On the Spectral Norms of Toeplitz Matrices with Fibonacci and Lucas Numbers ABSTRACT | FULL TEXT

Year 2013, Volume: 42 Issue: 1, 15 - 19, 01.01.2013

Süleyman Solak Mustafa Bahşi

Abstract

This paper is concerned with the work of the authors’ [M.Akbulakand D. Bozkurt, on the norms of Toeplitz matrices involving Fibonacciand Lucas numbers, Hacettepe Journal of Mathematics and Statistics,37(2), (2008), 89-95] on the spectral norms of the matrices: A = [Fi−j ] and B = [Li−j ], where F and L denote the Fibonacci and Lucas numbers, respectively. Akbulak and Bozkurt have found the inequalities forthe spectral norms of n × n matrices A and B, as for us, we are findingthe equalities for the spectral norms of matrices A and B.

Keywords

Spectral norm, Toeplitz matrix, Fibonacci number, Lucas Number.

On the Spectral Norms of Toeplitz Matrices with Fibonacci and Lucas Numbers ABSTRACT | FULL TEXT

Abstract

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Keywords

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References

• Akbulak, M., and Bozkurt, D. On the norms of Toeplitz matrices involving Fibonacci and Lucas numbers, Hacettepe Journal of Mathematics and Statistic, 37 (2), 89-95, 2008.