Combined Relaxation Methods for Variational Inequalities

Igor Konnov

ISBN 10: 3540679995 / ISBN 13: 9783540679998

Edité par Springer Berlin Heidelberg, 2000

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - 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.

N° de réf. du vendeur 9783540679998

Détails bibliographiques

• Titre: Combined Relaxation Methods for Variational Inequalities
• Éditeur: Springer Berlin Heidelberg
• Date de parution: 2000
• Langue: anglais
• ISBN à 10 chiffres: 3540679995
• ISBN à 13 chiffres: 9783540679998
• Reliure: Taschenbuch
• État de l'article: Neu
• Dimensions: 235 L x 155 H x 12 P (en millimètres) 235 millimètres de largeur par 155 millimètres de hauteur par 12 millimètres de profondeur
• Poids: 312 grammes

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Synopsis

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.