Global Optimality Conditions for Classes of Non-convex Multi-objective Quadratic Optimization Problems

DOI10.1007/978-1-4419-0437-9_9zbMath1236.90111OpenAlexW463235WikidataQ59241558 ScholiaQ59241558MaRDI QIDQ2995269

Guoyin Li, Vaithilingam Jeyakumar, Gue Myung Lee

Publication date: 20 April 2011

Published in: Variational Analysis and Generalized Differentiation in Optimization and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4419-0437-9_9

zbMATH Keywords

hidden convexityglobal weak minimizers

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Quadratic programming (90C20) Optimality conditions and duality in mathematical programming (90C46)

Related Items (2)

Nonlinear programming via König's maximum theorem ⋮ A theorem of the alternative with an arbitrary number of inequalities and quadratic programming

Cites Work

• Non-convex quadratic minimization problems with quadratic constraints: global optimality conditions
• Lagrange multiplier necessary conditions for global optimality for non-convex minimization over a quadratic constraint via S-lemma
• A generalization of a minimax theorem of Fan via a theorem of the alternative
• Convexity of quadratic transformations and its use in control and optimization
• A survey of recent developments in multiobjective optimization
• Error bounds for eigenvalue and semidefinite matrix inequality systems
• Alternative Theorems for Quadratic Inequality Systems and Global Quadratic Optimization
• Optimality Conditions for the Minimization of a Quadratic with Two Quadratic Constraints
• On Local Solutions of the Celis--Dennis--Tapia Subproblem
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