Vladimir Shikhman

(Author)

Topological Aspects of Nonsmooth Optimization (2012)Paperback - 2012, 25 January 2014

Topological Aspects of Nonsmooth Optimization (2012)
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Part of Series
Nonconvex Optimization and Its Applications
Part of Series
Springer Optimization and Its Applications
Part of Series
Springer Optimization and Its Applications / Nonconvex Optim
Print Length
196 pages
Language
English
Publisher
Springer
Date Published
25 Jan 2014
ISBN-10
1493900692
ISBN-13
9781493900695

Description

This book deals with nonsmooth structures arising within the optimization setting. It considers four optimization problems, namely, mathematical programs with complementarity constraints, general semi-infinite programming problems, mathematical programs with vanishing constraints and bilevel optimization. The author uses the topological approach and topological invariants of corresponding feasible sets are investigated. Moreover, the critical point theory in the sense of Morse is presented and parametric and stability issues are considered. The material progresses systematically and establishes a comprehensive theory for a rather broad class of optimization problems tailored to their particular type of nonsmoothness.

Topological Aspects of Nonsmooth Optimization will benefit researchers and graduate students in applied mathematics, especially those working in optimization theory, nonsmooth analysis, algebraic topology and singularity theory. ​

Product Details

Author:
Vladimir Shikhman
Book Edition:
2012
Book Format:
Paperback
Country of Origin:
NL
Date Published:
25 January 2014
Dimensions:
23.39 x 15.6 x 1.12 cm
ISBN-10:
1493900692
ISBN-13:
9781493900695
Language:
English
Location:
New York, NY
Pages:
196
Publisher:
Weight:
299.37 gm

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