Email this article On Wielandt type inequalities for powers of complex matrices
- Authors: Al’pin Y.A.1, Il’in S.N.1
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Affiliations:
- N.I. Lobachevskii Institute of Mathematics and Mechanics
- Issue: Vol 37, No 6 (2016)
- Pages: 749-752
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198474
- DOI: https://doi.org/10.1134/S1995080216060093
- ID: 198474
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Abstract
The criterion for coincidence of spectral radiuses of a complex matrix A and of the matrix |A| obtained by replacing entries of A by their absolute values was given by Wielandt. In this paper we give the new criterion for the above coincidence.
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About the authors
Yu. A. Al’pin
N.I. Lobachevskii Institute of Mathematics and Mechanics
Author for correspondence.
Email: Yuri.Alpin@kpfu.ru
Russian Federation, Kremlevskaya ul. 18, Kazan, Tatarstan, 420008
S. N. Il’in
N.I. Lobachevskii Institute of Mathematics and Mechanics
Email: Yuri.Alpin@kpfu.ru
Russian Federation, Kremlevskaya ul. 18, Kazan, Tatarstan, 420008
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