Duality for Nonconvex Approximation and Optimization

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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.- References.- Index
The theory of convex optimization has been constantly developing over the past 30 years. Most recently, many researchers have been studying more complicated classes of problems that still can be studied by means of convex analysis, so-called "anticonvex" and "convex-anticonvex" optimizaton problems. This manuscript contains an exhaustive presentation of the duality for these classes of problems and some of its generalization in the framework of abstract convexity. This manuscript will be of great interest for experts in this and related fields.

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Autor: Ivan Singer
ISBN-13 :: 9781441921031
ISBN: 1441921036
Erscheinungsjahr: 23.11.2010
Verlag: Springer New York
Gewicht: 567g
Seiten: 376
Sprache: Englisch
Auflage Softcover reprint of hardcover 1st ed. 2006
Sonstiges: Taschenbuch, 235x155x20 mm
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