Timeline for Convergence of eigenvectors
Current License: CC BY-SA 2.5
9 events
| when toggle format | what | by | license | comment | |
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| Mar 25, 2011 at 10:58 | answer | added | Wilberd van der Kallen | timeline score: 0 | |
| Mar 25, 2011 at 8:25 | comment | added | Szopa | This is not a homework. This comes from expansion of a solution to PDE with Robin boundary condition in some basis. I've obtained an infinite system of equations Av=v, where A is a band matrix, is square summable (entries in k-th row are of the order 1/k) so A is compact operator on $l^2$. In general I want to show that the eigenvector of truncated matrix A is good approximation of the solution to original problem if the truncation rank is large enough. | |
| Mar 25, 2011 at 7:09 | history | edited | Denis Serre | CC BY-SA 2.5 |
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| Mar 24, 2011 at 19:20 | comment | added | Yemon Choi | I am not so sure this is homework; but I think a more precise question would be better received. Perhaps the original question is motivated by particular examples that have extra structure not present for general compact operators on Hilbert space? (E.g. integral kernel, Toeplitz or band structure.) | |
| Mar 24, 2011 at 16:10 | answer | added | Robert Israel | timeline score: 2 | |
| Mar 24, 2011 at 11:26 | comment | added | Bill Johnson | This looks like a homework problem that was slightly open ended. I vote to close. | |
| Mar 24, 2011 at 10:18 | comment | added | Yemon Choi | Presumably you are motivated by the self-adjoint case. Which other cases have you tried, or heard of? | |
| Mar 24, 2011 at 10:15 | comment | added | Yemon Choi | Which eigenvectors of $T_n$ are supposed to converge to eigenvectors of $T$? All of them? Some of them? | |
| Mar 24, 2011 at 10:01 | history | asked | Szopa | CC BY-SA 2.5 |