- Hacettepe Journal of Mathematics and Statistics
- Volume:37 Issue:2
- ON THE NORMS OF TOEPLITZ MATRICES INVOLVING FIBONACCI AND LUCAS NUMBERS
ON THE NORMS OF TOEPLITZ MATRICES INVOLVING FIBONACCI AND LUCAS NUMBERS
Authors : M Akbulak, D Bozkurt
Pages : 89-95
View : 108 | Download : 16
Publication Date : 2008-02-01
Article Type : Research Paper
Abstract :Let us define A = [aij ] and B = [bij ] as n × n Toeplitz matrices such that aij ≡ Fi−j and bij ≡ Li−j where F and L denote the usual Fibonacci and Lucas numbers, respectively. We have found upper and lower bounds for the spectral norms of these matricesKeywords : Lucas numbers, Fibonacci numbers, Toeplitz matrix, Spectral norm, Euclidean norm, 2000 AMS Classification 11 B 39
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