Sturm theorem for the generalized frank matrix

Mersin, Efruz Özlem; Bahşi, Mustafa

Sturm theorem for the generalized frank matrix

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	2021-12-02T06:20:26Z
dc.date.available	2021-12-02T06:20:26Z
dc.date.issued	2021
dc.department	Eğitim Fakültesi
dc.description.abstract	One of the popular test matrices for eigenvalue routines is the Frank matrix due to its wellconditioned and poorly conditioned eigenvalues. All the eigenvalues of the Frank matrix are real, positive and different. Sturm Theorem is a very useful tool for computing the eigenvalues of tridiagonal symmetric matrices. In this paper, we apply Sturm Theorem to the generalized Frank matrix which is a special form of the Hessenberg matrix and examine its eigenvalues by using Sturm property. Moreover, we illustrate our results with an example.
dc.identifier.doi	10.15672/hujms.773281
dc.identifier.endpage	1011	en_US
dc.identifier.issn	2651-477X
dc.identifier.issue	4	en_US
dc.identifier.scopusquality	Q2
dc.identifier.startpage	1002	en_US
dc.identifier.uri	https:/dx.doi.org/10.15672/hujms.773281
dc.identifier.uri	https://hdl.handle.net/20.500.12451/8860
dc.identifier.volume	50	en_US
dc.identifier.wos	WOS:000687954300009
dc.identifier.wosquality	Q3
dc.indekslendigikaynak	Web of Science
dc.indekslendigikaynak	Scopus
dc.language.iso	en
dc.publisher	Hacettepe University
dc.relation.ispartof	Hacettepe Journal of Mathematics and Statistics
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Characteristic Polynomial
dc.subject	Eigenvalue
dc.subject	Frank Matrix
dc.subject	Sturm Sequence
dc.title	Sturm theorem for the generalized frank matrix
dc.type	Conference Object