A note on spectral norms of even-order \( r\)-circulant matrices

DOI10.1016/j.amc.2014.11.020zbMath1328.15036OpenAlexW2041229077MaRDI QIDQ902845

Zhao-lin Jiang, Jian-Wei Zhou

Publication date: 4 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.11.020

zbMATH Keywords

explicit formula\(r\)-circulant matrixspectral norm

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (8)

On the norms of circulant and \(r\)-circulant matrices with the hyperharmonic Fibonacci numbers ⋮ Explicit form of determinants and inverse matrices of Tribonacci \(r\)-circulant type matrices ⋮ Determinants and inverses of Ppoeplitz and Ppankel matrices ⋮ On the bounds for the spectral norms of geometric circulant matrices ⋮ Determinant and inverse of a Gaussian Fibonacci skew-Hermitian Toeplitz matrix ⋮ Exact determinants and inverses of generalized Lucas skew circulant type matrices ⋮ On \(k\)-circulant matrices involving the Pell-Lucas (and the modified Pell) numbers ⋮ Unnamed Item

Cites Work

• The spectral norms of \(g\)-circulant matrices with classical Fibonacci and Lucas numbers entries
• A circulant preconditioner for fractional diffusion equations
• Fast and exact synthesis of stationary multivariate Gaussian time series using circulant embedding
• On the spectral norms of circulant matrices with classical Fibonacci and Lucas numbers entries
• Toeplitz Equations by Conjugate Gradients with Circulant Preconditioner
• The Spectra of Super-Optimal Circulant Preconditioned Toeplitz Systems
• Fast and Exact Simulation of Stationary Gaussian Processes through Circulant Embedding of the Covariance Matrix
• Circulant Preconditioners for Hermitian Toeplitz Systems
• The Pseudoinverse of an r-Circulant Matrix

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