A criterion for positive polynomials
| dc.creator | Cukierman, Fernando | |
| dc.date | 2003-12-26 | |
| dc.date | 2004-07-28 | |
| dc.date.accessioned | 2026-07-07T05:04:13Z | |
| dc.date.available | 2026-07-07T05:04:13Z | |
| dc.description | Let F be a homogeneous real polynomial of even degree in any number of variables. We consider the problem of giving explicit conditions on the coefficients so that F is positive definite or positive semi-definite. In this note we produce a necessary condition for positivity and a sufficient condition for non-negativity, in terms of positivity or semi-positivity of a one-variable characteristic polynomial of F. Also, we review another well-known sufficient condition. | |
| dc.description | Several minor changes and new Prop. (1.15) | |
| dc.identifier | https://arxiv.org/abs/math/0312469 | |
| dc.identifier | http://arxiv.org/abs/math/0312469 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69717 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14Pxx, 14Mxx | |
| dc.title | A criterion for positive polynomials | |
| dc.type | text |