Non-Linear Interpolation of the Harmonic-Geometric-Arithmetic Matrix Means

被引：2
|
作者：
Trung Hoa Dinh [1 ]
Dumitru, Raluca [2 ]
Franco, Jose A. [2 ]
机构：
[1] Troy Univ, Dept Math, Troy, AL 36082 USA
[2] Univ North Florida, Dept Math & Stat, Jacksonville, FL 32224 USA
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2019年 / 40卷 / 01期
关键词：
Kubo-Ando means; symmetric means; norm inequalities; concavity;
D O I：
10.1134/S1995080219010062
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Bhatia, Lim, and Yamazaki conjectured that the Kubo-Ando extensions of means of numbers satisfy a norm minimality condition with respect to unitarily invariant norms. In this short note, we introduce a symmetric Kubo-Ando mean and a non-Kubo-Ando extension that do not satisfy this property.
引用
收藏
页码：101 / 105
页数：5
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