Characterizing existence of minimizers and optimality to nonconvex quadratic integrals
type: Item
instance of: scholarly article
title: Characterizing existence of minimizers and optimality to nonconvex quadratic integrals
zbMATH Open document ID: 1475.90056
author: Luis González-Valencia
author: Fabián Flores-Bazan
published in: Journal of Optimization Theory and Applications
publication date: 2021-06-15T00:00:00Z
review text: The aim of this paper is to minimizing the integral of a (not necessarily convex) quadratic function in a bounded subset of nonnegative integrable functions defined on a finite-dimensional space that is not compact with respect to any (locally convex) topology in the space of integrable functions. As a special case, the proposed model can be applied to a standard quadratic optimization problem. The authors investigate optimality conditions for nonconvex quadratic integral functionals, and characterize the existence of minimizers and optimality. They also provide some numerical examples to show the applicability of their approach.
reviewed by: Morteza Pakdaman
Mathematics Subject Classification ID: 90C25
Mathematics Subject Classification ID: 90C26
zbMATH DE Number: 7359120
zbMATH Keywords: nonconvex optimization
zbMATH Keywords: quadratic optimization
zbMATH Keywords: Lyapunov theorem
zbMATH Keywords: Hamiltonian
zbMATH Keywords: strong duality
MaRDI profile type: Publication
full work available at URL: s10957-020-01794-8
OpenAlex ID: W3119478418
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DOI: 10.1007/S10957-020-01794-8
description: scientific article; zbMATH DE number 7359120