Positive integer powers of certain complex tridiagonal matrices
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Publication:2513901
DOI10.1016/j.amc.2013.04.030zbMath1308.15028OpenAlexW1970263296MaRDI QIDQ2513901
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
Chebyshev polynomialseigenvalueseigenvectorstridiagonal matricesFibonacci sequencePell sequenceJordan's form
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 {qn} ⋮ Integer powers of certain complex tridiagonal matrices and some complex factorizations ⋮ Matrix computations with the Omega calculus
Uses Software
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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