Positive integer powers of certain complex tridiagonal matrices

DOI10.1016/j.amc.2013.04.030zbMath1308.15028OpenAlexW1970263296MaRDI QIDQ2513901

Ahmet Öteleş, Mehmet Akbulak

Publication date: 29 January 2015

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

Full work available at URL: https://doi.org/10.1016/j.amc.2013.04.030

zbMATH Keywords

Chebyshev polynomialseigenvalueseigenvectorstridiagonal matricesFibonacci sequencePell sequenceJordan's form

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (8)

A multi-temperature kinetic Ising model and the eigenvalues of some perturbed Jacobi matrices ⋮ Positive integer powers of certain tridiagonal matrices and corresponding anti-tridiagonal matrices ⋮ Unnamed Item ⋮ Explicit formula for positive integer powers of \(k\)-tridiagonal Toeplitz matrices ⋮ Explicit expression for arbitrary positive powers of special tridiagonal matrices ⋮ COMPLEX FACTORIZATIONS OF THE GENERALIZED FIBONACCI SEQUENCES {q_n} ⋮ Integer powers of certain complex tridiagonal matrices and some complex factorizations ⋮ Matrix computations with the Omega calculus

Uses Software

• OEIS

Cites Work

• On computing of arbitrary positive integer powers for one type of tridiagonal matrices of even order
• Factorizations and representations of binary polynomial recurrences by matrix methods
• On the eigenvalues of some tridiagonal matrices
• Factorizations and representations of the backward second-order linear recurrences
• Positive integer powers of certain tridiagonal matrices
• Positive integer powers of complex skew-symmetric circulant matrices
• Positive integer powers of complex symmetric circulant matrices
• On computing of arbitrary positive integer powers for one type of tridiagonal matrices
• Eigenvalues of tridiagonal pseudo-Toeplitz matrices
• Powers of tridiagonal matrices with constant diagonals
• Powers of real persymmetric anti-tridiagonal matrices with constant anti-diagonals
• On computing the determinants and inverses of some special type of tridiagonal and constant-diagonals matrices
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