Timeline for Is this function of a matrix convex?
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Feb 25, 2014 at 1:23 | comment | added | Suvrit | @Felix: it was an attractive conjecture. A related geometric convexity does hold though for Perron vectors (but under a rather special situation): see here: ams.org/proc/1993-118-04/S0002-9939-1993-1139482-5/… | |
| Feb 25, 2014 at 1:00 | vote | accept | Felix Goldberg | ||
| Feb 24, 2014 at 14:54 | history | edited | Suvrit | CC BY-SA 3.0 |
added another countex.
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| Feb 24, 2014 at 6:55 | comment | added | Felix Goldberg | Actually, I've been getting $\|v(C)\|_1 > 0.5\|v(A)\|_1 + 0.5\|v(B)\|_1$ all the time (which is of course concave, not convex, silly me). Are you sure you can produce examples of the opposite kind? I'm unable to replicate them... | |
| Feb 24, 2014 at 3:30 | comment | added | Suvrit | @Suresh: thanks; changed example to use symmetric $A$; the claim still fails. Maybe Felix had something else in mind... | |
| Feb 24, 2014 at 3:30 | history | edited | Suvrit | CC BY-SA 3.0 |
fixed example to use symmetric A
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| Feb 24, 2014 at 2:55 | comment | added | Suresh Venkat | But $A$ is not symmetric (the question requires symmetric matrices) | |
| Feb 24, 2014 at 2:48 | history | undeleted | Suvrit | ||
| Feb 24, 2014 at 2:47 | history | edited | Suvrit | CC BY-SA 3.0 |
fixed a numerical bug due to wrong copy paste!
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| Feb 24, 2014 at 2:42 | history | deleted | Suvrit | via Vote | |
| Feb 24, 2014 at 2:24 | history | answered | Suvrit | CC BY-SA 3.0 |