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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
Roundoff error, linear algebraic equations      23 27 29 47 56 84 1022
Roundoff error, linear algebraic equations      23 27 29 47 56 84 1022
Roundoff error, linear predictive coding (LPC)      564
Roundoff error, linear predictive coding (LPC)      564
Roundoff error, magnification of      20 47 1022
Roundoff error, magnification of      20 47 1022
Roundoff error, maximum entropy method (MEM)      567
Roundoff error, maximum entropy method (MEM)      567
Roundoff error, measuring      881f. 1343
Roundoff error, measuring      881f. 1343
Roundoff error, multidimensional minimization      418 422
Roundoff error, multidimensional minimization      418 422
Roundoff error, multiple roots      362
Roundoff error, multiple roots      362
Roundoff error, numerical derivatives      180f.
Roundoff error, numerical derivatives      180f.
Roundoff error, recurrence relations      173
Roundoff error, recurrence relations      173
Roundoff error, reduction to Hessenberg form      479
Roundoff error, reduction to Hessenberg form      479
Roundoff error, series      164f.
Roundoff error, series      164f.
Roundoff error, straight line fitting      658
Roundoff error, straight line fitting      658
Roundoff error, variance      607
Roundoff error, variance      607
Row degeneracy      22
Row operations on matrix      28 31f.
Row operations on matrix      28 31f.
Row totals      624
Row totals      624
Row-indexed sparse storage      71f. 1030
Row-indexed sparse storage      71f. 1030
Row-indexed sparse storage, transpose      73f.
Row-indexed sparse storage, transpose      73f.
RSS algorithm      314ff. 1164
RSS algorithm      314ff. 1164
RST properties (reflexive, symmetric, transitive)      338
RST properties (reflexive, symmetric, transitive)      338
Run-length encoding      901
Run-length encoding      901
Runge — Kutta method      702 704ff. 731 740 1297ff. 1308
Runge — Kutta method      702 704ff. 731 740 1297ff. 1308
Runge — Kutta method, Cash — Karp parameters      710 1299f.
Runge — Kutta method, Cash — Karp parameters      710 1299f.
Runge — Kutta method, embedded      709f. 731 1298 1308
Runge — Kutta method, embedded      709f. 731 1298 1308
Runge — Kutta method, high-order      705 1297
Runge — Kutta method, high-order      705 1297
Runge — Kutta method, quality control      722
Runge — Kutta method, quality control      722
Runge — Kutta method, stepsize control      708ff. 1298f.
Runge — Kutta method, stepsize control      708ff. 1298f.
Rybicki, G.B.      84ff. 114 145 252 522 574 600
Rybicki, G.B.      84ff. 114 145 252 522 574 600
S-box for Data Encryption Standard      1148
S-box for Data Encryption Standard      1148
Sampling theorem      495 543
Sampling theorem      495 543
Sampling theorem, for numerical approximation      600ff.
Sampling theorem, for numerical approximation      600ff.
Sampling, importance      306f.
Sampling, importance      306f.
Sampling, Latin square or hypercube      305f.
Sampling, Latin square or hypercube      305f.
Sampling, recursive stratified      314ff. 1164
Sampling, recursive stratified      314ff. 1164
Sampling, stratified      308f.
Sampling, stratified      308f.
Sampling, uneven or irregular      569 648f. 1258
Sampling, uneven or irregular      569 648f. 1258
Sande — Tukey FFT algorithm      503
Sande — Tukey FFT algorithm      503
SAVE attribute      953f. 958f. 961 1052 1070 1266 1293
SAVE attribute      953f. 958f. 961 1052 1070 1266 1293
SAVE attribute, redundant use of      958f.
SAVE attribute, redundant use of      958f.
SAVE statements      3
SAVE statements      3
Savitzky — Golay filters for data smoothing      644ff. 1283f.
Savitzky — Golay filters for data smoothing      644ff. 1283f.
Savitzky — Golay filters for numerical derivatives      183 645
Savitzky — Golay filters for numerical derivatives      183 645
scale()intrinsic function      1107
scale()intrinsic function      1107
Scallop loss      548
Scallop loss      548
Scatter-with-combine functions      984 1002f. 1032 1366 1380f.
Scatter-with-combine functions      984 1002f. 1032 1366 1380f.
scatter_add() utility function      984 990 1002 1032
scatter_add() utility function      984 990 1002 1032
scatter_max() utility function      984 990 1003
scatter_max() utility function      984 990 1003
Schonfelder, Lawrie      2/xi
Schonfelder, Lawrie      2/xi
Schrage’s algorithm      269
Schrage’s algorithm      269
Schrodinger equation      842ff.
Schrodinger equation      842ff.
Schultz’s method for matrix inverse      49 598
Schultz’s method for matrix inverse      49 598
Scope      956ff. 1209 1293 1296
Scope      956ff. 1209 1293 1296
Scoping unit      939
Scoping unit      939
SDLC checksum      890
SDLC checksum      890
Searching an ordered table      110f. 1045f.
Searching an ordered table      110f. 1045f.
Searching selection      333 1177f.
Searching with correlated values      111 1046f.
Searching with correlated values      111 1046f.
Secant method      341 347ff. 358 364 399 1186f.
Secant method      341 347ff. 358 364 399 1186f.
Secant method, Broyden’s method      382f. 1199f.
Secant method, Broyden’s method      382f. 1199f.
Secant method, multidimensional (Broyden’s)      373 382f. 1199
Secant method, multidimensional (Broyden’s)      373 382f. 1199
Second Euler — Maclaurin summation formula      135f.
Second Euler — Maclaurin summation formula      135f.
Second order differential equations      726 1307
Second order differential equations      726 1307
Seed of random number generator      267 1146f.
Seed of random number generator      267 1146f.
select case statement      2/xiv 1010 1036
select case statement      2/xiv 1010 1036
Selection      320 333 1177f.
Selection      320 333 1177f.
Selection, by packing      1178
Selection, by packing      1178
Selection, by partition-exchange      333 1177f.
Selection, by partition-exchange      333 1177f.
Selection, find $m$ largest elements      336 1179f.
Selection, find $m$ largest elements      336 1179f.
Selection, for median      698 1294
Selection, for median      698 1294
Selection, heap algorithm      336 1179
Selection, heap algorithm      336 1179
Selection, operation count      333
Selection, operation count      333
Selection, parallel algorithms      1178
Selection, parallel algorithms      1178
Selection, timings      336
Selection, timings      336
Selection, use to find median      609
Selection, use to find median      609
Selection, without rearrangement      335 1178f.
Selection, without rearrangement      335 1178f.
Semi-implicit Euler method      730 735f.
Semi-implicit extrapolation method      730 735f. 1310f.
Semi-implicit extrapolation method      730 735f. 1310f.
Semi-implicit extrapolation method, compared with Rosenbrock method      739
Semi-implicit extrapolation method, compared with Rosenbrock method      739
Semi-implicit extrapolation method, stepsize control      737 13Ilf.
Semi-implicit extrapolation method, stepsize control      737 13Ilf.
Semi-implicit midpoint rule      735f. 1310f.
Semi-invariants of a distribution      608
Semi-invariants of a distribution      608
Sentinel, in Quicksort      324 333
Sentinel, in Quicksort      324 333
Separable kernel      785
Separable kernel      785
Separation of variables      246
Separation of variables      246
Serial computing, convergence of quadrature      1060
Serial computing, convergence of quadrature      1060
Serial computing, random numbers      1141
Serial computing, random numbers      1141
Serial computing, sorting      1167
Serial computing, sorting      1167
Serial data port      892
Serial data port      892
Series      159ff.
Series      159ff.
Series, accelerating convergence of      159ff.
Series, accelerating convergence of      159ff.
Series, alternating      160f. 1070
Series, alternating      160f. 1070
Series, asymptotic      161
Series, asymptotic      161
Series, Bessel function $K_{\nu}$      241
Series, Bessel function $K_{\nu}$      241
Series, Bessel function $Y_{\nu}$      235
Series, Bessel function $Y_{\nu}$      235
Series, Bessel functions      160 223
Series, Bessel functions      160 223
Series, cosine integral      250
Series, cosine integral      250
Series, divergent      161
Series, divergent      161
Series, economization      192f. 195 1080
Series, economization      192f. 195 1080
Series, Euler’s transformation      160f. 1070
Series, Euler’s transformation      160f. 1070
Series, exponential integral      216 218
Series, exponential integral      216 218
Series, Fresnel integral      248
Series, Fresnel integral      248
Series, hypergeometric      202 263 1138
Series, hypergeometric      202 263 1138
Series, incomplete beta function      219
Series, incomplete beta function      219
Series, incomplete gamma function      210 1090f.
Series, incomplete gamma function      210 1090f.
Series, Laurent      566
Series, Laurent      566
Series, relation to continued fractions      163f.
Series, relation to continued fractions      163f.
Series, roundoff error in      164f.
Series, roundoff error in      164f.
Series, sine and cosine integrals      250
Series, sine and cosine integrals      250
Series, sine function      160
Series, sine function      160
Series, Taylor      355f. 408 702 709 754 759
Series, Taylor      355f. 408 702 709 754 759
Series, transformation of      160ff. 1070
Series, transformation of      160ff. 1070
Series, van Wijngaarden’s algorithm      161 1070
Series, van Wijngaarden’s algorithm      161 1070
Shaft encoder      886
Shaft encoder      886
Shakespeare      9
Shakespeare      9
Shampine’s Rosenbrock parameters      732 1308
Shampine’s Rosenbrock parameters      732 1308
shape() intrinsic function      938 949
shape() intrinsic function      938 949
Shell algorithm (Shell’s sort)      321ff. 1168
Sherman — Morrison formula      65ff. 83 382
Shifting of eigenvalues      449 470f. 480
Shifting of eigenvalues      449 470f. 480
Shock wave      831 837
Shock wave      831 837
Shooting method, computation of spheroidal harmonics      772 1321ff.
Shooting method, computation of spheroidal harmonics      772 1321ff.
Shooting method, example      770ff. 1321ff.
Shooting method, example      770ff. 1321ff.
Shooting method, for differential equations      746 749ff. 770ff. 1314ff. 1321ff.
Shooting method, for differential equations      746 749ff. 770ff. 1314ff. 1321ff.
Shooting method, for difficult cases      753 1315f.
Shooting method, for difficult cases      753 1315f.
Shooting method, interior fitting point      752 1315f. 1323ff.
Shooting method, interior fitting point      752 1315f. 1323ff.
Shuffling to improve random number generator      270 272
Shuffling to improve random number generator      270 272
Side effects, and PURE subprograms      960
Side effects, and PURE subprograms      960
Side effects, prevented by data hiding      957 1209 1293 1296
Side effects, prevented by data hiding      957 1209 1293 1296
Sidelobe fall-off      548
Sidelobe fall-off      548
Sidelobe level      548
Sidelobe level      548
sign()intrinsic function, modified in Fortran 95      961
sign()intrinsic function, modified in Fortran 95      961
Signal, bandwidth limited      495
Signal, bandwidth limited      495
Significance (numerical)      19
Significance (numerical)      19
Significance (statistical)      609f.
Significance (statistical)      609f.
Significance (statistical), of 2-d K-S test      640
Significance (statistical), of 2-d K-S test      640
Significance (statistical), one- vs. two-sided      632
Significance (statistical), one- vs. two-sided      632
Significance (statistical), peak in Lomb periodogram      570
Significance (statistical), peak in Lomb periodogram      570
Significance (statistical), two-tailed      613
Significance (statistical), two-tailed      613
SIMD machines (Single Instruction Multiple Data)      964 985f. 1009 1084f.
SIMD machines (Single Instruction Multiple Data)      964 985f. 1009 1084f.
Similarity transform      452ff. 456 476 478 482
Similarity transform      452ff. 456 476 478 482
Simplex, defined      402
Simplex, defined      402
Simplex, method in linear programming      389 402 423ff. 431f. 1216ff.
Simplex, method in linear programming      389 402 423ff. 431f. 1216ff.
Simplex, method of Nelder and Mead      389 402ff. 444 697f. 1208f. 1222ff.
Simplex, method of Nelder and Mead      389 402ff. 444 697f. 1208f. 1222ff.
Simplex, use in simulated annealing      444 1222ff.
Simplex, use in simulated annealing      444 1222ff.
Simpson’s rule      124ff. 128 133 136f. 583 782 788f. 1053f.
Simpson’s three-eighths rule      126 789f.
Simpson’s three-eighths rule      126 789f.
Simulated annealing      see Annealing method
Simulated annealing      see Annealing method
Simulation      see Monte Carlo
Simulation      see Monte Carlo
Sine function, evaluated from tan ($\theta$/2)      173
Sine function, evaluated from tan ($\theta$/2)      173
Sine function, evaluated from tan ($\theta$/2), recurrence      172
Sine function, evaluated from tan ($\theta$/2), recurrence      172
Sine function, evaluated from tan ($\theta$/2), series      160
Sine function, evaluated from tan ($\theta$/2), series      160
Sine integral      248 250ff. 1123 1125f.
Sine integral      248 250ff. 1123 1125f.
Sine integral, continued fraction      250
Sine integral, continued fraction      250
Sine integral, series      250 (see also Cosine integral)
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
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