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https://hdl.handle.net/10316/11199
Title: | Positive semidefinite diagonal minus tail forms are sums of squares | Authors: | Fidalgo, Carla Kovačec, Alexander |
Issue Date: | 2008 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 08-62 (2008) | 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. | URI: | https://hdl.handle.net/10316/11199 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Vários |
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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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