Timeline for Perron Frobenius with one negative pair of entries
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| May 8, 2012 at 11:53 | history | edited | Felix Goldberg |
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| Apr 8, 2012 at 10:06 | comment | added | Alexander Chervov | @Felix Yes, you are right, it was not quite correct. Still I think the following makes sense - pertrubation theory argument. If A= Positive + Epsilon. We can estimate how the eigenvectors are changed - if Epsilon is sufficiently small we can hope for positivity. Still here is some gap - I do not know how to ensure that all elements of eigenvector are big enough. Except the only case - stochastic matrices have PF-eigenvector = (1,1,1,1,...,1). So in this case I think it can be gained something from pertrubation theory. | |
| Apr 8, 2012 at 9:25 | answer | added | Felix Goldberg | timeline score: 1 | |
| Apr 6, 2012 at 21:06 | answer | added | Suvrit | timeline score: 1 | |
| Mar 31, 2012 at 11:27 | comment | added | Felix Goldberg | I'm not sure about the diagonal dominance - it can ensure positive eigenvalues, but it's the eigenvector I'm after. Or am I missing something? | |
| Mar 31, 2012 at 10:25 | history | edited | Felix Goldberg |
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| Mar 31, 2012 at 7:46 | comment | added | Alexander Chervov | Symmetric matrix is easy case. Cause you know eigval is real. Some sufficient conditions I think easy to get something like diagonal domination.... but it can be very far from necessary ..... | |
| Mar 31, 2012 at 2:17 | history | asked | Felix Goldberg | CC BY-SA 3.0 |