Computer Programs by Chapter and Section XXV 15.2 fit least-squares fit data to a straight line 15.3 fitexy fit data to a straight line,errors in both x and y 15.3 chixy used by fitexy to calculate a x2 15.4 lfit general linear least-squares fit by normal equations 15.4 covsrt rearrange covariance matrix,used by lfit 15.4 svdfit linear least-squares fit by singular value decomposition 15.4 svdvar variances from singular value decomposition 15.4 fpoly fit a polynomial using lfit or svdfit 15.4 fleg fit a Legendre polynomial using lfit or svdfit http://www.nr. Copyright (C) Sample page 15.5 mrqmin nonlinear least-squares fit,Marquardt's method 15.5 mrqcof used by mrqmin to evaluate coefficients 83 15.5 fgauss fit a sum of Gaussians using mrqmin 15.7 medfit fit data to a straight line robustly,least absolute deviation 15.7 fit data robustly,used by medfit 11-800 (including this one) granted for 19881992 rofunc 872 16.1 rk4 integrate one step of ODEs,fourth-order Runge-Kutta from NUMERICAL RECIPES IN 16.1 rkdumb integrate ODEs by fourth-order Runge-Kutta 16.2 rkqs integrate one step of ODEs with accuracy monitoring 16.2 rkck Cash-Karp-Runge-Kutta step used by rkqs 16.2 integrate ODEs with accuracy monitoring to any server computer, odeint (North America tusers to make one paper THE 16.3 mmid integrate ODEs by modified midpoint method by Cambridge University Press.Programs ART 16.4 bsstep integrate ODEs,Bulirsch-Stoer step 是 16.4 pzextr polynomial extrapolation,used by bsstep 16.4 rzextr rational function extrapolation,used by bsstep send copy for their 16.5 stoerm integrate conservative second-order ODEs strictly prohibited. 16.6 stiff integrate stiff ODEs by fourth-order Rosenbrock email Copyright(C) 16.6 jacobn sample Jacobian routine for stiff 16.6 derivs sample derivatives routine for stiff To order 16.6 simpr integrate stiff ODEs by semi-implicit midpoint rule 16.6 stifbs integrate stiff ODEs,Bulirsch-Stoer step OF SCIENTIFIC COMPUTING (ISBN 0-521 17.1 shoot solve two point boundary value problem by shooting v@cambri 17.2 shootf ditto,by shooting to a fitting point 17.3 solvde two point boundary value problem,solve by relaxation 1988-1992 by Numerical Recipes 17.3 1-431085 bksub backsubstitution,used by solvde 17.3 pinvs diagonalize a sub-block,used by solvde 17.3 red reduce columns of a matrix.used by solvde 17.4 sfroid spheroidal functions by method of solvde Software. 17.4 difeq spheroidal matrix coefficients,used by sfroid 17.4 spheroidal functions by method of shoot (outside North America) sphoot 17.4 sphfpt spheroidal functions by method of shootf ying of machine visit website 18.1 fred2 solve linear Fredholm equations of the second kind 18.1 fredin interpolate solutions obtained with fred2 18.2 voltra linear Volterra equations of the second kind 183 wwghts quadrature weights for an arbitrarily singular kernel 18.3 kermom sample routine for moments of a singular kernelComputer Programs by Chapter and Section xxv Permission 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). 15.2 fit least-squares fit data to a straight line 15.3 fitexy fit data to a straight line, errors in both x and y 15.3 chixy used by fitexy to calculate a χ2 15.4 lfit general linear least-squares fit by normal equations 15.4 covsrt rearrange covariance matrix, used by lfit 15.4 svdfit linear least-squares fit by singular value decomposition 15.4 svdvar variances from singular value decomposition 15.4 fpoly fit a polynomial using lfit or svdfit 15.4 fleg fit a Legendre polynomial using lfit or svdfit 15.5 mrqmin nonlinear least-squares fit, Marquardt’s method 15.5 mrqcof used by mrqmin to evaluate coefficients 15.5 fgauss fit a sum of Gaussians using mrqmin 15.7 medfit fit data to a straight line robustly, least absolute deviation 15.7 rofunc fit data robustly, used by medfit 16.1 rk4 integrate one step of ODEs, fourth-order Runge-Kutta 16.1 rkdumb integrate ODEs by fourth-order Runge-Kutta 16.2 rkqs integrate one step of ODEs with accuracy monitoring 16.2 rkck Cash-Karp-Runge-Kutta step used by rkqs 16.2 odeint integrate ODEs with accuracy monitoring 16.3 mmid integrate ODEs by modified midpoint method 16.4 bsstep integrate ODEs, Bulirsch-Stoer step 16.4 pzextr polynomial extrapolation, used by bsstep 16.4 rzextr rational function extrapolation, used by bsstep 16.5 stoerm integrate conservative second-order ODEs 16.6 stiff integrate stiff ODEs by fourth-order Rosenbrock 16.6 jacobn sample Jacobian routine for stiff 16.6 derivs sample derivatives routine for stiff 16.6 simpr integrate stiff ODEs by semi-implicit midpoint rule 16.6 stifbs integrate stiff ODEs, Bulirsch-Stoer step 17.1 shoot solve two point boundary value problem by shooting 17.2 shootf ditto, by shooting to a fitting point 17.3 solvde two point boundary value problem, solve by relaxation 17.3 bksub backsubstitution, used by solvde 17.3 pinvs diagonalize a sub-block, used by solvde 17.3 red reduce columns of a matrix, used by solvde 17.4 sfroid spheroidal functions by method of solvde 17.4 difeq spheroidal matrix coefficients, used by sfroid 17.4 sphoot spheroidal functions by method of shoot 17.4 sphfpt spheroidal functions by method of shootf 18.1 fred2 solve linear Fredholm equations of the second kind 18.1 fredin interpolate solutions obtained with fred2 18.2 voltra linear Volterra equations of the second kind 18.3 wwghts quadrature weights for an arbitrarily singular kernel 18.3 kermom sample routine for moments of a singular kernel