Explicit expression for powers of tridiagonal 2-Toeplitz matrix of odd order

DOI10.1016/j.laa.2011.12.025zbMath1243.15007OpenAlexW2081065410MaRDI QIDQ417488

Jonas Rimas

Publication date: 14 May 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2011.12.025

zbMATH Keywords

Chebyshev polynomialseigenvalueseigenvectorstridiagonal matricesToeplitz matricesmatrix powers

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (3)

Entries of continuous functions of large Hermitian tridiagonal 2-Toeplitz matrices ⋮ Explicit expression for arbitrary positive powers of special tridiagonal matrices ⋮ Unnamed Item

Cites Work

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• The eigenproblem of a tridiagonal 2-Toeplitz matrix
• 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 some tridiagonal \(k\)-Toeplitz matrices: Algebraic and analytical aspects. applications
• Explicit inverses of some tridiagonal matrices

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