On the norms of \(r \)-Hankel and \(r \)-Toeplitz matrices

DOI10.1155/2019/6729701zbMath1435.15021OpenAlexW2913779590MaRDI QIDQ2298691

Baijuan Shi

Publication date: 20 February 2020

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/6729701

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)

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Cites Work

• 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 the norms of 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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