Topological Aspects of Nonsmooth Optimization (Springer Optimization and Its Applications: Nonconvex Optimization and Its Applications, Vol. 64)

Shikhman, Vladimir

ISBN 10: 1461418968 / ISBN 13: 9781461418962

Edité par U.S.A.: Springer, 2011

A propos de cet article

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Détails bibliographiques

• Titre: Topological Aspects of Nonsmooth Optimization (Springer Optimization and Its Applications: Nonconvex Optimization and Its Applications, Vol. 64)
• Éditeur: U.S.A.: Springer
• Date de parution: 2011
• Langue: anglais
• ISBN à 10 chiffres: 1461418968
• ISBN à 13 chiffres: 9781461418962
• Reliure: Soft cover
• Édition: 1st Edition
• État de l'article: New
• État de la jaquette: New

A propos de ce titre

Synopsis

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. ​

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Présentation de l'éditeur

Linking singularity and transversality theory with non-smooth optimization, this book examines complementarity-constrained mathematical programs, semi-infinite programming problems, mathematical programs with vanishing constraints, and bi-level optimization.