Duality for Nonconvex Approximation and Optimization

In this monograph the author presents the theory of duality for nonconvex approximation in normed linear spaces and nonconvex global optimization in locally convex spaces. Key topics include: * duality for worst approximation (i.e., the maximization of the distance of an element to a convex set) * d...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Singer, Ivan (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Colección:CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
Temas:
Operator theory.
Functional analysis.
Mathematical optimization.
Approximation theory.
Operator Theory.
Functional Analysis.
Optimization.
Approximations and Expansions.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preliminaries
  • Worst Approximation
  • Duality for Quasi-convex Supremization
  • Optimal Solutions for Quasi-convex Maximization
  • Reverse Convex Best Approximation
  • Unperturbational Duality for Reverse Convex Infimization
  • Optimal Solutions for Reverse Convex Infimization
  • Duality for D.C. Optimization Problems
  • Duality for Optimization in the Framework of Abstract Convexity
  • Notes and Remarks.

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