A sum of squares approximation of nonnegative polynomials

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dc.creatorLasserre, Jean B.
dc.date2004-12-20
dc.date.accessioned2026-07-07T05:15:28Z
dc.date.available2026-07-07T05:15:28Z
dc.descriptionWe show that every real nonnegative polynomial $f$ can be approximated as closely as desired by a sequence of polynomials $\{f_ε\}$ that are sums of squares. Each $f_ε$ has a simple et explicit form in terms of $f$ and $ε$. A special representation is also obtained for convex polynomials, nonnegative on a convex semi-algebraic set.
dc.identifierhttps://arxiv.org/abs/math/0412398
dc.identifierhttp://arxiv.org/abs/math/0412398
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73643
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject11E25; 12D15; 13P05; 12Y05; 90C22; 90C25
dc.titleA sum of squares approximation of nonnegative polynomials
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