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 suffi...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/563181 |
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| _version_ | 1832554146294661120 |
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| author | Cennet Bolat Ahmet İpek |
| author_facet | Cennet Bolat Ahmet İpek |
| author_sort | Cennet Bolat |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-496811b19935493ab4666852386a3e21 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-496811b19935493ab4666852386a3e212025-02-03T05:52:14ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/563181563181On the Solutions of Some Linear Complex Quaternionic EquationsCennet Bolat0Ahmet İpek1Department of Mathematics, Faculty of Art and Science, Mustafa Kemal University, Tayfur Sökmen Campus, 31100 Hatay, TurkeyDepartment of Mathematics, Faculty of Kamil Özdağ Science, Karamanoğlu Mehmetbey University, 70100 Karaman, TurkeySome 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.http://dx.doi.org/10.1155/2014/563181 |
| spellingShingle | Cennet Bolat Ahmet İpek On the Solutions of Some Linear Complex Quaternionic Equations The Scientific World Journal |
| 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 |
| url | http://dx.doi.org/10.1155/2014/563181 |
| work_keys_str_mv | AT cennetbolat onthesolutionsofsomelinearcomplexquaternionicequations AT ahmetipek onthesolutionsofsomelinearcomplexquaternionicequations |