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
Autor principal: Singer, Ivan, 1929-2020, mathématicien
Formato: Livre numérique
Lenguaje:Anglais
Publicado: New York, NY : Springer New York 2006.
Cham : Springer Nature
Colección:CMS Books in Mathematics, Ouvrages de mathématiques de la SMC
Materias:
Acceso en línea:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Duality for Nonconvex Approximation and Optimization, Texte imprimé, 9780387283944
• Duality for Nonconvex Approximation and Optimization, Texte imprimé, 9780387509105
• Duality for Nonconvex Approximation and Optimization, Texte imprimé, 9781441921031
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.