A new kind of modulus-based matrix splitting methods is proposed to solve the vertical linear complementarity problems in a direct way. This kind of methods is different from the existing modulus-based formulation which based on an equivalent form of the problem. Convergence of the new methods is proved under certain conditions. Numerical experiments are given to show that the efficiency of the new methods is better than existing ones.

中文翻译：

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一种新的基于模的垂直线性互补问题矩阵分裂方法

为了直接解决垂直线性互补问题，提出了一种新的基于模的矩阵分裂方法。这种方法不同于现有的基于问题的等价形式的基于模量的公式。在一定条件下证明了新方法的收敛性。数值实验表明新方法的效率优于现有方法。