Selection of Proper Optimization Function for Finding Global Minimum

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Adam Rish 2021-4-29

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评论： Adam Rish 2021-4-29

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I am currently working on the following optimization problem and want to ensure I am getting the global minimum. I am not familiar with optimization functions, so am not sure which algorithm is most appropriate for me. I have access to the Global Optimization Toolbox. The objective function is written as such:

function e2 = IOT_objective(r)
    %want to minimize e2
    % r --> A row vector with a size of 1 x n
    % S --> matrix with a size of n x m
    % dm --> A row vector with a size of 1 x m
    e=dm-r*S;
    e2=e*e';
end

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Matt J 2021-4-29

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If r is the only unknown, then your objective is convex. Assuming your constraints are also convex, any solution will be a global minimum.

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Matt J 2021-4-29

So, you can od this with lsqlin(), like we discussed in your previous post,

https://www.mathworks.com/matlabcentral/answers/800241-writing-minimization-function-to-find-multiple-vectors?s_tid=srchtitle

Adam Rish 2021-4-29

Awesome thank you!

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