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

• 研究、探讨 • 上一篇    下一篇

几类特殊矩阵的Hadmard积

周立新1,朱 砾2   

  1. 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. 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: 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