Timeline for What is $A+A^T$ when $A$ is row-stochastic ?
Current License: CC BY-SA 3.0
8 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Jan 14, 2013 at 8:46 | vote | accept | Denis Serre | ||
| Jan 11, 2013 at 18:34 | answer | added | Will Sawin | timeline score: 3 | |
| Jan 5, 2013 at 13:20 | answer | added | Denis Serre | timeline score: 4 | |
| Jan 5, 2013 at 12:33 | comment | added | Brendan McKay | Lovely question! Each of the two sets of matrices forms a convex polytope. It will suffice to show that each vertex of the second polytope (the symmetric matrices satisfying your conditions) lies in the first polytope. This might help because I suspect that the vertices have quite special form, namely $A+A^T$ where each row of $A$ has a single 1. I didn't prove that, though. | |
| Jan 5, 2013 at 12:23 | comment | added | Suvrit | This smells like "matrix majorization" to me; unfortunately, I don't have time to dig up more on this. Please add your $n=3$ argument to the question if possible, or as a partial answer to this question. Thanks! | |
| Jan 5, 2013 at 10:39 | history | edited | Denis Serre | CC BY-SA 3.0 |
added 85 characters in body
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| Jan 4, 2013 at 9:18 | history | asked | Denis Serre | CC BY-SA 3.0 |