On the Consimilarity of Split Quaternions and Split Quaternion Matrices
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...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2016-11-01
|
| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/auom-2016-0054 |
| _version_ | 1818307386948976640 |
|---|---|
| author | Kösal Hidayet Hüda Akyiğit Mahmut Tosun Murat |
| author_facet | Kösal Hidayet Hüda Akyiğit Mahmut Tosun Murat |
| author_sort | Kösal Hidayet Hüda |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-13T06:57:34Z |
| format | Article |
| id | doaj.art-15db706617bc4c148797a95579376438 |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-12-13T06:57:34Z |
| publishDate | 2016-11-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-15db706617bc4c148797a955793764382022-12-21T23:56:00ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352016-11-0124318920710.1515/auom-2016-0054On the Consimilarity of Split Quaternions and Split Quaternion MatricesKösal Hidayet Hüda0Akyiğit Mahmut1Tosun Murat2Department of Mathematics, Sakarya University, 54187 Serdivan / Sakarya / TurkeyDepartment of Mathematics, Sakarya University, 54187 Serdivan / Sakarya / TurkeyDepartment of Mathematics, Sakarya University, 54187 Serdivan / Sakarya / TurkeyIn 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.https://doi.org/10.1515/auom-2016-0054split quaternionsplit quaternion matrixconsimilarityconeigenvalueprimary 15b33secondary 15a24. |
| spellingShingle | Kösal Hidayet Hüda Akyiğit Mahmut Tosun Murat On the Consimilarity of Split Quaternions and Split Quaternion Matrices Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica split quaternion split quaternion matrix consimilarity coneigenvalue primary 15b33 secondary 15a24. |
| title | On the Consimilarity of Split Quaternions and Split Quaternion Matrices |
| title_full | On the Consimilarity of Split Quaternions and Split Quaternion Matrices |
| title_fullStr | On the Consimilarity of Split Quaternions and Split Quaternion Matrices |
| title_full_unstemmed | On the Consimilarity of Split Quaternions and Split Quaternion Matrices |
| title_short | On the Consimilarity of Split Quaternions and Split Quaternion Matrices |
| title_sort | on the consimilarity of split quaternions and split quaternion matrices |
| topic | split quaternion split quaternion matrix consimilarity coneigenvalue primary 15b33 secondary 15a24. |
| url | https://doi.org/10.1515/auom-2016-0054 |
| work_keys_str_mv | AT kosalhidayethuda ontheconsimilarityofsplitquaternionsandsplitquaternionmatrices AT akyigitmahmut ontheconsimilarityofsplitquaternionsandsplitquaternionmatrices AT tosunmurat ontheconsimilarityofsplitquaternionsandsplitquaternionmatrices |