Solvability Conditions and General Solution of a System of Matrix Equations Involving η-Skew-Hermitian Quaternion Matrices
<p dir="ltr">In this article, we study the solvability conditions and the general solution of a system of matrix equations involving η-skew-Hermitian quaternion matrices. Several special cases of this system are discussed, and we recover some well-known results in the literature. An...
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| مؤلفون آخرون: | , , |
| منشور في: |
2021
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| _version_ | 1864513506020163584 |
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| author | Abdur Rehman (11154) |
| author2 | Israr Ali Khan (19570153) Rukhshanda Anjum (19547812) Iftikhar Hussain (8827335) |
| author2_role | author author author |
| author_facet | Abdur Rehman (11154) Israr Ali Khan (19570153) Rukhshanda Anjum (19547812) Iftikhar Hussain (8827335) |
| author_role | author |
| dc.creator.none.fl_str_mv | Abdur Rehman (11154) Israr Ali Khan (19570153) Rukhshanda Anjum (19547812) Iftikhar Hussain (8827335) |
| dc.date.none.fl_str_mv | 2021-09-30T03:00:00Z |
| dc.identifier.none.fl_str_mv | 10.3390/sym13101825 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/Solvability_Conditions_and_General_Solution_of_a_System_of_Matrix_Equations_Involving_-Skew-Hermitian_Quaternion_Matrices/26976568 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Theory of computation Mathematical sciences Applied mathematics matrix equation quaternions general solution |
| dc.title.none.fl_str_mv | Solvability Conditions and General Solution of a System of Matrix Equations Involving η-Skew-Hermitian Quaternion Matrices |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p dir="ltr">In this article, we study the solvability conditions and the general solution of a system of matrix equations involving η-skew-Hermitian quaternion matrices. Several special cases of this system are discussed, and we recover some well-known results in the literature. An algorithm and a numerical example for the validation of our main result are also provided.</p><h2>Other Information</h2><p dir="ltr">Published in: Symmetry<br>License: <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank">https://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.3390/sym13101825" target="_blank">https://dx.doi.org/10.3390/sym13101825</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_0876467b6f9a8a89b6031eac4ab3a8ea |
| identifier_str_mv | 10.3390/sym13101825 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/26976568 |
| publishDate | 2021 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | Solvability Conditions and General Solution of a System of Matrix Equations Involving η-Skew-Hermitian Quaternion MatricesAbdur Rehman (11154)Israr Ali Khan (19570153)Rukhshanda Anjum (19547812)Iftikhar Hussain (8827335)Theory of computationMathematical sciencesApplied mathematicsmatrix equationquaternionsgeneral solution<p dir="ltr">In this article, we study the solvability conditions and the general solution of a system of matrix equations involving η-skew-Hermitian quaternion matrices. Several special cases of this system are discussed, and we recover some well-known results in the literature. An algorithm and a numerical example for the validation of our main result are also provided.</p><h2>Other Information</h2><p dir="ltr">Published in: Symmetry<br>License: <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank">https://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.3390/sym13101825" target="_blank">https://dx.doi.org/10.3390/sym13101825</a></p>2021-09-30T03:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.3390/sym13101825https://figshare.com/articles/journal_contribution/Solvability_Conditions_and_General_Solution_of_a_System_of_Matrix_Equations_Involving_-Skew-Hermitian_Quaternion_Matrices/26976568CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/269765682021-09-30T03:00:00Z |
| spellingShingle | Solvability Conditions and General Solution of a System of Matrix Equations Involving η-Skew-Hermitian Quaternion Matrices Abdur Rehman (11154) Theory of computation Mathematical sciences Applied mathematics matrix equation quaternions general solution |
| status_str | publishedVersion |
| title | Solvability Conditions and General Solution of a System of Matrix Equations Involving η-Skew-Hermitian Quaternion Matrices |
| title_full | Solvability Conditions and General Solution of a System of Matrix Equations Involving η-Skew-Hermitian Quaternion Matrices |
| title_fullStr | Solvability Conditions and General Solution of a System of Matrix Equations Involving η-Skew-Hermitian Quaternion Matrices |
| title_full_unstemmed | Solvability Conditions and General Solution of a System of Matrix Equations Involving η-Skew-Hermitian Quaternion Matrices |
| title_short | Solvability Conditions and General Solution of a System of Matrix Equations Involving η-Skew-Hermitian Quaternion Matrices |
| title_sort | Solvability Conditions and General Solution of a System of Matrix Equations Involving η-Skew-Hermitian Quaternion Matrices |
| topic | Theory of computation Mathematical sciences Applied mathematics matrix equation quaternions general solution |