A two-step matrix splitting method for the mixed linear complementarity problem

In this paper, on the base of the methodology of the new modulus-based matrix splitting method in Optim. Lett., (2022) 16:1427-1443], we establish a two-step matrix splitting (TMS) method for solving the mixed linear complementarity problem (MLCP). Two sufficient conditions to ensure the convergence of the proposed method are presented. Numerical examples are provided to illustrate the feasibility and efficiency of the proposed method.