1 Definitions
DWT, one dimensional30.3.1 Wavelet transforms in one dimension
DWT, see wavelet transforms30. Wavelet Transforms
DWT, two dimensional30.3.2 Wavelet transforms in two dimension

E
e, defined as a macro4.1 Mathematical Constants
E1(x), E2(x), Ei(x)7.17.1 Exponential Integral
eigenvalues and eigenvectors14. Eigensystems
elementary functions4. Mathematical Functions
elementary operations7.12 Elementary Operations
elliptic functions (Jacobi)7.14 Elliptic Functions (Jacobi)
elliptic integrals7.13 Elliptic Integrals
energy function24. Simulated Annealing
energy, units of39.10 Thermal Energy and Power
erf(x)7.15 Error Functions
erfc(x)7.15 Error Functions
Erlang distribution19.14 The Gamma Distribution
error codes3.2 Error Codes
error codes, reserved3.2 Error Codes
error function7.15 Error Functions
Error handlers3.3 Error Handlers
error handling3. Error Handling
error handling macros3.4 Using GSL error reporting in your own functions
Errors3. Error Handling
estimated standard deviation20. Statistics
estimated variance20. Statistics
euclidean distance function, hypot4.3 Elementary Functions
euclidean distance function, hypot4.3 Elementary Functions
Euler's constant, defined as a macro4.1 Mathematical Constants
evaluation of polynomials6.1 Polynomial Evaluation
evaluation of polynomials, in divided difference form6.2 Divided Difference Representation of Polynomials
examples, conventions used in1.7 Conventions used in this manual
exceptions, C++2.10 Compatibility with C++
exceptions, IEEE arithmetic40.2 Setting up your IEEE environment
exchanging permutation elements9.3 Accessing permutation elements
exp7.16 Exponential Functions
expm14.3 Elementary Functions
exponent, IEEE format40.1 Representation of floating point numbers
Exponential distribution19.5 The Exponential Distribution
exponential function7.16 Exponential Functions
exponential integrals7.17 Exponential Integrals
Exponential power distribution19.7 The Exponential Power Distribution
exponential, difference from 1 computed accurately4.3 Elementary Functions
exponentiation of complex number5.4 Elementary Complex Functions
extern inline2.5 Inline functions

F
F-distribution19.18 The F-distribution
factorial7.19.2 Factorials
factorial7.19.2 Factorials
factorization of matrices13. Linear Algebra
false position algorithm for finding roots32.8 Root Bracketing Algorithms
Fast Fourier Transforms, see FFT15. Fast Fourier Transforms (FFTs)
Fehlberg method, differential equations25.2 Stepping Functions
Fermi-Dirac function7.18 Fermi-Dirac Function
FFT15. Fast Fourier Transforms (FFTs)
FFT mathematical definition15.1 Mathematical Definitions
FFT of complex data, mixed-radix algorithm15.4 Mixed-radix FFT routines for complex data
FFT of complex data, radix-2 algorithm15.3 Radix-2 FFT routines for complex data
FFT of real data15.5 Overview of real data FFTs
FFT of real data, mixed-radix algorithm15.7 Mixed-radix FFT routines for real data
FFT of real data, radix-2 algorithm15.6 Radix-2 FFT routines for real data
FFT, complex data15.2 Overview of complex data FFTs
finding minima33. One dimensional Minimization
finding roots32. One dimensional Root-Finding
finding zeros32. One dimensional Root-Finding
fits, multi-parameter linear36.4 Multi-parameter fitting
fitting36. Least-Squares Fitting
fitting, using Chebyshev polynomials28. Chebyshev Approximations
Fj(x), Fermi-Dirac integral7.18.1 Complete Fermi-Dirac Integrals
Fj(x,b), incomplete Fermi-Dirac integral7.18.2 Incomplete Fermi-Dirac Integrals
flat distribution19.15 The Flat (Uniform) Distribution
Fletcher-Reeves conjugate gradient algorithm, minimization35.7 Algorithms with Derivatives
floating point numbers, approximate comparison4.8 Approximate Comparison of Floating Point Numbers
force and energy, units of39.15 Force and Energy
Fortran range checking, equivalent in gcc8.3.2 Accessing vector elements
Four-tap Generalized Feedback Shift Register17.9 Random number generator algorithms
Fourier integrals, numerical16.10 QAWF adaptive integration for Fourier integrals
Fourier Transforms, see FFT15. Fast Fourier Transforms (FFTs)
Fractional Order Bessel Functions7.5.9 Regular Bessel Function—Fractional Order
free documentationFree Software Needs Free Documentation
free software, explanation of1.2 GSL is Free Software
frexp4.3 Elementary Functions
functions, numerical differentiation27. Numerical Differentiation
fundamental constants39.1 Fundamental Constants

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