Solak, Süleyman On the norms of circulant matrices with the Fibonacci and Lucas numbers. (English) Zbl 1066.15029 Appl. Math. Comput. 160, No. 1, 125-132 (2005). For a circulat matrix \(A\) consisting of Fibonacci numbers \(a_{ij}=(F_{(\text{mod}(j-i,n)})\) some bounds in spectral and Euclidean norms are obtained. Reviewer: Alexey Alimov (Moskva) Cited in 7 ReviewsCited in 51 Documents MSC: 15A60 Norms of matrices, numerical range, applications of functional analysis to matrix theory 15B57 Hermitian, skew-Hermitian, and related matrices 11B39 Fibonacci and Lucas numbers and polynomials and generalizations 11C20 Matrices, determinants in number theory Keywords:circulant matrix; Fibonacci numbers; Lucas number; spectral norm; Euclidean norms × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Solak, S.; Bozkurt, D., A note on bound for norms of Cauchy-Hankel Matrices, Numer. Linear Algebra Appl, 10, 337-782 (2003) [2] Solak, S.; Bozkurt, D., Some bounds on \(ℓ_p\) matrix and \(ℓ_p\) operator norms of almost circulant, Cauchy-Toeplitz and Cauchy-Hankel matrices, Math. Comput. Applicat. Int. J, 7, 3, 211-218 (2002) · Zbl 1012.15019 [3] Mathias, R., The spectral norm of a nonnegative matrix, Linear Algebra Appl, 131, 269-284 (1990) · Zbl 0705.15012 [4] Visick, G., A quantitative version of the observation that the Hadamard product is a principal submatrix of the Kronecker product, Linear Algebra Appl, 304, 45-68 (2000) · Zbl 0946.15015 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.