?? secant.m
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function [p1,err,k,y]=secant(f,p0,p1,delta,epsilon,max1)%Input - f is the object function input as a string 'f'% - p0 and p1 are the initial approximations to a zero of f % - delta is the tolerance for p1% - epsilon is the tolerance for the function values y% - max1 is the maximum number of iterations%Output - p1 is the secant method approximation to the zero% - err is the error estimate for p1% - k is the number of iterations% - y is the function value f(p1)% NUMERICAL METHODS: Matlab Programs% (c) 2004 by John H. Mathews and Kurtis D. Fink% Complementary Software to accompany the textbook:% NUMERICAL METHODS: Using Matlab, Fourth Edition% ISBN: 0-13-065248-2% Prentice-Hall Pub. Inc.% One Lake Street% Upper Saddle River, NJ 07458for k=1:max1 p2=p1-feval(f,p1)*(p1-p0)/(feval(f,p1)-feval(f,p0)); err=abs(p2-p1); relerr=2*err/(abs(p2)+delta); p0=p1; p1=p2; y=feval(f,p1); if (err<delta)|(relerr<delta)|(abs(y)<epsilon),break,endend
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