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| Press W.H., Teukolsky S.A., Vetterling W.T. — Numerical recipes in FORTRAN77 |
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| Предметный указатель |
Transpose of sparse matrix 73f.
transpose() intrinsic function 950 960 969 981 1050 1246
Trapezoidal rule 125 127 130ff. 134f. 579 583 782 786 1052 1326f.
Traveling salesman problem 438ff. 1219ff.
Tridiagonal matrix 42 63 150 453f. 488 839f. 1018f.
Tridiagonal matrix cyclic 67 1030
Tridiagonal matrix eigenvalues 469ff. 1228
Tridiagonal matrix from cubic spline 109
Tridiagonal matrix from operator splitting 861f.
Tridiagonal matrix in alternating — direction implicit method (ADI) 861f.
Tridiagonal matrix in cyclic reduction 853
Tridiagonal matrix parallel algorithm 975 1018 1229f.
Tridiagonal matrix recursive splitting 1229f.
Tridiagonal matrix reduction of symmetric matrix to 462ff. 470 1227f.
Tridiagonal matrix serial algorithm 1018f. (see also “Matrix”)
Tridiagonal matrix with fringes 822
Trigonometric functions, linear sequences 173
Trigonometric functions, recurrence relation 172 572
Trigonometric functions, tan  as minimal 173
Trigonometric interpolation 99
Trigonometric solution of cubic equation 179f.
Truncation error 20f. 399 709 881 1362
Truncation error in multigrid method 875
Truncation error in numerical derivatives 180
Tukey’s biweight 697
Tukey’s trimean 694
Turbo Pascal (Borland) 8
Twin errors 895
Two-dimensional see “Multidimensional”
Two-dimensional K-S test 640 1281ff.
Two-pass algorithm for variance 607 1269
Two-point boundary value problems 702 745ff. 1314ff.
Two-point boundary value problems relaxation method 746f. 753ff. 1316ff.
Two-point boundary value problems relaxation method, example of 764ff. 1319
Two-point boundary value problems shooting method 746 749ff. 770ff. 1314ff. 1321ff.
Two-point boundary value problems shooting method, example of 770ff. 1321ff.
Two-point boundary value problems shooting to a fitting point 751ff. 1315f. 1323ff.
Two-point boundary value problems singular endpoints 751 764 771 1315f. 1319ff.
Two-point boundary value problems, automated allocation of mesh points 774f. 777
Two-point boundary value problems, boundary conditions 745ff. 749 751f. 771 1314ff.
Two-point boundary value problems, difficult cases 753 1315f.
Two-point boundary value problems, eigenvalue problem for differential equations 748 764ff. 770ff. 1319ff.
Two-point boundary value problems, free boundary problem 748 776
Two-point boundary value problems, grid (mesh) points 746f. 754 774f. 777
Two-point boundary value problems, internal boundary conditions 775ff.
Two-point boundary value problems, internal singular points 775ff.
Two-point boundary value problems, linear requires no iteration 751
Two-point boundary value problems, multiple shooting 753
Two-point boundary value problems, problems reducible to standard form 748
Two-point boundary value problems, regularity condition 775
Two-sided exponential error distribution 696
Two-sided power spectral density 493
Two-step Lax — Wendroff method 835ff.
Two-volume edition, plan of 1/xiii
Two’s complement arithmetic 1144
Type declarations, explicit vs. implicit 2
U bound() intrinsic function 949
U.S. Postal Service barcode 894
ULTRIX 1/xxiii 2/xix
Uncertainty coefficient 628
Uncertainty principle 600
Undefined status, of arrays and pointers 952f. 961 1070 1266 1293 1302
Underflow, in IEEE arithmetic 883 1343
Underrelaxation 857
Uniform deviates see “Random deviates uniform”
Unitary (function) 843f.
Unitary (matrix) see “Matrix”
unit_matrix() utility function 985 990 1006 1216 1226 1325
UNIX 1/xxiii 2/viii 2/xix 4 17 276 293 886
unpack() intrinsic function 950 964
Upper Hessenberg matrix see «Hessenberg matrix
Upper subscript 944
upper_triangle() utility function 990 1006 1226 1305
Upwind differencing 832f. 837
USE statement 936 939f. 954 957 1067 1384
USES keyword in program listings 2
Utility functions 987ff. 1364ff.
Utility functions add vector to matrix diagonal 1004 1234 1366 1381
Utility functions alphabetical listing 988ff.
Utility functions argument checking 994f. 1370f.
Utility functions arithmetic progression 996 1072 1127 1365 1371f.
Utility functions array reallocation 992 1070f. 1365 1368f.
Utility functions assertion of numerical equality 995 1022 1365 1370f.
Utility functions compared to intrinsics 990ff.
Utility functions complex nth root of unity 999f. 1379
Utility functions copying arrays 991 1034 1327f. 1365f.
Utility functions create unit matrix 1006 1382
Utility functions cumulative product of an array 997f. 1072 1086 1375
Utility functions cumulative sum of an array 997 1280f. 1365 1375
Utility functions data types 1361
Utility functions elemental functions 1364
Utility functions error handling 994f. 1036 1370f.
Utility functions generic functions 1364
Utility functions geometric progression 996f. 1365 1372ff.
Utility functions get diagonal of matrix 1005 1226f. 1366 1381f.
Utility functions length of a vector 1008 1383
Utility functions linear recurrence 996
Utility functions location in an array 992ff. 1015 1017ff.
Utility functions location of first logical “true” 993 1041 1369
Utility functions location of maximum array value 993 1015 1017 1365 1369
Utility functions location of minimum array value 993 1369f.
Utility functions logical assertion 994 1086 1090 1092 1365 1370
Utility functions lower triangular mask 1007 1200 1382
Utility functions masked polynomial evaluation 1378
Utility functions masked swap of elements in two arrays 1368
Utility functions moving data 990ff. 1015
Utility functions multiply vector into matrix diagonal 1004f. 1366 1381
Utility functions nrutil.f90(module file) 1364ff.
Utility functions outer difference of vectors 1001 1366 1380
Utility functions outer logical and of vectors 1002
Utility functions outer operations on vectors 1000ff. 1379f.
Utility functions outer product of vectors 1000f. 1076 1365f. 1379
Utility functions outer quotient of vectors 1001 1379
Utility functions outer sum of vectors 1001 1379f.
Utility functions overloading 1364
Utility functions partial cumulants of a polynomial 999 1071 1192f. 1365 1378f.
Utility functions polynomial evaluation 996 998f. 1258 1365 1376ff.
Utility functions scatter-with-add 1002f. 1032f. 1366 1380f.
Utility functions scatter-with-combine 1002f. 1032f. 1380f.
Utility functions scatter-with-max 1003f. 1366 1381
Utility functions set diagonal elements of matrix 1005 1200 1366 1382
Utility functions skew operation on matrices 1004ff. 1381ff.
Utility functions swap elements of two arrays 991 1015 1365ff.
Utility functions upper triangular mask 1006 1226 1305 1382
V-cycle 865 1336
vabs() utility function 990 1008 1290
Validation of Numerical Recipes procedures 3f.
Valley, long or narrow 403 407 410
| Van Cittert’s method 804
Van Wijngaarden — Dekker — Brent method see “Brent’s method”
Vandermonde matrix 82ff. 114 1037 1047
Variable length code 896 1346ff.
Variable metric method 390 418ff. 1215
Variable metric method compared to conjugate gradient method 418
Variable step — size integration 123 135 703 707ff. 720 726 731 737 742ff. 1298ff. 1303 1308f. 131Iff.
Variance correlation 605
Variance of distribution 603ff. 608 611 613 1269
Variance pooled 610
Variance reduction of (in Monte Carlo) 299 306ff.
Variance statistical differences between two 609 1271
Variance two-pass algorithm for computing 607 1269
Variational methods, partial differential equations 824
VAX 275 293
Vector length 1008 1383
Vector outer difference 1001 1366 1380
Vector outer operations 1000ff. 1379f.
Vector outer product 1000f. 1076 1365f. 1379
Vector reduction 972 977 998
Vector subscripts 2/xiif. 984 1002 1032 1034
Vector subscripts communication bottleneck 969 981 1250
Vectors norms 1036
VEGAS algorithm for Monte Carlo 309ff. 1161
Verhoeff’s algorithm for checksums 894f. 1345
Vienna Fortran 2/xv
Viete’s formulas for cubic roots 179
Virus, computer 889
Viscosity artificial 831 837
Viscosity numerical 830f. 837
Visibility 956ff. 1209 1293 1296
vms 1/xxii 2/xix
Volterra equations 780f. 1326
Volterra equations, adaptive stepsize control 788
Volterra equations, analogy with ODEs 786
Volterra equations, block-by-block method 788
Volterra equations, first kind 781 786
Volterra equations, nonlinear 781 787
Volterra equations, second kind 781 786ff. 1326f.
Volterra equations, unstable quadrature 787f.
von Neuman, John 963 965
von Neumann stability analysis for PDEs 827f. 830 833f. 840
von Neumann — Richtmyer artificial viscosity 837
Vowellish (coding example) 896f. 902
W-cycle 865 1336
Warranty, disclaimer of 1/xx 2/xvii
Wave equation 246 818 825f.
Wavelet transform 584ff. 1264ff.
Wavelet transform and Fourier domain 592f.
Wavelet transform appearance of wavelets 590ff.
Wavelet transform approximation condition of order p 585
Wavelet transform coefficient values 586 589 1265
Wavelet transform contrasted with Fourier transform 584 594
Wavelet transform Daubechies wavelet filter coefficients 584ff. 588 590f. 594 598 1264ff.
Wavelet transform detail information 585
Wavelet transform DWT (discrete wavelet transform) 586f. 1264ff.
Wavelet transform eliminating wrap — around 587
Wavelet transform fast solution of linear equations 597ff.
Wavelet transform filters 592f.
Wavelet transform for integral equations 782
Wavelet transform image processing 596f.
Wavelet transform inverse 587
Wavelet transform Lemarie’s wavelet 593
Wavelet transform mother functions 584
Wavelet transform mother — function coefficient 587
Wavelet transform multidimensional 595 1267f.
Wavelet transform nonsmoothness of wavelets 591
Wavelet transform of linear operator 597ff.
Wavelet transform pyramidal algorithm 586 1264
Wavelet transform quadrature mirror filter 585
Wavelet transform smooth information 585
Wavelet transform truncation 594f.
Wavelet transform wavelet filter coefficient 584 587
Wavelet transform wavelets 584 590ff.
Wavelets see “Wavelet transform”
Weber function 204
Weighted Kolmogorov — Smirnov test 621
Weighted least — squares fitting see “Least squares fitting”
Weighting, full vs. half in multigrid 867
Weights for Gaussian quadrature 140ff. 788f. 1059ff. 1328f.
Weights for Gaussian quadrature nonclassical weight function 151ff. 788f. 1064f. 1328f.
Welch window 547 1254ff.
WG5 (ISO/IEC JTC1/SC22/WG5 Committee) 2/xiff.
where construct 943 1291
where construct contrasted with merge 1023
where construct for iteration of a vector 1060
where construct nested 2/xv 943 960 1100
where construct notMIMD 985
While iteration 13
Wiener filtering 535 539ff. 558 644
Wiener filtering compared to regularization 801
Wiener — Khinchin theorem 492 558 566f.
Wilcoxon test 694
Window function Bartlett 547 1254ff.
Window function flat-topped 549
Window function Hamming 547
Window function Hann 547
Window function Parzen 547
Window function square 544 546 1254ff.
Window function Welch 547 1254ff.
Windowing for spectral estimation 1255f.
Windows 95 2/xix
Windows NT 2/xix
Winograd Fourier transform algorithms 503
Woodbury formula 68ff. 83
Wordlength 18
Workspace, reallocation in Fortran 90 1070f.
World Wide Web, Numerical Recipes site 1/xx 2/xvii
Wraparound in integer arithmetic 1146 1148
Wraparound order for storing spectrum 501
Wraparound problem in convolution 533
Wronskian, of Bessel functions 234 239
X-ray diffraction pattern, processing of 805
X.25protocol 890
X3J3Committee 2/viii 2/xff 2/xv 947 959 964 968 990
XMODEM checksum 889
Y ale Sparse Matrix Package 64 71
z-transform 554 559 565
Z-transformation, Fisher’s 631f. 1276
Zaman, A. 1149
Zealots 814
Zebra relaxation 866
Zero contours 372
Zero-length array 944
Zeroth-order regularization 796ff.
Zip code, barcode for 894
Ziv-Lempel compression 896
zroots_unity() utility function 974 990 999
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