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[ÇóÖú] fsolve½â·½³Ì×éÓÐÎÊÌâ ÒÑÓÐ2È˲ÎÓë

function ChemEqui
x0=[1,1,1,1,1,1,1,1,1,1];
x=fsolve(@equi,x0);
function f=equi(x)
f1=(x(1)-x(2))*(1-x(1)-x(3)+x(2)+x(4)+x(6)+x(7))-0.959313*(1-2*x(1)-x(3))^2;
f2=(x(2)-x(3))*(x(2)+x(4)+x(7))-1.003773*(x(1)-x(2))*(1-x(1)-x(3)+x(2)+x(4)+x(6)+x(7));
f3=(x(3)-x(4))*(1-x(1)-x(3)+x(2)+x(4)+x(6)+x(7))-0.964235*(x(2)-x(3))*(1-2*x(1)-x(3));
f4=(x(2)+x(4)+x(7))*(x(4)-x(5))-0.994909*(x(3)-x(4))*(1-x(1)-x(3)+x(2)+x(4)+x(6)+x(7));
f5=x(5)-x(6)-x(7)-1.002046*(x(4)-x(5));
f6=(x(6)-2*x(8))*x(6)-1.052621*(x(5)-x(6)-x(7))*(1-x(1)-x(3)+x(2)+x(4)+x(6)+x(7));
f7=x(7)*(x(2)+x(4)+x(7))-1.043431*(x(5)-x(6)-x(7))*(1-x(1)-x(3)+x(2)+x(4)+x(6)+x(7));
f8=x(8)^2-0.988734*(x(6)-2*x(8))^2;
f=[f1 f2 f3 f4 f5 f6 f7 f8];

ÉÏÃæµÄдµÄ£¬¼ÆËã³öÀ´ºóÓо¯¸æTrust-region-dogleg algorithm of FSOLVE cannot handle non-square systems; using Levenberg-Marquardt algorithm instead.   ÇëÎÊÒ»ÏÂʲôÇé¿ö
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jjdg: ½ð±Ò+1, ¸Ðл²ÎÓë 2017-07-08 17:25:55
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https://cn.mathworks.com/help/optim/ug/fsolve.html
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2Â¥2017-07-08 12:32:31
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Matlabר¼Ò

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jjdg: ½ð±Ò+1, ¸Ðл²ÎÓë 2017-07-09 11:32:18
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3Â¥2017-07-08 21:45:09
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dingd

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jjdg: ½ð±Ò+2, ¸Ðл²ÎÓë 2017-07-09 11:32:28
1stOptÇó½â£º
CODE:
Parameter x(8);
Function
(x(1)-x(2))*(1-x(1)-x(3)+x(2)+x(4)+x(6)+x(7))-0.959313*(1-2*x(1)-x(3))^2;
(x(2)-x(3))*(x(2)+x(4)+x(7))-1.003773*(x(1)-x(2))*(1-x(1)-x(3)+x(2)+x(4)+x(6)+x(7));
(x(3)-x(4))*(1-x(1)-x(3)+x(2)+x(4)+x(6)+x(7))-0.964235*(x(2)-x(3))*(1-2*x(1)-x(3));
(x(2)+x(4)+x(7))*(x(4)-x(5))-0.994909*(x(3)-x(4))*(1-x(1)-x(3)+x(2)+x(4)+x(6)+x(7));
x(5)-x(6)-x(7)-1.002046*(x(4)-x(5));
(x(6)-2*x(8))*x(6)-1.052621*(x(5)-x(6)-x(7))*(1-x(1)-x(3)+x(2)+x(4)+x(6)+x(7));
x(7)*(x(2)+x(4)+x(7))-1.043431*(x(5)-x(6)-x(7))*(1-x(1)-x(3)+x(2)+x(4)+x(6)+x(7));
x(8)^2-0.988734*(x(6)-2*x(8))^2;

x1: -5.49608040273917E-17
x2: 1.80094386556405E-22
x3: 1
x4: -5.06683228281383E-22
x5: 7.04504319547718E-23
x6: 2.921739051712E-22
x7: 1.98623664044073E-22
x8: 1.53554561331567E-13

x3=1£¬ÆäËü¾ùΪ0¼´Îª×îºÃ½â¡£
4Â¥2017-07-09 09:50:31
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