Vectorize many matrix multiplications using the third dimension

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Alec Poulin
Alec Poulin 2019-4-17
评论： Alec Poulin 2019-4-25
I have collections of matrices, say two collections A and B of n matrices each, implemented as cell arrays. I would like to produce a third collection C by multiplying the matrices from the first two collections:
C = cell(1, n);
for i = 1:n
C{i} = A{i} * B{i};
end
Is it possible instead to use 3D arrays to vectorize this operation? Suppose that A and B are m x m x n arrays, where the ith page (where i ranges from 1 to n) of the arrays are the same as the ith cell in the previous example. Then, is it possible to write something that would look like
C = A * B;
to perform the multiplications in a way that is transparent for the pages of A and B?

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James Tursa
James Tursa 2019-4-17
  2 个评论
Alec Poulin
Alec Poulin 2019-4-23
Your function does exactly what I need and I was able to compile it without too much trouble. Thank you a lot!
Alec Poulin
Alec Poulin 2019-4-25
Another question: Would there be a way to do the same thing with mldivide? I saw that there are pre-operations available for the matrices, but there is no inverse among them.

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