On the Consimilarity of Split Quaternions and Split Quaternion Matrices

Hidayet Hüda Kösal; Mahmut Akyiğit; Murat Tosun

doi:10.1515/auom-2016-0054

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On the Consimilarity of Split Quaternions and Split Quaternion Matrices

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 24 (2016): Issue 3 (November 2016)

By: Hidayet Hüda Kösal, Mahmut Akyiğit and Murat Tosun

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.

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Articles in this issue

DOI: https://doi.org/10.1515/auom-2016-0054 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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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

Keywords:

Split quaternion,

Split quaternion matrix,

Related subjects:

© 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.

Volume 24 (2016): Issue 3 (November 2016)