lsqnonlin for 2 independent variables

Question

dhlee 2021-8-29

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1442649-lsqnonlin-for-2-independent-variables

回答： Rik 2021-8-29

采纳的回答： Rik

I want to find 2 variables(x,y -> complex number) with lsqnonlin function.

For example, I have 2 equations and 2 variable DATA.

Please check and advise my code. Thank you~

<DATA>

S11=1+i;

S21=2+2i;

1) S11=x*y+i*(x+y)

2) S21=x*y-i*(x^2+y^2)

---------------------

clear all;

clc;

close all;

S11=1+i;

S21=2+2i;

x0=0.1+0.1i;

y0=0.2+0.2i;

F = @(x) myfun_lsq(x,y,S11,S21)

x=lsqnonlin(F,x0)

y=lsqnonlin(F,y0)

function F = myfun_lsq(x,y,S11,S21)

Fc1=x*y+i*(x*y)-S11;

Fc2=x*y-i*(x^2+y^2)-S21;

F = [Fc1, Fc2];

end

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Answer 1

Rik 2021-8-29

0
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1442649-lsqnonlin-for-2-independent-variables#answer_776324

You should merge x and y to a single variable (i.e. a 2 element vector). That way you can do this with a single call to lsqnonlin.

And you should remove that clc, clear all, close all. You don't need it and using it is a clear indication you don't know what you want to happen. Are you opening any figures? Do you really want to reduce the performance of several functions by wiping the optimization from memory with clear all?