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Combined Relaxation Methods for Variational Inequalities: 495 - Brossura
Libro 73 di 126: Lecture Notes in Economics and Mathematical Systems
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Variational inequalities proved to be a very useful and powerful tool for in vestigation and solution of many equilibrium type problems in Economics, Engineering, Operations Research and Mathematical Physics. In fact, varia tional inequalities for example provide a unifying framework for the study of such diverse problems as boundary value problems, price equilibrium prob lems and traffic network equilibrium problems. Besides, they are closely re lated with many general problems of Nonlinear Analysis, such as fixed point, optimization and complementarity problems. As a result, the theory and so lution methods for variational inequalities have been studied extensively, and considerable advances have been made in these areas. This book is devoted to a new general approach to constructing solution methods for variational inequalities, which was called the combined relax ation (CR) approach. This approach is based on combining, modifying and generalizing ideas contained in various relaxation methods. In fact, each com bined relaxation method has a two-level structure, i.e., a descent direction and a stepsize at each iteration are computed by finite relaxation procedures.
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Contenuti
Notation and Convention.- Variational Inequalities with Continuous Mappings.- Problem Formulation and Basic Facts; Main Idea of CR Methods; Implementable CR Methods; Modified Rules for Computing Iteration Parameters; CR Method Based on a Frank-Wolfe Type Auxiliary Procedure; CR Method for Variational Inequalities with Nonlinear Constraints; Variational Inequalities with Multivalued Mappings.- Problem Formulation and Basic Facts; CR Method for the Mixed Variational Inequality Problem; CR Method for the Generalized Variational Inequality Problem; CR Method for Multivalued Inclusions; Decomposable CR Method; Applications and Numerical Experiments.- Iterative Methods for Variational Inequalities with non Strictly Monotone Mappings; Economic Equilibrium Problems; Numerical Experiments with Test Problems; Auxiliary Results.- Feasible Quasi-Nonexpansive Mappings; Error Bounds for Linearly Constrained Problems; A Relaxation Subgradient Method Without Linesearch
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Book by Konnov Igor
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Variational inequalities proved to be a very useful and powerful tool for in vestigation and solution of many equilibrium type problems in Economics, Engineering, Operations Research and Mathematical Physics. In fact, varia tional inequalities for example provide a unifying framework for the study of such diverse problems as boundary value problems, price equilibrium prob lems and traffic network equilibrium problems. Besides, they are closely re lated with many general problems of Nonlinear Analysis, such as fixed point, optimization and complementarity problems. As a result, the theory and so lution methods for variational inequalities have been studied extensively, and considerable advances have been made in these areas. This book is devoted to a new general approach to constructing solution methods for variational inequalities, which was called the combined relax ation (CR) approach. This approach is based on combining, modifying and generalizing ideas contained in various relaxation methods. In fact, each com bined relaxation method has a two-level structure, i.e., a descent direction and a stepsize at each iteration are computed by finite relaxation procedures. 200 pp. Englisch. Codice articolo 9783540679998
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Variational inequalities proved to be a very useful and powerful tool for in vestigation and solution of many equilibrium type problems in Economics, Engineering, Operations Research and Mathematical Physics. In fact, varia tional inequalities for example provide a unifying framework for the study of such diverse problems as boundary value problems, price equilibrium prob lems and traffic network equilibrium problems. Besides, they are closely re lated with many general problems of Nonlinear Analysis, such as fixed point, optimization and complementarity problems. As a result, the theory and so lution methods for variational inequalities have been studied extensively, and considerable advances have been made in these areas. This book is devoted to a new general approach to constructing solution methods for variational inequalities, which was called the combined relax ation (CR) approach. This approach is based on combining, modifying and generalizing ideas contained in various relaxation methods. In fact, each com bined relaxation method has a two-level structure, i.e., a descent direction and a stepsize at each iteration are computed by finite relaxation procedures.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 200 pp. Englisch. Codice articolo 9783540679998
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Taschenbuch. Condizione: Neu. Combined Relaxation Methods for Variational Inequalities | Igor Konnov | Taschenbuch | Lecture Notes in Economics and Mathematical Systems | xi | Englisch | 2000 | Springer | EAN 9783540679998 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. Codice articolo 105614713
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