A two-step iteration method for solving vertical nonlinear complementarity problems

Abstract

In this paper, for vertical nonlinear complementarity problems, a two-step modulus-based matrix splitting iteration method is established by applying the two-step splitting technique to the modulus-based matrix splitting iteration method. The convergence theorems of the proposed method are given when the number of system matrices is larger than 2. Numerical results show that the convergence rate of the proposed method can be accelerated compared to the existing modulus-based matrix splitting iteration method.

Keywords

• vertical nonlinear complementarity problem
• two-step
• modulus-based method
• $ h $-splitting