Äîêóìåíò âçÿò èç êýøà ïîèñêîâîé ìàøèíû. Àäðåñ îðèãèíàëüíîãî äîêóìåíòà : http://www.arcetri.astro.it/irlab/doc/library/nr/f21-1.pdf Äàòà èçìåíåíèÿ: Thu Oct 7 13:11:39 1999 Äàòà èíäåêñèðîâàíèÿ: Sat Dec 22 09:34:22 2007 Êîäèðîâêà: Ïîèñêîâûå ñëîâà: m 97

Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) Copyright (C) 1986-1992 by Cambridge University Press.Programs Copyright (C) 1986-1992 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any copying of machinereadable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America).

References
The references collected here are those of general usefulness, usually cited in more than one section of this book. More specialized sources, usually cited in a single section, are not repeated here. We first list a small number of books that form the nucleus of a recommended personal reference collection on numerical methods, numerical analysis, and closely related subjects. These are the books that we like to have within easy reach. Abramowitz, M., and Stegun, I.A. 1964, Handbook of Mathematical Functions, Applied Mathematics Series, Volume 55 (Washington: National Bureau of Standards; reprinted 1968 by Dover Publications, New York) Acton, F.S. 1970, Numerical Methods That Work; 1990, corrected edition (Washington: Mathematical Association of America) Ames, W.F. 1977, Numerical Methods for Partial Differential Equations, 2nd ed. (New York: Academic Press) Bratley, P., Fox, B.L., and Schrage, E.L. 1983, A Guide to Simulation (New York: Springer-Verlag) Dahlquist, G., and Bjorck, A. 1974, Numerical Methods (Englewood Cliffs, NJ: Prentice-Hall) Delves, L.M., and Mohamed, J.L. 1985, Computational Methods for Integral Equations (Cambridge, U.K.: Cambridge University Press) Dennis, J.E., and Schnabel, R.B. 1983, Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Englewood Cliffs, NJ: Prentice-Hall) Gill, P.E., Murray, W., and Wright, M.H. 1991, Numerical Linear Algebra and Optimization, vol. 1 (Redwood City, CA: Addison-Wesley) Golub, G.H., and Van Loan, C.F. 1989, Matrix Computations, 2nd ed. (Baltimore: Johns Hopkins University Press) Oppenheim, A.V., and Schafer, R.W. 1989, Discrete-Time Signal Processing (Englewood Cliffs, NJ: Prentice-Hall) Ralston, A., and Rabinowitz, P. 1978, A First Course in Numerical Analysis, 2nd ed. (New York: McGraw-Hill) Sedgewick, R. 1988, Algorithms, 2nd ed. (Reading, MA: Addison-Wesley) Stoer, J., and Bulirsch, R. 1980, Introduction to Numerical Analysis (New York: Springer-Verlag) Wilkinson, J.H., and Reinsch, C. 1971, Linear Algebra, vol. II of Handbook for Automatic Computation (New York: Springer-Verlag) 916


References

917

We next list the larger collection of books, which, in our view, should be included in any serious research library on computing, numerical methods, or analysis.
Bevington, P.R. 1969, Data Reduction and Error Analysis for the Physical Sciences (New York: McGraw-Hill) Bloomfield, P. 1976, Fourier Analysis of Time Series ­ An Introduction (New York: Wiley) Bowers, R.L., and Wilson, J.R. 1991, Numerical Modeling in Applied Physics and Astrophysics (Boston: Jones & Bartlett) Brent, R.P. 1973, Algorithms for Minimization without Derivatives (Englewood Cliffs, NJ: Prentice-Hall) Brigham, E.O. 1974, The Fast Fourier Transform (Englewood Cliffs, NJ: PrenticeHall) Brownlee, K.A. 1965, Statistical Theory and Methodology, 2nd ed. (New York: Wiley) Bunch, J.R., and Rose, D.J. (eds.) 1976, Sparse Matrix Computations (New York: Academic Press) Canuto, C., Hussaini, M.Y., Quarteroni, A., and Zang, T.A. 1988, Spectral Methods in Fluid Dynamics (New York: Springer-Verlag) Carnahan, B., Luther, H.A., and Wilkes, J.O. 1969, Applied Numerical Methods (New York: Wiley) Champeney, D.C. 1973, Fourier Transforms and Their Physical Applications (New York: Academic Press) Childers, D.G. (ed.) 1978, Modern Spectrum Analysis (New York: IEEE Press) Cooper, L., and Steinberg, D. 1970, Introduction to Methods of Optimization (Philadelphia: Saunders) Dantzig, G.B. 1963, Linear Programming and Extensions (Princeton, NJ: Princeton University Press) Devroye, L. 1986, Non-Uniform Random Variate Generation (New York: SpringerVerlag) Dongarra, J.J., et al. 1979, LINPACK User 's Guide (Philadelphia: S.I.A.M.) Downie, N.M., and Heath, R.W. 1965, Basic Statistical Methods, 2nd ed. (New York: Harper & Row) Duff, I.S., and Stewart, G.W. (eds.) 1979, Sparse Matrix Proceedings 1978 (Philadelphia: S.I.A.M.) Elliott, D.F., and Rao, K.R. 1982, Fast Transforms: Algorithms, Analyses, Applications (New York: Academic Press) Fike, C.T. 1968, Computer Evaluation of Mathematical Functions (Englewood Cliffs, NJ: Prentice-Hall) Forsythe, G.E., Malcolm, M.A., and Moler, C.B. 1977, Computer Methods for Mathematical Computations (Englewood Cliffs, NJ: Prentice-Hall) Forsythe, G.E., and Moler, C.B. 1967, Computer Solution of Linear Algebraic Systems (Englewood Cliffs, NJ: Prentice-Hall) Gass, S.T. 1969, Linear Programming, 3rd ed. (New York: McGraw-Hill) Gear, C.W. 1971, Numerical Initial Value Problems in Ordinary Differential Equations (Englewood Cliffs, NJ: Prentice-Hall) Goodwin, E.T. (ed.) 1961, Modern Computing Methods, 2nd ed. (New York: Philosophical Library) Gottlieb, D. and Orszag, S.A. 1977, Numerical Analysis of Spectral Methods: Theory and Applications (Philadelphia: S.I.A.M.) Hackbusch, W. 1985, Multi-Grid Methods and Applications (New York: SpringerVerlag)

Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) Copyright (C) 1986-1992 by Cambridge University Press.Programs Copyright (C) 1986-1992 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any copying of machinereadable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America).


918

References

Hamming, R.W. 1962, Numerical Methods for Engineers and Scientists; reprinted 1986 (New York: Dover) Hart, J.F., et al. 1968, Computer Approximations (New York: Wiley) Hastings, C. 1955, Approximations for Digital Computers (Princeton: Princeton University Press) Hildebrand, F.B. 1974, Introduction to Numerical Analysis, 2nd ed.; reprinted 1987 (New York: Dover) Hoel, P.G. 1971, Introduction to Mathematical Statistics, 4th ed. (New York: Wiley) Horn, R.A., and Johnson, C.R. 1985, Matrix Analysis (Cambridge: Cambridge University Press) Householder, A.S. 1970, The Numerical Treatment of a Single Nonlinear Equation (New York: McGraw-Hill) Huber, P.J. 1981, Robust Statistics (New York: Wiley) Isaacson, E., and Keller, H.B. 1966, Analysis of Numerical Methods (New York: Wiley) Jacobs, D.A.H. (ed.) 1977, The State of the Art in Numerical Analysis (London: Academic Press) Johnson, L.W., and Riess, R.D. 1982, Numerical Analysis, 2nd ed. (Reading, MA: Addison-Wesley) Kahaner, D., Moler, C., and Nash, S. 1989, Numerical Methods and Software (Englewood Cliffs, NJ: Prentice Hall) Keller, H.B. 1968, Numerical Methods for Two-Point Boundary-Value Problems (Waltham, MA: Blaisdell) Knuth, D.E. 1968, Fundamental Algorithms, vol. 1 of The Art of Computer Programming (Reading, MA: Addison-Wesley) Knuth, D.E. 1981, Seminumerical Algorithms, 2nd ed., vol. 2 of The Art of Computer Programming (Reading, MA: Addison-Wesley) Knuth, D.E. 1973, Sorting and Searching, vol. 3 of The Art of Computer Programming (Reading, MA: Addison-Wesley) Koonin, S.E., and Meredith, D.C. 1990, Computational Physics, Fortran Version (Redwood City, CA: Addison-Wesley) Kuenzi, H.P., Tzschach, H.G., and Zehnder, C.A. 1971, Numerical Methods of Mathematical Optimization (New York: Academic Press) Lanczos, C. 1956, Applied Analysis; reprinted 1988 (New York: Dover) Land, A.H., and Powell, S. 1973, Fortran Codes for Mathematical Programming (London: Wiley-Interscience) Lawson, C.L., and Hanson, R. 1974, Solving Least Squares Problems (Englewood Cliffs, NJ: Prentice-Hall) Lehmann, E.L. 1975, Nonparametrics: Statistical Methods Based on Ranks (San Francisco: Holden-Day) Luke, Y.L. 1975, Mathematical Functions and Their Approximations (New York: Academic Press) Magnus, W., and Oberhettinger, F. 1949, Formulas and Theorems for the Functions of Mathematical Physics (New York: Chelsea) Martin, B.R. 1971, Statistics for Physicists (New York: Academic Press) Mathews, J., and Walker, R.L. 1970, Mathematical Methods of Physics, 2nd ed. (Reading, MA: W.A. Benjamin/Addison-Wesley) von Mises, R. 1964, Mathematical Theory of Probability and Statistics (New York: Academic Press) Murty, K.G. 1976, Linear and Combinatorial Programming (New York: Wiley) Norusis, M.J. 1982, SPSS Introductory Guide: Basic Statistics and Operations;and 1985, SPSS-X Advanced Statistics Guide (New York: McGraw-Hill)

Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) Copyright (C) 1986-1992 by Cambridge University Press.Programs Copyright (C) 1986-1992 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any copying of machinereadable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America).


References

919

Nussbaumer, H.J. 1982, Fast Fourier Transform and Convolution Algorithms (New York: Springer-Verlag) Ortega, J., and Rheinboldt, W. 1970, Iterative Solution of Nonlinear Equations in Several Variables (New York: Academic Press) Ostrowski, A.M. 1966, Solutions of Equations and Systems of Equations, 2nd ed. (New York: Academic Press) Polak, E. 1971, Computational Methods in Optimization (New York: Academic Press) Rice, J.R. 1983, Numerical Methods, Software, and Analysis (New York: McGrawHill) Richtmyer, R.D., and Morton, K.W. 1967, Difference Methods for Initial Value Problems, 2nd ed. (New York: Wiley-Interscience) Roache, P.J. 1976, Computational Fluid Dynamics (Albuquerque: Hermosa) Robinson, E.A., and Treitel, S. 1980, Geophysical Signal Analysis (Englewood Cliffs, NJ: Prentice-Hall) Smith, B.T., et al. 1976, Matrix Eigensystem Routines -- EISPACK Guide, 2nd ed., vol. 6 of Lecture Notes in Computer Science (New York: Springer-Verlag) Stuart, A., and Ord, J.K. 1987, Kendall's Advanced Theory of Statistics, 5th ed. (London: Griffin and Co.) [previous eds. published as Kendall, M., and Stuart, A., The Advanced Theory of Statistics] Tewarson, R.P. 1973, Sparse Matrices (New York: Academic Press) Westlake, J.R. 1968, A Handbook of Numerical Matrix Inversion and Solution of Linear Equations (New York: Wiley) Wilkinson, J.H. 1965, The Algebraic Eigenvalue Problem (New York: Oxford University Press) Young, D.M., and Gregory, R.T. 1973, A Survey of Numerical Mathematics, 2 vols.; reprinted 1988 (New York: Dover)

Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) Copyright (C) 1986-1992 by Cambridge University Press.Programs Copyright (C) 1986-1992 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any copying of machinereadable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America).


Index of Programs and Dependencies
The following table lists, in alphabetical order, all the routines in Numerical Recipes. When a routine requires subsidiary routines, either from this book or else user-supplied, the full dependency tree is shown: A routine calls directly all routines to which it is connected by a solid line in the column immediately to its right; it calls indirectly the connected routines in all columns to its right. Typographical conventions: Routines from this book are in typewriter font (e.g., eulsum, gammln). The smaller, slanted font is used for the second and subsequent occurences of a routine in a single dependency tree. (When you are getting routines from the Numerical Recipes diskettes, or their archive files, you need only specify names in the larger, upright font.) User-supplied routines are indicated by the use of text font and square brackets, e.g., [funcv]. Consult the text for individual specifications of these routines. The right-hand side of the table lists section and page numbers for each program. addint airy amebsa interp bessik bessjy ran1 . amotsa [funk] amotry [funk] [funk] [funk] ran1 ran3 . irbit1 trncst metrop trnspt revcst revers ... ... arcsum ... ... julday flmoon ... .. .. beschb ... [funk]
ran1

Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) Copyright (C) 1986-1992 by Cambridge University Press.Programs Copyright (C) 1986-1992 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any copying of machinereadable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America).

.

. .

... ... chebev ....

. . .

. . .

. . .

. . .

. . .

§19.6 (p. 871) §6.7 (p. 244) §10.9 (p. 445)

amoeba amotry amotsa anneal

[funk] . . . . . . . . .

. . . .

. . . .

. . . .

. . . .

. . . .

. . . .

. . . .

. . . .

. . . .

§10.4 (p. 404) §10.4 (p. 405) §10.9 (p. 446) §10.9 (p. 439)

ran3

anorm2 arcmak arcode arcsum avevar badluk balanc

. . . . . . .

. . . . . . .

. . . . . . .

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. . . . . . .

. . . . . . . 920

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. . . . . . .

§19.6 §20.5 §20.5 §20.5 §14.2 §1.1

( ( ( ( (

p. 879) p. 904) p. 904) p. 906) p. 611) (p. 14)

§11.5 (p. 477)


Index of Programs and Dependencies

921 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . §2.4 (p. 46) §2.4 (p. 45) §2.4 (p. 44) §3.6 (p. 119) §3.6 (p. 120) §6.7 (p. 239) §6.6 (p. 233) §6.6 (p. 230) §6.6 (p. 231) §6.7 (p. 241) §6.5 (p. 228) §6.5 (p. 225) §6.5 (p. 226) §6.7 (p. 236) §6.6 (p. 232) §6.6 (p. 231) §6.6 (p. 232) §6.5 (p. 227) §6.5 (p. 226) §6.5 (p. 227) §6.1 (p. 209) §6.4 (p. 221) §6.4 (p. 220) §6.1 (p. 208) §17.3 (p. 761) §7.3 (p. 285) §10.2 (p. 397) §9.7 (p. 383)

banbks bandec banmul bcucof bcuint beschb bessi bessi0 bessi1 bessik bessj bessj0 bessj1 bessjy bessk bessk0 bessk1 bessy bessy0 bessy1 beta betacf betai

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. . . . . . . . . . . . . . . . . . . . . . . . . . . .

... ... bcucof chebev bessi0 . . . . . .

Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) Copyright (C) 1986-1992 by Cambridge University Press.Programs Copyright (C) 1986-1992 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any copying of machinereadable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America).

beschb bessj0 bessj1 ... ... beschb bessk0 bessk1 bessi0 bessi1 bessy1 bessy0 bessj0 bessj1 gammln . ...

chebev ... . . .

... chebev bessi0 . bessi1

. .

. .

. .

. .

bessj1 . bessj0 .... .... . . . . . . . . . . . . . . . . .

gammln betacf factln bico bksub . . . . bnldev brent broydn ran1 . gammln [func] . fmin fdjac qrdcmp qrupdt rsolv lnsrch mmid pzextr ...

gammln ... . . . .

.. .. [funcv] rotate
fmin

bsstep caldat

[derivs] . . .

[funcv] ... . . .

. .

. .

. .

. .

. .

. .

§16.4 (p. 722) §1.1 (p. 16)


922 chder . chebev chebft chebpc chint . chixy . choldc cholsl chsone chstwo cisi cntab1 cntab2 convlv copy correl cosft1 cosft2 covsrt crank . cyclic daub4 . dawson dbrent ddpoly decchk df1dim dfour1 dfpmin . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Index of Programs and Dependencies

. . . . . . . . gser gcf gser gcf

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. . . . . . . . . . . . . . . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . . . . . . . . . . . . .

§5.9 (p. 189) §5.8 (p. 187) §5.8 (p. 186) §5.10 (p. 191) §5.9 (p. 189) §15.3 (p. 663) §2.9 (p. 90) §2.9 (p. 90) §14.3 (p. 615) §14.3 (p. 616) §6.9 (p. 251) §14.4 (p. 625) §14.4 (p. 629) §13.1 (p. 536) §19.6 (p. 873) §13.2 (p. 539) §12.3 (p. 512) §12.3 (p. 514) §15.4 (p. 669) §14.6 (p. 636) §2.7 (p. 68) §6.10 (p. 253) §10.3 (p. 400) §5.3 (p. 168) §20.3 (p. 895) §10.6 (p. 417) §10.7 (p. 421)
Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) Copyright (C) 1986-1992 by Cambridge University Press.Programs Copyright (C) 1986-1992 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any copying of machinereadable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America).

[func]

gammq gammq . . . .

.. gammln .. gammln . . . . .. gammln . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

. gser gcf

gammq . . . .

.

twofft realft . . . . twofft realft realft realft . . . . . . . . . . . . . . . . . . . . . . .

.. four1 . . . .. four1 four1 . four1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

tridag

. §13.10 (p. 588)

[func] [dfunc] . . . . . . . . .

[dfunc] [func] [dfunc] lnsrch [func] . . .

DOUBLE PRECISION version of four1, q.v.

[func] . . . . . . . . . . . . . . . . . . . . . . . . §5.7 (p. 182) §13.9 (p. 580)

dfridr dftcor


Index of Programs and Dependencies

923 . . . §13.9 (p. 581)

dftint

difeq . dpythag drealft dsprsax dsprstx dsvbksb dsvdcmp eclass eclazz ei . . eigsrt elle ellf ellpi

[func] realft polint dftcor ... ... ... ... ... ... ... ... [equiv] ... ... rf . . rd rf . . rf . . rj rc
rf

.

... four1

.

.

.

.

.

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. . . . . . . . . . . . . .

. . . . . . . . . . . . . .

... DOUBLE DOUBLE DOUBLE DOUBLE DOUBLE DOUBLE ... ... ... ... ... . . . . . .

... PRECISION PRECISION PRECISION PRECISION PRECISION PRECISION ... ... ... ... ... . . . . . .

.. version version version version version version .. .. .. .. .. . . . .

§17.4 (p. 769) of pythag, q.v. of realft, q.v. of sprsax, q.v. of sprstx, q.v. of svbksb, q.v. of svdcmp, q.v. §8.6 (p. 338) §8.6 (p. 339) §6.3 (p. 218) §11.1 (p. 462) §6.11 (p. 261) §6.11 (p. 260) §6.11 (p. 261)

Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) Copyright (C) 1986-1992 by Cambridge University Press.Programs Copyright (C) 1986-1992 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any copying of machinereadable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America).

elmhes .. erf gammp erfc gammp gammq

.

..... gser .. gcf gammln gser .. gcf gammln
gser gcf gammln

. . .

. . .

. . .

. . .

. . .

. . .

. . .

§11.5 (p. 479) §6.2 (p. 213) §6.2 (p. 214)

erfcc . . . . eulsum ... evlmem ... expdev ran1 . expint ... f1dim [func] . factln gammln factrl gammln fasper avevar spread realft fdjac [funcv] fgauss ... fill0 . . . .

. . . . . . . . .

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. . . . . . . . .

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§6.2 §5.1 §13.7 §7.2 §6.3 §10.5 §6.1 §6.1 §13.8

( ( ( ( ( ( ( ( (

p. p. p. p. p. p. p. p. p.

214) 161) 567) 278) 217) 413) 208) 207) 575)

four1 .... .... ....

. . .

. . .

. . .

. . .

. . .

. . .

. . .

. . .

§9.7 (p. 381) §15.5 (p. 683) §19.6 (p. 873)


924

Index of Programs and Dependencies

fit fitexy

gammq

gser gcf

.. gammln

. .

. .

. .

. .

. .

. .

. .

§15.2 (p. 659) §15.3 (p. 662)

avevar . . . . . fit gammq gser gcf chixy mnbrak brent
gammq gser gcf gammln chixy

gammln
Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) Copyright (C) 1986-1992 by Cambridge University Press.Programs Copyright (C) 1986-1992 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any copying of machinereadable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America).

zbrent fixrts fleg flmoon fmin four1 . fourew fourfs fourn . fpoly . fred2 . zroots . . . . . . . . . . . . . . . . . .

laguer . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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. . . . . . . . . .

. . . . . . . . . .

§13.6 (p. 562) §15.4 (p. 674) §1.0 (p. 1) §9.7 (p. 381) §12.2 (p. 501) §12.6 (p. 528) §12.6 (p. 525) §12.4 (p. 518) §15.4 (p. 674) §18.1 (p. 784)

[funcv] .

fourew

gauleg [ak] [g] ludcmp lubksb quadmx ludcmp lubksb [ak] [g] . . . .

fredex

wwghts

kermom

.

.

.

.

.

§18.3 (p. 793)

fredin frenel frprmn

. . .

. . .

. . .

. . .

. . .

. . .

. . .

. . .

. . .

. . .

. . .

. . .

§18.1 (p. 784) §6.9 (p. 249) §10.6 (p. 416)

[func] [dfunc] linmin avevar betai ran1 . . . . gser gcf

mnbrak brent ... gammln betacf . . . . . . .

f1dim . . .

[func] . . . . . §14.2 (p. 613)

ftest

gamdev gammln gammp

. . .

. . .

. . .

. . .

. . .

. . .

. . .

. . .

. . .

§7.3 (p. 283) §6.1 (p. 207) §6.2 (p. 211)

.. gammln


Index of Programs and Dependencies

925 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . §6.2 (p. 211) §7.2 (p. 280) §4.5 (p. 151) §4.5 §4.5 §4.5 §4.5 §2.1 §6.2 §10.1 §6.2 §8.5 §8.3 §11.6 §20.4 §20.4 §20.4 §20.4 §3.4 §6.12 §6.12 ( ( ( ( p. 147) p. 148) p. 146) p. 145) (p. 30) (p. 212) (p. 394) (p. 212) (p. 336) (p. 329) (p. 484) (p. 899) (p. 900) (p. 900) (p. 898) (p. 112) (p. 265) (p. 264)
Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) Copyright (C) 1986-1992 by Cambridge University Press.Programs Copyright (C) 1986-1992 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any copying of machinereadable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America).

gammq gasdev gaucof gauher gaujac gaulag gauleg gaussj gcf golden gser hpsel hpsort hqr hufapp hufdec hufenc hufmak hunt hypdrv hypgeo

gser .. gcf gammln ran1 . . . . tqli pythag eigsrt ...... gammln . . . gammln . . . ...... ...... gammln . . . . [func] ... gammln . . . . sort . . . . ...... ....... ...... ...... ...... hufapp . . . ....... ...... hypser . . . odeint bsstep hypdrv .. .. .. .. .. .. .. .. .. .. .. .. .. .. ..

. . . . . . . . . . . . . . . . . . . . .

. . .

. . .

. . .

. . . . . . . . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . . . . . . .

... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... ... mmid pzextr . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

hypser .. icrc icrc1 icrc1 . . . igray . . . iindexx . . indexx .. interp .. irbit1 .. irbit2 .. jacobi .. jacobn .. julday .. kendl1 erfcc kendl2 erfcc kermom ..

. . . . . . . . . . . .

.

. . . . . . . . . . . . . . .

. . . . . . . . . . . . . . .

. . . . . . . . . . . . . .

.. .. .. .. INTEGER .. .. .. .. .. .. .. .. .. ..

.. .. .. .. version .. .. .. .. .. .. .. .. .. ..

§6.12 (p. 264) §20.3 (p. 893) §20.3 (p. 892) §20.2 (p. 888) of indexx, q.v. §8.4 (p. 330) §19.6 (p. 871) §7.4 (p. 288) §7.4 (p. 290) §11.1 (p. 460) §16.6 (p. 734) §1.1 (p. 13) §14.6 (p. 638) §14.6 (p. 639) §18.3 (p. 792)


926 .

Index of Programs and Dependencies

ks2d1s

quadct quadvl pearsn probks

.

.

.

.

.

.

.

.

.

.

.

§14.7 (p. 642)

betai

gammln betacf . . . . . §14.7 (p. 643)
Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) Copyright (C) 1986-1992 by Cambridge University Press.Programs Copyright (C) 1986-1992 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any copying of machinereadable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America).

ks2d2s

quadct pearsn probks

.

...... betai gammln betacf . . . . . .

ksone

sort . [func] probks sort . probks . . . [funcs] . gaussj covsrt atimes snrm asolve mnbrak brent [func] . . . . . . . . . . . . . . . . . . . . . . . . . . . .

.

.

.

.

.

.

§14.3 (p. 619)

kstwo laguer lfit

. . .

. . .

. . .

. . .

. . .

. . .

. . .

. . .

. . .

. . .

. . .

. . .

§14.3 (p. 619) §9.5 (p. 366) §15.4 (p. 668)

linbcg

.

.

.

.

.

.

.

.

.

.

.

.

§2.7 (p. 79)

linmin lnsrch locate lop lubksb ludcmp machar maloc . matadd matsub medfit memcof metrop mgfas

. f1dim . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

. . . . . . . . . . . . .

.. [func] . . . . . . . . . . . . . . . . . . . . . . . . . .

. . . . . . . . . . . . . .

. . . . . . . . . . . . . .

. . . . . . . . . . . . . .

. . . . . . . . . . . . . .

. . . . . . . . . . . . . .

. . . . . . . . . . . . . .

§10.5 (p. 412) §9.7 (p. 378) §3.4 (p. 111) §19.6 (p. 879) §2.3 (p. 39) §2.3 (p. 38) §20.1 (p. 884) §19.6 (p. 873) §19.6 (p. 879) §19.6 (p. 879) §15.7 (p. 699) §13.6 (p. 561) §10.9 (p. 443) §19.6 (p. 877)

rofunc ran3 . maloc . rstrct slvsm2 interp copy relax2 lop matsub

select

fill0


Index of Programs and Dependencies

927

mglin

anorm2 matadd maloc . rstrct slvsml interp copy relax resid
fill0

.

.

.

.

.

.

.

.

.

.

.

.

§19.6 (p. 869)

fill0
Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) Copyright (C) 1986-1992 by Cambridge University Press.Programs Copyright (C) 1986-1992 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any copying of machinereadable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America).

addint midinf midpnt miser mmid mnbrak mnewt [func] [func] ranpt [func] [derivs] [func] [usrfun] ludcmp lubksb ... mpops mpinv
mpmul mpops

interp

... ... ran1 . . . . . . .

. . . . . .

. . . . . .

. . . . . .

. . . . . .

. . . . . .

. . . . . .

. . . . . .

. . . . . .

. . . . . .

§4.4 (p. 138) §4.4 (p. 136) §7.8 (p. 316) §16.3 (p. 717) §10.1 (p. 393) §9.6 (p. 374)

.

moment mp2dfr mpdiv

... ... mpmul mpops
drealft

.... .... drealft
dfour1

... ... dfour1

. . .

. . .

§14.1 (p. 607) §20.6 (p. 913) §20.6 (p. 911)

mpmul mpops drealft mpmul mpops . . . . mpsqrt mppi
mpops mpmul

mpinv

drealft

dfour1

.

.

.

. . . .

. . . .

§20.6 (p. 911) §20.6 (p. 910) §20.6 (p. 907) §20.6 (p. 913)

dfour1 ... ....... mpmul drealft mpops
drealft dfour1

... ... dfour1

mprove mpsqrt mrqcof mrqmin

mpinv mpmul drealft dfour1 mp2dfr mpops lubksb . . . . . . . . . mpmul drealft dfour1 . . mpops [funcs] . . . . . . . . . mrqcof [funcs] . . . . . . gaussj covsrt

. . . .

. . . .

. . . .

§2.5 (p. 48) §20.6 (p. 912) §15.5 (p. 681) §15.5 (p. 680)


928

Index of Programs and Dependencies

newt

odeint

orthog pade

pccheb pcshft pearsn period piksr2 piksrt pinvs . plgndr poidev polcoe polcof poldiv polin2 polint powell

fmin ...... fdjac [funcv] ludcmp lubksb lnsrch fmin [funcv] [derivs] .... rkqs [derivs] rkck [derivs] ......... ludcmp . . . . . . . lubksb mprove lubksb ......... ... betai avevar ... ... ... ... ran1 . gammln ... polint ... polint ... [func] linmin . . . . . . . [fu . . . . . . . . nc] . . . . . . . . . . .. gammln betacf ... ... ... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

.

.

.

.

.

.

§9.7 (p. 379)

.

.

.

.

.

.

§16.2 (p. 714)

Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) Copyright (C) 1986-1992 by Cambridge University Press.Programs Copyright (C) 1986-1992 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any copying of machinereadable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America).

. .

. .

. .

. .

. .

. .

§4.5 (p. 153) §5.12 (p. 196)

. . . . . . . . . . . . . .

. . . . . . . . . . . . . . .

. . . . . . . . . . . . . . .

. . . . . . . . . . . . . . .

. . . . . . . . . . . . . . .

. . . . . . . . . . . . . . .

§5.11 (p. 193) §5.10 (p. 192) §14.5 (p. 632) §13.8 (p. 572) §8.1 (p. 322) §8.1 (p. 321) §17.3 (p. 762) §6.8 (p. 247) §7.3 (p. 284) §3.5 (p. 114) § § § § 3.5 5.3 3.6 3.1 ( ( ( ( p. p. p. p. 115) 169) 118) 103)

...... mnbrak brent f1dim . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

§10.5 (p. 411)

[func] . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . §13.6 . §14.3 . §7.5 . §13.10 (p. (p. (p. (p. 562) 620) 293) 589)

predic probks psdes . pwt . pwtset pythag pzextr qgaus qrdcmp

. . . . . . . . .

. §13.10 (p. 589) . §2.6 (p. 62) . §16.4 (p. 724) . §4.5 (p. 141) . §2.10 (p. 92)


Index of Programs and Dependencies

929 . . . . . . . . . . . . . . . . . . . . . . . . §4.3 (p. 134) §4.4 (p. 137) §9.5 §2.10 §2.10 §4.2 §4.2 §4.6 (p. 371) (p. 93) (p. 94) (p. 133) (p. 131) (p. 157)

qromb qromo qroot qrsolv qrupdt qsimp qtrap quad3d

trapzd polint midpnt polint poldiv rsolv rotate trapzd trapzd qgaus

[func] [func] . . .

. .

. . . . . . . .

. . . . . . . .

. . . . . . . .

. . . . . . . .

. . . . . . . .

quadct quadmx quadvl ran0 ran1 ran2 ran3 ran4 rank ranpt ratint ratlsq

. . . . .

ratval rc . rd . realft rebin red relax relax2 resid revcst revers rf .

. . . . . .

.

... wwghts ... ... ... ... ... psdes . ... ran1 . ... [fn ] . dsvdcmp dsvbksb ratval ... ... ... four1 ... ... ... ... ... ... ... ...

. . . . . . . . . . .

... ... ... [func] . [func] . [func] . [y1] [y2] [z1] [z2] ... kermom ... ... ... ... ... ... ... ... ... ... dpythag

Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) Copyright (C) 1986-1992 by Cambridge University Press.Programs Copyright (C) 1986-1992 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any copying of machinereadable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America).

. . . . . . . . . . . .

. . . . . . . . . . . .

. . . . . . . . . . . .

. . . . . . . . . . . .

. . . . . . . . . . . .

. . . . . . . . . . . .

. . . . . . . . . . . .

. . . . . . . . . . . .

§14.7 §18.3 §14.7 §7.1 §7.1 §7.1 §7.1 §7.5 §8.4 §7.8 §3.2 §5.13

(p. (p. (p. (p. (p. (p. (p. (p. (p. (p. (p. (p.

642) 793) 643) 270) 271) 272) 273) 294) 333) 318) 106) 200)

. . . . . . . . . . . .

. . . . . . . . . . . .

. . . . . . . . . . . .

. . . . . . . . . . . .

. . . . . . . . . . . .

. . . . . . . . . . . .

. . . . . . . . . . . .

. . . . . . . . . . . .

. . . . . . . . . . . .

. . . . . . . . . . . .

. . . . . . . . . . . .

. . . . . . . . . . . .

§5.3 §6.11 §6.11 §12.3 §7.8 §17.3 §19.6 §19.6 §19.6 §10.9 §10.9 §6.11

(p. (p. (p. (p. (p. (p. (p. (p. (p. (p. (p. (p.

170) 259) 257) 507) 314) 763) 872) 878) 872) 441) 442) 257)


930

Index of Programs and Dependencies

rc . . . . . rf [derivs] .. rk4 [derivs] . rkck [derivs] rkdumb rk4 [derivs] rkck [derivs] rkqs rj fourn . rlft3 select rofunc rotate ... rsolv . . . . rstrct rtbis rtflsp rtnewt rtsafe rtsec rzextr savgol scrsho select selip sfroid ... [func] . [func] [funcd [funcd [func] .. ] ] . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

. . . .

. . . .

. . . . .

. . . . . . . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . . . . . . .

§6.11 (p. 258) §16.1 (p. 706) §16.2 (p. 713) §16.1 (p. 707)
Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) Copyright (C) 1986-1992 by Cambridge University Press.Programs Copyright (C) 1986-1992 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any copying of machinereadable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America).

§16.2 (p. 712) §12.5 §15.7 §2.10 §2.10 (p. 522) (p. 700) (p. 95) (p. 93)

. . . . . . . . . . . . . . .

. . . . . . . . . . . . . . .

. . . . . . . . . . . . . . .

§19.6 (p. 870) §9.1 (p. 347) §9.2 (p. 349) §9.4 §9.4 §9.2 §16.4 ( ( ( ( p. p. p. p. 358) 359) 350) 725)

ludcmp lubksb [func] ... shell . plgndr solvde

§14.8 (p. 646) §9.0 (p. 342) §8.5 (p. 334) §8.5 (p. 335) §17.4 (p. 768)

shell . . . . [load] . shoot odeint [score] [load1] odeint [score] [load2] simp1 . simp2 . simp3 . . . . . . . . . .

..... difeq pinvs red bksub ...... ...... [derivs] rkqs rkck . ..... [derivs] rkqs rkck

. .

. .

. .

. .

. .

. .

§8.1 (p. 323) §17.1 (p. 750)

[derivs] . . . . . . §17.2 (p. 752)

shootf

[derivs]

. . .

. . .

. . .

. . .

. . .

. . .

. . .

. . .

. . .

. . .

. . .

. . .

§10.8 (p. 434) §10.8 (p. 434) §10.8 (p. 435)


Index of Programs and Dependencies

931 . . . §10.8 (p. 432)

simplx

simpr

sinft slvsm2 slvsml sncndn snrm . sobseq solvde

sor . sort . sort2 . sort3 spctrm spear

simp1 simp2 simp3 ludcmp lubksb [derivs] realft fill0 fill0 .. .. .. difeq pinvs red bksub .. .. .. indexx four1 sort2 crank erfcc betai

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

§16.6 (p. 736)
Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) Copyright (C) 1986-1992 by Cambridge University Press.Programs Copyright (C) 1986-1992 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any copying of machinereadable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America).

. . .

. . . . . .

four1 .. .. .. .. .. ..

. . . . . . .

. . . . . . .

. . . . . . .

. . . . . . .

. . . . . . .

. . . . . . .

. . . . . . .

. . . . . . .

. . . . . . .

§12.3 §19.6 §19.6 §6.11 §2.7 §7.7 §17.3

(p. 511) (p. 878) (p. 872) (p. 262) (p. 81) (p. 302) (p. 760)

. . .

.

. . . . . .

. . . . . .

. . . . . .

. . . . . .

. . . . . .

. . . . . .

. . . . . .

. . . . . .

. . . . . .

. . . . . .

. . . . . .

. . . . . .

§19.5 §8.2 §8.2 §8.4 §13.4 §14.6

( ( ( ( ( (

p. p. p. p. p. p.

860) 324) 326) 332) 550) 635)

sphbes sphfpt

bessjy newt

sphoot

newt

splie2 splin2 spline splint spread

spline splint spline ... ... ...

gammln betacf beschb fdjac lnsrch fmin ludcmp lubksb fdjac lnsrch fmin ludcmp lubksb ... ... . . . . . . . . .

chebev . shootf (q.v.)
shootf

. .

. .

. .

. .

§6.7 (p. 245) §17.4 (p. 772)

(q.v.)

shoot (q.v.) .
shoot

.

.

.

.

§17.4 (p. 771)

(q.v.)

. . . . .

. . . . .

. . . . .

. . . . .

. . . . .

. . . . .

. . . . .

. . . . .

. . . . .

§3.6 (p. 121) §3.6 (p. 121) §3.3 (p. 109) §3.3 (p. 110) §13.8 (p. 576)


932 . . . . . . . . . . . . . . . . . . . . .

Index of Programs and Dependencies

sprsax sprsin sprspm sprstm sprstp sprstx stifbs

. . . . . .

. . . . . .

. . . . . .

. . . . . . .

. . . . . . .

. . . . . . .

. . . . . . .

. . . . . . .

. . . . . . .

. . . . . . .

. . . . . . .

§2.7 (p. 72) §2.7 (p. 72) §2.7 (p. 75) §2.7 (p. 76) §2.7 (p. 73) §2.7 (p. 73) §16.6 (p. 737)
Sample page from NUMERICAL RECIPES IN FORTRAN 77: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43064-X) Copyright (C) 1986-1992 by Cambridge University Press.Programs Copyright (C) 1986-1992 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any copying of machinereadable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America).

iindexx . jacobn simpr

... ludcmp lubksb [derivs] . . .

pzextr stiff jacobn ludcmp lubksb [derivs] [derivs] . . . . . . . . pythag [funcs] svdcmp svbksb . . . . . . . . . . . . . . . §16.6 (p. 732)

stoerm svbksb svdcmp svdfit

. . .

. . .

. . . .

. . . .

. . . .

. . . .

. . . .

. . . .

. . . .

. . . .

§16.5 (p. 726) §2.6 (p. 56) §2.6 (p. 59) §15.4 (p. 672)

... pythag . . . . . .

svdvar toeplz tptest

. . .

. . .

. . .

. . .

. . .

. . .

. . .

. . .

. . .

§15.4 (p. 673) §2.8 (p. 88) §14.2 (p. 612)

avevar betai pythag . [func] . . . . . . . . . . . .

... gammln betacf . . . . . . . . . . . . . . . . . . .

tqli trapzd tred2 . tridag trncst trnspt ttest

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§11.3 (p. 473) §4.2 (p. 131) §11.2 (p. 467) §2.4 (p. 43) §10.9 (p. 442) §10.9 (p. 442) §14.2 (p. 610)

avevar betai avevar betai four1 . . .

... gammln betacf .

tutest

... gammln betacf . . . . . .

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§14.2 (p. 611)

twofft vander

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§12.3 (p. 505) §2.8 (p. 84)


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. §13.10 (p. 587)

§7.8 (p. 311)

595) 791) 345) 345) §9.3 (p. 354) §9.5 (p. 368) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . daub4 . wtn kermom wwghts [func] . zbrac [func] . zbrak zbrent zrhqr zriddr zroots [func] balanc hqr [func] laguer . . . . . . . . . . . . . . . . . . . . . . . . §9.2 (p. 351) §9.5 (p. 367) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . §13.10 . §18.3 . §9.1 . §9.1 (p. (p. (p. (p.

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§18.2 (p. 787)

933

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Index of Programs and Dependencies

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voltra

vegas

wt1

[g ] . [ak] ludcmp lubksb daub4 . rebin . ran2 [fxn]

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