Sufficient conditions for a real polynomial to be a sum of squares

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dc.creatorLasserre, Jean B.
dc.date2006-12-13
dc.date2007-01-11
dc.date.accessioned2026-07-07T07:39:48Z
dc.date.available2026-07-07T07:39:48Z
dc.descriptionWe provide explicit conditions for a real polynomial $f$ of degree 2d to be a sum of squares (s.o.s.), stated only in terms of the coefficients of $f$, i.e. with no lifting. All conditions are simple and provide an explicit description of a convex polyhedral subcone of the cone of s.o.s. polynomials of degree at most 2d. We also provide a simple condition to ensure that $f$ is s.o.s., possibly modulo a constant.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0612358
dc.identifierhttp://arxiv.org/abs/math/0612358
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121586
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject12E05 12Y05
dc.titleSufficient conditions for a real polynomial to be a sum of squares
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