Response and Simulation in Matlab
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Matlab program is under
clear all; format long e; % Solution de l'exercice 2.7 x0=1; y0=1; g0=x0^3-3*x0*y0^2-2*x0+2; h0=3*x0^2*y0-y0^3-2*y0; dgx0=3*x0^2-3*y0^2-2; dgy0=-6*x0*y0; dhx0=6*x0*y0; dhy0=3*x0^2-3*y0^2-2; J0=dgx0*dhy0-dhx0*dgy0; eta=1.e-12; critere=abs(g0)+abs(h0); n=0; while critere>eta n=n+1; % if J0~=0 x1=x0-(g0*dhy0-h0*dgy0)/J0; y1=y0-(h0*dgx0-g0*dhx0)/J0; x0=x1; y0=y1; dgx0=3*x0^2-3*y0^2-2; dgy0=-6*x0*y0; dhx0=6*x0*y0; dhy0=3*x0^2-3*y0^2-2; J0=dgx0*dhy0-dhx0*dgy0; g0=x0^3-3*x0*y0^2-2*x0+2; h0=3*x0^2*y0-y0^3-2*y0; critere=abs(g0)+abs(h0); % else % dispaly('Le jacobien prend la valeur 0! ') % break % end end solution=[x0; y0] iteration=n
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