Semidefinite Representations of Noncompact Convex Sets

DOI10.1137/140952247zbMath1314.52006arXiv1401.1917OpenAlexW2038273034MaRDI QIDQ5252601

Lihong Zhi, Chu Wang, Feng Guo

Publication date: 2 June 2015

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.1917

zbMATH Keywords

sums of squaresconvex setstheta bodiesmoment matricessemidefinite representations

Mathematics Subject Classification ID

Semidefinite programming (90C22) Semialgebraic sets and related spaces (14P10) Approximation by convex sets (52A27)

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Cites Work

• The truncated moment problem via homogenization and flat extensions
• Minimizing rational functions by exact Jacobian SDP relaxation applicable to finite singularities
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• The moment problem for non-compact semialgebraic sets
• Lectures on Modern Convex Optimization
• Chapter 7: Spectrahedral Approximations of Convex Hulls of Algebraic Sets
• Theta Bodies for Polynomial Ideals
• Dualities in Convex Algebraic Geometry
• Linear matrix inequality representation of sets
• Sufficient and Necessary Conditions for Semidefinite Representability of Convex Hulls and Sets
• Optimization of Polynomial Functions
• Equivalent Subgradient Versions of Hamiltonian and Euler–Lagrange Equations in Variational Analysis
• Optimization of Polynomials on Compact Semialgebraic Sets
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