中文摘要：

研究了当系数矩阵的对角块为对称正定矩阵的块H矩阵时线性互补问题的数值求解。通过基于模分裂方法可将线性互补问题转化为只关于特殊向量模的不动点方程。结合块松驰迭代方法和基于模同步二级多重分裂迭代方法,将线性互补问题的系数矩阵是点的形式求解方法推广到块的形式,并且证明了新方法在满足适当条件下收敛。

英文摘要：

The linear complementarity problems have been considered is a block H matrix with the diagonal block symmetric positive definite. By in this paper, when the coefficient matrix splitting methods modulus-based, the linear complementarity problems can be transferred to fixed point systems of equations. Combining the block relaxed methods with modulus-based synchronous two-stage multi-splitting iteration methods, the generalized block form methods for solving the linear complementarity problems have been obtained. Moreover, we proved that the new methods will converge when some conditions are satisfied.