Multi Objective nonlinear functions with unknown multi parameters

1 次查看（过去 30 天）

显示更早的评论

SN MJTHD 2019-7-22

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/472920-multi-objective-nonlinear-functions-with-unknown-multi-parameters

回答： Alex Sha 2019-8-28

Dear Matlabers,

Lets say my system of equations are as below:

((1-x(1))*(10+x(5)))^2/(((x(1)^2)*x(3)^2)+((1-x(1))^2*x(2)^2)) = 0.154;

((1-x(1))*(10-x(5)))^2/(((x(1)^2)*x(3)^2)+((1-x(1))^2*x(2)^2)) = 0.254;

(x(1)*(10+x(4)))^2/(((x(1)^2)*x(3)^2)+((1-x(1))^2*x(2)^2)) = 0.545;

(x(1)*(10-x(4)))^2/(((x(1)^2)*x(3)^2)+((1-x(1))^2*x(2)^2)) = 0.034;

(10+(x(1)*x(4))+(1-x(1))*x(5))^2/(((x(1)^2)*x(3)^2)+((1-x(1))^2*x(2)^2)) = 0.994;

(10-(x(1)*x(4))-(1-x(1))*x(5))^2/(((x(1)^2)*x(3)^2)+((1-x(1))^2*x(2)^2)) = 0.063;

and I want to find x(1) ... x(5) values so that the equalities hold.

I already tried so many optimization methods but the problem is, after finding the values when I replace them with x values the error values I came across are very large.

Any help is appreciated..

Best,

10 个评论
显示 8更早的评论隐藏 8更早的评论

Torsten 2019-7-23

lsqnonlin is especially designed to solve problems like yours, but you are of course free in the choice of the optimizer.

SN MJTHD 2019-7-23

Thank you for your time and your effort.

Best

请先登录，再进行评论。

请先登录，再回答此问题。

回答（1 个）

Alex Sha 2019-8-28

0
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/472920-multi-objective-nonlinear-functions-with-unknown-multi-parameters#answer_389398

There are multi-solutions:

x1: 0.387245311047365

x2: -0.00972723068513297

x3: -40.2902696169456

x4: 18.9579782048437

x5: -2.65707955299356

x1: 0.387245311627332

x2: 7.2906925850934

x3: 38.6033440479639

x4: 18.9579781524691

x5: -2.65707955385685

x1: 0.387245311366753

x2: -24.1738267443381

x3: 12.6548907569997

x4: 18.9579781707223

x5: -2.65707955330091

0 个评论
显示 -2更早的评论隐藏 -2更早的评论

请先登录，再进行评论。

请先登录，再回答此问题。

类别

Mathematics and Optimization Optimization Toolbox Systems of Nonlinear Equations

在 Help Center 和 File Exchange 中查找有关 Systems of Nonlinear Equations 的更多信息

产品

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by