A two-step new modulus-based matrix splitting method for vertical linear complementarity problem

In this paper, for solving the vertical linear complementarity problem (VLCP) effectively, a two-step new modulus-based matrix splitting (TNMMS) iteration method is introduced. Its convergence properties are discussed in depth. The efficiency of the proposed method is confirmed by some numerical experiments from the 2-D boundary problem. Numerical results show that the proposed method is superior to some existing methods, such as the two modulus-based matrix splitting (TMMS) iteration method (Numer. Algor., 2011, 57: 83-99) and the new modulus-based matrix splitting (NMMS) iteration method (Optim., 2023, 72: 2499-2516).

Automated summary

This paper introduces a new method for solving the vertical linear complementarity problem (VLCP) and confirms its efficiency and superiority through numerical experiments.