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Three Symmetrical Systems of Coupled Sylvester-like Quaternion Matrix Equations

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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. Accordingly, the necessary and sufficient conditions for the consistency… Click to show full abstract

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.

Keywords: sylvester like; symmetrical systems; like quaternion; coupled sylvester; three symmetrical; systems coupled

Journal Title: Symmetry
Year Published: 2022

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