On the spectral norms of Hankel matrices with Fibonacci and Lucas numbers
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Tarih
2011
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
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
WoS Q Değeri
Scopus Q Değeri
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.