Timeline for Inverting a matrix with entries equal to positive or negative infinity
Current License: CC BY-SA 3.0
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| Feb 7, 2016 at 17:48 | history | edited | user9072 |
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| Oct 16, 2015 at 20:02 | comment | added | Joe Silverman | Write $J=UBU^{-1}$ in Jordan normal form. Then your limit is $U^{-1}\left(\lim_{x\to\infty}(UAU^{-1}+xJ)^{-1}\right)U$. So if $B$ is diagonalizable, you're reduced to thediagonal case that you already analyzed. If $J$ is not diagonal, it's a bit more complicated,but should be computable. Presumably the eigenvalue zero blocks of $J$ are the ones that are important. | |
| Nov 28, 2013 at 16:21 | history | asked | MrX | CC BY-SA 3.0 |