The Relaxation Modulus-Based Matrix Splitting Iteration Method for Horizontal Linear Complementarity Problems

In this paper, we establish the relaxation modulus-based matrix splitting (RMMS) iteration method for solving the horizontal linear complementarity problems, which has wide applications. The RMMS iteration method is obtained by applying the relaxation technique to the MMS iteration one developed recently, which contains the MMS one and improves the computing efficiency of the MMS one. Besides, we study the convergence conditions of the RMMS iteration method in details. Numerical experiments show that the proposed RMMS iteration method is feasible and effective, and it is superior to the MMS as well as the accelerated MMS ones in computing efficiency.