Abstract: The generalized H-matrices has extensive applications in many subjects，such as the convergence of iterative schemes for linear systems arising in the numerical solution of partial differential equations.It is proved that the Hadmard product of generalized M-matrices is generalized M-matrices，and the Hadmard product of generalized H-matrices is generalized H-matrices.Generalized iterative methods for linear systems and their application are extended.

Key words: generalized M-matrix, generalized H-matrix, Hadmard product

摘要： 广义H-矩阵的理论在许多实际问题的研究中有着非常重要的作用，如偏微分方程数值求解中出现的线性方程组的块迭代法的收敛性问题。讨论了广义M-矩阵的Hadmard积还是广义M-矩阵，广义H-矩阵的Hadmard积还是广义H-矩阵。改进了线性方程组的广义迭代方法及其应用。

关键词: 广义M-矩阵, 广义H-矩阵, Hadmard积