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Press W.H., Teukolsky S.A., Vetterling W.T. — Numerical recipes in Fortran 90
Press W.H., Teukolsky S.A., Vetterling W.T. — Numerical recipes in Fortran 90



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Название: Numerical recipes in Fortran 90

Авторы: Press W.H., Teukolsky S.A., Vetterling W.T.

Язык: en

Рубрика: Computer science/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 2-d edition

Год издания: 2002

Количество страниц: 572

Добавлена в каталог: 25.11.2012

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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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