Topological Aspects of Nonsmooth Optimization

Specificaties
Paperback, 196 blz. | Engels
Springer New York | 2012e druk, 2014
ISBN13: 9781493900695
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Springer New York 2012e druk, 2014 9781493900695
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Samenvatting

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. ​​

Specificaties

ISBN13:9781493900695
Taal:Engels
Bindwijze:paperback
Aantal pagina's:196
Uitgever:Springer New York
Druk:2012

Inhoudsopgave

<p>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. </p>

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        Topological Aspects of Nonsmooth Optimization