On the Spectral Norms of r-Circulant Matrices with the k-Fibonacci and k-Lucas Numbers

نویسنده

  • Shou-qiang SHEN
چکیده

Abstract In this paper, we consider the k -Fibonacci and k -Lucas sequences {Fk,n}n∈N and {Lk,n}n∈N . Let A = Cr(Fk,0, Fk,1, · · · , Fk,n−1) and B = Cr(Lk,0, Lk,1, · · · , Lk,n−1) be r -circulant matrices. Afterwards, we give upper and lower bounds for the spectral norms of matrices A and B. In addition, we obtain some bounds for the spectral norms of Hadamard and Kronecker products of these matrices.

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تاریخ انتشار 2009