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- Title
Solving a system of two-sided Sylvester-like quaternion tensor equations.
- Authors
Qin, Jing; Wang, Qing-Wen
- Abstract
In this paper, we establish some necessary and sufficient conditions for the solvability to a system of two-sided Sylvester-like tensor equations over the quaternion algebra. We also construct an expression of the general solution to the system when it is solvable. As an application, we give some solvability conditions and expressions of the η -Hermitian solutions to some systems of two-sided Sylvester-like quaternion tensor equations. We also provide some algorithms and numerical examples to illustrate the main results of this paper.
- Subjects
QUATERNIONS; EQUATIONS; ALGEBRA; HERMITIAN forms; ALGORITHMS
- Publication
Computational & Applied Mathematics, 2023, Vol 42, Issue 5, p1
- ISSN
0101-8205
- Publication type
Article
- DOI
10.1007/s40314-023-02349-z