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

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

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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

Operation count QR method for Hessenberg matrices      484
Operation count reduction to Hessenberg form      479
Operation count selection by partitioning      333
Operation count sorting      320ff.
Operation count Spearman rank-order coefficient      638
Operation count Toeplitz matrix      83
Operation count Vandermonde matrix      83
Operator overloading      2/xiif. 7
Operator splitting      823 847f. 861
Operator, user — defined      2/xii
Optimal (Wiener) filtering      535 539ff. 558 644
Optimal (Wiener) filtering compared with regularization      801
Optimal feasible vector      424
Optimization      see “Minimization”
Optimization of code      2/xiii
Optional argument      2/xiv 947f. 1092 1228 1230 1256 1272 1275 1340
Optional argument dim      948
Optional argument mask      948 968 1038
Optional argument testing for      952
Ordering Numerical Recipes      1/xxf. 2/xviif.
Ordinal variable (statistics)      623
Ordinary differential equations      see “Differential equations”
Orthogonal      see “Orthonormal functions”;” Orthonormal polynomials”
Orthogonal transformation      452 463ff. 469 584 1227
Orthonormal basis, constructing      58 94 1039
Orthonormal functions      142 246
Orthonormal polynomials and Gaussian quadrature      142 1009 1061
Orthonormal polynomials Chebyshev      144 184ff. 1076ff.
Orthonormal polynomials construct for arbitrary weight      151ff. 1064
Orthonormal polynomials Gaussian weights from recurrence      150 1064
Orthonormal polynomials Hermite      144 1062
Orthonormal polynomials in Gauss — Hermite integration      147 1062
Orthonormal polynomials Jacobi      144 1063
Orthonormal polynomials Laguerre      144 1060
Orthonormal polynomials Legendre      144 1059
Orthonormal polynomials weight function logx      153
Orthonormality      51 142 463
Outer product Gaussian elimination      1017
Outer product of matrices (denoted by cross)      66 420 949 969f. 989 1000ff. 1017 1026 1040 1076 1200 1216 1275
outerand() utility function      989 1002 1015
outerdiff() utility function      989 1001
outerdiv() utility function      989 1001
outerprod() utility function      970 989 1000 1017 1026 1040 1076 1200 1216 1275
outersum() utility function      989 1001
Outgoing wave boundary conditions      820
Outlier      605 653 656 694 697
Overcorrection      857
Overflow      882 1343
Overflow how to avoid in modulo multiplication      269
Overflow in complex arithmetic      171
Overlap — add and overlap — save methods      536f.
Overloading operator      2/xiif.
Overloading procedures      940 1015 1083 1094 1096
Overrelaxation parameter      857 1332
Overrelaxation parameter choice of      858
Pack — unpack idiom      1087 1134 1153
Pack() intrinsic function      945 950 964 991 1031
Pack() intrinsic function communication bottleneck      969
Pack() intrinsic function for index table      1176
Pack() intrinsic function for partition — exchange      1170
Pack() intrinsic function for selection      1178
Pack() intrinsic function for selective evaluation      1087
Pade approximant      194ff. 1080f.
Pade approximant of      194ff. 1080f.
Pade approximation      105
Parabolic interpolation      395 1204
Parabolic partial differential equations      818 838ff.
Parallel axis theorem      308
Parallel programming      2/xv 941 958ff. 962ff. 965f. 968f. 987
Parallel programming array operations      964f.
Parallel programming array ranking      1278f.
Parallel programming band diagonal linear equations      1021
Parallel programming Bessel functions      1107ff.
Parallel programming broadcasts      965ff.
Parallel programming C and C++      2/viii
Parallel programming communication costs      969 981 1250
Parallel programming counting do — loops      1015
Parallel programming cyclic reduction      974
Parallel programming deflation      977ff.
Parallel programming design matrix      1082
Parallel programming dimensional expansion      965ff.
Parallel programming eigensy stems      1226 1229f.
Parallel programming fast Fourier transform (FFT)      981 1235ff. 1250
Parallel programming Fortran 90 tricks      1009 1274 1278 1280
Parallel programming function evaluation      986 1009 1084f. 1087 1090 1102 1128 1134
Parallel programming Gaussian quadrature      1009 1061
Parallel programming geometric progressions      972
Parallel programming in Fortran 90      963ff.
Parallel programming in-place selection      1178f.
Parallel programming index loss      967f. 1038
Parallel programming index table      1176f.
Parallel programming interprocessor communication      981
Parallel programming Kendall’s tau      1280
Parallel programming linear algebra      969f. 1000ff. 1018f. 1026 1040 1200 1326
Parallel programming linear recurrence      973f. 1073ff.
Parallel programming logo      2/viii 1009
Parallel programming masks      967f. 1006f. 1038 1102 1200 1226 1305 1333f. 1368 1378 1382
Parallel programming merge statement      1010
Parallel programming MIMD (multiple instruction, multiple data)      964 985f. 1084
Parallel programming MMP (massively multiprocessor) machines      965ff. 974 984 1016ff. 1226ff. 1250
Parallel programming nrutil.f90(module file)      1364ff.
Parallel programming odd-even ordering      1333
Parallel programming one-dimensional FFT      982f.
Parallel programming parallel note icon      1009
Parallel programming partial differential equations      1333
Parallel programming polynomial coefficients from roots      980
Parallel programming polynomial evaluation      972f. 977 998
Parallel programming random numbers      1009 1141ff.
Parallel programming recursive doubling      973f. 976f. 979 988 999 1071ff.
Parallel programming scatter — with — combine      984 1002f. 1032f.
Parallel programming second order recurrence      974f. 1074
Parallel programming SIMD (Single Instruction Multiple Data)      964 985f. 1009 1084f.
Parallel programming singular value decomposition (SVD)      1026
Parallel programming sorting      1167ff. 1171 1176f.
Parallel programming special functions      1009
Parallel programming SSP (small — scale parallel) machines      965ff. 984 1010ff. 1016ff. 1059f. 1226ff. 1250
Parallel programming subvector scaling      972 974 996 1000
Parallel programming successive over — relaxation (SOR)      1333
Parallel programming supercomputers      2/viii 962
Parallel programming SVD algorithm      1026
Parallel programming synthetic division      977ff. 999 1048 1071f. 1079 1192
Parallel programming tridiagonal systems      975f. 1018 1229f.
Parallel programming utilities      1364ff.
Parallel programming vector reduction      972f. 977 998
Parallel programming vs. serial programming      965 987
PARAMETER attribute      1012
Parameters in fitting function      651 684ff.
Parity bit      888
Park and Miller minimal standard random generator      269 1142
Parkinson’s Law      328
Parseval’s theorem      492 544
Parseval’s Theorem discrete form      498
Partial differential equations      818ff. 1332ff.
Partial differential equations advective equation      826
Partial differential equations alternating — direction implicit method (ADI)      847 861f.
Partial differential equations amplification factor      828 834
Partial differential equations analyze/factorize/operate package      824
Partial differential equations artificial viscosity      831 837
Partial differential equations biconjugate gradient method      824
Partial differential equations boundary conditions      819ff.
Partial differential equations boundary value problems      819 848
Partial differential equations Cauchy problem      818f.
Partial differential equations caution on high — order methods      844f.
Partial differential equations Cayley’s form      844
Partial differential equations characteristics      818
Partial differential equations Chebyshev acceleration      859f. 1332
Partial differential equations classification of      818f.
Partial differential equations comparison of rapid methods      854
Partial differential equations conjugate gradient method      824
Partial differential equations Courant condition      829 832ff. 836

Partial differential equations Courant condition (multidimensional)      846
Partial differential equations Crank — Nicholson method      840 842 844 846
Partial differential equations cyclic reduction (CR) method      848f. 852ff.
Partial differential equations diffusion equation      818 838ff. 846 855
Partial differential equations Dirichlet boundary conditions      508 820 840 850 856 858
Partial differential equations elliptic, defined      818
Partial differential equations error, varieties of      831ff.
Partial differential equations explicit vs. implicit differencing      827
Partial differential equations FACR method      854
Partial differential equations finite difference method      821ff.
Partial differential equations finite element methods      824
Partial differential equations flux-conservative initial value problems      825ff.
Partial differential equations forward Euler differencing      826f.
Partial differential equations Forward Time Centered Space (FTCS)      827ff. 839ff. 843 855
Partial differential equations Fourier analysis and cyclic reduction (FACR)      848ff. 854
Partial differential equations Gauss — Seidel method (relaxation)      855 864ff. 876 1338 1341
Partial differential equations Godunov’s method      837
Partial differential equations Helmholtz equation      852
Partial differential equations hyperbolic      818 825f.
Partial differential equations implicit differencing      840
Partial differential equations incomplete Cholesky conjugate gradient method (ICCG)      824
Partial differential equations inhomogeneous boundary conditions      850f.
Partial differential equations initial value problems      818f.
Partial differential equations initial value problems, recommendations on      838ff.
Partial differential equations Jacobi’s method (relaxation)      855ff. 864
Partial differential equations Laplace’s equation      818
Partial differential equations Lax method      828ff. 836 845f.
Partial differential equations Lax method (multidimensional)      845f.
Partial differential equations matrix methods      824
Partial differential equations mesh — drift instability      834f.
Partial differential equations Monte Carlo methods      824
Partial differential equations multidimensional initial value problems      844ff.
Partial differential equations multigrid method      824 862ff. 1009 1334ff.
Partial differential equations Neumann boundary conditions      508 820 840 851 858
Partial differential equations nonlinear diffusion equation      842
Partial differential equations nonlinear instability      831
Partial differential equations numerical dissipation or viscosity      830
Partial differential equations operator splitting      823 847f. 861
Partial differential equations outgoing wave boundary conditions      820
Partial differential equations parabolic      818 838ff.
Partial differential equations parallel computing      1333
Partial differential equations periodic boundary conditions      850 858
Partial differential equations piecewise parabolic method (PPM)      837
Partial differential equations Poisson equation      818 852
Partial differential equations rapid (Fourier) methods      508ff. 824 848ff.
Partial differential equations relaxation methods      823 854ff. 1332f.
Partial differential equations Schrodinger equation      842ff.
Partial differential equations second — order accuracy      833ff. 840
Partial differential equations shock      831 837
Partial differential equations sparse matrices from      64
Partial differential equations spectral methods      825
Partial differential equations spectral radius      856ff. 862
Partial differential equations stability vs. accuracy      830
Partial differential equations stability vs. efficiency      821
Partial differential equations staggered grids      513 852
Partial differential equations staggered leapfrog method      833f.
Partial differential equations strongly implicit procedure      824
Partial differential equations successive over-relaxation (SOR)      857ff. 862 866 1332f.
Partial differential equations time splitting      847f. 861
Partial differential equations two-step Lax — Wendroff method      835ff.
Partial differential equations upwind differencing      832f. 837
Partial differential equations variational methods      824
Partial differential equations varieties of error      831ff.
Partial differential equations von Neumann stability analysis      827f. 830 833f. 840
Partial differential equations wave equation      818 825f.
Partial pivoting      29
Partition-exchange      323 333
Partition-exchange and pack() intrinsic function      1170
Partitioned matrix, inverse of      70
Party tricks      95ff. 168
Parzen window      547
Pascal, Numerical Recipes in      2/x 2/xvii 1
Pass-the-buck idiom      1102 1128
Path integration, for function evaluation      201ff. 263 1138
Pattern multiply of sparse matrices      74
PBCG (preconditioned biconjugate gradient method)      78f. 824
PC methods      see “Predictor-corrector methods”
PCGPACK      71
PDEs      see “Partial differential equations”
Pearson’s r      630ff. 1276
PECE method      741
Pentagon, symmetries of      895
percentile      320
Period of linear congruential generator      268
Periodic boundary conditions      850 858
Periodogram      543ff. 566 1258ff.
Periodogram Lomb’s normalized      569f. 574f. 1258ff.
Periodogram variance of      544f.
Perl (programming language)      1/xvi
Perron’s theorems, for convergence of recurrence relations      174f.
Perturbation methods for matrix inversion      65ff.
Phase error      831
Phase-locked loop      700
Phi statistic      625
Phillips — Twomey method      799ff.
Pi, computation of      906ff. 1352ff. 1357f.
Piecewise parabolic method (PPM)      837
Pincherle’s theorem      175
Pivot element      29 33 757
Pivot element in linear programming      428f.
Pivoting      27 29ff. 46 66 90 1014
Pivoting and QR decomposition      92
Pivoting as row and column operations      32
Pivoting for tridiagonal systems      43
Pivoting full      29 1014
Pivoting implicit      30 38 1014 1017
Pivoting in LU decomposition      37f. 1017
Pivoting in reduction to Hessenberg form      478
Pivoting in relaxation method      757
Pivoting partial      29 33 37f. 1017
Pixel      519 596 803 811
PL/1      2/x
Planck’s constant      842
Plane rotation      see “Givens reduction”; Jacobi transformation (or rotation)”
Platykurtic distribution      606
Plotting of functions      342 1182f.
POCS (projection onto convex sets)      805
Poetry      5f.
Pointer (Fortran 90)      2/xiiif 938f. 944f. 953ff. 1197 1212 1266
Pointer (Fortran 90)allocating an array      941
Pointer (Fortran 90)allocating storage for derived type      955
Pointer (Fortran 90)array of, forbidden      956 1337
Pointer (Fortran 90)as alias      939 944f. 1286 1333
Pointer (Fortran 90)associated with target      938f. 944f. 952f. 1197
Pointer (Fortran 90)for array of arrays      956 1336
Pointer (Fortran 90)in Fortran      95 961
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)to function, forbidden      1067 1210
Pointer (Fortran 90)undefined status      952f. 961 1070 1266 1302
Poisson equation      519 818 852
Poisson probability function cumulative      214
Poisson probability function deviates from      281 283ff. 571 1154
Poisson probability function semi-invariants of      608
Poisson probability function tails compared to Gaussian      653
Poisson process      278 282ff. 1153
Polak — Ribiere algorithm      390 414ff. 1214
Poles      see “Complex plane poles
Polishing of roots      356 363ff. 370f. 1193
poly() utility function      973 977 989 998 1072 1096 1192 1258 1284
Polymorphism      8
Polynomial interpolation      99 102ff. 1043
Polynomial interpolation Aitken’s algorithm      102
Polynomial interpolation coefficients for      113ff. 1047f.
Polynomial interpolation in Bulirsch — Stoer method      724 726 1305
Polynomial interpolation in predictor — corrector method      740
Polynomial interpolation Lagrange’s formula      84 102f.
Polynomial interpolation multidimensional      116ff. 1049ff.
Polynomial interpolation Neville’s algorithm      102f. 105 134 182 1043
Polynomial interpolation pathology in determining coefficients for      116

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