On exponential of split quaternionic matrices

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dc.contributor.authorErdogdu, Melek
dc.contributor.authorOzdemir, Mustafa
dc.date.accessioned2024-02-23T14:02:04Z
dc.date.available2024-02-23T14:02:04Z
dc.date.issued2017
dc.departmentNEÜen_US
dc.description.abstractThe exponential of a matrix plays an important role in the theory of Lie groups. The main purpose of this paper is to examine matrix groups over the split quaternions and the exponential map from their Lie algebras into the groups. Since the set of split quaternions is a noncommutative algebra, the way of computing the exponential of a matrix over the split quaternions is more difficult than calculating the exponential of a matrix over the real or complex numbers. Therefore, we give a method of finding exponential of a split quaterriion matrix by its complex adjoint matrix. (C) 2017 Elsevier Inc. All rights reserved.en_US
dc.identifier.doi10.1016/j.amc.2017.08.007
dc.identifier.endpage476en_US
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.scopus2-s2.0-85027412106en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage468en_US
dc.identifier.urihttps://doi.org/10.1016/j.amc.2017.08.007
dc.identifier.urihttps://hdl.handle.net/20.500.12452/11566
dc.identifier.volume315en_US
dc.identifier.wosWOS:000412253200036en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofApplied Mathematics And Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectQuaternionen_US
dc.subjectSplit Quatemionen_US
dc.subjectQuaternion Matrixen_US
dc.titleOn exponential of split quaternionic matricesen_US
dc.typeArticleen_US

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