Timeline for Local differentiability of eigenvalues and eigenvectors of a real symmetric matrix
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Jun 22, 2022 at 16:07 | comment | added | RS-Coop | I am not familiar with the space $C^{[M]}$, or this quasianalytic condition, so I am not quite sure. I was hoping for a condition like that in part E, i.e. $C^{1,\alpha}$. | |
| Jun 22, 2022 at 15:50 | comment | added | Carlo Beenakker | theorem B in the second reference I added addresses both eigenvalues and eigenvectors, is that sufficient? | |
| Jun 22, 2022 at 15:50 | history | edited | Carlo Beenakker | CC BY-SA 4.0 |
added 113 characters in body
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| Jun 22, 2022 at 15:42 | comment | added | RS-Coop | thanks for the response! Yes, part E of that theorem does seem to be what I am asking for, at least in terms eigenvalues, but what about eigenvectors? In your example it seems the issue at 0 is that there is no neighborhood where the multiplicity is constant. I don't need a specific ordering of the eigenvalues, but I it is unclear to me how that helps the isse at 0. What is meant by this parameterization in general? | |
| Jun 22, 2022 at 15:20 | history | answered | Carlo Beenakker | CC BY-SA 4.0 |