📄 osb1.m
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function [fvec,J] = osb1(n,m,x,option)% *******************************************************% function [fvec,J] = osb1(n,m,x,option)% Osborne 1 function [17]% Dimensions: n=5 , m=33% Function Definition:% f(x)=y(i)-(x1+x2*exp[-t(i)x4]+x3*exp[-t(i)x5])% where t(i)=10(i-1)% Standard starting point: (0.5,1.5,-1,0.01,0.02)% Minima of f=5.46489...10^(-5)% at (.3754,1.9358,-1.4647,0.01287,0.02212)%% Revised 11/94 PLK% ******************************************************* global FIRSTIME y; x1 = x(1); x2 = x(2); x3 = x(3); x4 = x(4); x5 = x(5);if (FIRSTIME) y( 1) = 0.844d0; y( 2) = 0.908d0; y( 3) = 0.932d0; y( 4) = 0.936d0; y( 5) = 0.925d0; y( 6) = 0.908d0; y( 7) = 0.881d0; y( 8) = 0.850d0; y( 9) = 0.818d0; y(10) = 0.784d0; y(11) = 0.751d0; y(12) = 0.718d0; y(13) = 0.685d0; y(14) = 0.658d0; y(15) = 0.628d0; y(16) = 0.603d0; y(17) = 0.580d0; y(18) = 0.558d0; y(19) = 0.538d0; y(20) = 0.522d0; y(21) = 0.506d0; y(22) = 0.490d0; y(23) = 0.478d0; y(24) = 0.467d0; y(25) = 0.457d0; y(26) = 0.448d0; y(27) = 0.438d0; y(28) = 0.431d0; y(29) = 0.424d0; y(30) = 0.420d0; y(31) = 0.414d0; y(32) = 0.411d0; y(33) = 0.406d0; y = y'; FIRSTIME=0;end; im1 = 0.0d0; for i = 1: m ti = im1*10.d0; e4 = exp(-ti*x4); e5 = exp(-ti*x5); t2 = x2*e4; t3 = x3*e5; if (option==1 | option==3) fvec(i) = (x1 + t2 + t3) - y(i); end if (option ==2 | option ==3) J( i, 1) = 1.d0; J( i, 2) = e4; J( i, 3) = e5; J( i, 4) = -ti*t2; J( i, 5) = -ti*t3; end im1 = i; end fvec = fvec';% x0 = [.5,1.5,-1,.01,.02]';%
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