On the spectral abscissa and the logarithmic norm

被引：0
|
作者：
A. I. Perov
I. D. Kostrub
机构：
[1] Voronezh State University,
来源：
Mathematical Notes | 2017年 / 101卷
关键词：
spectral radius and the norm of a matrix; spectral abscissa and the logarithmic norm of a matrix; Young’s inequality; Hölder’s inequality; Riesz theorem; Hölder norm;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, both well-known and new properties of the spectral abscissa and the logarithmic norm are described. In addition to well-known formulas for the norm of a matrix and for its logarithmic norm in cubic, octahedral, spherical norms, various estimates for these quantities in an arbitrary Ho¨ lder norm are proved.
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页码：677 / 687
页数：10
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