Existence of the matrix logarithm

ID: existence-of-the-matrix-logarithm

Existence of the matrix logarithm by Ciro Santilli 36 Updated +Created
en.wikipedia.org/wiki/Logarithm_of_a_matrix#Existence mentions it always exists for all invertible complex matrices. But the real condition is more complicated. Notable counter example: -1 cannot be reached by any real .
The Lie algebra exponential covering problem can be seen as a generalized version of this problem, because

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