A sum of squares approximation of nonnegative polynomials

• Autores: Jean B. Lasserre
• Localización: SIAM Review, ISSN 0036-1445, Vol. 49, Nº. 4, 2007, págs. 651-669
• Idioma: inglés
• DOI: 10.1137/070693709
• Texto completo no disponible (Saber más ...)
• Resumen

  • We show that every real nonnegative polynomial $f$ can be approximated as closely as desired (in the $l_1$-norm of its coefficient vector) by a sequence of polynomials $\{f_\epsilon\}$ that are sums of squares. The novelty is that each $f_\epsilon$ has a simple and explicit form in terms of $f$ and $\epsilon$.