SINGULAR VALUE AND NORM INEQUALITIES OF DAVIDSON-POWER TYPE

被引：8

作者：

Audeh, Wasim ^{[1
]}

机构：

[1] Petra Univ, Dept Math, Amman, Jordan

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2021年 / 15卷 / 03期

关键词：

Concave function; positive semidefinite matrix; singular value; unitarily invariant norm; inequality; SUMS;

D O I：

10.7153/jmi-2021-15-88

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A, B, X and Y be n x n complex matrices such that A and B are positive semidefinite, then parallel to AX + YB parallel to <= 1/4(parallel to W-1 parallel to + parallel to W-2 parallel to + W-4), where W-1 = A + A(1/2) vertical bar X*vertical bar(2)A(1/2), W-2 = B + B-1/2 vertical bar X*vertical bar B-2(1/2), and W-4 = (root parallel to W-1 parallel to -parallel to W-2 parallel to)(2) + 4 parallel to W-3 parallel to(2). Multiple results are given in this paper.

引用

页码：1311 / 1320

页数：10

共 15 条

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