Mixed-Type Splitting Iterative Method for Linear Complementarity Problem

Abstract

In this paper, the authors first set up the mixed-type splitting iterative method for solving the linear complementarity problem. And then, some sufficient conditions for convergence of the mixed-type splitting iterative methods are presented, when the system matrix M is an H-matrix, M-matrix and a strictly or irreducible diagonally dominant matrix. Lastly, when M is an L-matrix, they discuss the monotone convergence of the new method.