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Solvability conditions and general solutions to some quaternion matrix equations

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This paper studies some quaternion matrix equations. We use the equivalence canonical form to present some practical necessary and sufficient conditions for the existence of a solution to the system… Click to show full abstract

This paper studies some quaternion matrix equations. We use the equivalence canonical form to present some practical necessary and sufficient conditions for the existence of a solution to the system of quaternion matrix equations in terms of ranks 1 AXE+CYF+DZG=Ω,BXH=Φ.

Keywords: quaternion matrix; solvability conditions; matrix equations; conditions general

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2021

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