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.
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