Email this article On the spectral abscissa and the logarithmic norm
- Authors: Perov A.I.1, Kostrub I.D.1
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Affiliations:
- Voronezh State University
- Issue: Vol 101, No 3-4 (2017)
- Pages: 677-687
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150025
- DOI: https://doi.org/10.1134/S0001434617030257
- ID: 150025
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Abstract
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.
About the authors
A. I. Perov
Voronezh State University
Author for correspondence.
Email: anperov@mail.ru
Russian Federation, Voronezh
I. D. Kostrub
Voronezh State University
Email: anperov@mail.ru
Russian Federation, Voronezh
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