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MATRIX THEORY OVER DGC NUMBERS

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dc.contributor.authorGurses, Nurten
dc.contributor.authorSenturk, Gulsum Yeliz
dc.date.accessioned2026-06-27T14:49:21Z
dc.date.issued2023
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
dc.description.sponsorshipYildiz Technical University Scientific Research Projects Coordination Unit [FBA-2020-4015]
dc.description.urihttps://doi.org/10.46939/j.sci.arts-23.1-a17
dc.identifier.doi10.46939/j.sci.arts-23.1-a17
dc.identifier.endpage228
dc.identifier.issn1844-9581
dc.identifier.issue1
dc.identifier.startpage209
dc.identifier.urihttps://hdl.handle.net/20.500.14981/65199
dc.identifier.wos000967778700017
dc.language.isoeng
dc.publisherEDITURA BIBLIOTHECA-BIBLIOTHECA PUBL HOUSE
dc.relation.ispartofJOURNAL OF SCIENCE AND ARTS
dc.rightsopenAccess
dc.subjectdual-generalized complex number
dc.subjectmatrices over special rings
dc.subjecteigenvalues and eigenvectors
dc.subjectfundamental matrix
dc.subjectScience & Technology - Other Topics
dc.titleMATRIX THEORY OVER DGC NUMBERS
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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