Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (7): 953-960 .doi: https://doi.org/10.1007/s10483-008-0714-y

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关于“块H-矩阵与块矩阵的谱”一文的注记

刘建州,黄泽军   

  1. 湘潭大学 数学与计算科学学院,湖南 湘潭 411105
  • 收稿日期:2007-03-12 修回日期:2008-05-07 出版日期:2008-07-03 发布日期:2008-01-01
  • 通讯作者: 刘建州

A note on Block H-matrices and spectrum of block

LIU Jian-zhou, HUANG Ze-jun   

  1. Department of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, Hunan Province, P. R. China
  • Received:2007-03-12 Revised:2008-05-07 Online:2008-07-03 Published:2008-01-01
  • Contact: LIU Jian-zhou

摘要: 完善了“块H-矩阵与块矩阵的谱”一文中的主要结论。进一步给出了分块矩阵特征值的一个新包含域,并用实例说明了新结论的优越性。

关键词: 分块矩阵, 特征值, G-函数

Abstract: In this paper, we make further discussions and improvements on the results presented in the previously published work ``Block H-matrices and spectrum of block matrices''. Furthermore, a new bound for eigenvalues of block matrices is given with examples to show advantages of the new result.

Key words: G-function, block matrix, eigenvalue

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