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Press W.H., Teukolsky S.A., Vetterling W.T. — Numerical recipes in Fortran 90 |
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Предметный указатель |
Pointer (Fortran 90), allocating an array 941
Pointer (Fortran 90), allocating an array 941
Pointer (Fortran 90), allocating storage for derived type 955
Pointer (Fortran 90), allocating storage for derived type 955
Pointer (Fortran 90), array of, forbidden 956 1337
Pointer (Fortran 90), array of, forbidden 956 1337
Pointer (Fortran 90), as alias 939 944f. 1286 1333
Pointer (Fortran 90), as alias 939 944f. 1286 1333
Pointer (Fortran 90), associated with target 938f. 944f. 952f. 1197
Pointer (Fortran 90), associated with target 938f. 944f. 952f. 1197
Pointer (Fortran 90), for array of arrays 956 1336
Pointer (Fortran 90), for array of arrays 956 1336
Pointer (Fortran 90), in Fortran 95 961
Pointer (Fortran 90), in Fortran 95 961
Pointer (Fortran 90), initialization to null 2/xv 961
Pointer (Fortran 90), initialization to null 2/xv 961
Pointer (Fortran 90), returning array of unknown size 955f. 1184 1259 1261 1327
Pointer (Fortran 90), returning array of unknown size 955f. 1184 1259 1261 1327
Pointer (Fortran 90), to function, forbidden 1067 1210
Pointer (Fortran 90), to function, forbidden 1067 1210
Pointer (Fortran 90), undefined status 952f. 961 1070 1266 1302
Pointer (Fortran 90), undefined status 952f. 961 1070 1266 1302
Poisson equation 519 818 852
Poisson equation 519 818 852
Poisson probability function, cumulative 214
Poisson probability function, cumulative 214
Poisson probability function, deviates from 281 283ff. 571 1154
Poisson probability function, deviates from 281 283ff. 571 1154
Poisson probability function, semi-invariants of 608
Poisson probability function, semi-invariants of 608
Poisson probability function, tails compared to Gaussian 653
Poisson probability function, tails compared to Gaussian 653
Poisson process 278 282ff. 1153
Poisson process 278 282ff. 1153
Polak — Ribiere algorithm 390 414ff. 1214
Polak — Ribiere algorithm 390 414ff. 1214
Poles see Complex plane poles
Poles see Complex plane poles
Polishing of roots 356 363ff. 370f. 1193
Polishing of roots 356 363ff. 370f. 1193
poly() utility function 973 977 989 998 1072 1096 1192 1258 1284
poly() utility function 973 977 989 998 1072 1096 1192 1258 1284
Polymorphism 8
Polymorphism 8
Polynomial interpolation 99 102ff. 1043
Polynomial interpolation 99 102ff. 1043
Polynomial interpolation, Aitken’s algorithm 102
Polynomial interpolation, Aitken’s algorithm 102
Polynomial interpolation, coefficients for 113ff. 1047f.
Polynomial interpolation, coefficients for 113ff. 1047f.
Polynomial interpolation, in Bulirsch — Stoer method 724 726 1305
Polynomial interpolation, in Bulirsch — Stoer method 724 726 1305
Polynomial interpolation, in predictor-corrector method 740
Polynomial interpolation, in predictor-corrector method 740
Polynomial interpolation, Lagrange’s formula 84 102f.
Polynomial interpolation, Lagrange’s formula 84 102f.
Polynomial interpolation, multidimensional 116ff. 1049ff.
Polynomial interpolation, multidimensional 116ff. 1049ff.
Polynomial interpolation, Neville’s algorithm 102f. 105 134 182 1043
Polynomial interpolation, Neville’s algorithm 102f. 105 134 182 1043
Polynomial interpolation, pathology in determining coefficients for 116
Polynomial interpolation, pathology in determining coefficients for 116
Polynomial interpolation, smoothing filters 645 (see also Interpolation)
Polynomial interpolation, smoothing filters 645 (see also Interpolation)
Polynomials 167ff.
Polynomials 167ff.
Polynomials, algebraic manipulations 169 1072
Polynomials, algebraic manipulations 169 1072
Polynomials, approximate roots of Hermite polynomials 1062
Polynomials, approximate roots of Hermite polynomials 1062
Polynomials, approximate roots of Jacobi polynomials 1064
Polynomials, approximate roots of Jacobi polynomials 1064
Polynomials, approximate roots of Laguerre polynomials 1061
Polynomials, approximate roots of Laguerre polynomials 1061
Polynomials, approximating modified Bessel functions 230
Polynomials, approximating modified Bessel functions 230
Polynomials, approximation from Chebyshev coefficients 191 1078f.
Polynomials, approximation from Chebyshev coefficients 191 1078f.
Polynomials, AUTODIN — II 890
Polynomials, AUTODIN — II 890
Polynomials, CCITT 889f.
Polynomials, CCITT 889f.
Polynomials, characteristic 368 1193
Polynomials, characteristic, for digital filters 554 559 1257
Polynomials, characteristic, for digital filters 554 559 1257
Polynomials, characteristic, for eigenvalues of matrix 449 469
Polynomials, characteristic, for eigenvalues of matrix 449 469
Polynomials, Chebyshev 184ff. 1076ff.
Polynomials, Chebyshev 184ff. 1076ff.
Polynomials, coefficients from roots 980
Polynomials, coefficients from roots 980
Polynomials, CRC-16 890
Polynomials, CRC-16 890
Polynomials, cumulants of 977 999 1071f. 1192 1365 1378f.
Polynomials, cumulants of 977 999 1071f. 1192 1365 1378f.
Polynomials, deflation 362ff. 370f. 977
Polynomials, deflation 362ff. 370f. 977
Polynomials, derivatives of 167 978 1071
Polynomials, derivatives of 167 978 1071
Polynomials, division 84 169 362 370 977 1072
Polynomials, division 84 169 362 370 977 1072
Polynomials, evaluation of 167 972 977 998f. 1071 1258 1365 1376ff.
Polynomials, evaluation of 167 972 977 998f. 1071 1258 1365 1376ff.
Polynomials, evaluation of derivatives 167 978 1071
Polynomials, extrapolation in Bulirsch — Stoer method 724 726 1305f.
Polynomials, extrapolation in Romberg integration 134
Polynomials, fitting 83 114 191 645 665 674 1078f. 1291
Polynomials, generator for CRC 889
Polynomials, generator for CRC 889
Polynomials, ill-conditioned 362
Polynomials, ill-conditioned 362
Polynomials, masked evaluation of 1378
Polynomials, masked evaluation of 1378
Polynomials, matrix method for roots 368 1193
Polynomials, matrix method for roots 368 1193
Polynomials, minimax 186 198 1076
Polynomials, minimax 186 198 1076
Polynomials, monic 142f.
Polynomials, monic 142f.
Polynomials, multiplication 169
Polynomials, multiplication 169
Polynomials, operation count for 168
Polynomials, operation count for 168
Polynomials, orthonormal 142 184 1009 1061
Polynomials, orthonormal 142 184 1009 1061
Polynomials, parallel operations on 977ff. 998f. 1071f. 1192
Polynomials, parallel operations on 977ff. 998f. 1071f. 1192
Polynomials, primitive modulo 2 287ff. 301f. 889
Polynomials, primitive modulo 2 287ff. 301f. 889
Polynomials, roots of 178ff. 362ff. 368 1191ff.
Polynomials, roots of 178ff. 362ff. 368 1191ff.
Polynomials, shifting of 192f. 978 1079
Polynomials, shifting of 192f. 978 1079
Polynomials, stopping criterion in root finding 366
Polynomials, stopping criterion in root finding 366
poly_term() utility function 974 977 989 999 1071f. 1192
Port, serial data 892
Port, serial data 892
Portability 3 963
Portability 3 963
Portable random number generator see Random number generator
Portable random number generator see Random number generator
Positive definite matrix, testing for 90
Positive definite matrix, testing for 90
Positivity constraints 423
Positivity constraints 423
Postal Service (U.S.), barcode 894
Postal Service (U.S.), barcode 894
PostScript 1/xvi 1/xxiii 2/xx
PostScript 1/xvi 1/xxiii 2/xx
| Powell’s method 389 402 406ff. 1210ff.
Powell’s method 389 402 406ff. 1210ff.
Power (in a signal) 492f.
Power (in a signal) 492f.
Power series 159ff. 167 195
Power series 159ff. 167 195
Power series, economization of 192f. 1061 1080
Power series, economization of 192f. 1061 1080
Power series, Pad approximant of 194ff. 1080f.
Power series, Pad approximant of 194ff. 1080f.
Power spectral density see Fourier transform; Spectral density
Power spectral density see Fourier transform; Spectral density
Power spectrum estimation see Fourier transform; Spectral density
Power spectrum estimation see Fourier transform; Spectral density
PowerStation, Microsoft Fortran 2/xix
PowerStation, Microsoft Fortran 2/xix
PPM (piecewise parabolic method) 837
PPM (piecewise parabolic method) 837
Precision, converting to double 1362
Precision, converting to double 1362
Precision, floating point 882 937 1343 1361ff.
Precision, floating point 882 937 1343 1361ff.
Precision, multiple 906ff. 1352ff. 1362
Precision, multiple 906ff. 1352ff. 1362
Preconditioned biconjugate gradient method (PBCG) 78f.
Preconditioned biconjugate gradient method (PBCG) 78f.
Preconditioning, in conjugate gradient methods 824
Preconditioning, in conjugate gradient methods 824
Predictor-corrector methods 702 730 740ff.
Predictor-corrector methods 702 730 740ff.
Predictor-corrector methods, Adams — Bashforth — Moulton schemes 741
Predictor-corrector methods, Adams — Bashforth — Moulton schemes 741
Predictor-corrector methods, adaptive order methods 744
Predictor-corrector methods, adaptive order methods 744
Predictor-corrector methods, compared to other methods 740
Predictor-corrector methods, compared to other methods 740
Predictor-corrector methods, fallacy of multiple correction 741
Predictor-corrector methods, fallacy of multiple correction 741
Predictor-corrector methods, functional iteration vs. Newton’s rule 742
Predictor-corrector methods, functional iteration vs. Newton’s rule 742
Predictor-corrector methods, multivalue compared with multistep 742ff.
Predictor-corrector methods, multivalue compared with multistep 742ff.
Predictor-corrector methods, starting and stopping 742 744
Predictor-corrector methods, starting and stopping 742 744
Predictor-corrector methods, stepsize control 742f.
Predictor-corrector methods, stepsize control 742f.
Predictor-corrector methods, with fixed number of iterations 741
Predictor-corrector methods, with fixed number of iterations 741
present() intrinsic function 952
Prime numbers 915
Prime numbers 915
Primitive polynomials modulo 2 287ff. 301f. 889
Primitive polynomials modulo 2 287ff. 301f. 889
Principal directions 408f. 1210
Principal directions 408f. 1210
Principal solution, of inverse problem 797
Principal solution, of inverse problem 797
PRIVATE attribute 957 1067
PRIVATE attribute 957 1067
Prize, $1000 offered 272 1141 1150f.
Prize, $1000 offered 272 1141 1150f.
probability see Random number generator; Statistical tests
probability see Random number generator; Statistical tests
Probability density, change of variables in 278f.
Probability density, change of variables in 278f.
Procedure see Program(s); Subprogram
Procedure see Program(s); Subprogram
Process loss 548
Process loss 548
Product Nystrom method 789 1331
Product Nystrom method 789 1331
product() intrinsic function 948
product() intrinsic function 948
Program(s), as black boxes 1/xviii 6 26 52 205 341 406
Program(s), as black boxes 1/xviii 6 26 52 205 341 406
Program(s), dependencies 921ff. 1434ff.
Program(s), dependencies 921ff. 1434ff.
Program(s), encapsulation 7
Program(s), encapsulation 7
Program(s), interfaces 2 8
Program(s), interfaces 2 8
Program(s), modularization 7f.
Program(s), modularization 7f.
Program(s), organization 5ff.
Program(s), organization 5ff.
Program(s), type declarations 2
Program(s), type declarations 2
Program(s), typography of 2f. 12 937
Program(s), typography of 2f. 12 937
Program(s), validation 3f.
Program(s), validation 3f.
Programming, serial vs. parallel 965 987
Programming, serial vs. parallel 965 987
Projection onto convex sets (POCS) 805
Projection onto convex sets (POCS) 805
Projection operator, nonexpansive 805
Projection operator, nonexpansive 805
Prolongation operator 864 1337
Prolongation operator 864 1337
Protocol, for communications 888
PSD (power spectral density) see Fourier transform; Spectral density
PSD (power spectral density) see Fourier transform; Spectral density
Pseudo-random numbers 266ff 1141ff.
Pseudo-random numbers 266ff 1141ff.
PUBLIC attribute 957 1067
PUBLIC attribute 957 1067
Puns, particularly bad 167 744 747
Puns, particularly bad 167 744 747
PURE attribute 2/xv 960f. 964 986
PURE attribute 2/xv 960f. 964 986
put_diag() utility function 985 990 1005 1200
put_diag() utility function 985 990 1005 1200
Pyramidal algorithm 586 1264
Pyramidal algorithm 586 1264
Pythagoreans 392
Pythagoreans 392
QL see Eigensystems
QL see Eigensystems
qr see Eigensystems
qr see Eigensystems
QR decomposition 91f. 382 386 1039f. 1199
QR decomposition 91f. 382 386 1039f. 1199
QR decomposition, and least squares 668
QR decomposition, and least squares 668
QR decomposition, backsubstitution 92 1040
QR decomposition, backsubstitution 92 1040
QR decomposition, operation count 92
QR decomposition, operation count 92
QR decomposition, pivoting 92
QR decomposition, pivoting 92
QR decomposition, updating 94 382 386 1041 1199
QR decomposition, updating 94 382 386 1041 1199
QR decomposition, use for orthonormal basis 58 94
QR decomposition, use for orthonormal basis 58 94
Quadratic convergence 49 256 351 356 409f. 419 906
Quadratic convergence 49 256 351 356 409f. 419 906
Quadratic equations 20 178 391 457
Quadratic equations 20 178 391 457
Quadratic interpolation 353 364
Quadratic interpolation 353 364
Quadratic programming 436
Quadratic programming 436
Quadrature 123ff. 1052ff.
Quadrature 123ff. 1052ff.
Quadrature mirror filter 585 593
Quadrature mirror filter 585 593
Quadrature, adaptive 123 190 788
Quadrature, adaptive 123 190 788
Quadrature, alternative extended Simpson’s rule 128
Quadrature, alternative extended Simpson’s rule 128
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