Positive integer powers of certain tridiagonal matrices

DOI10.1016/j.amc.2008.01.022zbMath1149.15019OpenAlexW2047219983MaRDI QIDQ941485

Jesús Gutiérrez-Gutiérrez

Publication date: 1 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.01.022

zbMATH Keywords

Chebyshev polynomialseigenvalueseigenvectorsJordan's formHermitian tridiagonal matrix

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Canonical forms, reductions, classification (15A21)

Related Items (12)

Powers of tridiagonal matrices with constant diagonals ⋮ Powers of real persymmetric anti-tridiagonal matrices with constant anti-diagonals ⋮ On computing of arbitrary positive integer powers for one type of symmetric pentadiagonal matrices of odd order ⋮ On computing of arbitrary integer powers for one type of symmetric anti-tridiagonal matrices of even order ⋮ On some interesting properties of a special type of tridiagonal matrices ⋮ Entries of continuous functions of large Hermitian tridiagonal 2-Toeplitz matrices ⋮ Unnamed Item ⋮ Explicit formula for positive integer powers of \(k\)-tridiagonal Toeplitz matrices ⋮ Binomial coefficients and powers of large tridiagonal matrices with constant diagonals ⋮ Singular value decomposition for bidiagonal filter matrices ⋮ Positive integer powers of certain complex tridiagonal matrices ⋮ Integer powers of certain complex tridiagonal matrices and some complex factorizations

Cites Work

• On computing of arbitrary positive integer powers for one type of even order skew-symmetric tridiagonal matrices with eigenvalues on imaginary axis. II
• On computing of arbitrary positive integer powers for one type of odd order skew-symmetric tridiagonal matrices with eigenvalues on imaginary axis. I
• On computing of arbitrary positive integer powers for one type of odd order skew-symmetric tridiagonal matrices with eigenvalues on imaginary axis. II.
• On the eigenvalue problem for Toeplitz band matrices
• 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 even order skew-symmetric tridiagonal matrices with eigenvalues on imaginary axis. I
• On computing of arbitrary positive integer powers for one type of symmetric tridiagonal matrices of odd order. II
• On computing of arbitrary positive integer powers for one type of symmetric tridiagonal matrices of odd order. I
• On computing of arbitrary positive integer powers for one type of symmetric tridiagonal matrices of even order. I

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