Timeline for sign-flipping inverse
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Feb 8, 2016 at 19:49 | history | edited | user9072 |
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| May 23, 2012 at 10:21 | comment | added | Felix Goldberg | @Barry Cipra, Probably not, the matrix originally came from the stuff I am working on which has a lot of structure, but presumably the phenomenon is a general one. But thanks for noticing. | |
| May 22, 2012 at 17:07 | answer | added | Robert Israel | timeline score: 8 | |
| May 22, 2012 at 16:07 | comment | added | Barry Cipra | Is it significant that the diagonal entries have the form $(a^2 - b^2 -1)/(a-b)$ and $(a^2 + b^2 + 1)/(a-b)$ where $a=17$ and $b=7$? | |
| May 22, 2012 at 15:07 | comment | added | Gerhard Paseman | In working with 0-1 matrices, one observes this sign inversion phenomenom with certain extremal matrices. (I never looked for how the signs on the inverse changed when perturbing the matrix.) Since I was looking for maximum determinant on a bounded set, I might suggest that it bears some resemblance to Lagrange multipliers for determining optima, and that choice of direction contributes (or not) to the effect. Gerhard "Ask Me About System Design" Paseman, 2012.05.22 | |
| May 22, 2012 at 12:36 | history | asked | Felix Goldberg | CC BY-SA 3.0 |