Author(s):
Fidalgo, Carla 
; Kovačec, Alexander
Date: 2009
Persistent ID: http://hdl.handle.net/10316/11179
Origin: Estudo Geral - Universidade de Coimbra
Document details
Diagonal minus tail forms and Lasserre's sufficient conditions for sums of squares
Description
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.
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.
Document Type
Preprint
Language English
Language English
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