Timeline for Spectrum of an almost Hamiltonian matrix
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Feb 10 at 20:40 | comment | added | Carlo Beenakker | I am unable to complete the argument, but it seems that if $A$ and $C$ commute the eigenvalues are symmetric around the imaginary axis. | |
| Feb 10 at 17:23 | comment | added | mathamphetamine | I have now taken a simpler special case where the blocks on the diagonal are diagonal matrices. | |
| Feb 10 at 17:23 | history | edited | mathamphetamine | CC BY-SA 4.0 |
Simplified the case to A being a diagonal matrix
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| Feb 9 at 18:51 | comment | added | mathamphetamine | Maybe a more explicit result since the matrices involved have extra structure. | |
| Feb 9 at 18:29 | comment | added | Carlo Beenakker | $H$ and $N$ must be similar, you hope for a condition that is different from that? | |
| Feb 9 at 18:27 | history | edited | mathamphetamine | CC BY-SA 4.0 |
some clarifications.
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| Feb 9 at 18:22 | history | edited | mathamphetamine | CC BY-SA 4.0 |
some clarifications.
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| Feb 9 at 18:22 | comment | added | mathamphetamine | @CarloBeenakker It doesn't work for generic case, thats why I am looking for additional hypothesis which makes the result true...something which relates eigenspaces of the other blocks with the eigendirection of the rank-1 $C$ ...maybe. | |
| Feb 9 at 17:34 | history | edited | mathamphetamine | CC BY-SA 4.0 |
edited body
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| Feb 9 at 17:15 | history | edited | mathamphetamine | CC BY-SA 4.0 |
edited title
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| Feb 9 at 17:09 | history | asked | mathamphetamine | CC BY-SA 4.0 |