TY - JOUR T1 - Two-Step Modulus-Based Matrix Splitting Iteration Methods for a Class of Implicit Complementarity Problems JO - Numerical Mathematics: Theory, Methods and Applications VL - 3 SP - 867 EP - 883 PY - 2019 DA - 2019/04 SN - 12 DO - http://doi.org/10.4208/nmtma.OA-2018-0034 UR - https://global-sci.org/intro/article_detail/nmtma/13134.html KW - Implicit complementarity problems, modulus-based matrix splitting, $H_+$-matrix, convergence. AB -

Modulus-based matrix splitting iteration methods were recently proposed for solving implicit complementarity problems. In this paper, to solve a class of implicit complementarity problems, two-step modulus-based matrix splitting iteration methods are presented and analyzed. The convergence theorems are established when the system matrix is an $H$+-matrix. Numerical results show that the proposed methods are efficient and can accelerate the convergence performance with less iteration steps and CPU time.