Best $\ell_1$-approximation of nonnegative polynomials by sums of squares

Jean-Bernard Lasserre (1)

1 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande

Given a nonnegative polynomial f, we provide an explicit expression for its best $\ell_1$-norm approximation by a sum of squares of given degree.

Mots clés: Nonnegative polynomials; sums of squares; semidefinite programming

Domaines: Optimisation et contrôle [math.OC]

Jean-Bernard Lasserre. Best $\ell_1$-approximation of nonnegative polynomials by sums of squares. 2010. ⟨hal-00546660⟩