Sturm’s Theorem for Min matrices

Mersin, Efruz Özlem

Sturm’s Theorem for Min matrices

dc.contributor.author	Mersin, Efruz Özlem
dc.date.accessioned	2023-10-10T11:53:54Z
dc.date.available	2023-10-10T11:53:54Z
dc.date.issued	2023
dc.department	Eğitim Fakültesi
dc.description.abstract	In the present paper, we study Min matrix, where as’s are the elementsof a real sequence {as}. We first obtain a recurrence relation for the characteristic polynomial for matrix Amin, and some relations between the coefficients of its characteristic polynomial. Next, we show that the sequence of the characteristic polynomials of the i× i (i ? n) Min matrices satisfies the Sturm sequence properties according to different required conditions of the sequence {as}. Using Sturm’s Theorem, we get some results about the eigenvalues, such as the number of eigenvalues in an interval. Thus, we obtain the number of positive and negative eigenvalues of Min matrix Amin. Finally, we give an example to illustrate our results.
dc.identifier.doi	10.3934/math.2023880
dc.identifier.endpage	17245	en_US
dc.identifier.issn	2473-6988
dc.identifier.issue	7	en_US
dc.identifier.scopusquality	Q1
dc.identifier.startpage	17229	en_US
dc.identifier.uri	https:/dx.doi.org10.3934/math.2023880
dc.identifier.uri	https://hdl.handle.net/20.500.12451/11121
dc.identifier.volume	8	en_US
dc.identifier.wos	WOS:000995790200001
dc.identifier.wosquality	Q1
dc.indekslendigikaynak	Web of Science
dc.indekslendigikaynak	Scopus
dc.language.iso	en
dc.publisher	American Institute of Mathematical Sciences
dc.relation.ispartof	AIMS Mathematics
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	Characteristic Polynomial
dc.subject	Eigenvalue
dc.subject	Min-Max Matrices
dc.subject	Sturm’s Theorem
dc.title	Sturm’s Theorem for Min matrices
dc.type	Article