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

Beiranvand, Mohammad and Kamalvand, Mojtaba Ghasemi and Zhang, Yao Zhong (2022) Positive Integer Powers of Certain Tridiagonal Matrices and Corresponding Anti-Tridiagonal Matrices. Advances in Mathematical Physics, 2022. pp. 1-5. ISSN 1687-9120

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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.

Item Type: Article
Subjects: GO for STM > Mathematical Science
Depositing User: Unnamed user with email support@goforstm.com
Date Deposited: 12 Jan 2023 11:54
Last Modified: 06 Sep 2023 04:12
URI: http://archive.article4submit.com/id/eprint/40

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