@Article{NMTMA-11-128,
author = {Rui Li, Yan Wang and Junfeng Yin},
title = {On the Convergence of Two-Step Modulus-Based Matrix Splitting Iteration Methods for a Restricted Class of Nonlinear Complementarity Problems with $H_+$-Matrices},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2018},
volume = {11},
number = {1},
pages = {128--139},
abstract = {<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>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2017-0004},
url = {http://global-sci.org/intro/article_detail/nmtma/10646.html}
}