@article{Lan2024, 
author = {Jiaxin Lan and Jingpin Huang and Yun Wang},
title = {An E-extra iteration method for solving reduced biquaternion matrix equation    A  X  +  X  B  =  C},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {7},
pages = {17578-17589},
keywords = {reduced biquaternion, E-extra iteration method, complex decomposition, convergence analysis, numerical example},
url = {https://www.sciopen.com/article/10.3934/math.2024854},
doi = {10.3934/math.2024854},
abstract = {This paper focuses on the solution of the reduced biquaternion equation    A  X  +  X  B  =  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.}
}