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njutsjh

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[ÇóÖú] ¹ØÓÚÓÃBroyden·¨½â·ÇÏßÐÔ·½³Ì×éµÄÎÊÌâ ÒÑÓÐ1È˲ÎÓë

ÎÒÓÃBroyden·¨½â·ÇÏßÐÔ·½³Ì×éµÄʱºò£¬MatlabÐèÒª¼ÆËãºÜ³¤Ê±¼ä²ÅÄܳö½á¹û£¬ÊDz»ÊÇ´úÂëÓв»ºÏÀíµÄµØ·½£¬¸ÃÔõôÐ޸ģ¬Ð»Ð»´ó¼Ò£¡
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function =Broyden(func,u,TOL,m)
% Ó¦ÓÃBroyden·½·¨Çó·ÇÏßÐÔ·½³Ì×é·¨f(x)=0¡£
% funcΪ´ýÇó½âµÄ·ÇÏßÐÔ·½³Ì×é¡£
% uΪ³õʼ½üËÆÏòÁ¿¡£
% TOLΪÎó²îÈÝÏÞ¡£
% mΪ×î´óµü´ú´ÎÊý¡£
N=size(func);
n=N(1);
var=findsym(func);
A=subs(jacobian(func),var,u);
v=subs(func,var,u);
H=inv(A);
s=-H*v;
u=u+s;
for k=1:m
    w=v;
    v=subs(func,var,u);
    y=v-w;
    z=-H*y;
    p=-s'*z;
    if(p==0)
        disp('Method failed!');
        return;
    end
    C=p*eye(n)+(s+z)*s';
    H=C*H/p;
    s=-H*v;
    u=u+s;
    disp(vpa(u',6));
    if(max(abs(s))<TOL)
        break;
    end
end
u=vpa(u,6);
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feixiaolin

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2Â¥2015-01-08 09:43:57
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mathstudy

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