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A sufficient conditions for global quadratic optimization

descriptionPublicationkeyboard_double_arrow_right Article 07 Jul 2020 Croatia Publisher:Croatian Operational Research SocietyJournal:Croatian Operational Research Review, volume 11 (issn: 1848-0225, eissn: 1848-9931, Copyright policy )
Authors: Mourad Naffouti; Abdeljelil Baccari;

doi: 10.17535/crorr.2020.0002

A sufficient conditions for global quadratic optimization

Abstract

This paper is devoted to global optimality conditions for quadratic optimization problems in a real space of dimension n. More precisely, we are concerned with nonconvex quadratic optimization problems with linear constraints. We present some sufficient conditions of global optimality for such problems subject to linear equality and inequality constraints. We prove that when the set of Karush-Kuhn-Tucker triplets of this problem is convex, then a local minimizer is global.

Country
Croatia
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Keywords

T57-57.97, Applied mathematics. Quantitative methods, global optimality conditions, convex sets, linear constraints, Quadratic programming, Optimality conditions and duality in mathematical programming, nonconvex quadratic optimization, Nonconvex programming, global optimization

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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Average
Published in a Diamond OA journal