Please use this identifier to cite or link to this item: `https://hdl.handle.net/20.500.11851/6684`
DC FieldValueLanguage
dc.contributor.authorKılıç, Emrah-
dc.date.accessioned2021-09-11T15:43:11Z-
dc.date.available2021-09-11T15:43:11Z-
dc.date.issued2008en_US
dc.identifier.issn0096-3003-
dc.identifier.urihttps://doi.org/10.1016/j.amc.2007.07.046-
dc.identifier.urihttps://hdl.handle.net/20.500.11851/6684-
dc.description.abstractIn this paper, we consider a general tridiagonal matrix and give the explicit formula for the elements of its inverse. For this purpose, considering usual continued fraction, we de. ne backward continued fraction for a real number and give some basic results on backward continued fraction. We give the relationships between the usual and backward continued fractions. Then we reobtain the LU factorization and determinant of a tridiagonal matrix. Furthermore, we give an efficient and fast computing method to obtain the elements of the inverse of a tridiagonal matrix by backward continued fractions. Comparing the earlier result and our result on the elements of the inverse of a tridiagonal matrix, it is seen that our method is more convenient, efficient and fast. (C) 2007 Published by Elsevier Inc.en_US
dc.language.isoenen_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofApplied Mathematics And Computationen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjecttridiagonal matrixen_US
dc.subjectfactorizationen_US
dc.subjectinverseen_US
dc.subjectbackward continued fractionen_US
dc.titleExplicit formula for the inverse of a tridiagonal matrix by backward continued fractionsen_US
dc.typeArticleen_US
dc.departmentFaculties, Faculty of Science and Literature, Department of Mathematicsen_US
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümütr_TR
dc.identifier.volume197en_US
dc.identifier.issue1en_US
dc.identifier.startpage345en_US
dc.identifier.endpage357en_US
dc.authorid0000-0003-0722-7382-
dc.identifier.wosWOS:000254253900032en_US
dc.identifier.scopus2-s2.0-38949158757en_US
dc.institutionauthorKılıç, Emrah-
dc.identifier.doi10.1016/j.amc.2007.07.046-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ2-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.languageiso639-1en-
item.cerifentitytypePublications-
item.fulltextNo Fulltext-
item.openairetypeArticle-
crisitem.author.dept07.03. Department of Mathematics-
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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