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{ "item_title" : "Combined Relaxation Methods for Variational Inequalities", "item_author" : [" Igor Konnov "], "item_description" : "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.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/3/54/067/999/3540679995_b.jpg", "price_data" : { "retail_price" : "54.99", "online_price" : "54.99", "our_price" : "54.99", "club_price" : "54.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Combined Relaxation Methods for Variational Inequalities|Igor Konnov

Combined Relaxation Methods for Variational Inequalities

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Overview

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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Details

  • ISBN-13: 9783540679998
  • ISBN-10: 3540679995
  • Publisher: Springer
  • Publish Date: October 2000
  • Dimensions: 9.21 x 6.14 x 0.42 inches
  • Shipping Weight: 0.63 pounds
  • Page Count: 184

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