J4 ›› 2010, Vol. 48 ›› Issue (02): 226-228.

• 数学 • 上一篇    下一篇

非 奇 异 H-矩 阵 的 判 定

郭丽1,2   

  1. 1. 吉林大学 数学研究所, 长春 130012|2. 北华大学 数学学院, 吉林 吉林 132013
  • 收稿日期:2010-01-22 出版日期:2010-03-26 发布日期:2010-03-22
  • 通讯作者: 郭丽 E-mail:guomingli95@163.com

Criteria for Nonsingular H-Matrices

GUO Li1,2   

  1. 1. Institute of Mathematics, Jilin University, Changchun 130012, China;2. College of Mathematics, Beihua University, Jilin 132013, Jilin Province, China
  • Received:2010-01-22 Online:2010-03-26 Published:2010-03-22
  • Contact: GUO Li E-mail:guomingli95@163.com

摘要:

利用不可约对角占优矩阵和具有非零元素链的对角占优矩阵均为非奇异H-矩阵的性质, 给出了关于非奇异H矩阵的新的判定条件.

关键词: 非奇异H-矩阵, 对角占优矩阵, 不可约对角占优矩阵

Abstract:

 By means of the fact that irreducibly diagonally dominant matrices and diagonally dominant matrix with a chain of non\|zero elements are nonsingular H-matrices, two criteria for nonsingular H-matrices were presented, which improves related results in the literature.

Key words: nonsingular H-matrix, diagonally dominant matrix, irreducibly diagonally dominant matrix

中图分类号: 

  • O152.21