On the spectral and Frobenius norm of a generalized Fibonacci \(r\)-circulant matrix

DOI10.1515/spma-2018-0003zbMath1392.15044OpenAlexW2790516926MaRDI QIDQ1642892

Mika Mattila, Timo Tossavainen, Pentti Haukkanen, Jorma Kaarlo Merikoski

Publication date: 15 June 2018

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/spma-2018-0003

zbMATH Keywords

Frobenius normEuclidean norm\(r\)-circulant matrixspectral normgeneralized Fibonacci numbers

Mathematics Subject Classification ID

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

Related Items

On \(r\)-circulant matrices with generalized bi-periodic Fibonacci numbers ⋮ On the spectral and Frobenius norm of a generalized Fibonacci \(r\)-circulant matrix ⋮ Circulant matrices: norm, powers, and positivity ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the bounds for the norms of \(r\)-circulant matrices with the Fibonacci and Lucas numbers
• On the spectral and Frobenius norm of a generalized Fibonacci \(r\)-circulant matrix
• 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 norms of r-circulant matrices with the hyperharmonic numbers
• ON THE NORMS OF SOME SPECIAL MATRICES WITH GENERALIZED FIBONACCI SEQUENCE