On computing of arbitrary positive integer powers for tridiagonal matrices with elements \(- 1,0,0,\dots,0\) in principal and \(1,1,1,\dots,1\) in neighbouring diagonals. I

DOI10.1016/j.amc.2007.03.051zbMath1193.15030OpenAlexW4252103307MaRDI QIDQ990593

Jonas Rimas

Publication date: 1 September 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.03.051

zbMATH Keywords

Chebyshev polynomialseigenvalueseigenvectorstridiagonal matricesJordan's form

Mathematics Subject Classification ID

Matrices of integers (15B36)

Related Items (2)

On computing of arbitrary positive powers for anti-tridiagonal matrices of even order ⋮ On the powers and the inverse of a tridiagonal matrix

Cites Work

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• On computing of arbitrary positive integer powers for one type of odd order symmetric circulant matrices. I
• On computing of arbitrary positive integer powers for one type of symmetric tridiagonal matrices of even order. II.
• On computing of arbitrary positive integer powers for one type of odd order symmetric circulant matrices. II
• On computing of arbitrary positive integer powers for one type of symmetric tridiagonal matrices of even order. I

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