Copositivity for second-order optimality conditions in general smooth optimization problems

DOI10.1080/02331934.2015.1083019zbMath1384.90074OpenAlexW2183154281MaRDI QIDQ2810093

Immanuel M. Bomze

Publication date: 31 May 2016

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2015.1083019

zbMATH Keywords

non-convex optimizationpolynomial optimizationcopositive matricesglobal optimality conditiontrust region problem

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Derivative-free methods and methods using generalized derivatives (90C56) Optimality conditions and duality in mathematical programming (90C46)

Related Items (7)

On equivalent representations and properties of faces of the cone of copositive matrices ⋮ First- and second-order optimality conditions for quadratically constrained quadratic programming problems ⋮ A General Regularized Continuous Formulation for the Maximum Clique Problem ⋮ Extensions of the standard quadratic optimization problem: strong duality, optimality, hidden convexity and S-lemma ⋮ On a conjecture in second-order optimality conditions ⋮ New constraint qualifications with second-order properties in nonlinear optimization ⋮ Does moral play equilibrate?

Cites Work

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• Local Minimizers of Quadratic Functions on Euclidean Balls and Spheres
• Necessary and sufficient conditions for quadratic minimality
• Copositive Relaxation Beats Lagrangian Dual Bounds in Quadratically and Linearly Constrained Quadratic Optimization Problems
• Optimality conditions for quadratic programming

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