Topological Aspects of Nonsmooth Optimization

Vladimir Shikhman

ISBN 10: 1461418968 / ISBN 13: 9781461418962

Edité par Springer New York, Springer US, 2011

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - 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.

N° de réf. du vendeur 9781461418962

Détails bibliographiques

• Titre: Topological Aspects of Nonsmooth Optimization
• Éditeur: Springer New York, Springer US
• Date de parution: 2011
• Langue: anglais
• ISBN à 10 chiffres: 1461418968
• ISBN à 13 chiffres: 9781461418962
• Reliure: Buch
• État de l'article: Neu
• Dimensions: 241 L x 160 H x 15 P (en millimètres) 241 millimètres de largeur par 160 millimètres de hauteur par 15 millimètres de profondeur
• Poids: 483 grammes

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.