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. I.

DOI10.1016/j.amc.2006.10.022zbMath1121.65046OpenAlexW4256259232MaRDI QIDQ2371473

Jonas Rimas

Publication date: 4 July 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.10.022

zbMATH Keywords

Chebyshev polynomialseigenvalueseigenvectorstridiagonal matricesJordan's form

Mathematics Subject Classification ID

Related Items (1)

Eigenpairs of a family of tridiagonal matrices: three decades later

Cites Work

• 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 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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