Timeline for Homogeneous polynomials, mixed determinants, positive definiteness
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 5, 2016 at 14:23 | vote | accept | Paata Ivanishvili | ||
| Oct 5, 2016 at 8:31 | answer | added | Fedor Petrov | timeline score: 12 | |
| Oct 5, 2016 at 8:05 | comment | added | Ilya Bogdanov | May you provide an example for $n=2^k$? | |
| Oct 5, 2016 at 1:41 | comment | added | Gerry Myerson | @Max, the $x_i$ are not restricted to integral or rational or algebraic, so I don't see where the algebraic nature of the matrix entries comes into it. | |
| Oct 5, 2016 at 1:41 | comment | added | Paata Ivanishvili | For odd powers n>1 you get odd degree polynomials which have lots of zeros | |
| Oct 5, 2016 at 1:38 | comment | added | Paata Ivanishvili | Lets exclude the trivial case n=1. So what is your example when n=3? | |
| Oct 5, 2016 at 1:34 | comment | added | Max Alekseyev | How the answer can be negative for $n=1$? At first glance, a positive answer attained for all $n$ by taking matrices whose all $n^3$ entries are set-wise algebraicly independent. | |
| S Oct 4, 2016 at 23:52 | history | suggested | T. Amdeberhan | CC BY-SA 3.0 |
Clarity added.
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| Oct 4, 2016 at 23:47 | review | Suggested edits | |||
| S Oct 4, 2016 at 23:52 | |||||
| Oct 4, 2016 at 23:12 | history | asked | Paata Ivanishvili | CC BY-SA 3.0 |