How can I do this operation fast and simply?

I have a matrix [M], [N] having the shapes as in the image I've referred.

What I want to get is a matrix [P] (in the image).

I've found that [P] can be obtained by diagonalizing the matrix [N] like [N]* and multiplying it with the matrix [M].

However, it takes a lot of time and memory for diagonalizing the matrix [N] like [N]*.

Do we have a special MATLAB operator to get a matrix [P] in my example?

[Matt J]

You have lots of [] and {} notation in your post that is unclear. Are [A], [B], [C],... matrices? What are {a},{b},{c},....

[Stephen23]

"How can I do this operation fast and simply?"

Probably one simple loop with a preallocated output.

Answer 1

[Matt J]

 P=kron(N,M);

[Sinwoo Jeong]

Thank you for your comment. But, kron does not give me a correct answer. It gives me something but the size of the matrix is wrong. I think I need to study it more.

[Guillaume]

What you need to do is be a lot clearer about what you want. Your invented notation is not. A numerical example would be useful.