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Lan, Jiaxin; Huang, Jingpin; Wang, Yun
AIMS mathematics, 2024, Letnik: 9, Številka: 7Journal Article
This paper focuses on the solution of the reduced biquaternion equation $ AX+XB = C $ using the E-extra iteration method. By utilizing the complex decomposition of a reduced biquaternion matrix, we transform the equation into a complex matrix equation. Subsequently, we analyze the convergence of this method and provide guidelines for selecting optimal parameters. Finally, numerical examples are presented to demonstrate the efficacy of our algorithm.
