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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 208 pp. Englisch. N° de réf. du vendeur 9781493900695
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Taschenbuch. Etat : Neu. 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 9781493900695
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -This bookdeals withnonsmooth 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 andbilevel optimization. The author uses thetopologicalapproachand 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 andestablishesacomprehensive theory for a rather broad class of optimization problems tailored to theirparticular type of nonsmoothness.Topological Aspects of Nonsmooth Optimization will benefit researchers and graduate studentsin applied mathematics, especially those workingin optimization theory, nonsmooth analysis, algebraic topology and singularity theory. ¿¿Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 208 pp. Englisch. N° de réf. du vendeur 9781493900695
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