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On the Norms of <i>r</i>-Toeplitz Matrices Involving Fibonacci and Lucas Numbers
Semsi Tebrizi Anatolian Religious Vocational High School, Konya, Turkey
Science Faculty, Selcuk University, Konya, Turkey
- 1 Semsi Tebrizi Anatolian Religious Vocational High School, Konya, Turkey
- 2 Science Faculty, Selcuk University, Konya, Turkey
Advances in Linear Algebra & Matrix Theory·Volume 06 (2016)·Pages 31–39·Published 26 May 2016·DOI10.4236/alamt.2016.62005
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Abstract
Let us define to be a r -Toeplitz matrix. The entries in the first row of are or ;where F n and L n denote the usual Fibonacci and Lucas numbers, respectively. We obtained some bounds for the spectral norm of these matrices.
Keywords<i>r</i>-Toeplitz MatrixFibonacci NumbersLucas NumbersSpectral Norm
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