Timeline for Show that the eigenvalues of a non-symmetric matrix built from positive matrices have positive real parts
Current License: CC BY-SA 4.0
4 events
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Nov 5, 2021 at 11:51 | comment | added | PAb | Thanks, that's a neat trick then ! So the 1d case is solved. However, I don't see how we can adapt this to the general case. | |
Nov 5, 2021 at 11:09 | comment | added | Michael Renardy | PAb: If it ever had an eigenvalue with negative real part, then, for some B, it would have an eigenvalue with zero real part (intermediate value theorem). | |
Nov 5, 2021 at 10:37 | comment | added | PAb | Thanks. I don't understand the "it suffices..." part: why can't this matrix have an eigenvalue with non-zero real part? | |
Nov 5, 2021 at 2:13 | history | answered | Michael Renardy | CC BY-SA 4.0 |