Abstract

Tridiagonal matrices appear frequently in mathematical models. In this paper, we derive the positive integer powers of special tridiagonal matrices of arbitrary order.

Highlights

  • Computing the integer powers of tridiagonal matrices has been a very popular problem

  • Rimas [7,8,9,10,11,12,13], investigated positive integer powers of certain tridiagonal matrices, Oteles and Akbulak [14, 15] and Gutierrez [16] generalized some papers of Rimas, and Wang [17] derived the entries of positive integer powers of complex persymmetric anti-tridiagonal matrices with constant antidiagonals

  • The data used to support the findings of this study are available from the corresponding author upon request

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Summary

Mohammad Beiranvand and Mojtaba Ghasemi Kamalvand

Received 18 May 2020; Revised 23 July 2020; Accepted 27 July 2020; Published 12 September 2020. We derive the positive integer powers of special tridiagonal matrices of arbitrary order

Introduction
Main Results
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