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On Wielandt type inequalities for powers of complex matrices


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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.

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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