descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Dec 2020Publisher:Tbilisi Centre for Mathematical SciencesJournal:Tbilisi Mathematical Journal, volume 13 (issn: 1875-158X,

Authors: Caratelli, Diego; Ricci, Paolo Emilio;

doi: 10.32513/tbilisi/1608606052

A note on integer powers of a companion matrix and applications

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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.

Keywords

matrix powers, 15A15, Dunford-Taylor integral, companion matrix, 65Q30, 30E20, matrix functions

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