Topological Aspects of Nonsmooth Optimization: 64 (Nonconvex Optimization and Its Applications) - Softcover

Shikhman, Vladimir

 
9781493900695: Topological Aspects of Nonsmooth Optimization: 64 (Nonconvex Optimization and Its Applications)
Softcover
ISBN 10: 1493900692 ISBN 13: 9781493900695
Verlag: Springer, 2014

Inhaltsangabe

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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Von der hinteren Coverseite

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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Verlag
Springer
Erscheinungsdatum
2014
Sprache
Englisch
ISBN 10 
1493900692
ISBN 13 
9781493900695
Einband
Tapa blanda
Anzahl der Seiten
208
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
CMN Printpool Inh. Mathis Neumann
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Hamburg
Deutschland

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9781461418962: Topological Aspects of Nonsmooth Optimization: 64 (Nonconvex Optimization and Its Applications)

Vorgestellte Ausgabe

ISBN 10:  1461418968 ISBN 13:  9781461418962
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Hardcover