A System of Coupled Matrix Equations with an Application over the Commutative Quaternion Ring
In this paper, we study the necessary and sufficient conditions for a system of matrix equations to have a solution and a Hermitian solution. As an application, we establish the necessary and sufficient conditions for a classical matrix system to have a reducible solution. Finally, we present an algorithm, along with two concrete examples to validate the main conclusions.
Authors
- Long-Sheng Liu (ORCID: https://orcid.org/0000-0002-6603-6415)
- Xiao-Quan Chen
- Qian-Wen Long
- Xiao-Xiao Ma (ORCID: https://orcid.org/0000-0002-9279-2783)
Institutions
- Anqing Normal University (CN)
Publication Details
- Journal
- Symmetry
- Published
- 2025-04-18
- DOI
- https://doi.org/10.3390/sym17040619
- Citations
- 1
- Primary Topic
- Algebraic and Geometric Analysis
- Type
- article
- Field-Weighted Citation Impact
- 3.73