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 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 -

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.