Timeline for Relationship of eigenvalue/eigenvector of hermitian matrix R and QRQ (Q is diagonal)
Current License: CC BY-SA 3.0
13 events
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| Apr 13, 2017 at 12:19 | history | edited | CommunityBot |
replaced http://math.stackexchange.com/ with https://math.stackexchange.com/
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| Feb 26, 2014 at 6:36 | comment | added | dehiker | Thanks for your reply, Federico! I've modified the question to link the one on math.se. By the way, I'm wondering why there're so many minuses here :( | |
| Feb 26, 2014 at 6:09 | history | edited | dehiker | CC BY-SA 3.0 |
added 12 characters in body
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| Feb 25, 2014 at 13:58 | answer | added | Bazin | timeline score: 0 | |
| Feb 25, 2014 at 10:54 | comment | added | Federico Poloni | Oh, and by the way, can you cross-link to the math.se question, just for reference? | |
| Feb 25, 2014 at 10:52 | comment | added | Federico Poloni | Not sure if you call that a "relationship", but if the diagonal is real the signature of the matrix is preserved, so you can at least predict their signs. I.e., $R$ and $QRQ$ have the same number of positive, zero, and negative eigenvalues. That's probably all that you can get. | |
| Feb 25, 2014 at 10:50 | comment | added | Alex Degtyarev | Simultaneously diagonalizable. Otherwise, there's no hope to see what $Q$ does to the eigenvectors of $R$. | |
| Feb 25, 2014 at 10:44 | comment | added | dehiker | Q is diagonal; R is hermitian, so it's diagonalizable. Then conditions satisfied? | |
| Feb 25, 2014 at 10:30 | comment | added | Alex Degtyarev | I mean that $R$ is also diagonal. (In the learned language, $Q$ and $R$ commute, or are simultaneously diagonalizable.) | |
| Feb 25, 2014 at 9:55 | comment | added | dehiker | Hi, Alex! What do you mean by saying "Q and R are in a special position with respect to each other"? | |
| Feb 25, 2014 at 9:28 | comment | added | Alex Degtyarev | No, there's no nice relation unless $Q$ and $R$ are in a special position with respect to each other. | |
| Feb 25, 2014 at 8:48 | review | First posts | |||
| Feb 25, 2014 at 8:58 | |||||
| Feb 25, 2014 at 8:30 | history | asked | dehiker | CC BY-SA 3.0 |