Algebraic Techniques for Canonical Forms and Applications in Split Quaternionic Mechanics
The algebra of split quaternions is a recently increasing topic in the study of theory and numerical computation in split quaternionic mechanics. This paper, by means of a real representation of a split quaternion matrix, studies the problem of canonical forms of a split quaternion matrix and derive...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/4599585 |
| _version_ | 1826992643438018560 |
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| author | Tongsong Jiang Dong Zhang Zhenwei Guo Gang Wang V. I. Vasil’ev |
| author_facet | Tongsong Jiang Dong Zhang Zhenwei Guo Gang Wang V. I. Vasil’ev |
| author_sort | Tongsong Jiang |
| collection | DOAJ |
| description | The algebra of split quaternions is a recently increasing topic in the study of theory and numerical computation in split quaternionic mechanics. This paper, by means of a real representation of a split quaternion matrix, studies the problem of canonical forms of a split quaternion matrix and derives algebraic techniques for finding the canonical forms of a split quaternion matrix. This paper also gives two applications for the right eigenvalue and diagonalization in split quaternionic mechanics. |
| first_indexed | 2024-03-11T10:30:35Z |
| format | Article |
| id | doaj.art-5283a2d26ed04642822689e42d40000b |
| institution | Directory Open Access Journal |
| issn | 2314-4785 |
| language | English |
| last_indexed | 2025-02-18T08:52:43Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj.art-5283a2d26ed04642822689e42d40000b2024-11-02T23:56:58ZengHindawi LimitedJournal of Mathematics2314-47852023-01-01202310.1155/2023/4599585Algebraic Techniques for Canonical Forms and Applications in Split Quaternionic MechanicsTongsong Jiang0Dong Zhang1Zhenwei Guo2Gang Wang3V. I. Vasil’ev4School of Electronic InformationInstitute of Mathematics and Information ScienceInstitute of Mathematics and Information ScienceInstitute of Mathematics and Information ScienceInstitute of Mathematics and Information ScienceThe algebra of split quaternions is a recently increasing topic in the study of theory and numerical computation in split quaternionic mechanics. This paper, by means of a real representation of a split quaternion matrix, studies the problem of canonical forms of a split quaternion matrix and derives algebraic techniques for finding the canonical forms of a split quaternion matrix. This paper also gives two applications for the right eigenvalue and diagonalization in split quaternionic mechanics.http://dx.doi.org/10.1155/2023/4599585 |
| spellingShingle | Tongsong Jiang Dong Zhang Zhenwei Guo Gang Wang V. I. Vasil’ev Algebraic Techniques for Canonical Forms and Applications in Split Quaternionic Mechanics Journal of Mathematics |
| title | Algebraic Techniques for Canonical Forms and Applications in Split Quaternionic Mechanics |
| title_full | Algebraic Techniques for Canonical Forms and Applications in Split Quaternionic Mechanics |
| title_fullStr | Algebraic Techniques for Canonical Forms and Applications in Split Quaternionic Mechanics |
| title_full_unstemmed | Algebraic Techniques for Canonical Forms and Applications in Split Quaternionic Mechanics |
| title_short | Algebraic Techniques for Canonical Forms and Applications in Split Quaternionic Mechanics |
| title_sort | algebraic techniques for canonical forms and applications in split quaternionic mechanics |
| url | http://dx.doi.org/10.1155/2023/4599585 |
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