On the bounds for the norms of \(r\)-circulant matrices with the Fibonacci and Lucas numbers

From MaRDI portal
Publication:984315

DOI10.1016/j.amc.2010.03.140zbMath1211.15029OpenAlexW2059490322MaRDI QIDQ984315

Shou-Qiang Shen, Jian-Miao Cen

Publication date: 19 July 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.140




Related Items (36)

On the norms of circulant and \(r\)-circulant matrices with the hyperharmonic Fibonacci numbersGeneralized hyper-Lucas numbers and applicationsArbitrary positive powers of semicirculant andr-circulant matricesThe p-norm of circulant matricesNorm estimates of \(\omega\)-circulant operator matrices and isomorphic operators for \(\omega\)-circulant algebraOn \(r\)-circulant matrices with generalized bi-periodic Fibonacci numbersDeterminants and inverses ofr-circulant matrices associated with a number sequenceExplicit form of determinants and inverse matrices of Tribonacci \(r\)-circulant type matricesOn the spectral and Frobenius norm of a generalized Fibonacci \(r\)-circulant matrixOn the bounds for the spectral norms of geometric circulant matricesOn the spectral norms of \(r\)-circulant matrices with the biperiodic Fibonacci and Lucas numbersOn computing of positive integer powers for \(r\)-circulant matricesUnnamed ItemOn the norms and eigenvalues of \(r\)-circulant matrices with \(k\)-Mersenne and \(k\)-Mersenne-Lucas numbersThe spectral norms of geometric circulant matrices with the generalized \(k\)-Horadam numbersMoore–Penrose inverse of generalized Fibonacci matrix and its applicationsA new generalization of the Frank matrix and its some propertiesA note on r-circulant matrices involving generalized Narayana numbersComputing the square roots of a class of circulant matricesOn the norms of an \(r\)-circulant matrix with the generalized \(k\)-Horadam numbersUnnamed ItemDeterminants and inverses of circulant matrices with Jacobsthal and Jacobsthal-Lucas numbersDeterminants, norms, and the spread of circulant matrices with Tribonacci and generalized Lucas numbersOn skew circulant type matrices involving any continuous Fibonacci numbersOn the norms of RFMLR-circulant matrices with the exponential and trigonometric functionsOn \(k\)-circulant matrices involving the Pell-Lucas (and the modified Pell) numbersOn \(k\)-circulant matrices involving the Pell numbersThe upper bound estimation on the spectral norm of \(r\)-circulant matrices with the Fibonacci and Lucas numbersOn the determinants and inverses of circulant matrices with Fibonacci and Lucas numbersOn the spectral norm of \(r\)-circulant matrices with the Pell and Pell-Lucas numbersOn the norms of \(r \)-Hankel and \(r \)-Toeplitz matricesOn the spectral norms of some circulant matrices with the trigonometric functionsThe determinants, inverses, norm, and spread of skew circulant type matrices involving any continuous Lucas numbersChebyshev polynomials and \(r\)-circulant matricesOn \(r\)-min and \(r\)-max matricesA modification of a mixed integer linear programming (MILP) model to avoid the computational complexity



Cites Work


This page was built for publication: On the bounds for the norms of \(r\)-circulant matrices with the Fibonacci and Lucas numbers