中文

Journal of Applied Sciences ›› 1995, Vol. 13 ›› Issue (3): 374-378.

• Articles • Previous Articles    

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

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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