syms f x1 x2 f=(1/2)*x1^2+x2^2; x=[2;1]; a=[1 0;0 2];% A g1=diff(f,x1); g2=diff(f,x2); g=[g1;g2];%导数 % x1 g11=subs(g1,{x1,x2},{x(1) x(2)}); g22=subs(g2,{x1,x2},{x(1) x(2)}); g=[g11;g22] d=-g; d11=subs(d(1),{x1,x2},{x(1) x(2)}); d22=subs(d(2),{x1,x2},{x(1) x(2)}); d=[d11;d22] af=(-g\'*d)/(d\'*a*d) x=x+af*d g11=subs(g1,{x1,x2},{x(1) x(2)}); g22=subs(g2,{x1,x2},{x(1) x(2)}); g=[g11;g22] % x1 e=0.1;%精度 %共轭梯度 for i=1:2 if g==0 disp(\'x\') x break else b=(g\'*a*d)/(d\'*a*d)%β d=-g+b*d; d11=subs(d(1),{x1,x2},{x(1) x(2)}); d22=subs(d(2),{x1,x2},{x(1) x(2)}); d=[d11;d22] af=(-g\'*d)/(d\'*a*d)%步长α x=x+af*d g11=subs(g1,{x1,x2},{x(1) x(2)}); g22=subs(g2,{x1,x2},{x(1) x(2)}); g=[g11;g22] end end
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