Positive integer powers of complex symmetric circulant matrices

DOI10.1016/j.amc.2008.02.010zbMath1149.15021OpenAlexW1975516187MaRDI QIDQ942419

Jesús Gutiérrez-Gutiérrez

Publication date: 5 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.2008.02.010

zbMATH Keywords

Chebyshev polynomialseigenvalueseigenvectorsJordan's formpositive integer powerscomplex symmetric circulant matrix

Mathematics Subject Classification ID

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

Related Items (10)

The discriminance for a special class of circulant matrices and their diagonalization ⋮ A multi-temperature kinetic Ising model and the eigenvalues of some perturbed Jacobi matrices ⋮ On computing of arbitrary positive integer powers for one type of symmetric pentadiagonal matrices of odd order ⋮ On computing of positive integer powers for \(r\)-circulant matrices ⋮ Positive integer powers for one type of odd order circulant matrices ⋮ A note on computing of positive integer powers for circulant matrices ⋮ Angular normal modes of a circular Coulomb cluster ⋮ The computation of the square roots of circulant matrices ⋮ Positive integer powers of certain complex tridiagonal matrices ⋮ Unnamed Item

Cites Work

• Unnamed Item
• On computing of arbitrary positive integer powers for one type of odd order symmetric circulant matrices. I
• A unifying approach to some old and new theorems on distribution and clustering
• On computing of arbitrary positive integer powers for one type of even order symmetric circulant matrices . I.
• On computing of arbitrary positive integer powers for one type of even order symmetric circulant matrices. II.
• On computing of arbitrary positive integer powers for one type of odd order symmetric circulant matrices. II

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