Bounds for the maximum eigenvalues of the Fibonacci-Frank and Lucas-Frank matrices
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Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ankara Üniv. Fen Fakültesi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Frank matrix is one of the popular test matrices for eigenvalue routines because it has well-conditioned and poorly conditioned eigenvalues. In this paper, we investigate the bounds for the maximum eigenvalues of the special cases of the generalized Frank matrices which are called Fibonacci-Frank and Lucas-Frank matrices. Then, we obtain the Euclidean norms and the upper bounds for the spectral norms of these matrices.
Açıklama
Anahtar Kelimeler
Fibonacci Sequence, Lucas Sequence, Frank Matrix, Eigenvalue, Bounds, Norm
Kaynak
Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
73
Sayı
2
