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- Title
Investigation of some Sylvester-type quaternion matrix equations with multiple unknowns.
- Authors
Zhang, Chong-Quan; Wang, Qing-Wen; Dmytryshyn, Andrii; He, Zhuo-Heng
- Abstract
In this paper, we consider the solvability conditions of some Sylvester-type quaternion matrix equations. We establish some practical necessary and sufficient conditions for the existence of solutions of a Sylvester-type quaternion matrix equation with five unknowns through the corresponding equivalence relations of the block matrices. Moreover, we present some solvability conditions to some Sylvester-type quaternion matrix equations, including those involving Hermicity. The findings of this article extend related known results.
- Subjects
QUATERNIONS; EQUATIONS
- Publication
Computational & Applied Mathematics, 2024, Vol 43, Issue 4, p1
- ISSN
0101-8205
- Publication type
Article
- DOI
10.1007/s40314-024-02706-6