On computing of arbitrary positive integer powers for one type of tridiagonal matrices

DOI10.1016/J.AMC.2003.12.080zbMath1062.65050OpenAlexW2038289143MaRDI QIDQ1764753

Jonas Rimas

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.080

zbMATH Keywords

Chebyshev polynomialseigenvalueseigenvectorstridiagonal matricesJordan's form

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50)

Related Items (9)

A multi-temperature kinetic Ising model and the eigenvalues of some perturbed Jacobi matrices ⋮ On computing of arbitrary positive integer powers for one type of even order tridiagonal matrices with eigenvalues on imaginary axis. I. ⋮ On computing of arbitrary positive integer powers for one type of even order tridiagonal matrices with eigenvalues on imaginary axis. II. ⋮ Positive integer powers of certain tridiagonal matrices and corresponding anti-tridiagonal matrices ⋮ On computing of arbitrary positive integer powers for one type of odd order tridiagonal matrices with two zero rows. I. ⋮ Positive integer powers of certain complex tridiagonal matrices ⋮ On computing of arbitrary positive integer powers for one type of even order symmetric anti-pentadiagonal matrices ⋮ Remarks on the eigenpairs of some Jacobi matrices ⋮ Integer powers of certain complex tridiagonal matrices and some complex factorizations

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