On Hermitian Solutions of the Generalized Quaternion Matrix Equation AXB+CX D=E

The paper deals with the matrix equation AXB+CX D=E over the generalized quaternions. By the tools of the real representation of a generalized quaternion matrix, Kronecker product as well as vec-operator, the paper derives the necessary and sufficient conditions for the existence of a Hermitian solu...

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Veröffentlicht in:	Mathematical problems in engineering 2021-01, Vol.2021
Hauptverfasser:	Tian, Yong, Liu, Xin, Yuan, Shi-Fang
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematical problems Operators (mathematics) Quaternions
Online-Zugang:	Volltext
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