dirder.m

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function z = dirder(x,w,f,f0)% Finite difference directional derivative% Approximate f'(x) w% % C. T. Kelley, November 25, 1993%% This code comes with no guarantee or warranty of any kind.%% function z = dirder(x,w,f,f0)%% inputs:%           x, w = point and direction%           f = function%           f0 = f(x), in nonlinear iterations%                f(x) has usually been computed%                before the call to dirder%% Hardwired difference increment.epsnew=1.d-7;%n=length(x);%% scale the step%if norm(w) == 0    z=zeros(n,1);returnendepsnew = epsnew/norm(w);if norm(x) > 0    epsnew=epsnew*norm(x);end%% del and f1 could share the same space if storage% is more important than clarity%del=x+epsnew*w;f1=feval(f,del);z = (f1 - f0)/epsnew;

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