NUMERICAL RANGE AND POSITIVE BLOCK MATRICES

被引：3
|
作者：
Bourin, Jean-Christophe [1 ]
Lee, Eun-Young [2 ]
机构：
[1] Univ Bourgogne Franche Comte, CNRS, Lab Math Besancon, UMR 6623, Besancon, France
[2] Kyungpook Natl Univ, KNU Ctr Nonlinear Dynam, Dept Math, Daegu 702701, South Korea
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2021年 / 103卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
numerical range; partitioned matrices; norm inequalities; INEQUALITIES; RADIUS; NORM;
D O I：
10.1017/S0004972720000520
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain several norm and eigenvalue inequalities for positive matrices partitioned into four blocks. The results involve the numerical range W(X) of the off-diagonal block X, especially the distance d from 0 to W(X). A special consequence is an estimate, diamW([(A)(X*) (X)(B)]) - diamW(A + B/2) >= 2d, between the diameters of the numerical ranges for the full matrix and its partial trace.
引用
收藏
页码：69 / 77
页数：9
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