Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/7655
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dc.contributor.authorKılıç, Emrah-
dc.contributor.authorStanica, Pantelimon-
dc.date.accessioned2021-09-11T15:58:36Z-
dc.date.available2021-09-11T15:58:36Z-
dc.date.issued2013en_US
dc.identifier.issn0377-0427-
dc.identifier.urihttps://doi.org/10.1016/j.cam.2012.07.018-
dc.identifier.urihttps://hdl.handle.net/20.500.11851/7655-
dc.description.abstractThe inverses of r-banded matrices, for r = 1, 2, 3 have been thoroughly investigated as one can see from the references we provide. Let B-r,B- n(1 <= r <= n) be an n x n matrix of entries {a(j)(i)}, -r <= I <= r, 1 <= j <= r, with the remaining un-indexed entries all zeros. In this paper, generalizing a method of Mallik (1999) [5], we give the LU factorization and the inverse of the matrix B-r,B- n (if it exists). Our results are valid for an arbitrary square matrix (taking r = n), and so, we will give a new approach for computing the inverse of an invertible square matrix. Our method is based on Hessenberg submatrices associated to B-r,B-n. (c) 2012 Elsevier B.V. All rights reserved.en_US
dc.description.sponsorshipAir Force-CVAQ; NPS-RIPen_US
dc.description.sponsorshipThe second author was partially supported by Air Force-CVAQ(D. Nussbaum) and NPS-RIP.en_US
dc.language.isoenen_US
dc.publisherElsevier Science Bven_US
dc.relation.ispartofJournal of Computational And Applied Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectTriangular matrixen_US
dc.subjectHessenberg matrixen_US
dc.subjectInverseen_US
dc.subjectr-banded matrixen_US
dc.titleThe Inverse of Banded 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.volume237en_US
dc.identifier.issue1en_US
dc.identifier.startpage126en_US
dc.identifier.endpage135en_US
dc.authorid0000-0003-0722-7382-
dc.identifier.wosWOS:000309847100010en_US
dc.identifier.scopus2-s2.0-84865432700en_US
dc.institutionauthorKılıç, Emrah-
dc.identifier.doi10.1016/j.cam.2012.07.018-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ1-
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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