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

• Articles • Previous Articles     Next Articles

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)

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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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