Journal
SYMMETRY-BASEL
Volume 14, Issue 3, Pages -Publisher
MDPI
DOI: 10.3390/sym14030550
Keywords
Sylvester-like matrix equation; quaternion; matrix equations; rank; generalized inverse
Categories
Funding
- National Natural Science Foundation of China [11971294, 12171369]
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The current study investigates the solvability conditions and the general solution of three symmetrical systems of coupled Sylvester-like quaternion matrix equations. An algorithm and a numerical example are constructed over the quaternions to validate the results of this paper.
The current study investigates the solvability conditions and the general solution of three symmetrical systems of coupled Sylvester-like quaternion matrix equations. Accordingly, the necessary and sufficient conditions for the consistency of these systems are determined, and the general solutions of the systems are thereby deduced. An algorithm and a numerical example are constructed over the quaternions to validate the results of this paper.
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