Similarity and consimilarity of hyper-dual generalized quaternions

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dc.authoridOzyurt, Gozde/0000-0001-8722-4872
dc.contributor.authorAlagoz, Yasemin
dc.contributor.authorOzyurt, Gozde
dc.date.accessioned2025-03-09T10:49:07Z
dc.date.available2025-03-09T10:49:07Z
dc.date.issued2025
dc.departmentİstanbul Beykent Üniversitesi
dc.description.abstractThe aim of this paper is to investigate similarity and consimilarity of hyper-dual generalized quaternions and their matrices. For this purpose, we give different conjugates according to the generalized quaternionic units i,j,k. We present i-consimilarity of hyper-dual generalized quaternions and their matrices except hyper-dual (1)/(4)-quaternions. For the generalization consisting of hyper-dual coefficients quaternion and split quaternion, we search j-consimilarity and k-consimilarity with the help of j-conjugate and k-conjugate. We also give i,j,k-coneigenvalues and i,j,k-coneigenvectors of the matrices of these generalizations. In addition, we examine right coneigenvalue problem in generalized quaternion matrices for real and split quaternions. The complex matrix representation obtained through the complex adjoint matrix representation of this generalization is introduced, and its properties are presented. Besides, we give algebraic methods for the concept of right coneigenvalues and coneigenvectors for matrices, which are the generalization of real quaternion and split quaternion.
dc.description.sponsorshipYasemin Alagoz: Writing-original draft; conceptualization; methodology. Gozde ozyurt: Writing-original draft; conceptualization; methodology.
dc.identifier.doi10.1002/mma.10488
dc.identifier.endpage3350
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85204090139
dc.identifier.scopusqualityQ1
dc.identifier.startpage3337
dc.identifier.urihttps://doi.org/10.1002/mma.10488
dc.identifier.urihttps://hdl.handle.net/20.500.12662/4732
dc.identifier.volume48
dc.identifier.wosWOS:001313868200001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWiley
dc.relation.ispartofMathematical Methods in the Applied Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250310
dc.subjectconeigenvalue
dc.subjectconeigenvector
dc.subjecthyper-dual generalized quaternion
dc.subjecti-consimilarity
dc.subjectj-consimilarity
dc.subjectk-consimilarity
dc.subjectsimilarity
dc.titleSimilarity and consimilarity of hyper-dual generalized quaternions
dc.typeArticle

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