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

Burg’ LP algorithm      561 1256
BYTE      18
C programming language)      13 2/viii
C programming language) nd case construct      1010
C programming language) Numerical Recipes in      1 2/x 2/xvii
C++      1/xiv 2/viii 2/xvi 7f.
C++ class templates      1083 1106
Calendar algorithms      1f. 13ff. 1010ff.
Calibration      653
Capital letters in programs      3 937
Cards, sorting a hand of      321
Carlson’s elliptic integrals      255f. 1128ff.
case construct      2/xiv 1010
case construct trapping errors      1036
Cash — Karp parameters      710 1299f.
Cauchy probability distribution      see “Lorentzian probability distribution”
Cauchy problem for partial differential equations      818f.
Cayley’s representation of exp(—iHt)      844
CCITT (Comite Consultatif International Telegraphique et Telephonique)      889f. 901
CCITT polynomial      889f.
ceiling() intrinsic function      947
Center of mass      295ff.
Central limit theorem      652f.
Central tendency, measures of      604ff. 1269
Change of variable in integration      137ff. 788 1056ff.
Change of variable in Monte Carlo integration      298
Change of variable in probability distribution      279
Character functions      952
Character variables, in Fortran 90      1183
Characteristic polynomial digital filter      554
Characteristic polynomial eigensystems      449 469
Characteristic polynomial linear prediction      559
Characteristic polynomial matrix with a specified      368 1193
Characteristic polynomial of recurrence relation      175
Characteristics of partial differential equations      818
Chebyshev acceleration in successive overrelaxation (SOR)      859f. 1332
Chebyshev approximation      84 124 183 184ff. 1076ff.
Chebyshev approximation and fast cosine transform      513
Chebyshev approximation Clenshaw — Curtis quadrature      190
Chebyshev approximation Clenshaw’s recurrence formula      187 1076
Chebyshev approximation coefficients for      185f. 1076
Chebyshev approximation contrasted with Pade approximation      195
Chebyshev approximation derivative of approximated function      183 189 1077f.
Chebyshev approximation economization of series      192f. 195 1080
Chebyshev approximation even function      188
Chebyshev approximation for error function      214 1095
Chebyshev approximation gamma functions      236 1118
Chebyshev approximation integral of approximated function      189 1078
Chebyshev approximation odd function      188
Chebyshev approximation polynomial fits derived from      191 1078
Chebyshev approximation rational function      197ff. 1081f.
Chebyshev approximation Remes exchange algorithm for filter      553
Chebyshev polynomials      184ff. 1076ff.
Chebyshev polynomials continuous orthonormality      184
Chebyshev polynomials discrete orthonormality      185
Chebyshev polynomials explicit formulas for      184
Chebyshev polynomials formula for in terms of      193 1080
Check digit      894 1345f.
Checksum      881 888
Checksum cyclic redundancy (CRC)      888ff. 1344f.
Cherry, sundae without a      809
Chi-by-eye      651
Chi-square fitting      see “Fitting”; “Least squares fitting”
Chi-square probability function      209ff. 215 615 654 798 1272
Chi-square probability function as boundary of confidence region      688f.
Chi-square probability function related to incomplete gamma function      215
Chi-square test      614f.
Chi-square test and confidence limit estimation      688f.
Chi-square test chi-by-eye      651
Chi-square test degrees of freedom      615f.
Chi-square test for binned data      614f. 1272
Chi-square test for contingency table      623ff. 1275
Chi-square test for inverse problems      797
Chi-square test for straight line fitting      655ff. 1285
Chi-square test for straight line fitting, errors in both coordinates      660 1286ff.
Chi-square test for two binned data sets      616 1272
Chi-square test least squares fitting      653ff. 1285
Chi-square test nonlinear models      675ff. 1292
Chi-square test rule of thumb      655
Chi-square test unequal size samples      617
Chip rate      290
Chirp signal      556
Cholesky decomposition      89f. 423 455 1038
Cholesky decomposition backsubstitution      90 1039
Cholesky decomposition operation count      90
Cholesky decomposition pivoting      90
Cholesky decomposition solution of normal equations      668
Circulant      585
Class, data type      7
Clenshaw — Curtis quadrature      124 190 512f.
Clenshaw’s recurrence formula      176f. 191 1078
Clenshaw’s recurrence formula for Chebyshev polynomials      187 1076
Clenshaw’s recurrence formula stability      176f.
Clocking errors      891
CM computers (Thinking Machines Inc.)      964
CM Fortran      2/xv
Co-processor, floating point      886
Coarse-grid correction      864f.
Coarse-to-fine operator      864 1337
Coding arithmetic      902ff. 1349ff.
Coding checksums      888 1344
Coding decoding a Huffman-encoded message      900 1349
Coding Huffman      896f. 1346ff.
Coding run-length      901
Coding variable length code      896 1346ff.
Coding Ziv — Lempel      896 (see also “Arithmetic coding”; “Huffman coding”)
Coefficients binomial      208 1087f.
Coefficients for Gaussian quadrature      140ff. 1059ff.
Coefficients for Gaussian quadrature, nonclassical weight function      151ff. 788f. 1064
Coefficients for quadrature formulas      125ff. 789 1328
Cohen, Malcolm      2/xiv
Column degeneracy      22
Column operations on matrix      29 31f.
Column totals      624
Combinatorial minimization      see “Annealing”
Comite Consultatif International Telegraphique et Telephonique (CCITT)      889f. 901
Common block obsolescent      2/xif.
Common block superseded by internal subprogram      957 1067
Common block superseded by module      940 953 1298 1320 1322 1324 1330
communication bottleneck      969
Communication costs, in parallel processing      969 981 1250
Communication theory, use in adaptive integration      721
Communications protocol      888
Comparison function for rejection method      281
Compilers      964 1364
Compilers CM Fortran      968
Compilers DEC (Digital Equipment Corp.)      2/viii
Compilers for parallel supercomputers      2/viii
Compilers IBM (International Business Machines)      2/viii
Compilers Microsoft Fortran PowerStation      2/viii
Compilers NAG (Numerical Algorithms Group)      2/viii 2/xiv
Complementary error function      1094f.; see “Error function”
Complete elliptic integral      see “Elliptic integrals”
Complex arithmetic      17If.
Complex arithmetic avoidance of in path integration      203
Complex arithmetic cubic equations      179f.
Complex arithmetic for linear equations      41
Complex arithmetic quadratic equations      178
Complex error function      252
Complex plane fractal structure for Newton’s rule      360f.
Complex plane path integration for function evaluation      201ff. 263 1138
Complex plane poles in      105 160 202f. 206 554 566 718f.
Complex systems of linear equations      41f.
Compression of data      596f.
Concordant pair for Kendall’s tau      637 1281
Condition number      53 78
Confidence level      687 691ff.
Confidence limits and chi-square      688f.
Confidence limits bootstrap method      687f.
Confidence limits by Monte Carlo simulation      684ff.

Confidence limits confidence region, confidence interval      687
Confidence limits from singular value decomposition (SVD)      693f.
Confidence limits on estimated model parameters      684ff.
Confluent hypergeometric function      204 239
Conformable arrays      942f. 1094
Conjugate directions      408f. 414ff. 1210
Conjugate gradient method and wavelets      599
Conjugate gradient method biconjugate      77 1034
Conjugate gradient method compared to variable metric method      418
Conjugate gradient method elliptic partial differential equations      824
Conjugate gradient method for minimization      390 413ff. 804 815 1210 1214
Conjugate gradient method for sparse system      77ff. 599 1034
Conjugate gradient method minimum residual method      78
Conjugate gradient method preconditioner      78f. 1037
Conservative differential equations      726 1307
Constrained linear inversion method      799ff.
Constrained linear optimization      see “Linear programming”
Constrained optimization      387
Constraints, deterministic      804ff.
Constraints, linear      423
CONTAINS statement      954 957 1067 1134 1202
Contingency coefficient C      625 1275
Contingency table      622ff. 638 1275f.
Contingency table statistics based on chi-square      623ff. 1275
Contingency table statistics based on entropy      626ff. 1275f.
Continued fraction      163ff.
Continued fraction and recurrence relation      175
Continued fraction Continued fraction Bessel functions      234
Continued fraction convergence criterion      165
Continued fraction equivalence transformation      166
Continued fraction evaluation      163ff.
Continued fraction evaluation along with normalization condition      240
Continued fraction even and odd parts      166 211 216
Continued fraction even part      249 251
Continued fraction exponential integral      216
Continued fraction Fresnel integral      248f.
Continued fraction incomplete beta function      219f. 1099f.
Continued fraction incomplete gamma function      211 1092f.
Continued fraction Lentz’s method      165 212
Continued fraction modified Lentz’s method      165
Continued fraction Pincherle’s theorem      175
Continued fraction ratio of Bessel functions      239
Continued fraction rational function approximation      164 211 219f.
Continued fraction recurrence for evaluating      164f.
Continued fraction sine and cosine integrals      250f.
Continued fraction Steed’s method      164f.
Continued fraction tangent function      164
Continued fraction typography for      163
Continuous variable (statistics)      623
Control structures      7ff. 2/xiv
Control structures bad      15
Control structures named      959 1219 1305
Convergence accelerated, for series      160ff. 1070
Convergence and spectral radius      856ff. 862
Convergence criteria for      347 392 404 483 488 679 759
Convergence eigenvalues accelerated by shifting      470f.
Convergence golden ratio      349 399
Convergence linear      346 393
Convergence of algorithm for pi      906
Convergence of golden section search      392f.
Convergence of Levenberg — Marquardt method      679
Convergence of QL method      470f.
Convergence of Ridders’ method      351
Convergence quadratic      49 351 356 409f. 419 906
Convergence rate      346f. 353 356
Convergence recurrence relation      175
Convergence series vs. continued fraction      163f.
Conversion intrinsic functions      946f.
Convex sets, use in inverse problems      804
Convolution and polynomial interpolation      113
Convolution denoted by asterisk      492
Convolution finite impulse response (FIR)      531
Convolution for multiple precision arithmetic      909 1354
Convolution multiplication as      909 1354
Convolution necessity for optimal filtering      535
Convolution of functions      492 503f.
Convolution of large data sets      536f.
Convolution overlap-add method      537
Convolution overlap-save method      536f.
Convolution relation to wavelet transform      585
Convolution theorem      492 531ff. 546
Convolution theorem, discrete      531ff.
Convolution treatment of end effects      533
Convolution use of FFT      523 531ff. 1253
Convolution wraparound problem      533
Cooley — Tukey FFT algorithm      503 1250
Cooley — Tukey FFT algorithm parallel version      1239f.
Copyright rules      1/xx 2/xix
Cornwell — Evans algorithm      816
Corporate promotion ladder      328
Corrected two — pass algorithm      607 1269
Correction, in multigrid method      863
Correlation coefficient (linear)      630ff. 1276
Correlation function      492
Correlation function and Fourier transforms      492
Correlation function autocorrelation      492 539 558
Correlation function theorem      492 538
Correlation function treatment of end effects      538f.
Correlation function using FFT      538f. 1254
Correlation function Wiener — Khinchin theorem      492 566f.
Correlation, statistical      603f. 622
Correlation, statistical among parameters in a fit      657 667 670
Correlation, statistical in random number generators      268
Correlation, statistical Kendall’s tau      634 637ff. 1279
Correlation, statistical linear correlation coefficient      630ff. 658 1276
Correlation, statistical linear related to least square fitting      630 658
Correlation, statistical nonparametric or rank statistical      633ff. 1277
Correlation, statistical Spearman rank-order coefficient      634f. 1277
Correlation, statistical sum squared difference of ranks      634 1277
Cosine function, recurrence      172
Cosine integral      248 250ff. 1125f.
Cosine integral continued fraction      250
Cosine integral routine for      25If. 1125
Cosine integral series      250
Cosine transform      see “Fast Fourier transform (FFT)”; “Fourier transform”
Coulomb wave function      204 234
count() intrinsic function      948
Courant condition      829 832ff. 836
Courant condition multidimensional      846
Courant — Friedrichs — Lewy stability criterion      see “Courant condition”
Covariance a priori      700
Covariance from singular value decomposition (SVD)      693f.
Covariance in general linear least squares      667 671 1288ff.
Covariance in nonlinear models      679 681 1292
Covariance in straight line fitting      657
Covariance matrix, by Cholesky decomposition      91 667
Covariance matrix, is inverse of Hessian matrix      679
Covariance matrix, of errors      796 808
Covariance matrix, when it is meaningful      690ff.
Covariance relation to chi-square      690ff.
cpu_time() intrinsic function (Fortran 95)      961
CR method      see “Cyclic reduction (CR)”
Cramer’s V      625 1275
Crank — Nicholson method      840 844 846
Cray computers      964
CRC (Cyclic Redundancy Check)      888ff. 1344f.
CRC-12      890
CRC-16 polynomial      890
CRC-CITT      890
Creativity, essay on      9
Critical (Nyquist) sampling      494 543
Cross (denotes matrix outer product)      66
Crosstabulation analysis      623 (see also “Contingency table”)
Crout’s algorithm      36ff. 45 1017
cshift() intrinsic function      950
cshift() intrinsic function communication bottleneck      969
Cubic equations      178ff. 360
Cubic spline interpolation      107ff. 1044f.(see
cumprod() utility function      974 988 997 1072 1086
cumsum() utility function      974 989 997 1280 1305

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