Duality for Nonconvex Approximation and Optimization
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ISBN-13:
9780387283944
Veröffentl:
2006
Erscheinungsdatum:
16.02.2006
Seiten:
356
Autor:
Ivan Singer
Gewicht:
652 g
Format:
245x159x22 mm
Sprache:
Englisch
Beschreibung:
In this monograph the author presents the theory of duality for
The theory of convex optimization has been developing constantly over the past 30 years. Recently, 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" optimization problems. This monograph contains an exhaustive presentation of the duality theory for these classes of problems and their generalizations.
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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