Duality for Nonconvex Approximation and Optimization

• Κύριος συγγραφέας: Singer, Ivan (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2006.
• Σειρά: CMS Books in Mathematics,
• Θέματα: Mathematics.; Approximation theory.; Functional analysis.; Operator theory.; Mathematical optimization.; Operator Theory.; Functional Analysis.; Optimization.; Approximations and Expansions.

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...

Πίνακας περιεχομένων:

• 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.