Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11199
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Fidalgo, Carla | - |
dc.contributor.author | Kovačec, Alexander | - |
dc.date.accessioned | 2009-08-27T08:21:28Z | - |
dc.date.available | 2009-08-27T08:21:28Z | - |
dc.date.issued | 2008 | - |
dc.identifier.citation | Pré-Publicações DMUC. 08-62 (2008) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/11199 | - |
dc.description.abstract | By a diagonal minus tail form (of even degree) we understand a real homogeneous polynomial F(x1, ..., xn) = F(x) = D(x) − T(x), where the diagonal part D(x) is a sum of terms of the form bix2d i with all bi ≥ 0 and the tail T(x) a sum of terms ai1i2...inxi1 1 ...xin n with ai1i2...in > 0 and at least two i ≥ 1. We show that an arbitrary change of the signs of the tail terms of a positive semidefinite diagonal minus tail form will result in a sum of squares of polynomials. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Centro de Matemática da Universidade de Coimbra | en_US |
dc.rights | openAccess | eng |
dc.title | Positive semidefinite diagonal minus tail forms are sums of squares | en_US |
dc.type | preprint | en_US |
item.grantfulltext | open | - |
item.fulltext | Com Texto completo | - |
item.openairetype | preprint | - |
item.languageiso639-1 | en | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
item.cerifentitytype | Publications | - |
Appears in Collections: | FCTUC Matemática - Vários |
Files in This Item:
File | Description | Size | Format | |
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Positive semidefinite diagonal minus tail forms are sums of squares.pdf | 199.16 kB | Adobe PDF | View/Open |
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