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Modulus-based Synchronous Multisplitting Iteration Methods for an Implicit Complementarity Problem

Part of: Partial differential equations, boundary value problems Nonlinear algebraic or transcendental equations Computer aspects of numerical algorithms

Published online by Cambridge University Press:  02 May 2017

Chen-Liang Li  and
Jun-Tao Hong
Chen-Liang Li*
Affiliation:
School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin and University of Electronic Technology, Guilin, Guangxi, China 541004
Jun-Tao Hong
Affiliation:
School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin and University of Electronic Technology, Guilin, Guangxi, China 541004
*
*Corresponding author. Email address:chenliang_li@hotmail.com (C.-L. Li)

Abstract

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We construct modulus-based synchronous multisplitting iteration methods to solve a large implicit complementarity problem on parallel multiprocessor systems, and prove their convergence. Numerical results confirm our theoretical analysis and show that these new methods are efficient.

Keywords

Implicit complementarity problemsynchronousiterative methodmodulus-based multisplitting

MSC classification

Secondary: 65Y05: Parallel computation 65H10: Systems of equations 65N55: Multigrid methods; domain decomposition

Information

Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 7 , Issue 2 , May 2017 , pp. 363 - 375
Copyright
Copyright © Global-Science Press 2017 

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