Timeline for Simple SDP using Hermitian matrices
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 9, 2023 at 10:10 | vote | accept | mathematica_beginner | ||
| Mar 9, 2023 at 6:26 | answer | added | Mauricio de Oliveira | timeline score: 3 | |
| Mar 8, 2023 at 15:56 | comment | added | Henrik Schumacher | I see. Anyways, Mathematica does not know about this and refuses to minimize complex-valued functions. So wrapping it with Re might help anyways. | |
| Mar 8, 2023 at 15:13 | history | edited | mathematica_beginner | CC BY-SA 4.0 | Added proof that $ \textrm{tr} \big(AX \big)$ is non-negative and real. |
| Mar 8, 2023 at 15:13 | comment | added | mathematica_beginner | @HenrikSchumacher I have edited my question to add a proof that $\textrm{tr} \big( AX\big)$ is real and non-negative if $A$ and $X$ are both positive-semidefinite. | |
| Mar 8, 2023 at 14:31 | comment | added | Henrik Schumacher | You seem to attempt to minimize a complex-valued function. If $A$ and $X$ are complex-valued matrices, what does guarantee that $\mathrm{tr}(A X)$ is a real number? Maybe you meant to take Frobenius inner product? Then you have to apply Re. | |
| Mar 8, 2023 at 11:44 | history | asked | mathematica_beginner | CC BY-SA 4.0 |