Two-Step Modulus-Based Synchronous Multisplitting Iteration Methods for Nonlinear Complementarity Problems
Year: 2022
Author: Gui-Lin Yan, Yu-Jiang Wu, Ai-Li Yang, Sulieman A. S. Jomah
East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 2 : pp. 449–469
Abstract
Two-step modulus-based synchronous multisplitting and symmetric modulus-based synchronous multisplitting accelerated overrelaxation iteration methods are developed for solving large sparse nonlinear complementarity problems. The methods are based on the reformulation of the corresponding problem as a series of equivalent implicit fixed-point equations. This approach includes existing algorithms as special cases and present new models. The convergence of the methods is studied in the case of $H_+$ system matrices. Numerical results confirm the efficiency of the methods proposed.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.200721.250122
East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 2 : pp. 449–469
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Nonlinear complementarity problem two-step modulus-based synchronous multisplitting iteration method $H_+$-matrix $H$-splitting.