Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/804
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dc.contributor.authorHopkins, Tim-
dc.contributor.authorKılıç, Emrah-
dc.date.accessioned2019-03-21T14:32:27Z-
dc.date.available2019-03-21T14:32:27Z-
dc.date.issued2018-
dc.identifier.citationHopkins, T., & Kılıç, E. (2018). An analytical approach: Explicit inverses of periodic tridiagonal matrices. Journal of Computational and Applied Mathematics, 335, 207-226.en_US
dc.identifier.issn377-0427-
dc.identifier.urihttps://doi.org/10.1016/j.cam.2017.11.038-
dc.identifier.urihttps://hdl.handle.net/20.500.11851/804-
dc.description.abstractWe derive an explicit formula for the inverse of a general, periodic, tridiagonal matrix. Our approach is to derive its LU factorization using backward continued fractions (BCF) which are an essential tool in number theory. We then use these formulae to construct an algorithm for inverting a general, periodic, tridiagonal matrix which we implement in Maple.1 Finally, we present the results of testing the efficiency of our new algorithm against another published implementation and against the library procedures available within Maple to invert a general matrix and to compute its determinant.en_US
dc.language.isoenen_US
dc.publisherElsevier B. V.en_US
dc.relation.ispartofJournal of Computational and Applied Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBackward continued fractionen_US
dc.subjectInverseen_US
dc.subjectLU-factorizationen_US
dc.subjectMatrix inversionen_US
dc.titleAn Analytical Approach: Explicit Inverses of Periodic Tridiagonal Matricesen_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.volume335-
dc.identifier.startpage207-
dc.identifier.endpage226-
dc.identifier.wosWOS:000424722100014en_US
dc.identifier.scopus2-s2.0-85039761569en_US
dc.institutionauthorKılıç, Emrah-
dc.identifier.doi10.1016/j.cam.2017.11.038-
dc.identifier.doi10.1016/j.cam.2017.11.038-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ2-
item.openairetypeArticle-
item.languageiso639-1en-
item.grantfulltextnone-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
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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