Positive integer powers of certain tridiagonal matrices and corresponding anti-tridiagonal matrices

DOI10.1155/2022/8445721zbMath1500.15004OpenAlexW4285592541WikidataQ114067730 ScholiaQ114067730MaRDI QIDQ2166700

Mohammad Beiranvand, Mojtaba Ghasemi Kamalvand

Publication date: 24 August 2022

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/8445721

zbMATH Keywords

tridiagonal matricespositive integer powers

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Matrix exponential and similar functions of matrices (15A16)

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Cites Work

• Positive integer powers of one type of complex tridiagonal matrix
• On computing of arbitrary positive integer powers for one type of tridiagonal matrices of even order
• On computing of arbitrary positive integer powers for tridiagonal matrices with elements \(1, 0, 0,\dots, 0, 1\) in principal and \(1, 1, 1,\dots,1\) in neighbouring diagonals. II.
• On computing of arbitrary positive integer powers for one type of tridiagonal matrices
• On computing of arbitrary positive integer powers for tridiagonal matrices with elements \(-1,0,0,\dots ,0,1\) in principal and \(1,1,1,\dots,1\) in neighbouring diagonals. II.
• On computing of arbitrary positive integer powers for one type of even order tridiagonal matrices with eigenvalues on imaginary axis. I.
• Positive integer powers of certain complex tridiagonal matrices
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