On semidefinite representations of plane quartics

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dc.creatorHenrion, Didier
dc.date2008-09-10
dc.date2008-09-22
dc.date.accessioned2026-07-07T10:03:57Z
dc.date.available2026-07-07T10:03:57Z
dc.descriptionThis note focuses on the problem of representing convex sets as projections of the cone of positive semidefinite matrices, in the particular case of sets generated by bivariate polynomials of degree four. Conditions are given for the convex hull of a plane quartic to be exactly semidefinite representable with at most 12 lifting variables. If the quartic is rationally parametrizable, an exact semidefinite representation with 2 lifting variables can be obtained. Various numerical examples illustrate the techniques and suggest further research directions.
dc.identifierhttps://arxiv.org/abs/0809.1826
dc.identifierhttp://arxiv.org/abs/0809.1826
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169482
dc.subjectOptimization and Control
dc.subject90C22,14H50
dc.titleOn semidefinite representations of plane quartics
dc.typetext

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