Email this article Some properties of the Lozinskii logarithmic norm
- Authors: Kleshchina O.I.1
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Affiliations:
- Voronezh State University
- Issue: Vol 53, No 6 (2017)
- Pages: 709-718
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154414
- DOI: https://doi.org/10.1134/S0012266117060015
- ID: 154414
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Abstract
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.
About the authors
O. I. Kleshchina
Voronezh State University
Author for correspondence.
Email: avdeeva.olga.official@gmail.com
Russian Federation, Voronezh, 394006
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