How to tune matrices to specific output?

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Ali Almakhmari 2023-9-26

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https://ww2.mathworks.cn/matlabcentral/answers/2025767-how-to-tune-matrices-to-specific-output

评论： Sam Chak 2023-9-26

Hey guys. So I have four matrices that are each 8 by 8: matrix P, matrix Q, matrix R, and matrix G. I have a certain algorithm (I wont go in to too much details about it because its too complicated with multiple files) that depends on those four matrices and uses them to output a single column of values for me. I also have what I call the perfect output, which is what I desire the output single column to look like. Now my question is: How can I use MATLAB to tune those 4 matrices in order for the output column to match the perfect output column?

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Ali Almakhmari 2023-9-26

The length of the output is 314.

Sam Chak 2023-9-26

在 MATLAB Online 中打开

The code is looking good. 👍

% Initialize P, Q, R, G
P = [0.5 2.5; 3.5 1.5];
Q = P;
R = Q;
G = R;
perfectoutput = [1; 81; 256; 16];
x0 = cat(3, P, Q, R, G);
lsqnonlin(@(x) computeOutput(x(:,:,1), x(:,:,2), x(:,:,3), x(:,:,4)) - perfectoutput, x0)
Warning: Trust-region-reflective algorithm requires at least as many equations as variables; using Levenberg-Marquardt algorithm instead.
Local minimum found.

Optimization completed because the size of the gradient is less than
1e-4 times the value of the function tolerance.
ans = 
ans(:,:,1) =

    1.0000    4.0000
    3.0000    2.0000


ans(:,:,2) =

    1.0000    4.0000
    3.0000    2.0000


ans(:,:,3) =

    1.0000    4.0000
    3.0000    2.0000


ans(:,:,4) =

    1.0000    4.0000
    3.0000    2.0000
function output = computeOutput(P, Q, R, G)
    M      = P.*Q.*R.*G;
    output = [M(1); M(2); M(3); M(4)];
end