Some Properties of the Lozinskii Logarithmic Norm

被引：0
|
作者：
Kleshchina, O. I. [1 ]
机构：
[1] Voronezh State Univ, Voronezh 394006, Russia
来源：
DIFFERENTIAL EQUATIONS | 2017年 / 53卷 / 06期
关键词：
D O I：
10.1134/S0012266117060015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study properties of the logarithmic matrix norm. We obtain new estimates for matrix norms as well as for the spectral radius and the spectral abscissa. We give a new proof of the Fiedler theorem and a block test for the Hurwitz property of a matrix based on the theory of nonnegative and off-diagonal-nonnegative matrices.
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页码：709 / 718
页数：10
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