Positive Integer Powers of Certain Tridiagonal Matrices and Corresponding Anti-Tridiagonal Matrices

Mohammad Beiranvand, Mojtaba Ghasemi Kamalvand and Yao Zhong Zhang

Advances in Mathematical Physics, 2022, vol. 2022, 1-5

Abstract: In this paper, we firstly derive a general expression for the entries of the mth (m∈ℕ) power for two certain types of tridiagonal matrices of arbitrary order. Secondly, we present a method for computing the positive integer powers of the anti-tridiagonal matrix corresponding to these matrices. Also, we give Maple 18 procedures in order to verify our calculations.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:8445721

DOI: 10.1155/2022/8445721

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