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.
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This research was supported by the National Natural Science Foundation of China (Grant Nos. 12371023, 12271338).
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Zhang, CQ., Wang, QW., Dmytryshyn, A. et al. Investigation of some Sylvester-type quaternion matrix equations with multiple unknowns. Comp. Appl. Math. 43, 181 (2024). https://doi.org/10.1007/s40314-024-02706-6
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DOI: https://doi.org/10.1007/s40314-024-02706-6