📄 gauss.m
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function [fvec,J] = gauss(n,m,x,opt)% ****************************************************% ****************************************************% function [fvec, J] =gauss(n,m,x,opt)% Gaussian function [9] % Dimensions n=3, m=15% Function definition:% f(x)= x(1) exp[-x(2)*[(t(i)-x(3)]^2 / 2]-y(i)% where t(i) = (8-i)/2% Standard starting point at x=(0.4,1,0)% Minima of f=1.12793...10^(-8)%% Revised 10/23/94 PLK% ****************************************************y = [.0009 .0044 .0175 .0540 .1295 .2420 .3521 .3989 .3521 .2420 .1295 .0540 .0175 .0044 .0009 0 ]' ;J=zeros(m,n);for i = 1:m t(i) = (8 - i)/2; if (opt ==1) | (opt == 3) fvec(i) = x(1)*exp((-x(2)*((t(i)-x(3))^2))/2)-y(i) ; end; if (opt ==2) | (opt == 3) J(i,1) = exp((-x(2)*((t(i)-x(3))^2))/2); J(i,2) = x(1)*((-((t(i)-x(3))^2))/2)*exp((-x(2)*((t(i)-x(3))^2))/2); J(i,3) = x(1)*x(2)*(t(i)-x(3))*exp((-x(2)*((t(i)-x(3))^2))/2); end; end;fvec=fvec'; if ((opt<1) | (opt >3)) disp('Error: Option value sent to GAUSS.M is either <1 or >3');end;
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