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Modulus-Based Multisplitting Iteration Methods for a Class of Nonlinear Complementarity Problems

Modulus-Based Multisplitting Iteration Methods for a Class of Nonlinear Complementarity Problems
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Year:    2018

East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 3 : pp. 519–530

Abstract

Modulus-based multisplitting iterative methods for large sparse nonlinear complementarity problems are developed. The approach is based on a reformulation of nonlinear complimentarily problems as implicit fixed-point equations and includes Jacobi, Gauss-Seidel and SOR iteration methods. For systems with positive definite matrices the convergence of the methods is proved. The methods are suitable for implementation on multiprocessor systems and numerical experiments confirm their high efficiency.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.300717.210318

East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 3 : pp. 519–530

Published online:    2018-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Nonlinear complementarity problem modulus-based multisplitting methods.

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