Semi-continuous quadratic optimization: existence conditions and duality scheme

John Cotrina (), Fernanda Raupp () and Wilfredo Sosa Sandoval ()

Journal of Global Optimization, 2015, vol. 63, issue 2, 295 pages

Abstract: In this work, we study the class of problems called semi-continuous optimization, which contains constrained minimization (maximization) problems with lower (upper) semi-continuous objective functions. We show some existence conditions for solutions based on asymptotic techniques, as well as a duality scheme based on the Fenchel–Moreau conjugation specifically applied to semi-continuous problems. Promising results are obtained, when we apply this scheme to minimize quadratic functions (whose Hessians can be symmetric indefinite) over nonempty, closed and convex polyhedral sets. Copyright Springer Science+Business Media New York 2015

Keywords: Existence conditions; Duality scheme; Semi-continuous optimization; Fenchel–Moreau conjugation; 90C20; 90C26; 90C46 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s10898-015-0306-3

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