scientific article

zbMath1198.15016MaRDI QIDQ3577664

Shou-Qiang Shen, Jian-Miao Cen

Publication date: 22 July 2010

Full work available at URL: http://www.m-hikari.com/ijcms-2010/9-12-2010/index.html

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zbMATH Keywords

upper and lower bounds\(r\)-circulant matrixspectral norm\(k\)-Lucas numberspectral bounds\(k\)-Fibonacci numberHadamard and Kronecker products

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Matrices of integers (15B36) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Matrices, determinants in number theory (11C20)

Related Items (11)

Norm estimates of \(\omega\)-circulant operator matrices and isomorphic operators for \(\omega\)-circulant algebra ⋮ Norms and spread of the Fibonacci and Lucas RSFMLR circulant matrices ⋮ On the spectral norms of \(r\)-circulant matrices with the biperiodic Fibonacci and Lucas numbers ⋮ On the norms and eigenvalues of \(r\)-circulant matrices with \(k\)-Mersenne and \(k\)-Mersenne-Lucas numbers ⋮ Triangular truncation of \(k\)-Fibonacci and \(k\)-Lucas circulant matrices ⋮ Unnamed Item ⋮ An application of matricial Fibonacci identities to the computation of spectral norms ⋮ On \(k\)-circulant matrices involving the Pell numbers ⋮ Some norm inequalities for special Gram matrices ⋮ On the spectral norm of \(r\)-circulant matrices with the Pell and Pell-Lucas numbers ⋮ The Fibonacci identities of orthogonality

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