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The matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function.

3 votes
1 answer
519 views

Is the set of real matrices with at least one real logarithm closed under multiplication?

Let $S$ be the set of real matrices with at least one real logarithm. For some couple of its elements, for example those with at least (one real logarithm each with submultiplicative norm smaller than …
Kanghun Kim's user avatar
8 votes
2 answers
659 views

Question on whether, "An entire function, nowhere zero, has an entire logarithm," holds for ...

It is known that an entire function that is nowhere zero must be the exponential of another entire function. Does this hold for matrix-valued functions as well? That is, given a matrix-valued entire f …
Kanghun Kim's user avatar