On the bounds for the norms of r-circulant matrices with the Fibonacci and Lucas numbers |
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Authors: | Shouqiang Shen Jianmiao Cen |
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Institution: | Department of Mathematics, Ningbo University, 315211 Ningbo, PR China |
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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. |
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Keywords: | Fibonacci number Lucas number r-Circulant matrix Norm |
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