Press W.H., Teukolsky S.A., Vetterling W.T. — Numerical recipes in FORTRAN77 :: Электронная библиотека попечительского совета мехмата МГУ

Главная Ex Libris Книги Журналы Статьи Серии Каталог Wanted Загрузка ХудЛит Справка Поиск по индексам Поиск Форум

Авторизация

Поиск по указателям

Press W.H., Teukolsky S.A., Vetterling W.T. — Numerical recipes in FORTRAN77

Обсудите книгу на научном форуме

Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter

Название: Numerical recipes in FORTRAN77

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

Язык:

Рубрика: Математика/Численные методы/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: Second Edition

Год издания: 1992

Количество страниц: 973

Добавлена в каталог: 01.03.2005

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

Предметный указатель

Index table      320 329f. 1173ff. 1176
Index this entry      1464
Inequality constraints      423
inheritance      8
Initial value problems      702 818f.
Initialization expression      943 959 1012 1127
Initialization of derived data type      2/xv
Injection operator      864 1337
Instability      see “Stability”
Integer model, in Fortran 90      1144 1149 1156
Integer programming      436
Integral equations      779ff.
Integral equations adaptive stepsize control      788
Integral equations block-by-block method      788
Integral equations correspondence with linear algebraic equations      779ff.
Integral equations degenerate kernel      785
Integral equations eigenvalue problems      780 785
Integral equations error estimate in solution      784
Integral equations Fredholm      779f. 782ff. 1325 1331
Integral equations Fredholm alternative      780
Integral equations homogeneous, second kind      785 1325
Integral equations ill-conditioned      780
Integral equations infinite range      789
Integral equations inverse problems      780 795ff.
Integral equations kernel      779
Integral equations nonlinear      781 787
Integral equations Nystrom method      782ff. 789 1325
Integral equations product Nystrom method      789 1328ff.
Integral equations subtraction of singularity      789
Integral equations symmetric kernel      785
Integral equations unstable quadrature      787f.
Integral equations Volterra      780f. 786ff. 1326f.
Integral equations wavelets      782 (see also “Inverse problems”)
Integral equations with singularities      788ff. 1328ff.
Integral equations with singularities, worked example      792 1328ff.
Integral operator, wavelet approximation of      597 782
Integration of functions      123ff. 1052ff.
Integration of functions cosine integrals      250 1125
Integration of functions Fourier integrals      577ff. 1261
Integration of functions Fourier integrals, infinite range      583
Integration of functions Fresnel integrals      248 1123
Integration of functions Gauss — Hermite      147f. 1062
Integration of functions Gauss — Jacobi      148 1063
Integration of functions Gauss — Laguerre      146 1060
Integration of functions Gauss — Legendre      145 1059
Integration of functions integrals that are elliptic integrals      254
Integration of functions path integration      201ff.
Integration of functions sine integrals      250 1125
Integro-differential equations      782
INTENT attribute      1072 1092
Interface (Fortran 90)      939 942 1067
Interface (Fortran 90) explicit      939 942 1067 1384
Interface (Fortran 90) for communication between program parts      957 1209 1293 1296
Interface (Fortran 90) for Numerical Recipes      1384ff.
Interface (Fortran 90) generic      2/xiii 940 1015 1083 1094 1096
Interface (Fortran 90) implicit      939
Interface block      939 1084 1384
Interface, in programs      2 8
Intermediate Value Theorem      343
Internal subprogram (Fortran 90)      2/xiv 954 957 1067 1202f. 1226
Internal subprogram (Fortran 90) nesting of      2/xii
Internal subprogram (Fortran 90) resembles C macro      1302
Internal subprogram (Fortran 90) supersedes statement function      1057 1256
International Standards Organization (ISO)      2/xf. 2/xiii
Internet, availability of code over      1/xx 2/xvii
Interpolation      99ff.
Interpolation Aifken’s algorithm      102
Interpolation and ordinary differential equations      101
Interpolation avoid 2-stage method      100
Interpolation avoid in Fourier analysis      569
Interpolation bicubic      118f. 1049f.
Interpolation bilinear      117
Interpolation caution on high-order      100
Interpolation coefficients of polynomial      100 113ff. 191 575 1047f. 1078
Interpolation error estimates for      100
Interpolation for computing Fourier integrals      578
Interpolation in multigrid method      866 1337
Interpolation inverse quadratic      353 395ff. 1204
Interpolation multidimensional      101f. 116ff. 1049ff.
Interpolation Neville’s algorithm      102f. 182 1043
Interpolation Nystrom      783 1326
Interpolation of functions with poles      104ff. 1043f.
Interpolation offset arrays      104 113
Interpolation operation count for      100
Interpolation operator      864 1337
Interpolation order of      100
Interpolation oscillations of polynomial      100 116 389 399
Interpolation parabolic, for minimum finding      395 1204
Interpolation polynomial      99 102ff. 182 1043
Interpolation rational Chebyshev approximation      197ff. 1081
Interpolation rational function      99 104ff. 194ff. 225 718ff. 726 1043f. 1080 1306
Interpolation reverse (extirpolation)      574 1261
Interpolation spline      100 107ff. 120f. 1044f. 1050f.
Interpolation trigonometric      99 (see also “Fitting”)
Interprocessor communication      969 981
Interval variable (statistics)      623
Intrinsic correlation function (ICF) model      817
Intrinsic data types      937
Intrinsic procedures array inquiry      938 942 948ff.
Intrinsic procedures array manipulation      950
Intrinsic procedures array reduction      948
Intrinsic procedures array unary and binary functions      949
Intrinsic procedures backwards-compatibility      946
Intrinsic procedures bit manipulation      2/xiii 951
Intrinsic procedures character      952
Intrinsic procedures cmplx      1254
Intrinsic procedures conversion elemental      946
Intrinsic procedures elemental      940 942 946f. 951 1083 1364
Intrinsic procedures generic      939 1083f. 1364
Intrinsic procedures lexical comparison      952
Intrinsic procedures numeric inquiry      2/xiv 1107 1231 1343
Intrinsic procedures numerical      946 951f.
Intrinsic procedures numerical representation      951
Intrinsic procedures pack used for sorting      1171
Intrinsic procedures random_number      1143
Intrinsic procedures real      1254
Intrinsic procedures top      10 945
Intrinsic procedures truncation      946f. (see also “Fortran 90”)
Inverse hyperbolic function      178 255
Inverse iteration      see “Eigensystems”
Inverse problems      779 795ff.
Inverse problems and integral equations      780
Inverse problems Backus — Gilbert method      806ff.
Inverse problems Bayesian approach      799 810f. 816f.
Inverse problems central idea      799
Inverse problems constrained linear inversion method      799ff.
Inverse problems data inversion      807
Inverse problems deterministic constraints      804ff.
Inverse problems Gerchberg — Saxton algorithm      805
Inverse problems in geophysics      809
Inverse problems incomplete Fourier coefficients      813
Inverse problems linear regularization      799ff.
Inverse problems maximum entropy method (MEM)      810 815f.
Inverse problems MEM demystified      814
Inverse problems Phillips — Twomey method      799ff.
Inverse problems principal solution      797
Inverse problems regularization      796ff.
Inverse problems regularizing operator      798
Inverse problems stabilizing functional      798
Inverse problems Tikhonov — Miller regularization      799ff.
Inverse problems trade-off curve      795
Inverse problems trade-off curve, Backus — Gilbert method      809
Inverse problems two-dimensional regularization      803
Inverse problems use of conjugate gradient minimization      804 815
Inverse problems use of convex sets      804
Inverse problems use of Fourier transform      803 805
Inverse problems Van Cittert’s method      804
Inverse quadratic interpolation      353 395ff. 1204
Inverse response kernel, in Backus — Gilbert method      807
Inverse trigonometric function      255

ior() intrinsic function      951
ISBN (International Standard Book Number) checksum      894
ishft() intrinsic function      951
ishftc() intrinsic function      951
ISO (International Standards Organization)      2/xf. 2/xiii
Iterated integrals      155
Iteration      9f.
Iteration for linear algebraic equations      26
Iteration functional      740f.
Iteration in root finding      340f.
Iteration matrix      856
Iteration required for two-point boundary value problems      745
Iteration to improve solution of linear algebraic equations      47ff. 195 1022
ITPACK      71
Iverson, John      2/xi
Jacobi matrix, for Gaussian quadrature      150 1064
Jacobi polynomials, approximation of roots      1064
Jacobi transformation (or rotation)      94 453 456ff. 462 475 489 1041 1225
Jacobian determinant      279 774
Jacobian elliptic functions      261 1137f.
Jacobian matrix      374 376 379 382 731 1197f. 1309
Jacobian matrix singular in Newton’s rule      386
Jacobi’s method (relaxation)      855ff. 864
Jenkins — Traub method      369
Julian Day      1 13 16 936 1010ff.
Jump transposition errors      895
K-S test      see “Kolmogorov — Smirnov test”
Kalman filter      700
Kanji      2/xii
Kaps — Rentrop method      730 1308
Kendall’s tau      634 637ff. 1279
Kennedy, Ken      2/xv
Kepler’s equation      1061
Kermit checksum      889
Kernel      779
Kernel averaging, in Backus — Gilbert method      807
Kernel degenerate      785
Kernel finite rank      785
Kernel inverse response      807
Kernel separable      785
Kernel singular      788f. 1328
Kernel symmetric      785
Keys used in sorting      329 889
Keyword argument      2/xiv 947f. 1341
KIND parameter      946 1261 1284
KIND parameter and cmplx() intrinsic function      1125 1192 1254
KIND parameter and real() intrinsic function      1125
KIND parameter default      937
KIND parameter for Numerical Recipes      1361
KIND parameter for random numbers      1144
kind() intrinsic function      951
Kolmogorov — Smirnov test      614 617ff. 694 1273f.
Kolmogorov — Smirnov test two-dimensional      640 1281ff.
Kolmogorov — Smirnov test variants      620ff. 640 1281
Kuiper’s statistic      621
kurtosis      606 608 1269
L-estimate      694
Labels, statement      9
Lag      492 538 553
Lagged Fibonacci generator      1142 1148ff.
Lagrange multiplier      795
Lagrange’s formula for polynomial interpolation      84 102f. 575 578
Laguerre polynomials, approximation of roots      1061
Laguerre’s method      341 365f. 1191f.
Lanczos lemma      498f.
Lanczos method for gamma function      206 1085
Landen transformation      256
LAPACK      26 1230
Laplace’s equation      246 818
Las Vegas      625
Latin square or hypercube      305f.
Laurent series      566
Lax method      828ff. 836 845f.
Lax method multidimensional      845f.
Lax — Wendroff method      835ff.
lbound() intrinsic function      949
Leakage in power spectrum estimation      544 548
Leakage width      548f.
Leapfrog method      833f.
Least squares filters      see “Savitzky — Golay filters”
Least squares fitting      645 651ff. 655ff. 660ff. 665ff. 1285f. 1288f.
Least squares fitting as M-estimate for normal errors      696
Least squares fitting as maximum likelihood estimator      652
Least squares fitting as method for smoothing data      645 1283
Least squares fitting as method for smoothing data Fourier components      1258
Least squares fitting contrasted to general minimization problems      684ff.
Least squares fitting degeneracies in      671f. 674
Least squares fitting for rational Chebyshev approximation      199f. 1081f.
Least squares fitting for spectral analysis      570 1258
Least squares fitting Fourier components      570
Least squares fitting freezing parameters in      668 700
Least squares fitting general linear case      665ff. 1288 1290f.
Least squares fitting Levenberg — Marquardt method      678ff. 816 1292f.
Least squares fitting Lomb periodogram      570 1258
Least squares fitting multidimensional      675
Least squares fitting nonlinear      386 675ff. 816 1292
Least squares fitting nonlinear, advanced methods      683
Least squares fitting normal equations      645 666f. 800 1288
Least squares fitting normal equations often singular      670 674
Least squares fitting optimal (Wiener) filtering      540f.
Least squares fitting QR method in      94 668
Least squares fitting relation to linear correlation      630 658
Least squares fitting Savitzky — Golay filter as      645 1283
Least squares fitting singular value decomposition (SVD)      25f. 51ff. 199f. 670ff. 1081 1290
Least squares fitting skewed by outliers      653
Least squares fitting standard (probable) errors on fitted parameters      667 671
Least squares fitting weighted      652 (see also “Fitting”)
Left eigenvalues or eigenvectors      451
Legal matters      1/xx 2/xvii
Legendre elliptic integral      see “Elliptic integrals”
Legendre polynomials      246 1122
Legendre polynomials fitting data to      674 1291f.
Legendre polynomials recurrence relation      172
Legendre polynomials shifted monic      151 (see also “Associated Legendre polynomials”; “Spherical harmonics”)
Lehmer — Schur algorithm      369
Lemarie’s wavelet      593
Lentz’s method for continued fraction      165 212
Lepage, P.      309
Leptokurtic distribution      606
Levenberg — Marquardt algorithm      386 678ff. 816 1292
Levenberg — Marquardt algorithm advanced implementation      683
Levinson’s method      86 1038
Lewis, H.W.      275
Lexical comparison functions      952
LGT, defined      937
License information      1/xx 2/xviiff.
Limbo      356
Limit cycle, in Laguerre’s method      365
Line minimization      see “Minimization along
Line search      see “Minimization along
Linear algebra, intrinsic functions for parallelization      969f. 1026 1040 1200 1326
Linear algebraic equations      22ff. 1014
Linear algebraic equations and integral equations      779ff. 783 1325
Linear algebraic equations band diagonal      43ff. 1019
Linear algebraic equations biconjugate gradient method      77 1034ff.
Linear algebraic equations Cholesky decomposition      89f. 423 455 668 1038f.
Linear algebraic equations complex      41
Linear algebraic equations computing $A^{-1} B$       40
Linear algebraic equations conjugate gradient method      77ff. 599 1034
Linear algebraic equations cyclic tridiagonal      67 1030
Linear algebraic equations direct methods      26 64 1014 1030
Linear algebraic equations Fortran 90 vs. library routines      1016
Linear algebraic equations Gauss — Jordan elimination      27ff. 1014
Linear algebraic equations Gaussian elimination      33f. 1014f.
Linear algebraic equations Hilbert matrix      83
Linear algebraic equations Hotelling’s method      49 598
Linear algebraic equations iterative improvement      47ff. 195 1022
Linear algebraic equations iterative methods      26 77ff. 1034
Linear algebraic equations large sets of      23
Linear algebraic equations least squares solution      53ff. 57f. 199f. 671 1081 1290

1 2 3 4 5 6 7 8 9 10 11 12 13 14

О проекте