On the Solutions of Some Linear Complex Quaternionic Equations

Some complex quaternionic equations in the type AX − XB = C are investigated. For convenience, these equations were called generalized Sylvester-quaternion equations, which include the Sylvester equation as special cases. By the real matrix representations of complex quaternions, the necessary and s...

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Detalles Bibliográficos
Autores principales: Bolat, Cennet, İpek, Ahmet
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4101936/
https://www.ncbi.nlm.nih.gov/pubmed/25101318
http://dx.doi.org/10.1155/2014/563181
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author Bolat, Cennet
İpek, Ahmet
author_facet Bolat, Cennet
İpek, Ahmet
author_sort Bolat, Cennet
collection PubMed
description Some complex quaternionic equations in the type AX − XB = C are investigated. For convenience, these equations were called generalized Sylvester-quaternion equations, which include the Sylvester equation as special cases. By the real matrix representations of complex quaternions, the necessary and sufficient conditions for the solvability and the general expressions of the solutions are obtained.
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spelling pubmed-41019362014-08-06 On the Solutions of Some Linear Complex Quaternionic Equations Bolat, Cennet İpek, Ahmet ScientificWorldJournal Research Article Some complex quaternionic equations in the type AX − XB = C are investigated. For convenience, these equations were called generalized Sylvester-quaternion equations, which include the Sylvester equation as special cases. By the real matrix representations of complex quaternions, the necessary and sufficient conditions for the solvability and the general expressions of the solutions are obtained. Hindawi Publishing Corporation 2014 2014-07-02 /pmc/articles/PMC4101936/ /pubmed/25101318 http://dx.doi.org/10.1155/2014/563181 Text en Copyright © 2014 C. Bolat and A. İpek. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Bolat, Cennet
İpek, Ahmet
On the Solutions of Some Linear Complex Quaternionic Equations
title On the Solutions of Some Linear Complex Quaternionic Equations
title_full On the Solutions of Some Linear Complex Quaternionic Equations
title_fullStr On the Solutions of Some Linear Complex Quaternionic Equations
title_full_unstemmed On the Solutions of Some Linear Complex Quaternionic Equations
title_short On the Solutions of Some Linear Complex Quaternionic Equations
title_sort on the solutions of some linear complex quaternionic equations
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4101936/
https://www.ncbi.nlm.nih.gov/pubmed/25101318
http://dx.doi.org/10.1155/2014/563181
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