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应用科学学报 ›› 1996, Vol. 14 ›› Issue (3): 369-371.

• 论文 • 上一篇    下一篇

M矩阵的Oppenheim型不等式

黄廷祝   

  1. 电子科技大学
  • 收稿日期:1994-06-05 修回日期:1994-11-26 出版日期:1996-09-30 发布日期:1996-09-30
  • 作者简介:黄廷祝:副教授,电子科技大学应用数学系,成都 610054

OPPENHEIM-LIKE INEQUALITIES FOR M-MATRICES

HUANG TINZHU   

  1. University of Electronic Science and Technology of China
  • Received:1994-06-05 Revised:1994-11-26 Online:1996-09-30 Published:1996-09-30

PDF

77

被引次数

10

摘要： 该文获得了M矩阵的Oppenheim型不等式(该问题为公开问题),即
det (A·B)≥(Πi=1nbii) let A
其中A,B=(bij)为n阶一般地矩阵,A·B为A与B的Fan积.

关键词: M矩阵, Oppenheim不等式, 矩阵, 不等式, 行列式

Abstract: In this paper, the Oppenheim-like inequality for the general M-ma-trices is obtained, i.e., det(A·B) ≥ (Πi=1nbii) det A for general M-matrices A and B of order n.

Key words: matrix, inequality, determinant, M-matrix, Oppenheim inequality