Duality for Nonconvex Approximation and Optimization
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ISBN-13:
9781441921031
Veröffentl:
2010
Einband:
Paperback
Erscheinungsdatum:
23.11.2010
Seiten:
376
Autor:
Ivan Singer
Gewicht:
569 g
Format:
235x155x21 mm
Serie:
CMS Books in Mathematics
Sprache:
Englisch
Beschreibung:
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.
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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