Cramer’s rule over quaternions and split quaternions: A unified algebraic approach in quaternionic and split quaternionic mechanics
DOI10.1142/S0219498821500808zbMath1483.11251OpenAlexW3006181643MaRDI QIDQ5162785
Dong Zhang, Zhenwei Guo, Gang Wang, Tong-Song Jiang
Publication date: 5 November 2021
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219498821500808
Cramer's rulequaternionsplit quaternioncomplex matrix representationsplit quaternionic mechanicsquaternionic mechanicsV-quaternion
Matrices over special rings (quaternions, finite fields, etc.) (15B33) Linear equations (linear algebraic aspects) (15A06) Quaternion and other division algebras: arithmetic, zeta functions (11R52)
Cites Work
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- Cramer's rule for some quaternion matrix equations
- Algebraic methods for least squares problem in split quaternionic mechanics
- Algebraic algorithms for least squares problem in quaternionic quantum theory
- Cramer's rules for some Hermitian coquaternionic matrix equations
- Algebraic techniques for Schrödinger equations in split quaternionic mechanics
- Algebraic techniques for eigenvalues and eigenvectors of a split quaternion matrix in split quaternionic mechanics
- Cramer rule for quaternionic linear equations in quaternionic quantum theory
- Non-Hermitian Quantum Mechanics
- On complexified mechanics and coquaternions
- Algebraic methods for diagonalization of a quaternion matrix in quaternionic quantum theory
- Right eigenvalue equation in quaternionic quantum mechanics
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