TY - JOUR
T1 - Modulus-Based Multisplitting Iteration Methods for a Class of Nonlinear Complementarity Problems
AU - Hong-Ru Xu, Rongliang Chen, Shui-Lian Xie & Lei Wu
JO - East Asian Journal on Applied Mathematics
VL - 3
SP - 519
EP - 530
PY - 2018
DA - 2018/08
SN - 8
DO - http://doi.org/10.4208/eajam.300717.210318
UR - https://global-sci.org/intro/article_detail/eajam/12623.html
KW - Nonlinear complementarity problem, modulus-based multisplitting methods.
AB - <p style="text-align: justify;">Modulus-based multisplitting iterative methods for large sparse nonlinear
complementarity problems are developed. The approach is based on a reformulation
of nonlinear complimentarily problems as implicit fixed-point equations and includes
Jacobi, Gauss-Seidel and SOR iteration methods. For systems with positive definite
matrices the convergence of the methods is proved. The methods are suitable for implementation
on multiprocessor systems and numerical experiments confirm their high
efficiency.</p>