An E-extra iteration method for solving reduced biquaternion matrix equation AX+XB=C

Autor: Jiaxin Lan, Jingpin Huang, Yun Wang
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 7, Pp 17578-17589 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2024854?viewType=HTML
Popis: 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.
Databáze: Directory of Open Access Journals