@Article{NMTMA-12-709,
author = {Yu-Jiang Wu, Gui-Lin Yan and Ai-Li Yang},
title = {Modulus-Based Synchronous Multisplitting Iteration Methods for a Restricted Class of Nonlinear Complementarity Problems},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2019},
volume = {12},
number = {3},
pages = {709--726},
abstract = {<p style="text-align: justify;">A class of nonlinear complementarity problems are first reformulated into
a series of equivalent implicit fixed-point equations in this paper. Then we establish
a modulus-based synchronous multisplitting iteration method based on the fixed-point
equation. Moreover, several kinds of special choices of the iteration methods including
multisplitting relaxation methods such as extrapolated Jacobi, Gauss-Seidel, successive
overrelaxation (SOR), and accelerated overrelaxation (AOR) of the modulus type are
presented. Convergence theorems for these iteration methods are proven when the coefficient matrix $A$ is an $H_+$-matrix. Numerical results are also provided to confirm the
efficiency of these methods in actual implementations.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2017-0151},
url = {http://global-sci.org/intro/article_detail/nmtma/13127.html}
}