matrix exponential's, both base and exponent are matrix

Hi, Is there are simple way to find the exponential when both base and exponent are matrices. Currently I am using a loop.

Answer 1

[Walter Roberson]

If the matrices are the same size and you want to take corresponding elements, then use

base.^exponent

[Preethi]

if the matrices are of different size?

[Walter Roberson]

Are they vectors or are they matrices? What size() should the output be?

[Walter Roberson]

result = reshape(bsxfun(@power, base(:), exponent(:).'), [size(base),size(exponent)]);

for example, 3 x 5 and 2 x 2 would come out as 3 x 5 x 2 x 2

[John D'Errico]

What meaning would you put to a case where you try to raise a 3x3 matrix to a 2x2 exponent? How could that possibly make sense?

[Walter Roberson]

I don't know, John, but there's probably an application for it in String Theory anyhow ;-)

[John D'Errico]

I tried reading about string theory once, but I kept losing the thread. I got all tangled up in knots.