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J4 ›› 2010, Vol. 45 ›› Issue (4): 43-47.

• 论文 • 上一篇    下一篇

 严格对角占优M-矩阵的‖A-1上界的一个新的估计式

王亚强1,李耀堂1*,孙小军2,李艳艳1   

  1. 1. 云南大学数学与统计学院数学系, 云南 昆明 650091; 2. 宝鸡文理学院数学系, 陕西 宝鸡 721013
  • 收稿日期:2009-07-10 出版日期:2010-04-10 发布日期:2010-05-19

A  new upper bound for ‖A-1 of a strictly diagonally dominant M-matrix

WANG Ya-qiang1, LI Yao-tang1*,SUN Xiao-jun2, LI Yan-yan1   

  1. 1. School of Mathematics and Statistics, Yunnan University,  Kunming 650091, Yunnan, China;
    2. Department of Mathematics, Baoji University of Arts and Sciences, Baoji 721013, Shaanxi, China
  • Received:2009-07-10 Online:2010-04-10 Published:2010-05-19
  • Contact: LI Yaotang(1958-),male, professor, major in numerical algrbra.
  • About author:WANG Ya-qiang(1983-), male, master, major in numerical algrbra. Email: wyq-1002@163.com
  • Supported by:

    Supported by the Natural Science Foundation of China(No. 10961027) and the Key Foundation of Baoji University of Arts and Sciences (No.ZK0931)

摘要:

设A为严格对角占优的M-矩阵,给出了‖A-1的一个新的上界估计式,进而给出了A的最小特征值q(A)下界的一个估计式,这些新的估计式改进了已有的结果。

关键词: 对角占优;M-矩阵;逆M-矩阵

Abstract:

Let A be a real strictly diagonally dominant M-matrix. A new upper bound for ‖A-1 is given. Also, a lower bound of the smallest eigenvalue q(A) of A is presented, which  improves the results in the  literature.
 

Key words: diagonal dominance; M-matrix; inverse M-matrix    

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