Semi-continuous quadratic optimization: existence conditions and duality scheme

John Cotrina, Fernanda M.P. Raupp, Wilfredo Sosa

Producción científica: Contribución a una revistaArtículo de revista revisión exhaustiva

4 Citas (Scopus)

Resumen

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.
Idioma originalInglés
Páginas (desde-hasta)281-295
Número de páginas15
PublicaciónJournal of Global Optimization
Volumen63
N.º2
DOI
EstadoPublicada - 22 oct. 2015

Palabras clave

  • Duality scheme
  • Existence conditions
  • Fenchel–Moreau conjugation
  • Semi-continuous optimization

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