@article{Chen2023, 
author = {Yinlan Chen and Min Zeng and Ranran Fan and Yongxin Yuan},
title = {The solutions of two classes of dual matrix equations},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {10},
pages = {23016-23031},
keywords = {dual matrix equation, singular value decomposition, general solution, minimum-norm solution},
url = {https://www.sciopen.com/article/10.3934/math.20231171},
doi = {10.3934/math.20231171},
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.}
}