Modulus-based matrix splitting methods for complex linear complementarity problem

Abstract

At present, the numerical solution of the complex linear complementarity problem (CLCP) by iteration methods is scanty. To fill in this gap, the goal of this paper is to establish a class of modulus-based matrix splitting methods for solving the CLCP by expressing the real form of the CLCP as the equivalent absolute value equations. Some sufficient conditions to guarantee the convergence of the proposed methods are provided. Numerical examples are offered to confirm the feasibility and efficiency of the proposed methods.