Positive integer powers for one type of odd order circulant matrices

DOI10.1016/J.AMC.2010.10.030zbMath1209.15030OpenAlexW1998252266MaRDI QIDQ620980

Fikri Köken, Durmuş Bozkurt

Publication date: 2 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.10.030

zbMATH Keywords

discrete Fourier transformcirculant matrixChebyshev polynomialmatrix powereigendecomposition

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Eigenvalues, singular values, and eigenvectors (15A18) Numerical methods for discrete and fast Fourier transforms (65T50) Matrices, determinants in number theory (11C20) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (4)

Integer Powers of Certain Complex Pentadiagonal Toeplitz Matrices ⋮ On computing of positive integer powers for \(r\)-circulant matrices ⋮ A note on computing of positive integer powers for circulant matrices ⋮ Matrix computations with the Omega calculus

Uses Software

• Maple

Cites Work

• Unnamed Item
• Positive integer powers of complex symmetric circulant matrices
• On computing of arbitrary positive integer powers for one type of odd order symmetric circulant matrices. I
• 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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