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- Title
The Hermitian Solution to a New System of Commutative Quaternion Matrix Equations.
- Authors
Zhang, Yue; Wang, Qing-Wen; Xie, Lv-Ming
- Abstract
This paper considers the Hermitian solutions of a new system of commutative quaternion matrix equations, where we establish both necessary and sufficient conditions for the existence of solutions. Furthermore, we derive an explicit general expression when it is solvable. In addition, we also provide the least squares Hermitian solution in cases where the system of matrix equations is not consistent. To illustrate our main findings, in this paper we present two numerical algorithms and examples.
- Subjects
QUATERNIONS; EQUATIONS; LEAST squares; MATRICES (Mathematics); COMMUTATIVE algebra
- Publication
Symmetry (20738994), 2024, Vol 16, Issue 3, p361
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym16030361