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On the Consimilarity of Split Quaternions and Split Quaternion Matrices

Authors :
Mahmut Akyiğit
Hidayet Hüda Kösal
Murat Tosun
Kosal, HH
Akyigit, M
Tosun, M
Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
Kösal, Hidayet Hüda
Akyiğit, Mahmut
Tosun, Murat
Source :
Analele Universitatii "Ovidius" Constanta - Seria Matematica. 24:189-207
Publication Year :
2016
Publisher :
Walter de Gruyter GmbH, 2016.

Abstract

In this paper, we introduce the concept of consimilarity of split quaternions and split quaternion matrices. In his regard, we examine the solvability conditions and general solutions of the equations and in split quaternions and split quaternion matrices, respectively. Moreover, coneigenvalue and coneigenvector are defined for split quaternion matrices. Some consequences are also presented.

Details

ISSN :
18440835 and 20160054
Volume :
24
Database :
OpenAIRE
Journal :
Analele Universitatii "Ovidius" Constanta - Seria Matematica
Accession number :
edsair.doi.dedup.....5953c859c8f2e308c40731edbe2841c6