@Article{EAJAM-12-2, author = {Yan, Gui-Lin and Yu-Jiang, Wu and Yang, Ai-Li and Sulieman, S., Jomah, A.}, title = {Two-Step Modulus-Based Synchronous Multisplitting Iteration Methods for Nonlinear Complementarity Problems}, journal = {East Asian Journal on Applied Mathematics}, year = {2022}, volume = {12}, number = {2}, pages = {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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.200721.250122}, url = {https://global-sci.com/article/82476/two-step-modulus-based-synchronous-multisplitting-iteration-methods-for-nonlinear-complementarity-problems} }