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On the bounds for the norms of r-circulant matrices with the Fibonacci and Lucas numbers
Authors:Shouqiang Shen  Jianmiao Cen
Institution:Department of Mathematics, Ningbo University, 315211 Ningbo, PR China
Abstract:In this paper, we have found upper and lower bounds for the spectral norms of r-circulant matrices in the forms A = Cr(F0, F1, …, Fn−1), B = Cr(L0, L1, …, Ln−1), and we have obtained some bounds for the spectral norms of Kronecker and Hadamard products of A and B matrices.
Keywords:Fibonacci number  Lucas number  r-Circulant matrix  Norm
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