几类特殊矩阵的Hadmard积

计算机工程与应用 ›› 2011, Vol. 47 ›› Issue (21): 55-57.

几类特殊矩阵的Hadmard积

周立新1，朱砾2

1.桂林航天工业高等专科学校计算机系，广西桂林 541004
2.湘潭大学数学与计算科学学院，湖南湘潭 411105

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2011-07-21 发布日期:2011-07-21

Properties of Hadmard product of some special matrices

ZHOU Lixin1，ZHU Li2

1.Department of Computer Science and Technology，Guilin College of Aerospace Technology，Guilin，Guangxi 541004，China
2.College of Mathematics and Computer Science，Xiangtan University，Xiangtan，Hunan 411105，China

Received:1900-01-01 Revised:1900-01-01 Online:2011-07-21 Published:2011-07-21

摘要/Abstract

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

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

周立新1，朱砾2. 几类特殊矩阵的Hadmard积[J]. 计算机工程与应用, 2011, 47(21): 55-57.

ZHOU Lixin1，ZHU Li2. Properties of Hadmard product of some special matrices[J]. Computer Engineering and Applications, 2011, 47(21): 55-57.