中文摘要：

通过利用不动点迭代来研究线性互补问题，根据基模同步多重分裂迭代方法将其线性互补问题的系数矩阵是点的形式推广到块H＋的形式，并且分析了当系数矩阵是块矩阵时线性互补问题解的收敛情况。

英文摘要：

We studied the linear complementarity problem by using the fixed point iteration method in this paper. Its coefficient matrix was generalized from point form to block form,according to the modulus-based synchronous multi-splitting iteration methods. We also established the convergence theory of these modu- lus-based synchronous block multisptitting iteration methods when the coefficient matrix was a block ma- trix.