On computing of arbitrary positive integer powers for one type of even order skew-symmetric tridiagonal matrices with eigenvalues on imaginary axis. I

DOI10.1016/j.amc.2005.05.024zbMath1090.65047OpenAlexW4256194804MaRDI QIDQ2489344

Jonas Rimas

Publication date: 16 May 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2005.05.024

zbMATH Keywords

Chebyshev polynomialsnumerical exampleseigenvalueseigenvectorstridiagonal matricesmatrix powersJordan's formskew-symmetric tridiagonal matrices

Mathematics Subject Classification ID

Related Items (9)

Powers of tridiagonal matrices with constant diagonals ⋮ On a constant-diagonals matrix ⋮ On computing the determinants and inverses of some special type of tridiagonal and constant-diagonals matrices ⋮ On computing of arbitrary positive integer powers for one type of even order tridiagonal matrices with eigenvalues on imaginary axis. II. ⋮ On computing of arbitrary positive integer powers for one type of even order skew-symmetric tridiagonal matrices with eigenvalues on imaginary axis. II ⋮ Binomial coefficients and powers of large tridiagonal matrices with constant diagonals ⋮ Singular value decomposition for bidiagonal filter matrices ⋮ Positive integer powers of certain tridiagonal matrices ⋮ Explicit eigenvalues of some perturbed heptadiagonal matrices via recurrent sequences

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