An algebraic algorithm for the diagonalization of a biquaternion matrix in the biquaternionic mechanics
- 4 May 2024
- journal article
- research article
- Published by Springer Nature in Computational and Applied Mathematics
- Vol. 43 (4) , 1-9
Abstract
No abstract availableKeywords
Funding Information
- Ministry of Science and Higher Education of the Russian Federation (No. FSRG-2023-0025, No. FSRG-2023-0025, No. 075-02-2024-1441, February 28, 2024)
- Chinese Government Scholarship (No. 202108370086, No. 202108370087)
This publication has 26 references indexed in Scilit:
- A complex structure-preserving algorithm for computing the singular value decomposition of a quaternion matrix and its applicationsNumerical Algorithms, 2023
- Biquaternion Extensions of Analytic FunctionsAdvances in Applied Clifford Algebras, 2022
- A complex structure-preserving algorithm for the full rank decomposition of quaternion matrices and its applicationsNumerical Algorithms, 2022
- A New Algebraic Technique for Quaternion Constrained Least Squares ProblemsAdvances in Applied Clifford Algebras, 2018
- Two Novel Algebraic Techniques for Quaternion Least Squares Problems in Quaternionic Quantum MechanicsAdvances in Applied Clifford Algebras, 2015
- An Algorithm for Coneigenvalues and Coneigenvectors of Quaternion MatricesAdvances in Applied Clifford Algebras, 2014
- BIQUATERNION QUANTUM MECHANICSAdvances in Applied Clifford Algebras, 2000
- Generalized diagonalization of matrices over quaternion fieldApplied Mathematics and Mechanics, 1999
- A Plain Man’s Guide to Bivectors, Biquaternions, and the Algebra and Geometry of Lorentz Transformations1999
- Quantum mechanics: From complex to complexified quaternionsInternational Journal of Theoretical Physics, 1997