A note on integer powers of a companion matrix and applications

Diego Caratelli; Paolo Emilio Ricci

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.

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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

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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

Keywords: companion matrix , dunford-Taylor integral , matrix functions , matrix powers

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