On the Norms of r-Toeplitz Matrices Involving Fibonacci and Lucas Numbers

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DOI: 10.4236/alamt.2016.62005    2,122 Downloads   3,011 Views  Citations

ABSTRACT

Let us define  to be a  r-Toeplitz matrix. The entries in the first row of  are  or ;where Fn and Ln denote the usual Fibonacci and Lucas numbers, respectively. We obtained some bounds for the spectral norm of these matrices.

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Gökbaş, H. and Türkmen, R. (2016) On the Norms of r-Toeplitz Matrices Involving Fibonacci and Lucas Numbers. Advances in Linear Algebra & Matrix Theory, 6, 31-39. doi: 10.4236/alamt.2016.62005.

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