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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.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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