On the Consimilarity of Split Quaternions and Split Quaternion Matrices

Kösal, Hidayet Hüda; Akyiğit, Mahmut; Tosun, Murat

dc.contributor.authors	Kosal, HH; Akyigit, M; Tosun, M;
dc.date.accessioned	2020-01-17T08:21:40Z
dc.date.available	2020-01-17T08:21:40Z
dc.date.issued	2016
dc.identifier.citation	Kosal, HH; Akyigit, M; Tosun, M; (2016). On the Consimilarity of Split Quaternions and Split Quaternion Matrices. Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica, 24, 207-189
dc.identifier.issn	1224-1784
dc.identifier.uri	https://hdl.handle.net/20.500.12619/6058
dc.description.abstract	In this paper, we introduce the concept of consimilarity of split quaternions and split quaternion matrices. In this regard, we examine the solvability conditions and general solutions of the equations a (x) over tilde= xb and A (X) over tilde = XB in split quaternions and split quaternion matrices, respectively. Moreover, coneigenvalue and coneigenvector are defined for split quaternion matrices. Some consequences are also presented.
dc.description.uri	https://doi.org/10.1515/auom-2016-0054
dc.language	English
dc.publisher	OVIDIUS UNIV PRESS
dc.subject	Mathematics
dc.title	On the Consimilarity of Split Quaternions and Split Quaternion Matrices
dc.type	Article
dc.identifier.volume	24
dc.identifier.startpage	189
dc.identifier.endpage	207
dc.contributor.department	Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.saüauthor	Kösal, Hidayet Hüda
dc.contributor.saüauthor	Akyiğit, Mahmut
dc.contributor.saüauthor	Tosun, Murat
dc.relation.journal	Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica
dc.identifier.wos	WOS:000392747700010
dc.identifier.doi	10.1515/auom-2016-0054
dc.identifier.eissn	1844-0835
dc.contributor.author	Kösal, Hidayet Hüda
dc.contributor.author	Akyiğit, Mahmut
dc.contributor.author	Tosun, Murat