MATRIX THEORY OVER DGC NUMBERS

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dc.authoridSaçlı (Şentürk), Gülsüm Yeliz/0000-0002-8647-1801
dc.authoridGürses, Nurten/0000-0001-8407-854X
dc.contributor.authorGurses, Nurten
dc.contributor.authorSenturk, Gulsum Yeliz
dc.date.accessioned2024-09-11T19:53:19Z
dc.date.available2024-09-11T19:53:19Z
dc.date.issued2023
dc.departmentİstanbul Gelişim Üniversitesien_US
dc.description.abstractClassical matrix theory for real, complex and hypercomplex numbers is a well-known concept. Is it possible to construct matrix theory over dual-generalized complex (DGC) matrices? The answer to this question is given in this paper. The paper is constructed as follows. Firstly, the fundamental concepts for DGC matrices are introduced and DGC special matrices are defined. Then, theoretical results related to eigenvalues/eigenvectors are obtained and universal similarity factorization equality (USFE) regarding to the dual fundamental matrix are presented. Also, spectral theorems for Hermitian and unitary matrices are introduced. Finally, due to the importance of unitary matrices, a method for finding a DGC unitary matrix is stated and examples for spectral theorem are given.en_US
dc.description.sponsorshipYildiz Technical University Scientific Research Projects Coordination Unit [FBA-2020-4015]en_US
dc.description.sponsorshipAcknowledgement: This work has been supported by Yildiz Technical University Scientific Research Projects Coordination Unit under project number FBA-2020-4015.en_US
dc.identifier.doi10.46939/J.Sci.Arts-23.1-a17
dc.identifier.endpage228en_US
dc.identifier.issn1844-9581
dc.identifier.issue1en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage209en_US
dc.identifier.urihttps://doi.org/10.46939/J.Sci.Arts-23.1-a17
dc.identifier.urihttps://hdl.handle.net/11363/8117
dc.identifier.wosWOS:000967778700017en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherEditura Bibliotheca-Bibliotheca Publ Houseen_US
dc.relation.ispartofJournal of Science And Artsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz20240903_Gen_US
dc.subjectdual-generalized complex numberen_US
dc.subjectmatrices over special ringsen_US
dc.subjecteigenvalues and eigenvectorsen_US
dc.subjectfundamental matrixen_US
dc.titleMATRIX THEORY OVER DGC NUMBERSen_US
dc.typeArticleen_US

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