Relaxed Modulus-Based Matrix Splitting Methods for the Linear Complementarity Problem
Shi-Liang Wu, Cui-Xia Li, Praveen Agarwal · Symmetry · 2021
In this paper, we obtain a new equivalent fixed-point form of the linear complementarity problem by introducing a relaxed matrix and establish a class of relaxed modulus-based matrix splitting iteration methods for solving the linear complementarity problem. Some sufficient conditions for guaranteeing the convergence of relaxed modulus-based matrix splitting iteration methods are presented. Numerical examples are offered to show the efficacy of the proposed methods.