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May 3, 2015 at 20:19 comment added Lei Wang @Suvrit: Yes, why things still work out remain a mystery to me.
May 3, 2015 at 20:15 comment added Suvrit @user23765: I see the difference now. In my answer, I assume a "sufficient" condition, and frequently it is satisfied. In the cases where it is not (the $\pm a + \log(-1)$ case in your bullet point 3), things still work out. So it remains to guarantee that these are the only possible cases.
May 3, 2015 at 19:50 history edited Suvrit CC BY-SA 3.0
fixed a typo, and changed flow a tiny bit.
May 3, 2015 at 16:31 comment added Lei Wang @Suvrit: The complex eigenvalues are indeed in conjugate pairs, but the real ones are not necessarily doubly degenerate.
May 3, 2015 at 15:14 comment added Lei Wang Is it possible for $e^M$ to have real eigenvalues smaller than -1 that are not paired with others ?
May 3, 2015 at 14:04 history undeleted Suvrit
May 3, 2015 at 14:04 history edited Suvrit CC BY-SA 3.0
expanded the answer....
May 3, 2015 at 2:36 history deleted Suvrit via Vote
May 3, 2015 at 1:28 comment added Christian Remling Well, I just reached the opposite conclusion from the same starting point. But of course it wouldn't surprise anyone if I'm wrong again.
May 2, 2015 at 23:43 history answered Suvrit CC BY-SA 3.0