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Research Article | Open Access

An E-extra iteration method for solving reduced biquaternion matrix equation A X + X B = C

Jiaxin Lan1( ), Jingpin Huang2, Yun Wang3
School of Humanities and Education, Guangxi Financial Vocational College, Nanning 530007, China
College of Mathematics and Physics, Guangxi Minzu University, Nanning 530006, China
School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China
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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.

Keywords

reduced biquaternionE-extra iteration methodcomplex decompositionconvergence analysisnumerical example
CLC number: 15A33, 65F05

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AIMS Mathematics
Volume 9 Issue 7,
July 2024
Pages 17578-17589
DOI: 10.3934/math.2024854

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Cite this article:
Lan J, Huang J, Wang Y. An E-extra iteration method for solving reduced biquaternion matrix equation A X + X B = C. AIMS Mathematics, 2024, 9(7): 17578-17589. https://doi.org/10.3934/math.2024854

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Received: 15 March 2024
Revised: 01 May 2024
Accepted: 10 May 2024
Published: 15 July 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)