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December 2020 A note on integer powers of a companion matrix and applications
Diego Caratelli, Paolo Emilio Ricci
Tbilisi Math. J. 13(4): 103-111 (December 2020). DOI: 10.32513/tbilisi/1608606052

Abstract

The recursive computation of the entries of integer powers of a companion matrix are extended to the general case of an infinite-type matrix and the possibility to compute matrix functions of a companion matrix by using the Dunford-Taylor integral is shown.

Citation

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Diego Caratelli. Paolo Emilio Ricci. "A note on integer powers of a companion matrix and applications." Tbilisi Math. J. 13 (4) 103 - 111, December 2020. https://doi.org/10.32513/tbilisi/1608606052

Information

Received: 18 June 2020; Accepted: 25 September 2020; Published: December 2020
First available in Project Euclid: 22 December 2020

MathSciNet: MR4194231
Digital Object Identifier: 10.32513/tbilisi/1608606052

Subjects:
Primary: 15A15
Secondary: 30E20, ‎65Q30

Rights: Copyright © 2020 Tbilisi Centre for Mathematical Sciences

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Vol.13 • No. 4 • December 2020
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