Optimality conditions for homogeneous polynomial optimization on the unit sphere

DOI10.1007/s11590-022-01940-3zbMath1528.90182arXiv2111.01971OpenAlexW4303044663MaRDI QIDQ6097490

Lei Huang

Publication date: 5 June 2023

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.01971

zbMATH Keywords

optimality conditionshomogeneous polynomialsoptimization on the unit sphere

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Polynomial optimization (90C23)

Cites Work

• Optimality conditions and finite convergence of Lasserre's hierarchy
• The complexity of optimizing over a simplex, hypercube or sphere: a short survey
• Uniform denominators in Hilbert's seventeenth problem
• Homogeneous polynomials and spurious local minima on the unit sphere
• Convergence analysis of a Lasserre hierarchy of upper bounds for polynomial minimization on the sphere
• The sum-of-squares hierarchy on the sphere and applications in quantum information theory
• Global Optimization with Polynomials and the Problem of Moments
• Unnamed Item

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