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dc.contributor.authorÖzdemir, Mustafa
dc.contributor.authorErdoğdu, Melek
dc.contributor.authorŞimşek, Hakan
dc.date.accessioned2020-04-24T10:12:53Z
dc.date.available2020-04-24T10:12:53Z
dc.date.issued2014
dc.identifier.citationÖzdemir, M., Erdoğdu, M., & Şimşek, H. (2014). On the eigenvalues and eigenvectors of a lorentzian rotation matrix by using split quaternions. Advances in Applied Clifford Algebras, 24(1), 179–192.en_US
dc.identifier.issn1661-4909
dc.identifier.urihttp://hdl.handle.net/20.500.12566/449
dc.description.abstractIn this paper, we examine eigenvalue problem of a rotation matrix in Minkowski 3 space by using split quaternions. We express the eigenvalues and the eigenvectors of a rotation matrix in term of the coefficients of the corresponding unit timelike split quaternion. We give the characterizations of eigenvalues (complex or real) of a rotation matrix in Minkowski 3 space according to only first component of the corresponding quaternion. Moreover, we find that the casual characters of rotation axis depend only on first component of the corresponding quaternion. Finally, we give the way to generate an orthogonal basis for 𝔼31 by using eigenvectors of a rotation matrix.en_US
dc.description.sponsorshipNo sponsoren_US
dc.language.isoengen_US
dc.publisherAdvances in Applied Clifford Algebrasen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectQuaternionsen_US
dc.subjectKuaterniyonlartr_TR
dc.subjectSplit quaternionsen_US
dc.subjectBölünmüş kuaterniyonlartr_TR
dc.subjectRotation matrixen_US
dc.subjectRotasyon matrisitr_TR
dc.titleOn the eigenvalues and eigenvectors of a lorentzian rotation matrix by using split quaternionsen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.relation.publicationcategoryInternational publicationen_US
dc.identifier.wosWOS:000331955100013
dc.identifier.scopus2-s2.0-84894330094
dc.identifier.volume24
dc.identifier.issue1
dc.identifier.startpage179
eperson.identifier.endpage192
dc.contributor.orcid0000-0002-1028-2676 [Şimşek, Hakan]
dc.contributor.abuauthorŞimşek, Hakan
dc.contributor.yokid258069 [Şimşek, Hakan]
dc.contributor.ScopusAuthorID57201540944 [Şimşek, Hakan]
dc.identifier.doihttps://doi.org/10.1007/s00006-013-0424-2


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