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Press W.H., Teukolsky S.A., Vetterling W.T. — Numerical recipes in Fortran 90 |
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Предметный указатель |
Sine integral, series 250 (see also Cosine integral)
Sine transform see Fast Fourier transform (FFT); Fourier transform
Sine transform see Fast Fourier transform (FFT); Fourier transform
Singleton’s algorithm for FFT 525
Singleton’s algorithm for FFT 525
Singular value decomposition (SVD) 23 25 51f. 1022
Singular value decomposition (SVD) 23 25 51f. 1022
Singular value decomposition (SVD), and bases for nullspace and range 53
Singular value decomposition (SVD), and least squares 54ff. 199f. 668 670ff. 1081 1290f.
Singular value decomposition (SVD), and least squares 54ff. 199f. 668 670ff. 1081 1290f.
Singular value decomposition (SVD), and rational Chebyshev approximation 199f. 1081f.
Singular value decomposition (SVD), and rational Chebyshev approximation 199f. 1081f.
Singular value decomposition (SVD), approximation of matrices 58f.
Singular value decomposition (SVD), approximation of matrices 58f.
Singular value decomposition (SVD), backsubstitution 56 1022f.
Singular value decomposition (SVD), backsubstitution 56 1022f.
Singular value decomposition (SVD), confidence levels from 693f.
Singular value decomposition (SVD), confidence levels from 693f.
Singular value decomposition (SVD), covariance matrix 693f.
Singular value decomposition (SVD), covariance matrix 693f.
Singular value decomposition (SVD), fewer equations than unknowns 57
Singular value decomposition (SVD), fewer equations than unknowns 57
Singular value decomposition (SVD), for inverse problems 797
Singular value decomposition (SVD), in minimization 410
Singular value decomposition (SVD), in minimization 410
Singular value decomposition (SVD), more equations than unknowns 57f.
Singular value decomposition (SVD), more equations than unknowns 57f.
Singular value decomposition (SVD), of square matrix 53ff. 1023
Singular value decomposition (SVD), of square matrix 53ff. 1023
Singular value decomposition (SVD), parallel algorithms 1026
Singular value decomposition (SVD), parallel algorithms 1026
Singular value decomposition (SVD), use for ill-conditioned matrices 56 58 449
Singular value decomposition (SVD), use for ill-conditioned matrices 56 58 449
Singular value decomposition (SVD), use for orthonormal basis 58 94
Singular value decomposition (SVD), use for orthonormal basis 58 94
Singularities in integral equations 788ff. 1328
Singularities in integral equations 788ff. 1328
Singularities in integral equations, worked example 792 1328ff.
Singularities in integral equations, worked example 792 1328ff.
Singularities in integrands 135ff. 788 1055 1328ff.
Singularities in integrands 135ff. 788 1055 1328ff.
Singularities of hypergeometric function 203 263
Singularities of hypergeometric function 203 263
Singularities removal in numerical integration 137ff. 788 1057ff. 1328ff.
Singularities removal in numerical integration 137ff. 788 1057ff. 1328ff.
Singularity, subtraction of the 789
Singularity, subtraction of the 789
SIPSOL 824
SIPSOL 824
Six-step framework, for FFT 983 1240
Six-step framework, for FFT 983 1240
size() intrinsic function 938 942 945 948
size() intrinsic function 938 942 945 948
Skew array section 2/xii 945 960 985 1284
Skew array section 2/xii 945 960 985 1284
Skewness of distribution 606 608 1269
Skewness of distribution 606 608 1269
Smoothing importance in multigrid method 865
Smoothing importance in multigrid method 865
Smoothing of data 114 644ff. 1283f.
Smoothing of data 114 644ff. 1283f.
Smoothing of data in integral equations 781
Smoothing of data in integral equations 781
sn function 261 1137f.
sn function 261 1137f.
Snyder, N.L. 1/xvi
Snyder, N.L. 1/xvi
Sobol’s quasi-random sequence 300ff. 1160f.
Sobol’s quasi-random sequence 300ff. 1160f.
Sonata 9
Sonata 9
Sonnet 9
Sonnet 9
Sorting 320ff. 1167ff.
Sorting 320ff. 1167ff.
Sorting, bubble sort 1168
Sorting, bubble sort 1168
Sorting, bubble sort cautioned against 321
Sorting, bubble sort cautioned against 321
Sorting, by packing 1171
Sorting, by packing 1171
Sorting, by reshaping array slices 1168
Sorting, by reshaping array slices 1168
Sorting, compared to selection 333
Sorting, compared to selection 333
Sorting, covariance matrix 669 681 1289
Sorting, covariance matrix 669 681 1289
Sorting, eigenvectors 461f. 1227
Sorting, eigenvectors 461f. 1227
Sorting, Heapsort 320 327f. 336 1171f. 1179
Sorting, Heapsort 320 327f. 336 1171f. 1179
Sorting, index table 320 329f. 1170 1173ff. 1176
Sorting, index table 320 329f. 1170 1173ff. 1176
Sorting, operation count 320ff.
Sorting, operation count 320ff.
Sorting, parallel algorithms 1168 1171f. 1176
Sorting, parallel algorithms 1168 1171f. 1176
Sorting, Quicksort 320 323ff. 330 333 1169f.
Sorting, Quicksort 320 323ff. 330 333 1169f.
Sorting, radix sort 1172
Sorting, rank table 320 332 1176
Sorting, ranking 329 1176
Sorting, ranking 329 1176
Sorting, Shell’s method 321ff. 1168
Sorting, Shell’s method 321ff. 1168
Sorting, straight insertion 321f. 461f. 1167 1227
Sorting, straight insertion 321f. 461f. 1167 1227
SP, defined 937
SPARC or SPARCstation 1/xxii 2/xix 4
SPARC or SPARCstation 1/xxii 2/xix 4
Sparse linear equations 23 63ff. 732 1030
Sparse linear equations, band diagonal 43 1019ff.
Sparse linear equations, band diagonal 43 1019ff.
Sparse linear equations, biconjugate gradient method 77 599 1034
Sparse linear equations, data type for 1030
Sparse linear equations, in inverse problems 804
Sparse linear equations, in inverse problems 804
Sparse linear equations, indexed storage 71f. 1030
Sparse linear equations, minimum residual method 78
Sparse linear equations, minimum residual method 78
Sparse linear equations, named patterns 64 822
Sparse linear equations, named patterns 64 822
Sparse linear equations, partial differential equations 822ff.
Sparse linear equations, partial differential equations 822ff.
Sparse linear equations, relaxation method for boundary value problems 754 1316
Sparse linear equations, row-indexed storage 71f. 1030
Sparse linear equations, row-indexed storage 71f. 1030
Sparse linear equations, wavelet transform 584 598
Sparse linear equations, wavelet transform 584 598
Spearman rank-order coefficient 634f. 694f. 1277
Spearman rank-order coefficient 634f. 694f. 1277
Special functions see Function
Special functions see Function
Spectral analysis see Fourier transform; Periodogram
Spectral analysis see Fourier transform; Periodogram
Spectral density 541
Spectral density 541
Spectral density, and data windowing 545ff.
Spectral density, and data windowing 545ff.
Spectral density, figures of merit for data windows 548f.
Spectral density, figures of merit for data windows 548f.
Spectral density, normalization conventions 542f.
Spectral density, normalization conventions 542f.
Spectral density, one-sided PSD 492
Spectral density, one-sided PSD 492
Spectral density, periodogram 543ff. 566 1258ff.
Spectral density, periodogram 543ff. 566 1258ff.
Spectral density, power spectral density (PSD) 492f.
Spectral density, power spectral density (PSD) 492f.
Spectral density, power spectral density per unit time 493
| Spectral density, power spectral density per unit time 493
Spectral density, power spectrum estimation by FFT 542ff. 1254ff.
Spectral density, power spectrum estimation by FFT 542ff. 1254ff.
Spectral density, power spectrum estimation by MEM 565ff. 1258
Spectral density, power spectrum estimation by MEM 565ff. 1258
Spectral density, two-sided PSD 493
Spectral density, two-sided PSD 493
Spectral density, variance reduction in spectral estimation 545
Spectral density, variance reduction in spectral estimation 545
Spectral lines, how to smooth 644
Spectral methods for partial differential equations 825
Spectral methods for partial differential equations 825
Spectral radius 856ff. 862
Spectral radius 856ff. 862
Spectral test for random number generator 274
Spectral test for random number generator 274
Spectrum see Fourier transform
Spectrum see Fourier transform
Spherical Bessel functions 234
Spherical Bessel functions 234
Spherical Bessel functions, routine for 245 1121
Spherical Bessel functions, routine for 245 1121
Spherical harmonics 246ff.
Spherical harmonics 246ff.
Spherical harmonics, orthogonality 246
Spherical harmonics, orthogonality 246
Spherical harmonics, routine for 247f. 1122
Spherical harmonics, routine for 247f. 1122
Spherical harmonics, stable recurrence for 247
Spherical harmonics, stable recurrence for 247
Spherical harmonics, table of 246 (see also Associated Legendre polynomials)
Spherical harmonics, table of 246 (see also Associated Legendre polynomials)
Spheroidal harmonics 764ff. 770ff. 1319ff.
Spheroidal harmonics 764ff. 770ff. 1319ff.
Spheroidal harmonics, boundary conditions 765
Spheroidal harmonics, boundary conditions 765
Spheroidal harmonics, normalization 765
Spheroidal harmonics, normalization 765
Spheroidal harmonics, routine for 768ff. 1319ff. 1323ff.
Spheroidal harmonics, routine for 768ff. 1319ff. 1323ff.
SPLINE 100
SPLINE 100
Spline, cubic 107ff. 1044f.
Spline, cubic 107ff. 1044f.
Spline, gives tridiagonal system 109
Spline, gives tridiagonal system 109
Spline, natural 109 1044f.
Spline, natural 109 1044f.
Spline, operation count 109
Spline, operation count 109
Spline, two-dimensional (bicubic) 120f. 1050f.
Spline, two-dimensional (bicubic) 120f. 1050f.
Spread matrix 808
Spread matrix 808
Spread Spectrum 290
Spread Spectrum 290
spread() intrinsic function 945 950 969 1000 1094 1290f.
spread() intrinsic function 945 950 969 1000 1094 1290f.
spread() intrinsic function, and dimensional expansion 966ff.
spread() intrinsic function, and dimensional expansion 966ff.
Square root, complex 172
Square root, complex 172
Square root, multiple precision 912 1356f.
Square root, multiple precision 912 1356f.
Square window 546 1254ff.
Square window 546 1254ff.
SSP (small-scale parallel) machines 965ff. 972 974 984 1011 1016ff. 1021 1059f. 1226ff. 1250
SSP (small-scale parallel) machines 965ff. 972 974 984 1011 1016ff. 1021 1059f. 1226ff. 1250
Stability 20f.
Stability 20f.
Stability, and stiff differential equations 728f.
Stability, and stiff differential equations 728f.
Stability, Courant condition 829 832ff. 836 846
Stability, Courant condition 829 832ff. 836 846
Stability, diffusion equation 840
Stability, diffusion equation 840
Stability, in quadrature solution of Volterra equation 787f.
Stability, in quadrature solution of Volterra equation 787f.
Stability, mesh-drift in PDEs 834f.
Stability, mesh-drift in PDEs 834f.
Stability, nonlinear 831 837
Stability, nonlinear 831 837
Stability, of Clenshaw’s recurrence 177
Stability, of Clenshaw’s recurrence 177
Stability, of Gauss — Jordan elimination 27 29
Stability, of Gauss — Jordan elimination 27 29
Stability, of implicit differencing 729 840
Stability, of implicit differencing 729 840
Stability, of polynomial deflation 363
Stability, of polynomial deflation 363
Stability, of recurrence relations 173ff. 177 224f. 227f. 232 247
Stability, of recurrence relations 173ff. 177 224f. 227f. 232 247
Stability, partial differential equations 820 827f.
Stability, partial differential equations 820 827f.
Stability, von Neumann analysis for PDEs 827f. 830 833f. 840
Stability, von Neumann analysis for PDEs 827f. 830 833f. 840
Stabilized Kolmogorov — Smimov test 621
Stabilized Kolmogorov — Smimov test 621
Stabilizing functional 798
Stabilizing functional 798
Staggered leapfrog method 833f.
Staggered leapfrog method 833f.
Standard 901
Standard (probable) errors 610 656 661 667 671 684 1288 1290
Standard (probable) errors 610 656 661 667 671 684 1288 1290
Standard deviation of a distribution 605 1269
Standard deviation of a distribution 605 1269
Standard deviation of Fisher’s z 632
Standard deviation of Fisher’s z 632
Standard deviation of linear correlation coefficient 630
Standard deviation of linear correlation coefficient 630
Standard deviation of sum squared difference of ranks 635 1277
Standard deviation of sum squared difference of ranks 635 1277
Stars, as text separator 1009
Stars, as text separator 1009
Statement function, superseded by internal subprogram 1057 1256
Statement function, superseded by internal subprogram 1057 1256
Statement labels 9
Statement labels 9
Statistical error 653
Statistical error 653
Statistical tests 603ff. 1269ff.
Statistical tests 603ff. 1269ff.
Statistical tests, Anderson — Darling 621
Statistical tests, Anderson — Darling 621
Statistical tests, average deviation 605 1269
Statistical tests, average deviation 605 1269
Statistical tests, bootstrap method 686f.
Statistical tests, bootstrap method 686f.
Statistical tests, chi-square 614f. 623ff. 1272 1275f.
Statistical tests, chi-square 614f. 623ff. 1272 1275f.
Statistical tests, contingency coefficient C 625 1275
Statistical tests, contingency coefficient C 625 1275
Statistical tests, contingency tables 622ff. 638 1275f.
Statistical tests, contingency tables 622ff. 638 1275f.
Statistical tests, correlation 603f.
Statistical tests, correlation 603f.
Statistical tests, Cramer’s V 625 1275
Statistical tests, Cramer’s V 625 1275
Statistical tests, difference of distributions 614ff. 1272
Statistical tests, difference of distributions 614ff. 1272
Statistical tests, difference of means 609ff. 1269f.
Statistical tests, difference of means 609ff. 1269f.
Statistical tests, difference of variances 611 613 1271
Statistical tests, difference of variances 611 613 1271
Statistical tests, entropy measures of association 626ff. 1275f.
Statistical tests, entropy measures of association 626ff. 1275f.
Statistical tests, F-test 611 613 1271
Statistical tests, F-test 611 613 1271
Statistical tests, Fisher’s z-transformation 631f. 1276
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