Diethard Ernst Pallaschke

(Author)

Foundations of Mathematical Optimization: Convex Analysis Without LinearityPaperback, 7 December 2010

Foundations of Mathematical Optimization: Convex Analysis Without Linearity
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Part of Series
Mathematics and Its Applications
Part of Series
Mathematics and Its Applications (Closed)
Print Length
585 pages
Language
English
Publisher
Springer
Date Published
7 Dec 2010
ISBN-10
9048148006
ISBN-13
9789048148004

Description

Many books on optimization consider only finite dimensional spaces. This volume is unique in its emphasis: the first three chapters develop optimization in spaces without linear structure, and the analog of convex analysis is constructed for this case. Many new results have been proved specially for this publication. In the following chapters optimization in infinite topological and normed vector spaces is considered. The novelty consists in using the drop property for weak well-posedness of linear problems in Banach spaces and in a unified approach (by means of the Dolecki approximation) to necessary conditions of optimality. The method of reduction of constraints for sufficient conditions of optimality is presented. The book contains an introduction to non-differentiable and vector optimization.
Audience: This volume will be of interest to mathematicians, engineers, and economists working in mathematical optimization.

Product Details

Authors:
Diethard Ernst PallaschkeS Rolewicz
Book Format:
Paperback
Country of Origin:
NL
Date Published:
7 December 2010
Dimensions:
23.39 x 15.6 x 3.07 cm
ISBN-10:
9048148006
ISBN-13:
9789048148004
Language:
English
Location:
Dordrecht
Pages:
585
Publisher:
Weight:
830.07 gm

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