TY - JOUR
T1 - On the Convergence of Two-Step Modulus-Based Matrix Splitting Iteration Methods for a Restricted Class of Nonlinear Complementarity Problems with $H_+$-Matrices
AU - Rui Li, Yan Wang & Junfeng Yin
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 1
SP - 128
EP - 139
PY - 2018
DA - 2018/11
SN - 11
DO - http://doi.org/10.4208/nmtma.OA-2017-0004
UR - https://global-sci.org/intro/article_detail/nmtma/10646.html
KW - 
AB - <p style="text-align: justify;">We propose the two-step modulus-based matrix splitting iteration methods for a class of nonlinear complementarity problems. The corresponding convergence theory is established when the system matrix is an $H_+$-matrix. Theoretical analysis gives the choice of parameter matrix involved based on the $H$-compatible splitting of the system matrix.
Moreover, in actual implementation, the choices of iterative parameters for two-step modulus-based accelerated overrelaxation methods are studied.
Numerical experiments show that the method is efficient and further verify the convergence theorems.</p>