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

Authors : Süleyman SOLAK, Mustafa BAHŞİ

Pages : 15-19

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Publication Date : 2013-01-01

Article Type : Other Papers

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,37insert ignore into journalissuearticles values(2);, insert ignore into journalissuearticles values(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