New Alternating Direction Method for a Class of Nonlinear Variational Inequality Problems

D.R. Han and H.K. Lo
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D.R. Han: Nanjing University
H.K. Lo: Hong Kong University of Science and Technology

Journal of Optimization Theory and Applications, 2002, vol. 112, issue 3, No 5, 549-560

Abstract: Abstract The alternating direction method is an attractive method for a class of variational inequality problems if the subproblems can be solved efficiently. However, solving the subproblems exactly is expensive even when the subproblem is strongly monotone or linear. To overcome this disadvantage, this paper develops a new alternating direction method for cocoercive nonlinear variational inequality problems. To illustrate the performance of this approach, we implement it for traffic assignment problems with fixed demand and for large-scale spatial price equilibrium problems.

Keywords: Cocoercive variational inequalities; alternating direction methods; traffic assignments; spatial price equilibria (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (12)

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DOI: 10.1023/A:1017964015910

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