Computer Programs by Chapter and Section 1.0 flmoon calculate phases of the moon by date 1.1 julday Julian Day number from calendar date 1.1 badluk Friday the 13th when the moon is full 1.1 caldat calendar date from Julian day number 物经经分 Sample page 2.1 gaussj Gauss-Jordan matrix inversion and linear equation solution 2.3 ludcmp linear equation solution,LU decomposition 2.3 lubksb linear equation solution,backsubstitution 2.4 tridag solution of tridiagonal systems 2.4 banmul multiply vector by band diagonal matrix 2.4 bandec band diagonal systems.decomposition 2.4 banbks band diagonal systems,backsubstitution 2.5 mprove linear equation solution,iterative improvement 2.6 svbksb singular value backsubstitution 2.6 svdcmp singular value decomposition of a matrix 2.6 pythag calculate (a2+b2)1/2 without overflow Permission is granted for interet users to make one paper copy for their 2.7 cyclic solution of cyclic tridiagonal systems 2.7 sprsin convert matrix to sparse format 2.7 sprsax product of sparse matrix and vector 2.7 sprstx product of transpose sparse matrix and vector 2.7 sprstp transpose of sparse matrix 2.7 sprspm pattern multiply two sparse matrices 2.7 sprstm threshold multiply two sparse matrices 2.7 linbcg biconjugate gradient solution of sparse systems 2.7 snrm used by linbcg for vector norm 2.7 atimes used by linbcg for sparse multiplication 2.7 asolve used by linbcg for preconditioner 2.8 vander solve Vandermonde systems 2.8 toeplz solve Toeplitz systems http://ww.nr.com or call 1-800-872-7423(North America only),orsend email to directcustserv@cambridge.org(outside North America). 2.9 choldc Cholesky decomposition Copyright(C)1988-1992 by Numerical Recipes Software. 2.9 cholsl Cholesky backsubstitution 2.10 qrdcmp QR decomposition 2.10 qrsolv OR backsubstitution 2.10 rsolv right triangular backsubstitution 2.10 qrupdt update a OR decomposition 2.10 rotate Jacobi rotation used by qrupdt 3.1 polint polynomial interpolation 3.2 ratint rational function interpolation 3.3 spline construct a cubic spline 3.3 splint cubic spline interpolation 3.4 locate search an ordered table by bisection XIXPermission is granted for internet users to make one paper copy for their own personal use. Further reproduction, or any copyin Copyright (C) 1988-1992 by Cambridge University Press. Programs Copyright (C) 1988-1992 by Numerical Recipes Software. Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5) g of machine￾readable files (including this one) to any server computer, is strictly prohibited. To order Numerical Recipes books or CDROMs, visit website http://www.nr.com or call 1-800-872-7423 (North America only), or send email to directcustserv@cambridge.org (outside North America). Computer Programs by Chapter and Section 1.0 flmoon calculate phases of the moon by date 1.1 julday Julian Day number from calendar date 1.1 badluk Friday the 13th when the moon is full 1.1 caldat calendar date from Julian day number 2.1 gaussj Gauss-Jordan matrix inversion and linear equation solution 2.3 ludcmp linear equation solution, LU decomposition 2.3 lubksb linear equation solution, backsubstitution 2.4 tridag solution of tridiagonal systems 2.4 banmul multiply vector by band diagonal matrix 2.4 bandec band diagonal systems, decomposition 2.4 banbks band diagonal systems, backsubstitution 2.5 mprove linear equation solution, iterative improvement 2.6 svbksb singular value backsubstitution 2.6 svdcmp singular value decomposition of a matrix 2.6 pythag calculate (a2 + b2)1/2 without overflow 2.7 cyclic solution of cyclic tridiagonal systems 2.7 sprsin convert matrix to sparse format 2.7 sprsax product of sparse matrix and vector 2.7 sprstx product of transpose sparse matrix and vector 2.7 sprstp transpose of sparse matrix 2.7 sprspm pattern multiply two sparse matrices 2.7 sprstm threshold multiply two sparse matrices 2.7 linbcg biconjugate gradient solution of sparse systems 2.7 snrm used by linbcg for vector norm 2.7 atimes used by linbcg for sparse multiplication 2.7 asolve used by linbcg for preconditioner 2.8 vander solve Vandermonde systems 2.8 toeplz solve Toeplitz systems 2.9 choldc Cholesky decomposition 2.9 cholsl Cholesky backsubstitution 2.10 qrdcmp QR decomposition 2.10 qrsolv QR backsubstitution 2.10 rsolv right triangular backsubstitution 2.10 qrupdt update a QR decomposition 2.10 rotate Jacobi rotation used by qrupdt 3.1 polint polynomial interpolation 3.2 ratint rational function interpolation 3.3 spline construct a cubic spline 3.3 splint cubic spline interpolation 3.4 locate search an ordered table by bisection xix