Timeline for solving trace norm equality [closed]
Current License: CC BY-SA 3.0
14 events
| when toggle format | what | by | license | comment | |
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| Jun 7, 2013 at 1:03 | vote | accept | liubenyuan | ||
| Jun 5, 2013 at 9:49 | history | closed |
Chris Godsil Benoît Kloeckner Yemon Choi Denis Serre Neil Strickland |
off topic | |
| Jun 4, 2013 at 14:34 | comment | added | Julien | Note that $A=0$, $B$ any matrix with nonzero trace, is a pretty good counterexample too. | |
| Jun 4, 2013 at 12:52 | comment | added | liubenyuan | Dear Peter, you mean that $\mathrm{Tr}(\mathbf{AB^T})$ is PD and therefore could not equal $0$ ? | |
| Jun 4, 2013 at 12:51 | history | edited | liubenyuan | CC BY-SA 3.0 |
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| Jun 4, 2013 at 11:55 | comment | added | Peter Michor | $\text{Tr}(AB)$ is a symmetric non-degenerate inner product on the space of all matrices, with signature $(\frac{(n+1)n}2,\frac{(n-1)n}2)$. Over $mathbb R$, the symmetric bilinear form $\text{Tr}(AB^\top)$ is positive definite. | |
| Jun 4, 2013 at 10:57 | answer | added | Dietrich Burde | timeline score: 1 | |
| Jun 4, 2013 at 9:22 | history | edited | liubenyuan | CC BY-SA 3.0 |
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| Jun 4, 2013 at 9:13 | history | edited | liubenyuan | CC BY-SA 3.0 |
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| Jun 4, 2013 at 9:09 | comment | added | liubenyuan | Dear Chris, I have modified my problem. I think it related to the problem of linalg and the optimization of logdet function, this problem happened mostly in $\ell_1$ minimization solvers. L | |
| Jun 4, 2013 at 9:05 | history | edited | liubenyuan | CC BY-SA 3.0 |
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| Jun 4, 2013 at 8:58 | history | edited | liubenyuan | CC BY-SA 3.0 |
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| Jun 4, 2013 at 8:56 | comment | added | Chris Godsil | This is not the right site for this question. See the FAQ for alternatives. | |
| Jun 4, 2013 at 8:49 | history | asked | liubenyuan | CC BY-SA 3.0 |