Mulitplying 3D matrix by 3D matrix - result being 4D.

Question

Ryan Motley 2021-8-3

0
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评论： Ryan Motley 2021-8-3

I have a 3x3x512 matrix and I am trying to perform a multiplication with a 3x512x512 matrix whereby the result is that each page of the second matrix (3x512) is multiplied by all 512 pages of the first matrix seperately.

Ideally I would end up with a 3x512x512x512 matrix in the end. I've done this with a foor loop (see below) but I was wondering if there was a way to do it without the loop and just by matrix multiplication.

for i = 1:512
    for j = 1:512
        result(:,:,i,j) = matrix1(:,:,i)*matrix2(:,:,j);
    end
end

EDIT

Alternatively, is there a way to do this with cells with the result being a 512x512 cell of 3x512 doubles? Would this be any faster than doing the whole thing as a for loop?

Thanks