When $e^A = e^B$ for matrices $A,B$?
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Let $A$ and $B$ be $ntimes n$ complex matrices such that $e^A = e^B$ . I would like to know relations between $A$ and $B$ . When $A,Binmathbb{C}$ , we have a simple relation $e^A = e^B Leftrightarrow A-Bin 2pi i mathbb{Z}$ . Is there such simple relation for general matrices $A$ and $B$ ?
matrices matrix-calculus matrix-exponential
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asked Dec 19 '18 at 1:47
user356126 user356126
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