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Certificates of positivity in the simplicial Bernstein basis.
| Content Provider | Semantic Scholar |
|---|---|
| Author | Leroy, Richard |
| Copyright Year | 2009 |
| Abstract | We study in the paper the positivity of real multivariate polynomials over a non-degenerate simplex V. We aim at obtaining certificates of positivity, {\it i.e.} algebraic identities certifying the positivity of a given polynomial on V, thus generalizing the work in \cite{BCR}. In order to do so, we use the Bernstein polynomials, which are more suitable than the usual monomial basis. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://core.ac.uk/download/pdf/48233794.pdf |
| Alternate Webpage(s) | https://hal.archives-ouvertes.fr/hal-00589945/document |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |