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Open Access
|Sep 2017

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.

DOI: https://doi.org/10.1515/auom-2016-0054 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 189 - 207
Submitted on: Dec 7, 2015
Accepted on: Feb 16, 2016
Published on: Sep 21, 2017
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2017 Hidayet Hüda Kösal, Mahmut Akyiğit, Murat Tosun, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.