On \(k\)-circulant matrices involving the Pell numbers

DOI10.1007/s00025-019-1121-9zbMath1432.15026OpenAlexW2990837205WikidataQ126653195 ScholiaQ126653195MaRDI QIDQ2009340

Biljana Radičić

Publication date: 28 November 2019

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-019-1121-9

zbMATH Keywords

spectral propertiescirculant matrixPell numbersPell matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) 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

On circulant like matrices properties involving Horadam, Fibonacci, Jacobsthal and Pell numbers ⋮ Chebyshev polynomials and \(r\)-circulant matrices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the norms of circulant and \(r\)-circulant matrices with the hyperharmonic Fibonacci numbers
• Hessenberg matrices and the Pell and Perrin numbers
• On the determinants and inverses of circulant matrices with Fibonacci and Lucas 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
• Generalized inverses of certain Toeplitz matrices
• On the norms of an \(r\)-circulant matrix with the generalized \(k\)-Horadam numbers
• The identical estimates of spectral norms for circulant matrices with binomial coefficients combined with Fibonacci numbers and Lucas numbers entries
• Determinants and inverses of circulant matrices with Jacobsthal and Jacobsthal-Lucas numbers
• On k-circulant matrices with arithmetic sequence
• Onk-circulant matrices (with geometric sequence)
• On the spectral norm of \(r\)-circulant matrices with the Pell and Pell-Lucas numbers

This page was built for publication: On \(k\)-circulant matrices involving the Pell numbers