数学物理学报(英文版) ›› 2005, Vol. 25 ›› Issue (1): 112-118.

• 论文 • 上一篇    下一篇

REMARKS ON BRUALDI’S THEOREM FOR SPECTRUM INCLUSION REGION OF AN IRREDUCIBLE MATRIX

陈神灿   

  1. College of Mathematics and Computer Science, Fuzhou University
  • 出版日期:2005-01-20 发布日期:2005-01-20
  • 基金资助:

    This work is supported by the Natural Science Foundation of Fujian Education
    Committee (JA04157)

REMARKS ON BRUALDI’S THEOREM FOR SPECTRUM INCLUSION REGION OF AN IRREDUCIBLE MATRIX

 CHEN Shen-Can   

  • Online:2005-01-20 Published:2005-01-20
  • Supported by:

    This work is supported by the Natural Science Foundation of Fujian Education
    Committee (JA04157)

摘要:

This paper obtains a necessary and sufficient condition for an irreducible com-
plex matrix whose comparison matrix is a singular M-matrix to be singular. This is used
to establish a necessary and sufficient condition for a boundary point of Brualdi’s inclusion
region of the eigenvalues of an irreducible complex matrix to be an eigenvalue.

Abstract:

This paper obtains a necessary and sufficient condition for an irreducible com-
plex matrix whose comparison matrix is a singular M-matrix to be singular. This is used
to establish a necessary and sufficient condition for a boundary point of Brualdi’s inclusion
region of the eigenvalues of an irreducible complex matrix to be an eigenvalue.

Key words: M-matrix;irreducible circuit -diagonal dominant matrix;spectrum inclu-
sion region

中图分类号: 

  • 15A57