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https://hdl.handle.net/20.500.11851/2953
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kılıç, Emrah | - |
dc.contributor.author | Arıkan, Talha | - |
dc.date.accessioned | 2019-12-25T14:34:16Z | |
dc.date.available | 2019-12-25T14:34:16Z | |
dc.date.issued | 2019-01 | |
dc.identifier.citation | Kılıç, E., & Arıkan, T. (2019). A nonlinear generalization of the Filbert matrix and its Lucas analogue. Linear and Multilinear Algebra, 67(1), 141-157. | en_US |
dc.identifier.issn | 0308-1087 | |
dc.identifier.uri | https://doi.org/10.1080/03081087.2017.1412393 | - |
dc.identifier.uri | https://hdl.handle.net/20.500.11851/2953 | - |
dc.description.abstract | In this paper, we present both a new generalization and an analogue of the Filbert matrix (Formula presented.) by the means of the Fibonacci and Lucas numbers whose indices are in nonlinear form (Formula presented.) for the positive integers (Formula presented.) and the integers r, s, c. This will be the first example as nonlinear generalizations of the Filbert and Lilbert matrices. Furthermore, we present q-versions of these matrices and their related results. We derive explicit formulæ for the inverse matrix, the LU-decomposition and the inverse matrices (Formula presented.), (Formula presented.) as well as we present the Cholesky decomposition for all matrices. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Taylor and Francis Ltd. | en_US |
dc.relation.ispartof | Linear and Multilinear Algebra | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Filbert matrix | en_US |
dc.subject | LU-decomposition | en_US |
dc.subject | inverse matrix | en_US |
dc.subject | backward induction | en_US |
dc.subject | Cholesky decomposition | en_US |
dc.subject | generalized q-Pochhammer notation | en_US |
dc.title | A Nonlinear Generalization of the Filbert Matrix and Its Lucas Analogue | en_US |
dc.type | Article | en_US |
dc.department | Faculties, Faculty of Science and Literature, Department of Mathematics | en_US |
dc.department | Fakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü | tr_TR |
dc.identifier.volume | 67 | |
dc.identifier.issue | 1 | |
dc.identifier.startpage | 141 | |
dc.identifier.endpage | 157 | |
dc.identifier.wos | WOS:000459824200010 | en_US |
dc.identifier.scopus | 2-s2.0-85037704820 | en_US |
dc.institutionauthor | Kılıç, Emrah | - |
dc.identifier.doi | 10.1080/03081087.2017.1412393 | - |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.scopusquality | Q2 | - |
item.openairetype | Article | - |
item.languageiso639-1 | en | - |
item.grantfulltext | open | - |
item.fulltext | With Fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
crisitem.author.dept | 07.03. 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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File | Description | Size | Format | |
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Anonlinear.pdf | article | 326.04 kB | Adobe PDF | View/Open |
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