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×îС¶þ³ËÎÊÌ⣺ ·ÇÏßÐÔ×îС¶þ³ËÎÊÌ⣺minf^2 ÆäÖУ¬ f=[x1+10*x2;sqrt(5)*(x3-x4);(x2-2*x3)^2;sqrt(10)*(x1-x4)^2];x0=[3,-1,0,1] ³ÌÐòÈçÏ£¬¿ÉÒÔÇóµ¥±äÁ¿£¬Ôõô¶¨Òåx=[x1,x2,x3,x4],Çó½âÄØ£¿ Çë¸ßÊÖÖ¸½Ì function fv = Funval( f,varec,varval ) %UNTITLED Summary of this function goes here % Detailed explanation goes here tic; var = findsym(f); varc = findsym(varec); s1=length(var); s2=length(varc); m=floor((s1-1)/3+1); varv=zeros(1,m); if s1~=s2 for i=0 (s1-1)/3)k=findstr(varc,var(3*i+1)); index=(k-1)/3; varv(i+1)=varval(index+1); end fv=subs(f,var,varv); else fv=subs(f,varec,varval); end end x=[x1,x2,x3,x4]; function [x,minf]= minGN(f,x0,var,eps)%Ä¿±êº¯Êý;f;³õʼµã:x0£¬×Ô±äÁ¿ÏòÁ¿;var, %¾«¶È£ºeps£¬Ä¿±êº¯Êý×îСֵʱµÄxÒÔ¼°Ä¿±êº¯Êý×îСֵ format long; if nargin==4 eps=1.0e-5; end S=transpose(f)*f; k=length(f); n=length(x0); x0=transpose(x0); tol=1; A=jacobian(f,var); while tol>eps Fx=zeros(k,1); for i=1:k Fx(i,1)=Funval(f(i),var,x0); end Sx=Funval(S,var,x0); Ax=Funval(A,var,x0); gSx=transpose(Ax)*Fx; dx=-transpose(Ax)*Fx; x0=x0+dx; tol=norm(dx); end x=x0; minf=Funval(S,var,x); format short; toc; Iterations; end |
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