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litsmile88

铜虫 (初入文坛)

[求助] 关于用lstopt进行非线性最小二乘法回归问题

用Lstopt编辑了一个程序,想以该函数最小值作为条件,求解其中μi和θi的值,
程序见图1;但是得到的结果(见图2)μ1~μ5的值都相同,θ1~θ15的值也是这样,是否是程序编写有问题?


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litsmile88

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引用回帖:
1楼: Originally posted by litsmile88 at 2011-09-16 09:29:13:
用Lstopt编辑了一个程序,想以该函数最小值作为条件,求解其中μi和θi的值,
程序见图1;但是得到的结果(见图2)μ1~μ5的值都相同,θ1~θ15的值也是这样,是否是程序编写有问题?
[eimg]e1/3d/1276011_13161 ...

是lstopt,
程序如下:
Title "Type your title here";
Constant m=28,n=5;
Constant x(1:28)=[0.628,0.812,1.048,1.354,1.748,2.258,2.916,3.767,4.865,6.283,8.115,10.48,
                 13.54,17.48,22.58,29.16,37.67,48.65,62.83,81.15,104.8,135.4,174.8,225.8,290.5,373.5,486.5,628.3];
Constant y(1:28)=[0.01087,0.01709,0.02279,0.03473,0.05053,0.07569,0.122,0.166,0.259,0.475,
                 0.705,1.124,1.979,3.031,4.79,7.002,11.81,16.67,23.07,46.3,83.47,153.5,273,512.9,995,2477.2,3378.8,16915];
Constant z(1:28)=[2.046,2.582,3.318,4.256,5.493,7.116,9.18,11.91,15.49,20.23,26.14,33.93,44.31,
                 57.58,74.83,96.39,131.7,163.4,209.5,271.5,353,470.9,567.1,568.2,806.6,2979,2723.4,7026];
Parameters u(1:5), o(1:5);
MinFunction  sum(j=1:m)(sum(i=1:n)((1/y[j]*u*x[j]^2*o^2/(1+x[j]^2*o^2)-1)^2)
                       +sum(i=1:n)((1/z[j]*u*x[j]*o/(1+x[j]^2*o^2)-1)^2));
请问您说的代码问题是什么意思?能具体些吗?谢谢~~
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3楼2011-09-16 15:26:00
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dingd

铁杆木虫 (职业作家)

【答案】应助回帖

1:应该是1stOpt而不是LstOpt吧?
2:代码好像不对,最好贴出文本格式。
2楼2011-09-16 15:02:06
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dingd

铁杆木虫 (职业作家)

【答案】应助回帖

把要拟合的公式单独给出来,注明自变量、因变量、待求参数。
4楼2011-09-16 20:08:57
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litsmile88

铜虫 (初入文坛)

引用回帖:
4楼: Originally posted by dingd at 2011-09-16 20:08:57:
把要拟合的公式单独给出来,注明自变量、因变量、待求参数。

可是这个是回归呀,要求函数最小值,不是拟合
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5楼2011-09-17 13:52:14
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