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I have a matrix A of size n^2 by n^2, and I wanted to know if for a given accuracy (or a number r) there is a way to express A as the sum of Bi kron Ci for i=1...R
where Bi, Ci are n by n? i.e.

enter image description here

There are some toolboxes for cases where A is a vector, but I do not want to reshape A as a vector since it grows badly with n. So I want to deal with A directly.

How can I decompose this matrix?

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    Reshaping a matrix as a vector takes no memory and no time. MATLAB will have the vector reference the data of the matrix. v = M(:). Commented Oct 6 at 22:40
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