Timeline for convex hull of pairs of matrices
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Oct 2, 2012 at 6:58 | comment | added | Aaron Meyerowitz | What is your norm? Largest eigenvalue?,maximum entry? One thought is | |
| Oct 1, 2012 at 11:39 | comment | added | Mikael de la Salle |
An equivalent form of my question is: are the matrices that satisfy $A^*A+B^*B = A A^*+B B^*=1$ the only extreme points of the set of pairs $(A,B)$ such that $\max(\|A^*A+B^*B\|,\|A A^*+B B^*\|)\leq 1$?
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| Oct 1, 2012 at 11:36 | comment | added | Mikael de la Salle |
Could it be the whole convex set of pairs $(A,B)$ such that $\max(\|A^*A+B^*B\|,\|A A^*+B B^*\|)\leq 1$? Or do you already know that it is smaller?
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| Oct 1, 2012 at 9:15 | answer | added | Aaron Meyerowitz | timeline score: 1 | |
| Oct 1, 2012 at 7:40 | comment | added | jo1 | yes, reals. complex matrices are also interesting with transpose replaced by conjugate. | |
| Oct 1, 2012 at 1:11 | comment | added | Terry Loring | Are these matrices of real numbers? | |
| Sep 30, 2012 at 22:46 | history | edited | Gerry Myerson | CC BY-SA 3.0 |
formatting
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| Sep 30, 2012 at 22:26 | history | asked | jo1 | CC BY-SA 3.0 |