On the spectral norms of some circulant matrices with the trigonometric functions

DOI10.1186/s13660-019-2178-4zbMath1499.15106OpenAlexW2969492685WikidataQ127370181 ScholiaQ127370181MaRDI QIDQ2067993

Baijuan Shi

Publication date: 19 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-019-2178-4

zbMATH Keywords

trigonometric functionsspectral norms\(r\)-circulant matrixgeometric circulant matrixEuclidean norms

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Exponential and trigonometric functions (33B10) Toeplitz, Cauchy, and related matrices (15B05)

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On the norms of RFMLR-circulant matrices with the exponential and trigonometric functions

Cites Work

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• On the norms of circulant and \(r\)-circulant matrices with the hyperharmonic Fibonacci numbers
• On the bounds for the spectral norms of geometric circulant matrices
• On the bounds for the norms of \(r\)-circulant matrices with the Fibonacci and Lucas numbers
• On Chebyshev polynomials and their applications
• On the norms of circulant matrices with the Fibonacci and Lucas numbers
• The upper bound estimation on the spectral norm of \(r\)-circulant matrices with the Fibonacci and Lucas numbers
• On the spectral norms of \(r\)-circulant matrices with the biperiodic Fibonacci and Lucas numbers
• On the norms of an \(r\)-circulant matrix with the generalized \(k\)-Horadam numbers
• On the determinants and inverses of R-circulant matrices with the biperiodic Fibonacci and Lucas numbers

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