The weaker convergence of modulus-based synchronous multisplitting multi-parameters methods for linear complementarity problems

Abstract

In 2013, Bai and Zhang (2013) constructed modulus-based synchronous multisplitting methods by an equivalent reformulation of the linear complementarity problems into a system of fixed-point equations and studied their convergence. In this paper, we generalize Bai and Zhang’s methods and study modulus-based synchronous multisplitting multi-parameters methods for linear complementarity problems. Furthermore, the convergence results of our new method in this paper are weaker than those of Bai and Zhang’s when the system matrix is an H+-matrix.