English

应用科学学报 ›› 1995, Vol. 13 ›› Issue (3): 374-378.

• 论文 • 上一篇    

矩阵非奇准则和几个数值特征界的估计

黄廷祝1, 游兆永2   

  1. 1. 电子科学技术大学;
    2. 西安交通大学
  • 收稿日期:1993-05-07 修回日期:1993-08-02 出版日期:1995-09-30 发布日期:1995-09-30
  • 基金资助:

    电子科大青年科学基金资助项目

PONSINGULARITY AND BOUNDS FOR SOME NUMERICAL CHARACTERS OF MATRICES

HUANG TINZHTU1, HUANG TINZHTU, YOU ZHAOYONG2   

  1. 1. University of Electronic Science and Technelogy of China;
    2. Xi'an Jiao Tong University
  • Received:1993-05-07 Revised:1993-08-02 Online:1995-09-30 Published:1995-09-30

PDF

99

被引次数

9

摘要：

矩阵的重要数值特征界的估计和非奇准则在应用中具有重要意义,因而一直是人们广泛重视的课题。

关键词: P矩阵, 秩, M矩阵, 矩阵, 矩阵展形, 非奇异, 行列武

Abstract:

In this paper, we study the bounds for some important numerical characters of matrices.One of the results improves the well-known Mirsky inequality. The other results are better than the well-known Ky Fan-Hoffman inequality,Hada-mard inequality and Johnson-Newman inequality respectively in many cases. A criterion for the nonsingularity, and a sufficient condition for M-matrices andP-matrices is obtained.

Key words: inatrix rank, determinant, M-matrix, matrix spread, nonsingularity, P-matrix