Bounds for the maximum eigenvalues of the Fibonacci-Frank and Lucas-Frank matrices

Mersin, Efruz Özlem; Bahşi, Mustafa

Bounds for the maximum eigenvalues of the Fibonacci-Frank and Lucas-Frank matrices

dc.authorid	0000-0001-6260-9063
dc.authorid	0000-0002-6356-6592
dc.contributor.author	Mersin, Efruz Özlem
dc.contributor.author	Bahşi, Mustafa
dc.date.accessioned	2024-07-30T07:53:31Z
dc.date.available	2024-07-30T07:53:31Z
dc.date.issued	2024
dc.department	Eğitim Fakültesi
dc.description.abstract	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.
dc.identifier.doi	10.31801/cfsuasmas.1299736
dc.identifier.endpage	436	en_US
dc.identifier.issn	1303-5991
dc.identifier.issn	2618-6470
dc.identifier.issue	2	en_US
dc.identifier.startpage	420	en_US
dc.identifier.uri	https:/dx.doi.org/10.31801/cfsuasmas.1299736
dc.identifier.uri	https://hdl.handle.net/20.500.12451/12268
dc.identifier.volume	73	en_US
dc.identifier.wosquality	N/A
dc.indekslendigikaynak	Web of Science
dc.indekslendigikaynak	TR-Dizin
dc.language.iso	en
dc.publisher	Ankara Üniv. Fen Fakültesi
dc.relation.ispartof	Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
dc.relation.publicationcategory	Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Fibonacci Sequence
dc.subject	Lucas Sequence
dc.subject	Frank Matrix
dc.subject	Eigenvalue
dc.subject	Bounds
dc.subject	Norm
dc.title	Bounds for the maximum eigenvalues of the Fibonacci-Frank and Lucas-Frank matrices
dc.type	Article