On the bounds for the spectral norms of geometric circulant matrices

DOI10.1186/s13660-016-1255-1zbMath1349.15060OpenAlexW2559465489WikidataQ59438909 ScholiaQ59438909MaRDI QIDQ347450

Can Kızılateş, Naim Tuglu

Publication date: 30 November 2016

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

Full work available at URL: https://doi.org/10.1186/s13660-016-1255-1

zbMATH Keywords

spectral normshyperharmonic Fibonacci numbergeneralized Fibonacci numbergeometric circulant matrix

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (11)

The p-norm of circulant matrices ⋮ On the spectral norms of \(r\)-circulant matrices with the biperiodic Fibonacci and Lucas numbers ⋮ On the spectral norms of r-circulant and geometric circulant matrices with the bi-periodic hyper-Horadam sequence ⋮ The spectral norms of geometric circulant matrices with the generalized \(k\)-Horadam numbers ⋮ A new generalization of the Frank matrix and its some properties ⋮ Unnamed Item ⋮ On the norms of RFMLR-circulant matrices with the exponential and trigonometric functions ⋮ On \(k\)-circulant matrices involving the Pell-Lucas (and the modified Pell) numbers ⋮ On the norms of \(r \)-Hankel and \(r \)-Toeplitz matrices ⋮ On the spectral norms of some circulant matrices with the trigonometric functions ⋮ On \(r\)-min and \(r\)-max matrices

Cites Work

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• On the norms of circulant and \(r\)-circulant matrices with the hyperharmonic Fibonacci numbers
• A note on spectral norms of even-order \( r\)-circulant matrices
• On the bounds for the norms of \(r\)-circulant matrices with the Fibonacci and Lucas numbers
• 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 norms of an \(r\)-circulant matrix with the generalized \(k\)-Horadam numbers
• On the norms of r-circulant matrices with the hyperharmonic numbers

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