TY - JOUR T1 - Two-Step Modulus-Based Synchronous Multisplitting Iteration Methods for Nonlinear Complementarity Problems AU - Yan , Gui-Lin AU - Wu , Yu-Jiang AU - Yang , Ai-Li AU - Jomah , Sulieman A. S. JO - East Asian Journal on Applied Mathematics VL - 2 SP - 449 EP - 469 PY - 2022 DA - 2022/02 SN - 12 DO - http://doi.org/10.4208/eajam.200721.250122 UR - https://global-sci.org/intro/article_detail/eajam/20264.html KW - Nonlinear complementarity problem, two-step modulus-based synchronous multisplitting, iteration method, $H_+$-matrix, $H$-splitting. AB -

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.