| Index Entry | Section |
|---|
|
| Q | | |
|---|
| QR decomposition | 12.2 QR Decomposition |
| QR decomposition with column pivoting | 12.3 QR Decomposition with Column Pivoting |
| QUADPACK | 15. Numerical Integration |
| quadratic equation, solving | 6.2 Quadratic equations |
| quadrature | 15. Numerical Integration |
| quasi-random sequences | 17. Quasi-Random Sequences |
|
| R | | |
|---|
| R250 shift-register random number generator | 16.11 Other random number generators |
| Racah coefficients | 7.8 Coupling Coefficients |
| radioactivity, units of | 36.14 Radioactivity |
| Radix-2 FFT for real data | 14.6 Radix-2 FFT routines for real data |
| Radix-2 FFT, complex data | 14.3 Radix-2 FFT routines for complex data |
| rand48 random number generator | 16.9 Unix random number generators |
| random number distributions | 18. Random Number Distributions |
| random number generators | 16. Random Number Generation |
| Random number generators, Numerical recipes | 16.10 Numerical Recipes generators |
| RANDU random number generator | 16.11 Other random number generators |
| RANF random number generator | 16.11 Other random number generators |
| range | 19. Statistics |
| range-checking for matrices | 8.4.2 Accessing matrix elements |
| range-checking for vectors | 8.3.2 Accessing vector elements |
| RANLUX random number generator | 16.8 Random number generator algorithms |
| RANLXD random number generator | 16.8 Random number generator algorithms |
| RANLXS random number generator | 16.8 Random number generator algorithms |
| RANMAR random number generator | 16.11 Other random number generators |
| RANMAR random number generator | 16.11 Other random number generators |
| Rayleigh random variates | 18.8 The Rayleigh Distribution |
| Rayleigh Tail random variates | 18.9 The Rayleigh Tail Distribution |
| real symmetric matrix, eigensystem | 13.1 Real Symmetric Matrices |
| Reciprocal Gamma function | 7.19 Gamma Function |
| rectangular to polar conversion | 7.30.4 Conversion Functions |
| recursive stratified sampling, MISER | 22.3 MISER |
| reduction of angular variables | 7.30.5 Restriction Functions |
| refinement of solutions in linear systems | 12.1 LU Decomposition |
| regression, least squares | 34. Least-Squares Fitting |
| Regular Bessel Functions, Fractional Order | 7.5.9 Regular Bessel Function - Fractional Order |
| Regular Bessel Functions, Zeros of | 7.5.13 Zeros of Regular Bessel Functions |
| Regular Cylindrical Bessel Functions | 7.5.1 Regular Cylindrical Bessel Functions |
| Regular Modified Bessel Functions - Fractional Order | 7.5.11 Regular Modified Bessel Functions - Fractional Order |
| Regular Modified Cylindrical Bessel Functions | 7.5.3 Regular Modified Cylindrical Bessel Functions |
| Regular Modified Spherical Bessel Functions | 7.5.7 Regular Modified Spherical Bessel Functions |
| Regular Spherical Bessel Functions | 7.5.5 Regular Spherical Bessel Functions |
| Regulated Gamma function | 7.19 Gamma Function |
| relative Pochhammer symbol | 7.19 Gamma Function |
| representations of complex numbers | 5.1 Complex numbers |
| resampling from histograms | 20.9 Resampling from histograms |
| residual, in nonlinear systems of equations | 32.5 Search Stopping Parameters |
| residual, in nonlinear systems of equations | 35.5 Search Stopping Parameters |
| reversing a permutation | 9.5 Permutation functions |
| RK2, Runge-Kutta Method | 24.2 Stepping Functions |
| RK4, Runge-Kutta Method | 24.2 Stepping Functions |
| RKF45, Runge-Kutta-Fehlberg method | 24.2 Stepping Functions |
| root finding | 30. One dimensional Root-Finding |
| root finding, bisection algorithm | 30.8 Root Bracketing Algorithms |
| root finding, brent's method | 30.8 Root Bracketing Algorithms |
| root finding, caveats | 30.2 Caveats |
| root finding, false position algorithm | 30.8 Root Bracketing Algorithms |
| root finding, initial guess | 30.5 Search Bounds and Guesses |
| root finding, Newton's Method algorithm | 30.9 Root Finding Algorithms using Derivatives |
| root finding, overview | 30.1 Overview |
| root finding, providing a function to solve | 30.4 Providing the function to solve |
| root finding, search bounds | 30.5 Search Bounds and Guesses |
| root finding, Secant Method algorithm | 30.9 Root Finding Algorithms using Derivatives |
| root finding, Steffenson's Method | 30.9 Root Finding Algorithms using Derivatives |
| root finding, stopping parameters | 30.7 Search Stopping Parameters |
| root finding, stopping parameters | 32.5 Search Stopping Parameters |
| roots | 30. One dimensional Root-Finding |
| ROTG, Level-1 BLAS | 11.1.1 Level 1 |
| rounding mode | 37.2 Setting up your IEEE environment |
| Runge-Kutta Cash-Karp method | 24.2 Stepping Functions |
| Runge-Kutta methods, ordinary differential equations | 24.2 Stepping Functions |
| Runge-Kutta Prince-Dormand method | 24.2 Stepping Functions |
|
| S | | |
|---|
| sampling from histograms | 20.9 Resampling from histograms |
| SCAL, Level-1 BLAS | 11.1.1 Level 1 |
| schedule - cooling | 23.1 Simulated Annealing algorithm |
| Secant Method algorithm for finding roots | 30.9 Root Finding Algorithms using Derivatives |
| selection function, ntuples | 21.7 Histogramming ntuple values |
| series, acceleration | 28. Series Acceleration |
| shift-register random number generator | 16.11 Other random number generators |
| sign bit, IEEE format | 37.1 Representation of floating point numbers |
| sign of the determinant of a matrix | 12.1 LU Decomposition |
| simulated annealing | 23. Simulated Annealing |
| sin of complex number | 5.5 Complex Trigonometric Functions |
| sine function, special functions | 7.30.1 Circular Trigonometric Functions |
| single precision, IEEE format | 37.1 Representation of floating point numbers |
| singular value decomposition | 12.4 Singular Value Decomposition |
| Sobol sequence | 17. Quasi-Random Sequences |
| solution of linear system by householder transformations | 12.9 Householder solver for linear systems |
| solution of linear systems, Ax=b | 12. Linear Algebra |
| solving a non-linear equation | 30. One dimensional Root-Finding |
| solving nonlinear systems of equations | 32. Multidimensional Root-Finding |
| sorting | 10. Sorting |
| sorting eigenvalues and eigenvectors | 13.3 Sorting Eigenvalues and Eigenvectors |
| sorting vector elements | 10.2 Sorting vectors |
| source code, reuse in applications | 2.12 Code Reuse |
| Special Functions | 7. Special Functions |
| Spherical Bessel Functions | 7.5.5 Regular Spherical Bessel Functions |
| spherical harmonics | 7.24 Legendre Functions and Spherical Harmonics |
| spherical random variates, 2D | 18.22 The Spherical Distribution (2D & 3D) |
| spherical random variates, 3D | 18.22 The Spherical Distribution (2D & 3D) |
| spherical random variates, N-dimensional | 18.22 The Spherical Distribution (2D & 3D) |
| spline | 25. Interpolation |
| square root of a matrix, Cholesky decomposition | 12.5 Cholesky Decomposition |
| square root of complex number | 5.4 Elementary Complex Functions |
| standard deviation | 19. Statistics |
| standards conformance, ANSI C | 2. Using the library |
| statistics | 19. Statistics |
| Steffenson's Method for finding roots | 30.9 Root Finding Algorithms using Derivatives |
| stride, of vector index | 8.3 Vectors |
| summation, acceleration | 28. Series Acceleration |
| SVD | 12.4 Singular Value Decomposition |
| SWAP, Level-1 BLAS | 11.1.1 Level 1 |
| swapping permutation elements | 9.3 Accessing permutation elements |
| SYMM, Level-3 BLAS | 11.1.3 Level 3 |
| symmetric matrix, real, eigensystem | 13.1 Real Symmetric Matrices |
| SYMV, Level-2 BLAS | 11.1.2 Level 2 |
| Synchrotron functions | 7.28 Synchrotron Functions |
| SYR, Level-2 BLAS | 11.1.2 Level 2 |
| SYR2, Level-2 BLAS | 11.1.2 Level 2 |
| SYR2K, Level-3 BLAS | 11.1.3 Level 3 |
| SYRK, Level-3 BLAS | 11.1.3 Level 3 |
| systems of equations, nonlinear | 32. Multidimensional Root-Finding |
|