Some New Properties of The Real Quaternion Matrices and Matlab Applications

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dc.authorid299240en_US
dc.authorid8260en_US
dc.contributor.authorNalbant, Kemal Gökhan
dc.contributor.authorYüce, Salim
dc.date.accessioned2020-02-14T11:14:37Z
dc.date.available2020-02-14T11:14:37Z
dc.date.issued2019
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description.abstractIn this study, firstly, it was shown that the set of real quaternion matrices is a -dimensional module over the real matrix ring and -dimensional module over the complex matrix ring . Moreover, some new properties of the real quaternion matrices were described. Then, matrix representations of the real quaternion matrices were found easily by Matlab. These matrices were also applied to find the inverse of the real quaternion matrices and inverse matrices were obtained easily with these matrices. In addition, some new properties for matrix representations of the real quaternion matrices were found. Also, the inverse of the real quaternion block matrices was obtained by new methods. Finally, a new method to calculate the determinant of the real quaternion matrices was found and the determinant of these matrices was calculated easily with Matlab application.en_US
dc.identifier.citationCumhuriyet Sci. J., Vol.40-1(2019) 42-60en_US
dc.identifier.doi10.17776/csj.425691
dc.identifier.issn1308-2140
dc.identifier.trdizinid319759en_US
dc.identifier.urihttps://search.trdizin.gov.tr/yayin/detay/319759
dc.identifier.urihttps://doi.org/10.17776/csj.425691
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.publisherCumhuriyet Üniversitesien_US
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.subjectQuaternionsen_US
dc.subjectReal quaternionsen_US
dc.subjectReal quaternion matricesen_US
dc.subjectReal matrix representationen_US
dc.subjectDeterminanten_US
dc.subjectBlock matricesen_US
dc.titleSome New Properties of The Real Quaternion Matrices and Matlab Applicationsen_US
dc.typeArticleen_US

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