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

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

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,...

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Veröffentlicht in:Advances in Mathematical Physics 2022-07, Vol.2022, p.1-5
Hauptverfasser: Beiranvand, Mohammad, Kamalvand, Mojtaba Ghasemi
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Eigenvalues
Integers
Numbers
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Zusammenfassung: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.
ISSN:1687-9120
1687-9139
DOI:10.1155/2022/8445721