Timeline for Matrix eigenvalues inequality (1)
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 2, 2019 at 19:23 | comment | added | Fedor Petrov | I mean en.wikipedia.org/wiki/Min-max_theorem In other words, in order to estimate the $i$-th eigenvalue from below you should find a subspace of dimension $i$ onto which you have a lower bound for the quadratic form | |
| Feb 2, 2019 at 15:17 | comment | added | Xiaopai Song | Thanks for your constructive comment. I try to handle the inequality (2) mathoverflow.net/q/322262/134602 and makes comments in it. I am not familiar with the variational principle. So I can't follow you overall. If you have time, could you give some comments or answer it? Your comments are very important to me. | |
| Feb 2, 2019 at 9:24 | comment | added | Fedor Petrov | Again, estimate consecutive eigenvalues of all involved matrices using variational principle | |
| Feb 2, 2019 at 3:36 | comment | added | Xiaopai Song | Are you interested in other similar inequalities? mathoverflow.net/q/322262/134602 and mathoverflow.net/q/322265/134602. For now, I can't prove it. | |
| Jan 31, 2019 at 17:12 | comment | added | Xiaopai Song | Thank you again. Your answer is right. | |
| Jan 31, 2019 at 17:11 | vote | accept | Xiaopai Song | ||
| Jan 30, 2019 at 23:22 | history | answered | Fedor Petrov | CC BY-SA 4.0 |