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city007

木虫 (知名作家)

[求助] matlab 求解非线性方程 解出虚数解

fun=@(N)([ N(1)+N(2)+N(3)+N(4)+N(5)+N(6)-1,...
           log(N(1))/75930-log(N(2))/62806-0.0269,...
           log(N(2))/62806-log(N(3))/77365-0.0078,...
           log(N(3))/77365-log(N(4))/53118-0.0018,...
           log(N(4))/53118-log(N(5))/85710+0.0393,...
           log(N(5))/85710-log(N(6))/82740-0.0165]);
[f,fval]=fsolve(fun,[0.2501,0.3685,0.0174,0.0574,0.1633,0.1433],optimset('display','iter'));
运行后得出
Optimizer appears to be converging to a point which is not a root.
Norm of relative change in X is less than max(options.TolX^2,eps) but
sum-of-squares of function values is greater than or equal to sqrt(options.TolFun)
Try again with a new starting guess.
求能解此非线性方程的方法
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dingd

铁杆木虫 (职业作家)

【答案】应助回帖

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感谢参与,应助指数 +1
csgt0: 金币+2, 谢谢 2012-12-24 11:12:39
city007: 金币+5, 有帮助 2013-01-03 01:56:54
实数解(无精确解):
n1: 0.341396457395975
n2: 4.94065645841247E-324
n3: 4.94065645841247E-324
n4: 4.94065645841247E-324
n5: 0.658604123429932
n6: 4.94065645841247E-324

似乎不论实数还是虚数都无精确解。
2楼2012-12-22 14:07:28
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