Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/1655
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dc.contributor.authorKılıç, Emrah-
dc.contributor.authorProdinger, Helmut-
dc.date.accessioned2019-07-04T14:19:40Z
dc.date.available2019-07-04T14:19:40Z
dc.date.issued2013-05
dc.identifier.citationKiliç, E., & Prodinger, H. (2013). Variants of the Filbert matrix. Fibonacci Quart, 51(2), 153-162.en_US
dc.identifier.issn0015-0517
dc.identifier.urihttps://www.fq.math.ca/Papers1/51-2/KilicProdinger.pdf-
dc.identifier.urihttps://hdl.handle.net/20.500.11851/1655-
dc.description.abstractA variation of the Filbert matrix from [1] is introduced, which has one additional Fibonacci factor in the numerator. We also introduce its Lucas counterpart by taking Lucas numbers instead of Fibonacci numbers in a similar manner. Explicit formulæ are derived for the LU-decompositions, their inverses, the inverse matrix, as well as the Cholesky decompositions. The approach is to use q-analysis and to guess the relevant quantities, and proving them later by induction.en_US
dc.language.isoenen_US
dc.publisherFibonacci Associationen_US
dc.relation.ispartofThe Fibonacci Quarterlyen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.titleVariants of the Filbert Matrixen_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.volume51
dc.identifier.issue2
dc.identifier.startpage153
dc.identifier.endpage162
dc.identifier.wosWOS:000217589800010en_US
dc.identifier.scopus2-s2.0-84878843707en_US
dc.institutionauthorKılıç, Emrah-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ4-
item.fulltextNo Fulltext-
item.grantfulltextnone-
item.cerifentitytypePublications-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.openairetypeArticle-
item.languageiso639-1en-
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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