Timeline for Techniques for lower-bounding angle between two eigenvectors of a matrix
Current License: CC BY-SA 2.5
5 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| May 22, 2013 at 2:43 | answer | added | Dustin G. Mixon | timeline score: 4 | |
| Dec 23, 2010 at 9:38 | history | edited | Denis Serre | CC BY-SA 2.5 |
edited title
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| Nov 8, 2010 at 22:56 | comment | added | alex | Just a thought: for invertible matrices, I wonder if a relevant quantity is the difference between $||A^{-1}||_2$ and the spectral radius of $A^{-1}$. Consider: if $A$ is symmetric (so that eigenvectors are at right angles), then so is $A^{-1}$, and the spectral radius of $A^{-1}$ equals its norm. On the other hand, suppose we keep all the eigenvalues of $A$ the same but let the angle between two eigenvectors approach zero. Then the spectral radius of $A^{-1}$ does not change, but its norm approaches infinity. | |
| Nov 8, 2010 at 19:10 | history | asked | Warren Schudy | CC BY-SA 2.5 |