Dual Quaternion Matrices and MATLAB Applications

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dc.contributor.authorNalbant, Kemal Gokhan
dc.contributor.authorYuce, Salim
dc.date.accessioned2025-03-09T10:49:08Z
dc.date.available2025-03-09T10:49:08Z
dc.date.issued2024
dc.departmentİstanbul Beykent Üniversitesi
dc.description.abstractThere are many studies in the literature on real quaternions and real quaternion matrices. There are few studies in the literature on dual quaternions. Definitions of the matrices of dual quaternions used in this study will be given. The originality of our research, the set of dual quaternion matrix we studied, will be defined for the first time in this study, and its properties will be given. Moreover, this study is critical because it is an applied study related to dual quaternion matrices. It will be easier to solve examples with large matrix sizes with MATLAB. People who use different programs can also write applications inspired by them. In this work, the set of dual quaternion matrices is examined. Among the dual quaternion matrices, additional features such as addition, multiplication, inverse, transpose, conjugate, power, and trace are explored. In addition, real matrix representations of dual quaternion matrices and their characteristics were developed. These were utilized to determine the dual quaternion matrices' determinants and inverses. In addition, many types of determinants and inverses of dual quaternion matrices were created, and MATLAB applications were developed to facilitate the solution of cases utilizing these techniques. Finally, the results and methodologies were compared to the actual quaternion matrix characteristics.
dc.identifier.issn1932-9466
dc.identifier.issue1
dc.identifier.scopusqualityN/A
dc.identifier.urihttps://hdl.handle.net/20.500.12662/4738
dc.identifier.volume19
dc.identifier.wosWOS:001288503600015
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherPrairie View A & M Univ, Dept Mathematics
dc.relation.ispartofApplications and Applied Mathematics-An International Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250310
dc.subjectQuaternions
dc.subjectDual quaternions
dc.subjectDual quaternion matrices
dc.subjectReal matrix representa- tion
dc.subjectMATLAB applications
dc.subjectInverse
dc.subjectPower
dc.subjectDeterminant
dc.titleDual Quaternion Matrices and MATLAB Applications
dc.typeArticle

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