Timeline for Eigenvector of a nonnegative matrix in closed form
Current License: CC BY-SA 3.0
8 events
when toggle format | what | by | license | comment | |
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May 9, 2017 at 18:17 | vote | accept | Abhishek Halder | ||
May 9, 2017 at 15:31 | answer | added | martin cripps | timeline score: 4 | |
May 9, 2017 at 13:01 | comment | added | Federico Poloni | @martincripps Want to post it as an answer? | |
May 9, 2017 at 8:52 | comment | added | Abhishek Halder | @martin: very nice. looks trivial now :-) Thanks. | |
May 9, 2017 at 8:41 | comment | added | martin cripps | I wrote it as a system of equations $\frac{\nu_i}{1-\alpha_i}=\sum_j\frac{\alpha_i\nu_j}{1-\alpha_j}$ (here the sum runs over all $j$. Then changed variable $x_i=\nu_i/(1-\alpha_i)$ and observed that $x_i$ has to be proportional to $\alpha_i$. | |
May 9, 2017 at 8:38 | comment | added | Abhishek Halder | @ martin: I see. How do you prove it? | |
May 9, 2017 at 8:25 | comment | added | martin cripps | Try $\nu_i=\alpha_i(1-\alpha_i)k$ where $k$ is chosen to normalise. | |
May 9, 2017 at 8:04 | history | asked | Abhishek Halder | CC BY-SA 3.0 |