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 - <p style="text-align: justify;">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.</p>