Timeline for How to characterize real square matrices A, such that v'Av >= 0, for all real vectors v with 1'v=0 (1 is the vector of all ones)?
Current License: CC BY-SA 3.0
6 events
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| Jan 1, 2013 at 22:19 | history | edited | Suvrit | CC BY-SA 3.0 |
Fixed errors in the references...
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| Nov 5, 2010 at 3:39 | vote | accept | daizhuo | ||
| Nov 4, 2010 at 9:00 | comment | added | Suvrit | @Federico, true; that is the (implicit) reason why I originally rapidly typed my answer, but then for some reason, suddenly thought, what if the asymmetry of $A$ is somehow important to the OP. :-) | |
| Nov 4, 2010 at 8:45 | comment | added | Federico Poloni | The quadratic form defined by $A$ is the same as that defined by $\frac 12 (A+A^T)$, and that is symmetric. So all you said above can be generalized to the nonsymmetric case by writing $\frac12(a_{ij}+a_{ji})$ in lieu of $a_{ij}$ | |
| Nov 4, 2010 at 8:40 | history | edited | Suvrit | CC BY-SA 2.5 |
added symmetry as a prereq
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| Nov 4, 2010 at 8:28 | history | answered | Suvrit | CC BY-SA 2.5 |