TY - JOUR
T1 - Improved Inexact Alternating Direction Methods for a Class of Nonlinear Complementarity Problems
AU - He , Jiewen
AU - Zheng , Hua
AU - Vong , Seakweng
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 125
EP - 144
PY - 2021
DA - 2021/10
SN - 12
DO - http://doi.org/10.4208/eajam.150421.290721
UR - https://global-sci.org/intro/article_detail/eajam/19924.html
KW - Inexact alternating direction method, nonlinear complementarity problem, successive overrelaxation, iterative method, symmetric positive definite.
AB - <p style="text-align: justify;">Three types of improved inexact alternating direction methods for solving
nonlinear complementarity problems with positive definite matrices and nonlinear terms
are proposed. The convergence of the methods is proven. Numerical examples confirm
the theoretical analysis and show that the methods have advantages over similar existing
methods, especially in large size problems.</p>