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.

DOI10.1016/j.amc.2006.09.078zbMath1141.65360OpenAlexW2071900292MaRDI QIDQ883974

Jonas Rimas

Publication date: 12 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.09.078

zbMATH Keywords

Chebyshev polynomialseigenvalueseigenvectorsinversetridiagonal matrices

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Canonical forms, reductions, classification (15A21)

Related Items (5)

A multi-temperature kinetic Ising model and the eigenvalues of some perturbed Jacobi matrices ⋮ On some interesting properties of a special type of tridiagonal matrices ⋮ Positive integer powers of certain tridiagonal matrices and corresponding anti-tridiagonal matrices ⋮ Unnamed Item ⋮ Integer powers of certain complex tridiagonal matrices and some complex factorizations

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 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 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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