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Topological Aspects of Nonsmooth Optimization

Name: Topological Aspects of Nonsmooth Optimization
Brand: Springer-Verlag New York Inc.
SKU: 01427098
Price: 108.55 EUR
Availability: InStock
Author: Vladimir Shikhman
ISBN: 9781461418962

Vladimir Shikhman

Língua

Inglês

Livro Livro de capa dura

Código Libristo: 01427098

Editoras Springer-Verlag New York Inc., novembro 2011

This book deals with nonsmooth structures arising within the optimization setting. It considers four... Descrição completa

Código Libristo: 01427098

263 b

108.55 €

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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.