Combined Relaxation Methods for Variational Inequalities:
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...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2001
|
| Edition: | 1st ed. 2001 |
| Series: | Lecture Notes in Economics and Mathematical Systems
495 |
| Subjects: | |
| Online Access: | BTU01 Volltext |
| Summary: | 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 |
| Physical Description: | 1 Online-Ressource (XI, 184 p) |
| ISBN: | 9783642568862 |
| DOI: | 10.1007/978-3-642-56886-2 |
Staff View
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| 520 | |a 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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| index_date | 2024-07-03T15:15:36Z |
| indexdate | 2024-07-10T08:56:08Z |
| institution | BVB |
| isbn | 9783642568862 |
| language | English |
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| physical | 1 Online-Ressource (XI, 184 p) |
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| publisher | Springer Berlin Heidelberg |
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| series2 | Lecture Notes in Economics and Mathematical Systems |
| spelling | Konnov, Igor Verfasser aut Combined Relaxation Methods for Variational Inequalities by Igor Konnov 1st ed. 2001 Berlin, Heidelberg Springer Berlin Heidelberg 2001 1 Online-Ressource (XI, 184 p) txt rdacontent c rdamedia cr rdacarrier Lecture Notes in Economics and Mathematical Systems 495 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 Operations Research/Decision Theory Economic Theory/Quantitative Economics/Mathematical Methods Analysis Operations research Decision making Economic theory Mathematical analysis Analysis (Mathematics) Variationsungleichung (DE-588)4187420-1 gnd rswk-swf Relaxationsmethode (DE-588)4451085-8 gnd rswk-swf Variationsungleichung (DE-588)4187420-1 s Relaxationsmethode (DE-588)4451085-8 s DE-604 Erscheint auch als Druck-Ausgabe 9783540679998 Erscheint auch als Druck-Ausgabe 9783642568879 https://doi.org/10.1007/978-3-642-56886-2 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Konnov, Igor Combined Relaxation Methods for Variational Inequalities Operations Research/Decision Theory Economic Theory/Quantitative Economics/Mathematical Methods Analysis Operations research Decision making Economic theory Mathematical analysis Analysis (Mathematics) Variationsungleichung (DE-588)4187420-1 gnd Relaxationsmethode (DE-588)4451085-8 gnd |
| subject_GND | (DE-588)4187420-1 (DE-588)4451085-8 |
| title | Combined Relaxation Methods for Variational Inequalities |
| title_auth | Combined Relaxation Methods for Variational Inequalities |
| title_exact_search | Combined Relaxation Methods for Variational Inequalities |
| title_exact_search_txtP | Combined Relaxation Methods for Variational Inequalities |
| title_full | Combined Relaxation Methods for Variational Inequalities by Igor Konnov |
| title_fullStr | Combined Relaxation Methods for Variational Inequalities by Igor Konnov |
| title_full_unstemmed | Combined Relaxation Methods for Variational Inequalities by Igor Konnov |
| title_short | Combined Relaxation Methods for Variational Inequalities |
| title_sort | combined relaxation methods for variational inequalities |
| topic | Operations Research/Decision Theory Economic Theory/Quantitative Economics/Mathematical Methods Analysis Operations research Decision making Economic theory Mathematical analysis Analysis (Mathematics) Variationsungleichung (DE-588)4187420-1 gnd Relaxationsmethode (DE-588)4451085-8 gnd |
| topic_facet | Operations Research/Decision Theory Economic Theory/Quantitative Economics/Mathematical Methods Analysis Operations research Decision making Economic theory Mathematical analysis Analysis (Mathematics) Variationsungleichung Relaxationsmethode |
| url | https://doi.org/10.1007/978-3-642-56886-2 |
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