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https://hdl.handle.net/10316/11179
Title: | Diagonal minus tail forms and Lasserre's sufficient conditions for sums of squares | Authors: | Fidalgo, Carla Kovačec, Alexander |
Issue Date: | 2009 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 09-09 (2009) | Abstract: | Using our recent results on diagonal minus tail forms, we give an easily tested sufficient condition for a polynomial f(x) = P i2I fixi in IR[x] = IR[x1, . . . , xn], to be a sum of squares of polynomials (sos). We show that the class of polynomials passing this test is wider than the class passing Lasserre’s recent conditions. Another sufficient condition for f to be sos, like Lasserre’s piecewise linear in the fi, is also given. | URI: | https://hdl.handle.net/10316/11179 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Vários |
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Diagonal minus tail forms and Lasserre's sufficient conditions.pdf | 103.51 kB | Adobe PDF | View/Open |
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