How to solve linear least squares problem of the following form in matlab

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Y I 2018-12-3

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https://ww2.mathworks.cn/matlabcentral/answers/433645-how-to-solve-linear-least-squares-problem-of-the-following-form-in-matlab

评论： Walter Roberson 2018-12-8

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Hello

I need to solve the problem which is written in the following form:

I have all the terms except ws, which I need to find. Firstly I don't understand how I can rewrite this problem in the following way Ws = ... Is it possible?

And how to solve this problem in Matlab? I did not find suitable function which corresponds to this form...

2. From the same article:

I don't have any idea how they rewrite this but how to solve this problem in this form?

What I found in Matlab is:

But what does it mean this 2 at the bottom and can I use this function to solve equation (3)?

Since H and h are the matrices, so can I write in matlab vector A which contains another matrices?

Thank you!

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Walter Roberson 2018-12-4

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||expression|| with subscript 2 means the 2-norm, also known as the Euclidean distance. With the Euclidean distance being sqrt() of a sum of squares, and with the result of the 2-norm being squared by lsqnonneg, what is being computed is effectively the sum of squares.

Likely this is the same thing that your equation means with ||expression|| squared with no subscript 2, so Yes, lsqnonneg is a plausible function.