f21-1

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 copyin g of machine- readable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes booksor CDROMs, v isit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to [email protected] (outside North Amer ica).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 personalreferencecollectiononnumericalmethods,numericalanalysis,andclosely related subjects. These are the books that we like to have within easy reach. Abramowitz,M.,andStegun,I.A.1964, HandbookofMathematicalFunc- tions,AppliedMathematicsSeries,Volume55(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.,andSchrage,E.L.1983, AGuidetoSimulation (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, ComputationalMethodsfor Inte- gral Equations (Cambridge,U.K.: CambridgeUniversityPress) Dennis, J.E., and Schnabel, R.B. 1983, Numerical Methods for Uncon- strained Optimization and Nonlinear Equations (Englewood Cliffs, NJ: Prentice-Hall) Gill, P.E.,Murray,W., andWright,M.H.1991, NumericalLinearAlgebra and Optimization , vol. 1 (RedwoodCity, CA: Addison-Wesley) Golub, G.H., and Van Loan, C.F. 1989, Matrix Computations , 2nd ed. (Baltimore: Johns Hopkins University Press) Oppenheim,A.V.,andSchafer,R.W. 1989, Discrete-Time SignalProcess- ing(Englewood Cliffs, NJ: Prentice-Hall) Ralston,A.,andRabinowitz,P.1978, AFirstCourseinNumericalAnalysis , 2nd ed. (New York: McGraw-Hill) Sedgewick,R.1988, Algorithms ,2nded.(Reading,MA:Addison-Wesley) Stoer,J., andBulirsch, R. 1980, Introductionto Numerical Analysis (New York: Springer-Verlag) Wilkinson,J.H.,andReinsch,C.1971, LinearAlgebra ,vol.IIof Handbook for Automatic Computation (New York: Springer-Verlag) 916 References 917Sample 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 copyin g of machine- readable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes booksor CDROMs, v isit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to [email protected] (outside North Amer ica).Wenextlistthelargercollectionofbooks,which,inourview,shouldbeincluded in any serious research library on computing,numericalmethods, or analysis. Bevington,P.R.1969, DataReductionandErrorAnalysisforthePhysicalSciences (New York: McGraw-Hill) Bloomfield,P.1976, FourierAnalysisofTimeSeries–AnIntroduction (NewYork: Wiley) Bowers, R.L.,and Wilson,J.R.1991, Numerical Modeling in Applied Physicsand Astrophysics (Boston: Jones & Bartlett) Brent, R.P. 1973, Algorithms for Minimization without Derivatives (Englewood Cliffs, NJ: Prentice-Hall) Brigham,E.O.1974, TheFastFourierTransform (Englewood Cliffs,NJ:Prentice- Hall) 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.,andZang,T.A.1988, SpectralMethods 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, FourierTransformsandTheirPhysicalApplications (New York: Academic Press) Childers, D.G. (ed.) 1978, Modern Spectrum Analysis (New York: IEEEPress) Cooper, L., and Steinberg, D. 1970, Introduction to Methods of Optimization (Philadelphia: Saunders) Dantzig,G.B.1963, LinearProgrammingandExtensions (Princeton,NJ:Princeton University Press) Devroye,L.1986, Non-UniformRandomVariateGeneration (NewYork:Springer- Verlag) Dongarra, J.J., et al. 1979, LINPACKUser’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, Appli- cations(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, NumericalInitialValueProblemsinOrdinaryDifferentialEqua- tions(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: Springer- Verlag) 918 ReferencesSample 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 copyin g of machine- readable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes booksor CDROMs, v isit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to [email protected] (outside North Amer ica).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, IntroductiontoNumericalAnalysis ,2nded.;reprinted1987 (New York: Dover) Hoel,P.G.1971, IntroductiontoMathematicalStatistics ,4thed.(NewYork:Wiley) Horn, R.A., and Johnson, C.R. 1985, Matrix Analysis (Cambridge: Cambridge University Press) Householder, A.S.1970, TheNumericalTreatmentofaSingleNonlinearEquation (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 ,v o l .1o f 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 andSearching , vol.3of TheArtofComputer Program- ming(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 LeastSquares 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.,andOberhettinger,F.1949, FormulasandTheoremsfortheFunctions 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) vonMises,R.1964, MathematicalTheoryofProbabilityandStatistics (NewYork: Academic Press) Murty, K.G.1976, Linear and Combinatorial Programming (New York: Wiley) Norusis,M.J.1982, SPSSIntroductoryGuide:BasicStatisticsandOperations ;and 1985,SPSS-X Advanced Statistics Guide (New York: McGraw-Hill) References 919Sample 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 copyin g of machine- readable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes booksor CDROMs, v isit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to [email protected] (outside North Amer ica).Nussbaumer,H.J.1982, FastFourierTransformandConvolutionAlgorithms (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, NumericalMethods,Software,andAnalysis (NewYork:McGraw- Hill) 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.,etal.1976, MatrixEigensystemRoutines—EISPACKGuide ,2nded., 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:GriffinandCo.)[previouseds.publishedasKendall,M.,andStuart,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.,andGregory,R.T.1973, ASurveyofNumericalMathematics ,2vols.; 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 copyin g of machine- readable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes booksor CDROMs, v isit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to [email protected] (outside North Amer ica).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,thefulldependencytreeisshown: Aroutinecallsdirectlyallroutinesto 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 fromthis bookare in typewriterfont(e.g., eulsum, gammln). Thesmaller,slantedfontisusedforthesecondandsubsequentoccurencesofaroutine in a single dependency tree. (When you are getting routines from the Numerical Recipesdiskettes, or their archive files, you need only specify names in the larger, uprightfont.) User-suppliedroutinesareindicatedbytheuseoftextfontandsquare brackets,e.g.,[funcv]. Consultthetextforindividualspecificationsoftheseroutines.The right-handside of the table lists section andpage numbersforeach program. addint interp ............ §19.6 (p.871) airy bessik ........... §6.7 (p.244) bessjy beschb chebev amebsa ran1............. §10.9 (p.445) amotsa [funk] ran1 [funk] amoeba amotry [funk] . . . . . . . . . §10.4 (p.404) [funk] amotry [funk] . . . . . . . . . . . . §10.4 (p.405) amotsa [funk] . . . . . . . . . . . . §10.9 (p.446) ran1 anneal ran3............. §10.9 (p.439) irbit1 trncst metrop ran3 trnspt revcst revers anorm2 ............... §19.6 (p.879) arcmak ............... §20.5 (p.904) arcode arcsum ............ §20.5 (p.904) arcsum ............... §20.5 (p.906) avevar ............... §14.2 (p.611) badluk julday ............ §1.1 (p.14) flmoon balanc ............... §11.5 (p.477) 920 IndexofProgramsandDependencies 921Sample 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 copyin g of machine- readable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes booksor CDROMs, v isit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to [email protected] (outside North Amer ica).banbks ............... §2.4 (p.46) bandec ............... §2.4 (p.45) banmul ............... §2.4 (p.44) bcucof ............... §3.6 (p.119) bcuint bcucof ............ §3.6 (p.120) beschb chebev ............ §6.7 (p.239) bessi bessi0 ............ §6.6 (p.233) bessi0 ............... §6.6 (p.230) bessi1 ............... §6.6 (p.231) bessik beschb chebev ........ §6.7 (p.241) bessj bessj0 ............ §6.5 (p.228) bessj1 bessj0 ............... §6.5 (p.225) bessj1 ............... §6.5 (p.226) bessjy beschb chebev ........ §6.7 (p.236) bessk bessk0 bessi0 ......... §6.6 (p.232) bessk1 bessi1 bessk0 bessi0 ............ §6.6 (p.231) bessk1 bessi1 ............ §6.6 (p.232) bessy bessy1 bessj1 ......... §6.5 (p.227) bessy0 bessj0 bessy0 bessj0 ............ §6.5 (p.226) bessy1 bessj1 ............ §6.5 (p.227) beta gammln ............. §6.1 (p.209) betacf ............... §6.4 (p.221) betai gammln ............ §6.4 (p.220) betacf bico factln gammln ......... §6.1 (p.208) bksub................ §17.3 (p.761) bnldev ran1............. §7.3 (p.285) gammln brent [func] . . . . . . . . . . . . . §10.2 (p.397) broydn fmin ........... §9.7 (p.383) fdjac [funcv] qrdcmp qrupdt rotate rsolv lnsrch fmin [funcv] bsstep mmid [derivs] . . . . . . . . . §16.4 (p.722) pzextr caldat ............... §1.1 (p.16) 922 IndexofProgramsandDependenciesSample 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 copyin g of machine- readable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes booksor CDROMs, v isit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to [email protected] (outside North Amer ica).chder................ §5.9 (p.189) chebev ............... §5.8 (p.187) chebft [func] . . . . . . . . . . . . §5.8 (p.186) chebpc ............... §5.10 (p.191) chint................ §5.9 (p.189) chixy................ §15.3 (p.663) choldc ............... §2.9 (p.90) cholsl ............... §2.9 (p.90) chsone gammq gser ........ §14.3 (p.615) gcf gammln chstwo gammq gser ........ §14.3 (p.616) gcf gammln cisi................ §6.9 (p.251) cntab1 gammq gser ........ §14.4 (p.625) gcf gammln cntab2 ............... §14.4 (p.629) convlv twofft .......... §13.1 (p.536) realft four1 copy................ §19.6 (p.873) correl twofft .......... §13.2 (p.539) realft four1 cosft1 realft four1......... §12.3 (p.512) cosft2 realft four1......... §12.3 (p.514) covsrt ............... §15.4 (p.669) crank................ §14.6 (p.636) cyclic tridag ............ §2.7 (p.68) daub4................ §13.10 (p.588) dawson ............... §6.10 (p.253) dbrent [func] . . . . . . . . . . . . §10.3 (p.400) [dfunc] ddpoly ............... §5.3 (p.168) decchk ............... §20.3 (p.895) df1dim [dfunc] . . . . . . . . . . . . §10.6 (p.417) dfour1 ....... DOUBLE PRECISION versionof four1,q.v. dfpmin [func] . . . . . . . . . . . . §10.7 (p.421) [dfunc] lnsrch [func] dfridr [func] . . . . . . . . . . . . §5.7 (p.182) dftcor ............... §13.9 (p.580) IndexofProgramsandDependencies 923Sample 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 copyin g of machine- readable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes booksor CDROMs, v isit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to [email protected] (outside North Amer ica).dftint [func] . . . . . . . . . . . . §13.9 (p.581) realft four1 polint dftcor difeq................ §17.4 (p.769) dpythag ....... DOUBLE PRECISION versionof pythag,q.v. drealft ....... DOUBLE PRECISION versionof realft,q.v. dsprsax ....... DOUBLE PRECISION versionof sprsax,q.v. dsprstx ....... DOUBLE PRECISION versionof sprstx,q.v. dsvbksb ....... DOUBLE PRECISION versionof svbksb,q.v. dsvdcmp ....... DOUBLE PRECISION versionof svdcmp,q.v. eclass ............... §8.6 (p.338) eclazz [equiv] . . . . . . . . . . . . §8.6 (p.339) ei................. §6.3 (p.218) eigsrt ............... §11.1 (p.462) elle rf.............. §6.11 (p.261) rd ellf rf.............. §6.11 (p.260) ellpi rf.............. §6.11 (p.261) rj rc rf elmhes ............... §11.5 (p.479) erf gammp gser ......... §6.2 (p.213) gcf gammln erfc gammp gser ......... §6.2 (p.214) gcf gammln gammq gser gcf gammln erfcc................ §6.2 (p.214) eulsum ............... §5.1 (p.161) evlmem ............... §13.7 (p.567) expdev ran1............. §7.2 (p.278) expint ............... §6.3 (p.217) f1dim [func] . . . . . . . . . . . . . §10.5 (p.413) factln gammln ............ §6.1 (p.208) factrl gammln ............ §6.1 (p.207) fasper avevar ............ §13.8 (p.575) spread realft four1 fdjac [funcv] . . . . . . . . . . . . §9.7 (p.381) fgauss ............... §15.5 (p.683) fill0................ §19.6 (p.873) 924 IndexofProgramsandDependenciesSample 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 copyin g of machine- readable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes booksor CDROMs, v isit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to [email protected] (outside North Amer ica).fit gammq gser ......... §15.2 (p.659) gcf gammln fitexy avevar ............ §15.3 (p.662) fit gammq gser gcf gammln chixy mnbrak brent gammq gser gcf gammln zbrent chixy fixrts zroots laguer ........ §13.6 (p.562) fleg................ §15.4 (p.674) flmoon ............... §1.0 (p.1) fmin [funcv] . . . . . . . . . . . . . §9.7 (p.381) four1................ §12.2 (p.501) fourew ............... §12.6 (p.528) fourfs fourew ............ §12.6 (p.525) fourn................ §12.4 (p.518) fpoly................ §15.4 (p.674) fred2 gauleg ............ §18.1 (p.784) [ak] [g] ludcmp lubksb fredex quadmx wwghts kermom ..... §18.3 (p.793) ludcmp lubksb fredin [ak] . . . . . . . . . . . . . §18.1 (p.784) [g] frenel ............... §6.9 (p.249) frprmn [func] . . . . . . . . . . . . §10.6 (p.416) [dfunc] linmin mnbrak brent f1dim [func] ftest avevar ............ §14.2 (p.613) betai gammln betacf gamdev ran1............. §7.3 (p.283) gammln ............... §6.1 (p.207) gammp gser ........... §6.2 (p.211) gcf gammln IndexofProgramsandDependencies 925Sample 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 copyin g of machine- readable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes booksor CDROMs, v isit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to [email protected] (outside North Amer ica).gammq gser ........... §6.2 (p.211) gcf gammln gasdev ran1............. §7.2 (p.280) gaucof tqli pythag ......... §4.5 (p.151) eigsrt gauher ............... §4.5 (p.147) gaujac gammln ............ §4.5 (p.148) gaulag gammln ............ §4.5 (p.146) gauleg ............... §4.5 (p.145) gaussj ............... §2.1 (p.30) gcf gammln ............. §6.2 (p.212) golden [func] . . . . . . . . . . . . §10.1 (p.394) gser gammln ............. §6.2 (p.212) hpsel sort............. §8.5 (p.336) hpsort ............... §8.3 (p.329) hqr................ §11.6 (p.484) hufapp ............... §20.4 (p.899) hufdec ............... §20.4 (p.900) hufenc ............... §20.4 (p.900) hufmak hufapp ............ §20.4 (p.898) hunt................ §3.4 (p.112) hypdrv ............... §6.12 (p.265) hypgeo hypser ............ §6.12 (p.264) odeint bsstep mmid pzextr hypdrv hypser ............... §6.12 (p.264) icrc icrc1 ............. §20.3 (p.893) icrc1................ §20.3 (p.892) igray................ §20.2 (p.888) iindexx .......... INTEGER versionof indexx,q.v. indexx ............... §8.4 (p.330) interp ............... §19.6 (p.871) irbit1 ............... §7.4 (p.288) irbit2 ............... §7.4 (p.290) jacobi ............... §11.1 (p.460) jacobn ............... §16.6 (p.734) julday ............... §1.1 (p.13) kendl1 erfcc ............ §14.6 (p.638) kendl2 erfcc ............ §14.6 (p.639) kermom ............... §18.3 (p.792) 926 IndexofProgramsandDependenciesSample 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 copyin g of machine- readable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes booksor CDROMs, v isit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to [email protected] (outside North Amer ica).ks2d1s quadct ............ §14.7 (p.642) quadvl pearsn betai gammln betacf probks ks2d2s quadct ............ §14.7 (p.643) pearsn betai gammln betacf probks ksone sort............. §14.3 (p.619) [func] probks kstwo sort............. §14.3 (p.619) probks laguer ............... §9.5 (p.366) lfit [funcs] . . . . . . . . . . . . . §15.4 (p.668) gaussj covsrt linbcg atimes ............ §2.7 (p.79) snrm asolve linmin mnbrak .......... §10.5 (p.412) brent f1dim [func] lnsrch [func] . . . . . . . . . . . . §9.7 (p.378) locate ............... §3.4 (p.111) lop................ §19.6 (p.879) lubksb ............... §2.3 (p.39) ludcmp ............... §2.3 (p.38) machar ............... §20.1 (p.884) maloc................ §19.6 (p.873) matadd ............... §19.6 (p.879) matsub ............... §19.6 (p.879) medfit rofunc select ........ §15.7 (p.699) memcof ............... §13.6 (p.561) metrop ran3............. §10.9 (p.443) mgfas maloc............. §19.6 (p.877) rstrct slvsm2 fill0 interp copy relax2 lop matsub IndexofProgramsandDependencies 927Sample 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 copyin g of machine- readable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes booksor CDROMs, v isit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to [email protected] (outside North Amer ica).anorm2 matadd mglin maloc............. §19.6 (p.869) rstrct slvsml fill0 interp copy relax resid fill0 addint interp midinf [func] . . . . . . . . . . . . §4.4 (p.138) midpnt [func] . . . . . . . . . . . . §4.4 (p.136) miser ranpt ran1.......... §7.8 (p.316) [func] mmid [derivs] . . . . . . . . . . . §16.3 (p.717) mnbrak [func] . . . . . . . . . . . . §10.1 (p.393) mnewt [usrfun] . . . . . . . . . . . §9.6 (p.374) ludcmp lubksb moment ............... §14.1 (p.607) mp2dfr mpops ............ §20.6 (p.913) mpdiv mpinv mpmul drealft dfour1 .. §20.6 (p.911) mpops mpmul drealft dfour1 mpops mpinv mpmul drealft dfour1 ..... §20.6 (p.911) mpops mpmul drealft dfour1 ........ §20.6 (p.910) mpops................ §20.6 (p.907) mppi mpsqrt mpmul drealft dfour1 .. §20.6 (p.913) mpops mpops mpmul drealft dfour1 mpinv mpmul drealft dfour1 mp2dfr mpops mprove lubksb ............ §2.5 (p.48) mpsqrt mpmul drealft dfour1 ..... §20.6 (p.912) mpops mrqcof [funcs] . . . . . . . . . . . . §15.5 (p.681) mrqmin mrqcof [funcs] . . . . . . . . . §15.5 (p.680) gaussj covsrt 928 IndexofProgramsandDependenciesSample 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 copyin g of machine- readable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes booksor CDROMs, v isit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to [email protected] (outside North Amer ica).newt fmin ............ §9.7 (p.379) fdjac [funcv] ludcmp lubksb lnsrch fmin [funcv] odeint [derivs] . . . . . . . . . . §16.2 (p.714) rkqs [derivs] rkck [derivs] orthog ............... §4.5 (p.153) pade ludcmp ............. §5.12 (p.196) lubksb mprove lubksb pccheb ............... §5.11 (p.193) pcshft ............... §5.10 (p.192) pearsn betai gammln ......... §14.5 (p.632) betacf period avevar ............ §13.8 (p.572) piksr2 ............... §8.1 (p.322) piksrt ............... §8.1 (p.321) pinvs................ §17.3 (p.762) plgndr ............... §6.8 (p.247) poidev ran1............. §7.3 (p.284) gammln polcoe ............... §3.5 (p.114) polcof polint ............ §3.5 (p.115) poldiv ............... §5.3 (p.169) polin2 polint ............ §3.6 (p.118) polint ............... §3.1 (p.103) powell [func] . . . . . . . . . . . . §10.5 (p.411) linmin mnbrak brent f1dim [func] predic ............... §13.6 (p.562) probks ............... §14.3 (p.620) psdes................ §7.5 (p.293) pwt................ §13.10 (p.589) pwtset ............... §13.10 (p.589) pythag ............... §2.6 (p.62) pzextr ............... §16.4 (p.724) qgaus [func] . . . . . . . . . . . . . §4.5 (p.141) qrdcmp ............... §2.10 (p.92) IndexofProgramsandDependencies 929Sample 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 copyin g of machine- readable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes booksor CDROMs, v isit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to [email protected] (outside North Amer ica).qromb trapzd [func] . . . . . . . . . §4.3 (p.134) polint qromo midpnt [func] . . . . . . . . . §4.4 (p.137) polint qroot poldiv ............ §9.5 (p.371) qrsolv rsolv ............ §2.10 (p.93) qrupdt rotate ............ §2.10 (p.94) qsimp trapzd [func] . . . . . . . . . §4.2 (p.133) qtrap trapzd [func] . . . . . . . . . §4.2 (p.131) quad3d qgaus [func] . . . . . . . . . §4.6 (p.157) [y1] [y2] [z1] [z2] quadct ............... §14.7 (p.642) quadmx wwghts kermom ........ §18.3 (p.793) quadvl ............... §14.7 (p.643) ran0................ §7.1 (p.270) ran1................ §7.1 (p.271) ran2................ §7.1 (p.272) ran3................ §7.1 (p.273) ran4 psdes ............. §7.5 (p.294) rank................ §8.4 (p.333) ranpt ran1............. §7.8 (p.318) ratint ............... §3.2 (p.106) ratlsq [fn] . . . . . . . . . . . . . §5.13 (p.200) dsvdcmp dpythag dsvbksb ratval ratval ............... §5.3 (p.170) rc................. §6.11 (p.259) rd................. §6.11 (p.257) realft four1 ............ §12.3 (p.507) rebin................ §7.8 (p.314) red................ §17.3 (p.763) relax................ §19.6 (p.872) relax2 ............... §19.6 (p.878) resid................ §19.6 (p.872) revcst ............... §10.9 (p.441) revers ............... §10.9 (p.442) rf................. §6.11 (p.257) 930 IndexofProgramsandDependenciesSample 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 copyin g of machine- readable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes booksor CDROMs, v isit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to [email protected] (outside North Amer ica).rj rc............... §6.11 (p.258) rf rk4[derivs] . . . . . . . . . . . . §16.1 (p.706) rkck [derivs] . . . . . . . . . . . §16.2 (p.713) rkdumb [derivs] . . . . . . . . . . §16.1 (p.707) rk4[derivs] rkqs rkck [derivs] . . . . . . . . §16.2 (p.712) rlft3 fourn............. §12.5 (p.522) rofunc select ............ §15.7 (p.700) rotate ............... §2.10 (p.95) rsolv................ §2.10 (p.93) rstrct ............... §19.6 (p.870) rtbis [func] . . . . . . . . . . . . . §9.1 (p.347) rtflsp [func] . . . . . . . . . . . . §9.2 (p.349) rtnewt [funcd] . . . . . . . . . . . . §9.4 (p.358) rtsafe [funcd] . . . . . . . . . . . . §9.4 (p.359) rtsec [func] . . . . . . . . . . . . . §9.2 (p.350) rzextr ............... §16.4 (p.725) savgol ludcmp ............ §14.8 (p.646) lubksb scrsho [func] . . . . . . . . . . . . §9.0 (p.342) select ............... §8.5 (p.334) selip shell............. §8.5 (p.335) sfroid plgndr ............ §17.4 (p.768) solvde difeq pinvs red bksub shell................ §8.1 (p.323) shoot [load] . . . . . . . . . . . . . §17.1 (p.750) odeint [derivs] rkqs rkck [derivs] [score] shootf [load1] . . . . . . . . . . . . §17.2 (p.752) odeint [derivs] rkqs rkck [derivs] [score] [load2] simp1................ §10.8 (p.434) simp2................ §10.8 (p.434) simp3................ §10.8 (p.435) IndexofProgramsandDependencies 931Sample 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 copyin g of machine- readable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes booksor CDROMs, v isit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to [email protected] (outside North Amer ica).simplx simp1 ............ §10.8 (p.432) simp2 simp3 simpr ludcmp ............ §16.6 (p.736) lubksb [derivs] sinft realft four1 ......... §12.3 (p.511) slvsm2 fill0 ............ §19.6 (p.878) slvsml fill0 ............ §19.6 (p.872) sncndn ............... §6.11 (p.262) snrm................ §2.7 (p.81) sobseq ............... §7.7 (p.302) solvde difeq ............ §17.3 (p.760) pinvs red bksub sor................ §19.5 (p.860) sort................ §8.2 (p.324) sort2................ §8.2 (p.326) sort3 indexx ............ §8.4 (p.332) spctrm four1 ............ §13.4 (p.550) spear sort2............. §14.6 (p.635) crank erfcc betai gammln betacf sphbes bessjy beschb chebev ..... §6.7 (p.245) sphfpt newt fdjac shootf(q.v.) .... §17.4 (p.772) lnsrch fmin shootf(q.v.) ludcmp lubksb sphoot newt fdjac shoot(q.v.)..... §17.4 (p.771) lnsrch fmin shoot(q.v.) ludcmp lubksb splie2 spline ............ §3.6 (p.121) splin2 splint ............ §3.6 (p.121) spline spline ............... §3.3 (p.109) splint ............... §3.3 (p.110) spread ............... §13.8 (p.576) 932 IndexofProgramsandDependenciesSample 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 copyin g of machine- readable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes booksor CDROMs, v isit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to [email protected] (outside North Amer ica).sprsax ............... §2.7 (p.72) sprsin ............... §2.7 (p.72) sprspm ............... §2.7 (p.75) sprstm ............... §2.7 (p.76) sprstp iindexx ............ §2.7 (p.73) sprstx ............... §2.7 (p.73) stifbs jacobn ............ §16.6 (p.737) simpr ludcmp lubksb [derivs] pzextr stiff jacobn ............ §16.6 (p.732) ludcmp lubksb [derivs] stoerm [derivs] . . . . . . . . . . §16.5 (p.726) svbksb ............... §2.6 (p.56) svdcmp pythag ............ §2.6 (p.59) svdfit [funcs] . . . . . . . . . . . . §15.4 (p.672) svdcmp pythag svbksb svdvar ............... §15.4 (p.673) toeplz ............... §2.8 (p.88) tptest avevar ............ §14.2 (p.612) betai gammln betacf tqli pythag ............. §11.3 (p.473) trapzd [func] . . . . . . . . . . . . §4.2 (p.131) tred2................ §11.2 (p.467) tridag ............... §2.4 (p.43) trncst ............... §10.9 (p.442) trnspt ............... §10.9 (p.442) ttest avevar ............ §14.2 (p.610) betai gammln betacf tutest avevar ............ §14.2 (p.611) betai gammln betacf twofft four1 ............ §12.3 (p.505) vander ............... §2.8 (p.84) IndexofProgramsandDependencies 933Sample 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 copyin g of machine- readable files (including this one) to any servercomputer, is strictly prohibited. To order Numerical Recipes booksor CDROMs, v isit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to [email protected] (outside North Amer ica).vegas rebin............. §7.8 (p.311) ran2 [fxn] voltra [ g ] ............. §18.2 (p.787) [ak] ludcmp lubksb wt1 daub4 ............. §13.10 (p.587) wtn daub4 ............. §13.10 (p.595) wwghts kermom ............ §18.3 (p.791) zbrac [func] . . . . . . . . . . . . . §9.1 (p.345) zbrak [func] . . . . . . . . . . . . . §9.1 (p.345) zbrent [func] . . . . . . . . . . . . §9.3 (p.354) zrhqr balanc ............ §9.5 (p.368) hqr zriddr [func] . . . . . . . . . . . . §9.2 (p.351) zroots laguer ............ §9.5 (p.367)