On computing of positive integer powers for \(r\)-circulant matrices

DOI10.1016/j.amc.2015.05.022zbMath1410.65122OpenAlexW635187354MaRDI QIDQ1664226

Y. Aharonov

Publication date: 24 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.05.022

zbMATH Keywords

powers\(r\)-circulant matrixthe Multinomial Theorem

Mathematics Subject Classification ID

Related Items (8)

Arbitrary positive powers of semicirculant andr-circulant matrices ⋮ Explicit form of determinants and inverse matrices of Tribonacci \(r\)-circulant type matrices ⋮ On circulant like matrices properties involving Horadam, Fibonacci, Jacobsthal and Pell numbers ⋮ On k-circulant matrices with the Lucas numbers ⋮ The inverse and the Moore-Penrose inverse of a \(k\)-circulant matrix with binomial coefficients ⋮ A note on r-circulant matrices involving generalized Narayana numbers ⋮ Gohberg-Semencul type formula and application for the inverse of a conjugate-Toeplitz matrix involving imaginary circulant matrices ⋮ Unnamed Item

Cites Work

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• Equalities and inequalities for norms of block imaginary circulant operator matrices
• Positive integer powers for one type of odd order circulant matrices
• A note on computing of positive integer powers for circulant matrices
• Positive integer powers of complex symmetric circulant matrices
• On the bounds for the norms of \(r\)-circulant matrices with the Fibonacci and Lucas numbers
• On computing of arbitrary positive integer powers for one type of odd order symmetric circulant matrices. I
• A note on the fast algorithm for block Toeplitz systems with tensor structure
• Construction of preconditioners for Wiener-Hopf equations by operator splitting
• Computing the square roots of a class of circulant matrices
• 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.
• Block \(\omega\)-circulant preconditioners for the systems of differential equations
• On computing of arbitrary positive integer powers for one type of odd order symmetric circulant matrices. II
• Preconditioners for Ill-Conditioned Toeplitz Systems Constructed from Positive Kernels
• The Moore-Penrose Pseudoinverse of an Arbitrary, Square, k -circulant Matrix
• Generalized circulant Strang‐type preconditioners

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