ON THE NORMS OF TOEPLITZ MATRICES INVOLVING FIBONACCI AND LUCAS NUMBERS

Yayın Aralığı: Yılda 6 Sayı
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

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,

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