| Index Entry | Section |
|---|
|
| S | | |
|---|
| safe comparison of floating point numbers | 4.8 Approximate Comparison of Floating Point Numbers |
| sampling from histograms | 21.9 Resampling from histograms |
| sampling from histograms | 21.10 The histogram probability distribution struct |
| SAXPY, Level-1 BLAS | 12.1.1 Level 1 |
| SCAL, Level-1 BLAS | 12.1.1 Level 1 |
| schedule, cooling | 24.1 Simulated Annealing algorithm |
| se(q,x), Mathieu function | 7.26.3 Angular Mathieu Functions |
| secant method for finding roots | 32.9 Root Finding Algorithms using Derivatives |
| selection function, ntuples | 22.7 Histogramming ntuple values |
| series, acceleration | 29. Series Acceleration |
| shared libraries | 2.3 Shared Libraries |
| shell prompt | 1.7 Conventions used in this manual |
| Shi(x) | 7.17.3 Hyperbolic Integrals |
| shift-register random number generator | 17.11 Other random number generators |
| Si(x) | 7.17.5 Trigonometric Integrals |
| sign bit, IEEE format | 40.1 Representation of floating point numbers |
| sign of the determinant of a matrix | 13.1 LU Decomposition |
| simplex algorithm, minimization | 35.8 Algorithms without Derivatives |
| simulated annealing | 24. Simulated Annealing |
| sin, of complex number | 5.5 Complex Trigonometric Functions |
| sine function, special functions | 7.31.1 Circular Trigonometric Functions |
| single precision, IEEE format | 40.1 Representation of floating point numbers |
| singular functions, numerical integration of | 16.8 QAWS adaptive integration for singular functions |
| singular points, specifying positions in quadrature | 16.5 QAGP adaptive integration with known singular points |
| singular value decomposition | 13.4 Singular Value Decomposition |
| Skew Levy distribution | 19.13 The Levy skew alpha-Stable Distribution |
| slope, see numerical derivative | 27. Numerical Differentiation |
| Sobol sequence | 18. Quasi-Random Sequences |
| solution of linear system by Householder transformations | 13.12 Householder solver for linear systems |
| solution of linear systems, Ax=b | 13. Linear Algebra |
| solving a nonlinear equation | 32. One dimensional Root-Finding |
| solving nonlinear systems of equations | 34. Multidimensional Root-Finding |
| sorting | 11. Sorting |
| sorting eigenvalues and eigenvectors | 14.7 Sorting Eigenvalues and Eigenvectors |
| sorting vector elements | 11.2 Sorting vectors |
| source code, reuse in applications | 2.14 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 | 19.23 Spherical Vector Distributions |
| spherical random variates, 3D | 19.23 Spherical Vector Distributions |
| spherical random variates, N-dimensional | 19.23 Spherical Vector Distributions |
| spline | 26. Interpolation |
| splines, basis | 38. Basis Splines |
| square root of a matrix, Cholesky decomposition | 13.5 Cholesky Decomposition |
| square root of complex number | 5.4 Elementary Complex Functions |
| standard deviation | 20. Statistics |
| standard deviation, from histogram | 21.6 Histogram Statistics |
| standards conformance, ANSI C | 2. Using the library |
| Statistical Reference Datasets (StRD) | 36.6 References and Further Reading |
| statistics | 20. Statistics |
| statistics, from histogram | 21.6 Histogram Statistics |
| steepest descent algorithm, minimization | 35.7 Algorithms with Derivatives |
| Steffenson's method for finding roots | 32.9 Root Finding Algorithms using Derivatives |
| stratified sampling in monte carlo integration | 23. Monte Carlo Integration |
| stride, of vector index | 8.3 Vectors |
| Student t-distribution | 19.19 The t-distribution |
| subdiagonal, of a matrix | 8.4.6 Creating row and column views |
| summation, acceleration | 29. Series Acceleration |
| superdiagonal, matrix | 8.4.6 Creating row and column views |
| SVD | 13.4 Singular Value Decomposition |
| SWAP, Level-1 BLAS | 12.1.1 Level 1 |
| swapping permutation elements | 9.3 Accessing permutation elements |
| SYMM, Level-3 BLAS | 12.1.3 Level 3 |
| symmetric matrix, real, eigensystem | 14.1 Real Symmetric Matrices |
| SYMV, Level-2 BLAS | 12.1.2 Level 2 |
| synchrotron functions | 7.29 Synchrotron Functions |
| SYR, Level-2 BLAS | 12.1.2 Level 2 |
| SYR2, Level-2 BLAS | 12.1.2 Level 2 |
| SYR2K, Level-3 BLAS | 12.1.3 Level 3 |
| SYRK, Level-3 BLAS | 12.1.3 Level 3 |
| systems of equations, nonlinear | 34. Multidimensional Root-Finding |
|
| T | | |
|---|
| t-distribution | 19.19 The t-distribution |
| t-test | 20. Statistics |
| tangent of complex number | 5.5 Complex Trigonometric Functions |
| Tausworthe random number generator | 17.9 Random number generator algorithms |
| Taylor coefficients, computation of | 7.19.2 Factorials |
| testing combination for validity | 10.4 Combination properties |
| testing permutation for validity | 9.4 Permutation properties |
| thermal energy, units of | 39.10 Thermal Energy and Power |
| time units | 39.4 Measurement of Time |
| trailing dimension, matrices | 8.4 Matrices |
| transformation, Householder | 13.11 Householder Transformations |
| transforms, Hankel | 31. Discrete Hankel Transforms |
| transforms, wavelet | 30. Wavelet Transforms |
| transport functions | 7.30 Transport Functions |
| traveling salesman problem | 24.3.2 Traveling Salesman Problem |
| tridiagonal decomposition | 13.6 Tridiagonal Decomposition of Real Symmetric Matrices |
| tridiagonal decomposition | 13.7 Tridiagonal Decomposition of Hermitian Matrices |
| tridiagonal systems | 13.13 Tridiagonal Systems |
| trigonometric functions | 7.31 Trigonometric Functions |
| trigonometric functions of complex numbers | 5.5 Complex Trigonometric Functions |
| trigonometric integrals | 7.17.5 Trigonometric Integrals |
| TRMM, Level-3 BLAS | 12.1.3 Level 3 |
| TRMV, Level-2 BLAS | 12.1.2 Level 2 |
| TRSM, Level-3 BLAS | 12.1.3 Level 3 |
| TRSV, Level-2 BLAS | 12.1.2 Level 2 |
| TSP | 24.3.2 Traveling Salesman Problem |
| TT800 random number generator | 17.11 Other random number generators |
| two dimensional Gaussian distribution | 19.4 The Bivariate Gaussian Distribution |
| two dimensional histograms | 21.12 Two dimensional histograms |
| two-sided exponential distribution | 19.6 The Laplace Distribution |
| Type 1 Gumbel distribution, random variates | 19.25 The Type-1 Gumbel Distribution |
| Type 2 Gumbel distribution | 19.26 The Type-2 Gumbel Distribution |
|
