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

Mohammad Beiranvand and Mojtaba Ghasemi Kamalvand

Advances in Mathematical Physics, 2022, vol. 2022, issue 1

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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https://doi.org/10.1155/2022/8445721

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:8445721

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