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Research Article | Open Access

The solutions of two classes of dual matrix equations

Yinlan Chen( ), Min Zeng, Ranran Fan, Yongxin Yuan
School of Mathematics and Statistics, Hubei Normal University, Huangshi, 435002, China
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Abstract

The solvability conditions for the dual matrix equation A X B = D and a pair of dual matrix equations A X = C and X B = D are deduced by applying the singular value decomposition, and the expressions of the general solutions to these dual matrix equations are provided. Furthermore, the minimum-norm solutions of these dual matrix equations are provided. Finally, two numerical experiments are given to validate the accuracy of the results obtained.

Keywords

dual matrix equationsingular value decompositiongeneral solutionminimum-norm solution
CLC number: 15A24, 65F05

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AIMS Mathematics
Volume 8 Issue 10,
October 2023
Pages 23016-23031
DOI: 10.3934/math.20231171

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Cite this article:
Chen Y, Zeng M, Fan R, et al. The solutions of two classes of dual matrix equations. AIMS Mathematics, 2023, 8(10): 23016-23031. https://doi.org/10.3934/math.20231171

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Received: 23 May 2023
Revised: 28 June 2023
Accepted: 04 July 2023
Published: 15 October 2023
©2023 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)