NORM INEQUALITIES OF DAVIDSON-POWER TYPE

被引：3
|
作者：
Al-Natoor, Ahmad [1 ]
Audeh, Wasim [2 ]
Kittaneh, Fuad [3 ]
机构：
[1] Isra Univ, Dept Math, Amman, Jordan
[2] Petra Univ, Dept Math, Amman, Jordan
[3] Univ Jordan, Dept Math, Amman, Jordan
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2020年 / 23卷 / 02期
关键词：
Concave function; positive semidefinite matrix; singular value; unitarily invariant norm; inequality;
D O I：
10.7153/mia-2020-23-57
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let A, B, and X be n x n complex matrices such that A and B are positive semidefinite. It is shown, among other inequalities, that parallel to AX + XB parallel to <= 1/2 max(parallel to A parallel to, parallel to XBX*parallel to) +1/2 max(parallel to X*AX parallel to, parallel to B parallel to) + parallel to A(1/2)XB(1/2)parallel to. This norm inequality extends an inequality of Kittaneh, which improves an earlier inequality of Davidson and Power.
引用
收藏
页码：689 / 697
页数：9
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