Two-Step Modulus-Based Matrix Splitting Iteration Methods for a Class of Implicit Complementarity Problems

Abstract

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.