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.

引用

页码：709 / 718

页数：10

共 50 条

[31] Closure in the Logarithmic Bloch Norm of Dirichlet Type Spaces
Guanlong Bao
Zengjian Lou
Xiaojing Zhou
Complex Analysis and Operator Theory, 2021, 15
[32] CONVERGENCE IN NORM OF LOGARITHMIC MEANS OF MULTIPLE FOURIER SERIES
Goginava, Ushangi
Gogoladze, Larry
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2015, 18 (03): : 859 - 867
[33] NORM CONVERGENCE OF LOGARITHMIC MEANS ON UNBOUNDED VILENKIN GROUPS
Gat, Gyorgy
Goginava, Ushangi
BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2018, 12 (02) : 422 - 438
[34] The weighted logarithmic matrix norm and bounds of the matrix exponential
Hu, GD
Liu, MZ
LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 390 : 145 - 154
[35] ESTIMATES OF A SPHERICAL MATRIX FORM AND OF CORRESPONDING LOGARITHMIC NORM
LOZINSKI.SM
DOKLADY AKADEMII NAUK SSSR, 1965, 165 (04): : 763 - &
[36] Second logarithmic derivative of a complex matrix in the Chebyshev norm
Kohaupt, L
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2000, 21 (02) : 382 - 389
[37] Higher order logarithmic derivatives of matrices in the spectral norm
Bhatia, R
Elsner, L
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2003, 25 (03) : 662 - 668
[38] Closure in the Logarithmic Bloch Norm of Dirichlet Type Spaces
Bao, Guanlong
Lou, Zengjian
Zhou, Xiaojing
COMPLEX ANALYSIS AND OPERATOR THEORY, 2021, 15 (04)
[39] Hypercontractivity and the logarithmic Sobolev inequality for the completely bounded norm
Beigi, Salman
King, Christopher
JOURNAL OF MATHEMATICAL PHYSICS, 2016, 57 (01)
[40] Some properties of the computable cross-norm criterion for separability
Rudolph, O
PHYSICAL REVIEW A, 2003, 67 (03):

← 1 2 3 4 5 →