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https://hdl.handle.net/20.500.11851/1693
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kılıç, Emrah | - |
dc.contributor.author | Prodinger, Helmut | - |
dc.date.accessioned | 2019-07-04T14:19:43Z | |
dc.date.available | 2019-07-04T14:19:43Z | |
dc.date.issued | 2016-09 | |
dc.identifier.citation | Kılıç, E., & Prodinger, H. (2016). The generalized Lilbert matrix. Periodica Mathematica Hungarica, 73(1), 62-72. | en_US |
dc.identifier.issn | 0031-5303 | |
dc.identifier.uri | https://hdl.handle.net/20.500.11851/1693 | - |
dc.description.abstract | We introduce a generalized Lilbert [Lucas-Hilbert] matrix. Explicit formul' are derived for the LU-decomposition and their inverses, as well as the Cholesky decomposition. The approach is to use q-analysis and to leave the justification of the necessary identities to the q-version of Zeilberger's celebrated algorithm. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Springer | en_US |
dc.relation.ispartof | Periodica Mathematica Hungarica | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Lilbert matrix | en_US |
dc.subject | Filbert matrix | en_US |
dc.subject | Pilbert matrix | en_US |
dc.subject | Fibonacci numbers | en_US |
dc.subject | q-Analogues | en_US |
dc.subject | LU-decomposition | en_US |
dc.subject | Cholesky decomposition | en_US |
dc.subject | Zeilberger's algorithm | en_US |
dc.title | The Generalized Lilbert Matrix | 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 | 73 | |
dc.identifier.issue | 1 | |
dc.identifier.startpage | 62 | |
dc.identifier.endpage | 72 | |
dc.identifier.wos | WOS:000380694300005 | en_US |
dc.identifier.scopus | 2-s2.0-84963769008 | en_US |
dc.institutionauthor | Kılıç, Emrah | - |
dc.identifier.doi | 10.1007/s10998-016-0128-1 | - |
dc.identifier.doi | 10.1007/s10998-016-0128-1 | - |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.scopusquality | Q4 | - |
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 |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Gen.Lilbert Matrix.pdf | 288.38 kB | Adobe PDF | View/Open |
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