Timeline for Prescribing areas of parallelograms (or 2x2 principal minors)
Current License: CC BY-SA 3.0
2 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 27, 2012 at 14:07 | comment | added | Julien Maubon | Thanks. I know essentially nothing about Groebner bases, unfortunately... Just one remark. In general there should be no algebraic relations that have to be satisfied by the $a_{ij}$'s. Indeed, using the notation of Edit 2 in the question, if for some set of $a_{ij}>0$ one can find $g_{ii}$'s and $\epsilon_{ij}$'s so that the matrix $G$ they define is positive definite, then there is an open neighborhood of the $a_{ij}$'s for which the same holds. It seems that algebraic relations should appear only "on the boundary" of the set of possible $a_{ij}$'s, whatever this means. | |
| May 24, 2012 at 14:54 | history | answered | Camilo Sarmiento | CC BY-SA 3.0 |