Infimum of a Matrix Norm of A Induced by an Absolute Vector Norm

被引：0
|
作者：
Friedland, Shmuel [1 ]
机构：
[1] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA
来源：
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2022年 / 46卷 / 06期
关键词：
Absolute norm; Matrix norm; Nonnegative matrices; Spectral radius;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We characterize the infimum of a matrix norm of a square matrix A induced by an absolute norm, over the fields of real and complex numbers. Usually this infimum is greater than the spectral radius of A. If A is sign equivalent to a nonnegative matrix B then this infimum is the spectral radius of B.
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页码：713 / 720
页数：8
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