On the Eigenvalues and Eigenvectors of a Lorentzian Rotation Matrix by Using Split Quaternions

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dc.contributor.authorOzdemir, Mustafa
dc.contributor.authorErdogdu, Melek
dc.contributor.authorSimsek, Hakan
dc.date.accessioned2024-02-23T13:43:27Z
dc.date.available2024-02-23T13:43:27Z
dc.date.issued2014
dc.departmentNEÜen_US
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 by using eigenvectors of a rotation matrix.en_US
dc.identifier.doi10.1007/s00006-013-0424-2
dc.identifier.endpage192en_US
dc.identifier.issn0188-7009
dc.identifier.issn1661-4909
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-84894330094en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage179en_US
dc.identifier.urihttps://doi.org/10.1007/s00006-013-0424-2
dc.identifier.urihttps://hdl.handle.net/20.500.12452/10816
dc.identifier.volume24en_US
dc.identifier.wosWOS:000331955100013en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Basel Agen_US
dc.relation.ispartofAdvances In Applied Clifford Algebrasen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectQuaternionsen_US
dc.subjectSplit Quaternionsen_US
dc.subjectRotation Matrixen_US
dc.titleOn the Eigenvalues and Eigenvectors of a Lorentzian Rotation Matrix by Using Split Quaternionsen_US
dc.typeArticleen_US

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