Timeline for Determinant of sum of positive definite matrices
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Jul 2, 2018 at 13:18 | history | edited | Suvrit | CC BY-SA 4.0 |
added a stronger proof.
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| Jul 1, 2018 at 22:07 | comment | added | Suvrit | @AlexArvanitakis indeed the same reasoning as above with a tiny bit of care can be used to prove the inequality $\det((1-\lambda)A+\lambda B) \ge \det(A)^{1-\lambda}\det(B)^\lambda$, which is actually equivalent to Minkowski's determinant inequality (easy to verify using suitably scaled versions of the matrices $A$ and $B$) | |
| Jun 30, 2018 at 22:35 | comment | added | AlexArvanitakis | This is very clever. I wonder if such reasoning can also prove the Minkowski determinant theorem mentioned above... | |
| May 20, 2011 at 5:53 | history | edited | Suvrit | CC BY-SA 3.0 |
added link, fixed typo
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| May 20, 2011 at 5:47 | history | answered | Suvrit | CC BY-SA 3.0 |