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- Title
The η -Anti-Hermitian Solution to a System of Constrained Matrix Equations over the Generalized Segre Quaternion Algebra.
- Authors
Ren, Bai-Ying; Wang, Qing-Wen; Chen, Xue-Ying
- Abstract
In this paper, we propose three real representations of a generalized Segre quaternion matrix. We establish necessary and sufficient conditions for the existence of the η -anti-Hermitian solution to a system of constrained matrix equations over the generalized Segre quaternion algebra. We also obtain the expression of the general η -anti-Hermitian solution to the system when it is solvable. Finally, we provide a numerical example to verify the main results of this paper.
- Subjects
QUATERNIONS; ALGEBRA; EQUATIONS; SYLVESTER matrix equations; MATRICES (Mathematics)
- Publication
Symmetry (20738994), 2023, Vol 15, Issue 3, p592
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym15030592