Linear Equations Systems of Real and Complex Semi-Quaternions
| Autor: | Yasemin Alagöz, Gözde Özyurt |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Work (thermodynamics)
General Mathematics Matrix representation General Physics and Astronomy General Chemistry Matrix (mathematics) Adjugate matrix General Earth and Planetary Sciences Applied mathematics Mathematics::Differential Geometry General Agricultural and Biological Sciences Quaternion Linear equation Mathematics |
| Zdroj: | Iranian Journal of Science and Technology, Transactions A: Science. 44:1483-1493 |
| ISSN: | 2364-1819 1028-6276 |
| DOI: | 10.1007/s40995-020-00956-7 |
| Popis: | In this work firstly real semi-quaternion matrices and their properties are examined. Then, $$2n\times 2n$$ complex adjoint matrix and $$4n\times 4n$$ real matrix representation of a real semi-quaternion matrix are expressed. Further systems of linear real semi-quaternionic equations are investigated and in some of them the $$2n\times 2n$$ complex adjoint matrix and the $$4n\times 4n$$ real matrix representation are used. Moreover, matrices which entries are complex semi-quaternions and their $$2n\times 2n$$ real semi-quaternion matrix representation are presented. Additionally system of linear complex semi-quaternionic equations is described with this $$2n\times 2n$$ matrix representation. Finally, for a complex semi-quaternion matrix $$4n\times 4n$$ complex adjoint matrix is introduced. Also, linear complex semi-quaternionic equations systems are examined. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink