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• W2951921640 abstract "Let $C$ be a proper convex cone generated by a compact set which supports a measure $mu$. A construction due to A.Barvinok, E.Veomett and J.B. Lasserre produces, using $mu$, a sequence $(P_k)_{kin mathbb{N}}$ of nested spectrahedral cones which contains the cone $C^*$ dual to $C$. We prove convergence results for such sequences of spectrahedra and provide tools for bounding the distance between $P_k$ and $C^*$. These tools are especially useful on cones with enough symmetries and allow us to determine bounds for several cones of interest. We compute such upper bounds for semidefinite approximations of cones over traveling salesman polytopes and for cones of nonnegative ternary sextics and quaternary quartics." @default.
• W2951921640 created "2019-06-27" @default.
• W2951921640 creator A5073183448 @default.
• W2951921640 creator A5079780451 @default.
• W2951921640 date "2014-09-29" @default.
• W2951921640 modified "2023-09-27" @default.
• W2951921640 title "Semidefinite approximations of conical hulls of measured sets" @default.
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• W2951921640 hasPublicationYear "2014" @default.
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