Semidefinite representation of convex hulls of rational varieties


Using elementary duality properties of positive semidefinite moment matrices and polynomial sum-of-squares decompositions, we prove that the convex hull of rationally parameterized algebraic varieties is semidefinite representable (that is, it can be represented as a projection of an affine section of the cone of positive semidefinite matrices) in the case… (More)


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@article{Henrion2009SemidefiniteRO, title={Semidefinite representation of convex hulls of rational varieties}, author={Didier Henrion}, journal={CoRR}, year={2009}, volume={abs/0901.1821} }