Duality for Nonconvex Approximation and Optimization

• Main Author: Singer, Ivan (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2006.
• Series: CMS Books in Mathematics,
• Subjects: 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...

Table of Contents:

• 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.