Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/8428
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dc.contributor.advisorKılıç, Emrah-
dc.contributor.authorÇetinkaya, Leyla-
dc.date.accessioned2022-04-02T09:11:41Z-
dc.date.available2022-04-02T09:11:41Z-
dc.date.issued2013-
dc.identifier.urihttps://hdl.handle.net/20.500.11851/8428-
dc.description.abstractIn this thesis, with using terms of the Fibonacci sequence {F_n}, a new combinatorial matrix is defined. Some linear algebraic properties of this matrix are investigated. These features include LU factorization, Cholesky factorization, inverse and determinant. Also various matrix norms are calculated for helping us to find the best upper bound for the spectral radius of this matrix.en_US
dc.description.abstractBu tezde, Fibonacci dizisi {F_n} nin terimleri kullanılarak bir kombinatoryal matris tanımlanmıştır. Bu matrisin çeşitli lineer cebirsel özellikleri incelenmiştir. Bu özellikler; LU çarpanlaması, Cholesky çarpanlaması, tersi ve determinantıdır. Ayrıca bu matrisin spektiral yarçapı için çeşitli matris normlar hesaplanarak bunlar yardmı ile en iyi üst sınır verilmiştir.en_US
dc.language.isotren_US
dc.publisherTOBB Ekonomi ve Teknoloji Üniversitesi Fen Bilimleri Enstitüsü Matematik Anabilim Dalıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSymmetric matrixen_US
dc.subjectFibonacci and Lucas numbersen_US
dc.subjectLU ve Cholesky factorizationen_US
dc.subjectDeterminanten_US
dc.subjectSpectral radiusen_US
dc.subjectSimetrik matrisen_US
dc.subjectFibonacci ve Lucas sayılarıen_US
dc.subjectLU ve Cholesky çarpanlamasıen_US
dc.subjectDeterminanten_US
dc.subjectSpektiral yarıçapen_US
dc.titleSimetrik Fibonacci matrisien_US
dc.title.alternativeSymmetric Fibonacci matrixen_US
dc.typeMaster Thesisen_US
dc.departmentFaculties, Faculty of Science and Literature, Department of Mathematicsen_US
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümütr_TR
dc.relation.publicationcategoryTezen_US
item.openairetypeMaster Thesis-
item.languageiso639-1tr-
item.grantfulltextopen-
item.fulltextWith Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
Appears in Collections:Matematik Yüksek Lisans Tezleri / Mathematics Master Theses
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