On the monotone convergence of matrix multisplitting relaxation methods for the linear complementarity problem

The monotone convergence of the parallel matrix multisplitting relaxation method for linear complementarity problems (see Bai, Z. Z. and Evans, D. J. 1997 Int. J. Comput. Math. 63, 309-326) is discussed, and the corresponding comparison theorem about the monotone convergence rate of this method is thoroughly established.