ON THE NORMS OF TOEPLITZ MATRICES INVOLVING FIBONACCI AND LUCAS NUMBERS

Year 2008, Volume: 37 Issue: 2, 89 - 95, 01.02.2008

M. Akbulak D. Bozkurt

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 matrices

Keywords

Lucas numbers, Fibonacci numbers, Toeplitz matrix, Spectral norm, Euclidean norm, 2000 AMS Classification: 11 B 39

ON THE NORMS OF TOEPLITZ MATRICES INVOLVING FIBONACCI AND LUCAS NUMBERS

Abstract

References

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