A simple proof of some inequalities for matrices with positive definite Hermitian part

被引:0
作者
He, Gan-Tong [1 ]
机构
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
来源
PROCEEDINGS OF THE 14TH CONFERENCE OF INTERNATIONAL LINEAR ALGEBRA SOCIETY | 2007年
关键词
positive definite matrix; matrix inequality; Hermitian part;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
C. R. Johnson in [1] presented several matrix inequalities with its symmetric part is positive definite. In this note, we give a simple proof for those inequalities and extend some of them to complex matrices.
引用
收藏
页码:63 / 65
页数:3
相关论文
共 4 条
  • [1] HE GT, 2000, J MATH RES EXPOSITIO, V22, P79
  • [2] Horn R. A., 1986, Matrix analysis
  • [3] Johnson, 1973, LINEAR ALGEBRA APPL, V6, P13
  • [4] Some inequalities for Schur complements
    Liu, JZ
    Wang, J
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 293 (1-3) : 233 - 241