The spectral norms of geometric circulant matrices with the generalized \(k\)-Horadam numbers

DOI10.1186/s13660-017-1608-4zbMath1381.15011OpenAlexW2783005440WikidataQ47556749 ScholiaQ47556749MaRDI QIDQ1691323

Baijuan Shi

Publication date: 15 January 2018

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

Full work available at URL: https://doi.org/10.1186/s13660-017-1608-4

zbMATH Keywords

spectral norms\(r\)-circulant matrixgeometric circulant matrixEuclidean normsgeneralized \(k\)-Horadam numbers

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (7)

On the norms and eigenvalues of \(r\)-circulant matrices with \(k\)-Mersenne and \(k\)-Mersenne-Lucas numbers ⋮ A new generalization of the Frank matrix and its some properties ⋮ A note on r-circulant matrices involving generalized Narayana numbers ⋮ Unnamed Item ⋮ On \(k\)-circulant matrices involving the Pell-Lucas (and the modified Pell) numbers ⋮ Chebyshev polynomials and \(r\)-circulant matrices ⋮ On \(r\)-min and \(r\)-max matrices

Cites Work

• On the bounds for the spectral norms of geometric circulant matrices
• On the inverse of circulant matrix via generalized \(k\)-Horadam numbers
• On the bounds for the norms of \(r\)-circulant matrices with the Fibonacci and Lucas numbers
• Some remarks on matrix norms, condition numbers, and error estimates for linear equations
• 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
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