Topological Aspects of Nonsmooth Optimization

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Sprache: Englisch

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Beschreibung

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. ¿¿

Zusammenfassung

Establishes a comprehensive theory for a rather broad class of optimization problems tailored to their particular type of nonsmoothness

Considers four optimization problems and uses a topological approach ?

Handles various equilibrium optimization problems from the same topological point of view

Links ideas from singularity and transversality theory with nonsmooth optimization

Includes supplementary material: [...]

Inhaltsverzeichnis

Preface. -Notation.- Introduction.- Mathematical Programming Problems with Complementarity.- Constraints.- General Semi-infinite Programming Problems.- Mathematical Programming Problems with Vanishing Constraints.- Bilevel Optimization.- Impacts on Nonsmooth Analysis.- Appendix.- Bibliography.- References.- Index.

Details

Erscheinungsjahr:	2011
Fachbereich:	Allgemeines
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xii 196 S. 29 s/w Illustr.
ISBN-13:	9781461418962
ISBN-10:	1461418968
Sprache:	Englisch
Herstellernummer:	80083436
Einband:	Gebunden
Autor:	Shikhman, Vladimir
Hersteller:	Springer US Springer New York Springer US, New York, N.Y.
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 15 mm
Von/Mit:	Vladimir Shikhman
Erscheinungsdatum:	17.11.2011
Gewicht:	0,483 kg