Timeline for Nature of a certain invariant on smooth field of positive definite matrices
Current License: CC BY-SA 4.0
4 events
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Dec 6, 2023 at 4:37 | comment | added | Willie Wong | Sorry, when transcribing I dropped the tildes, they should be $\tilde{F}$. // If $F$ is assumed to be injective, then the analysis in the first part is not needed. You just need to look at the final part about the factorization problem. | |
Dec 6, 2023 at 4:34 | history | edited | Willie Wong | CC BY-SA 4.0 |
added 50 characters in body
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Dec 6, 2023 at 4:26 | comment | added | Sardine | Thanks for the thorough answer, I'll need some time to digest it! Could you clarify why you mention an assumption that $\partial F$ is symmetric? The reason I introduced a matrix $M$ such that $\partial F = gM$ is that $\partial F$ is not symmetric. This may be a minor detail. I also didn't think to mention that $F$ is assumed injective over a domain (smooth, convex) $E$. | |
Dec 6, 2023 at 3:41 | history | answered | Willie Wong | CC BY-SA 4.0 |