On the spectral norms of Hankel matrices with Fibonacci and Lucas numbers

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Tarih

2011

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Yayıncı

Selcuk University Research Center of Applied Mathematics

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

This paper is concerned with the work of the authors' [M.Akbulak and D. Bozkurt, on the norms of Hankel matrices involving Fibonacci and Lucas numbers, Selk J. Appl. Math. 9 (2), (2008), 45-52] on the spectral norms of the matrices A=[F_{i+j}]_{i,j=0}?? and B=[L_{i+j}]_{i,j=0}??, where F and L denote the Fibonacci and Lucas numbers, respectively[1]. Akbulak and Bozkurt have found the inequalities for bounds of spectral norms of matrices A and B. As for us, we have found the equalities for the spectral norms of matrices A and B.

Açıklama

URL: http://sjam.selcuk.edu.tr/sjam/article/view/280

Anahtar Kelimeler

Spectral norm, Spektral norm, Hankel matrix, Hankel matrisi, Fibonacci number, Fibonacci numarası, Lucas number, Lucas numarası

Kaynak

Selcuk Journal of Applied Mathematics

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Cilt

12

Sayı

Künye

Solak, S., Bahşi, M. (2011). On the spectral norms of Hankel matrices with Fibonacci and Lucas numbers. Selcuk Journal of Applied Mathematics, 12 (1), 71-76.