Determinantal Representations of General and (Skew-)Hermitian Solutions to the Generalized Sylvester-Type Quaternion Matrix Equation
In this paper, we derive explicit determinantal representation formulas of general, Hermitian, and skew-Hermitian solutions to the generalized Sylvester matrix equation involving ⁎-Hermicity AXA⁎+BYB⁎=C over the quaternion skew field within the framework of the theory of noncommutative column-row de...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2019/5926832 |
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| author | Ivan I. Kyrchei |
| author_facet | Ivan I. Kyrchei |
| author_sort | Ivan I. Kyrchei |
| collection | DOAJ |
| description | In this paper, we derive explicit determinantal representation formulas of general, Hermitian, and skew-Hermitian solutions to the generalized Sylvester matrix equation involving ⁎-Hermicity AXA⁎+BYB⁎=C over the quaternion skew field within the framework of the theory of noncommutative column-row determinants. |
| format | Article |
| id | doaj-art-b9cf74c90dd144e38340d3df4c0af5e1 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b9cf74c90dd144e38340d3df4c0af5e12025-08-20T02:23:15ZengWileyAbstract and Applied Analysis1085-33751687-04092019-01-01201910.1155/2019/59268325926832Determinantal Representations of General and (Skew-)Hermitian Solutions to the Generalized Sylvester-Type Quaternion Matrix EquationIvan I. Kyrchei0Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NAS of Ukraine, Lviv 79060, UkraineIn this paper, we derive explicit determinantal representation formulas of general, Hermitian, and skew-Hermitian solutions to the generalized Sylvester matrix equation involving ⁎-Hermicity AXA⁎+BYB⁎=C over the quaternion skew field within the framework of the theory of noncommutative column-row determinants.http://dx.doi.org/10.1155/2019/5926832 |
| spellingShingle | Ivan I. Kyrchei Determinantal Representations of General and (Skew-)Hermitian Solutions to the Generalized Sylvester-Type Quaternion Matrix Equation Abstract and Applied Analysis |
| title | Determinantal Representations of General and (Skew-)Hermitian Solutions to the Generalized Sylvester-Type Quaternion Matrix Equation |
| title_full | Determinantal Representations of General and (Skew-)Hermitian Solutions to the Generalized Sylvester-Type Quaternion Matrix Equation |
| title_fullStr | Determinantal Representations of General and (Skew-)Hermitian Solutions to the Generalized Sylvester-Type Quaternion Matrix Equation |
| title_full_unstemmed | Determinantal Representations of General and (Skew-)Hermitian Solutions to the Generalized Sylvester-Type Quaternion Matrix Equation |
| title_short | Determinantal Representations of General and (Skew-)Hermitian Solutions to the Generalized Sylvester-Type Quaternion Matrix Equation |
| title_sort | determinantal representations of general and skew hermitian solutions to the generalized sylvester type quaternion matrix equation |
| url | http://dx.doi.org/10.1155/2019/5926832 |
| work_keys_str_mv | AT ivanikyrchei determinantalrepresentationsofgeneralandskewhermitiansolutionstothegeneralizedsylvestertypequaternionmatrixequation |