Timeline for Solving a quadratic matrix equation
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| S May 29, 2021 at 23:36 | history | suggested | user_na | CC BY-SA 4.0 |
fixed bad link
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| May 29, 2021 at 7:18 | review | Suggested edits | |||
| S May 29, 2021 at 23:36 | |||||
| Jun 26, 2019 at 13:17 | comment | added | Federico Poloni | @IgorRivin Actually, for $B=I$, you are asking for a factorization $A= YY^T$ (with $Y=X^{-1}$), which is an easier problem than eigenvectors, and has a closed formula via the Cholesky factorization. | |
| Jul 16, 2015 at 6:49 | vote | accept | Abhishek Halder | ||
| Oct 18, 2011 at 9:23 | comment | added | Igor Rivin | I very much doubt it. For $B=I,$ you are asking for a system of eigenvectors for $A,$ which is a question which has received a lot of attention over the last couple of centuries. If there were a closed form, that would be quite amazing. | |
| Oct 18, 2011 at 6:38 | vote | accept | Abhishek Halder | ||
| Jul 16, 2015 at 6:48 | |||||
| Oct 18, 2011 at 6:37 | comment | added | Abhishek Halder | Thanks for pointing that out. I am wondering if $A$ and $B$ are symmetric positive semi-definite, then can we write $X$ explicitly in terms of $A$ and $B$? I am trying to get a result similar to Theorem 1 here: kb.osu.edu/dspace/handle/1811/22234?mode=full | |
| Oct 14, 2011 at 10:19 | history | answered | Igor Rivin | CC BY-SA 3.0 |