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- Title
Solving a System of Sylvester-like Quaternion Matrix Equations.
- Authors
Wang, Ruo-Nan; Wang, Qing-Wen; Liu, Long-Sheng
- Abstract
Using the ranks and Moore-Penrose inverses of involved matrices, in this paper we establish some necessary and sufficient solvability conditions for a system of Sylvester-type quaternion matrix equations, and give an expression of the general solution to the system when it is solvable. As an application of the system, we consider a special symmetry solution, named the η -Hermitian solution, for a system of quaternion matrix equations. Moreover, we present an algorithm and a numerical example to verify the main results of this paper.
- Subjects
SYLVESTER matrix equations; QUATERNIONS; MATRIX inversion; EQUATIONS; HERMITIAN forms; MATRICES (Mathematics)
- Publication
Symmetry (20738994), 2022, Vol 14, Issue 5, p1056
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym14051056