Timeline for Fast decay of eigenvector elements
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Apr 27, 2021 at 14:30 | review | Close votes | |||
| May 13, 2021 at 3:02 | |||||
| Apr 27, 2021 at 14:29 | comment | added | twofiveone | I edited the post to make it clearer. Thanks! | |
| Apr 27, 2021 at 14:28 | history | edited | twofiveone | CC BY-SA 4.0 |
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| Apr 27, 2021 at 14:22 | comment | added | LSpice | @FedericoPoloni, although the question is very unclear to me, I think we are meant to look at different eigenvectors corresponding to different, but similar, matrices. (I still can't tell in what sense decay is meant—decay of the finite sequence of entries, whatever that means, for a fixed matrix, or decay as we vary the matrix?) If that is so, then picking an eigenbasis for a single matrix is not enough. | |
| Apr 27, 2021 at 14:08 | comment | added | Federico Poloni | As the question is written now, the trivial answer is "the eigenvector basis, in which the sought eigenvector is [1,0,0,...,0]". Maybe you need to formulate your request in a different way. | |
| Apr 27, 2021 at 13:51 | history | edited | twofiveone | CC BY-SA 4.0 |
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| Apr 27, 2021 at 13:44 | comment | added | twofiveone | 1. What I meant by decay is that the eigenvector elements approach zero or a very small number if we sort them in decreasing order based on their absolute values. 2. My question was for a general PSD matrix set. | |
| Apr 27, 2021 at 13:36 | comment | added | LSpice | Decay with respect to what? Is your set of similar matrices actually a sequence? | |
| Apr 27, 2021 at 13:30 | history | asked | twofiveone | CC BY-SA 4.0 |