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20042023
most citedHomogenization for polynomial optimization with unbounded sets

18 citations · 43 across the 26 of their papers we have counts for

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Showing 2007Show all

2 papers · 1 filter

math.OC2007★ 3 cited

Sufficient and Necessary Conditions for Semidefinite Representability of Convex Hulls and Sets

J. William Helton, Jiawang Nie

A set $S\subseteq \re^n$ is called to be {\it Semidefinite (SDP)} representable if equals the projection of a set in higher dimensional space which is describable by some Linea…

math.OC2007★ 6 cited

Semidefinite Representation of Convex Sets

J. William Helton, Jiawang Nie

Let $S =\{x\in \re^n: g_1(x)\geq 0, ..., g_m(x)\geq 0\}$ be a semialgebraic set defined by multivariate polynomials . Assume is convex, compact and has nonempty interio…