The solutions of two classes of dual matrix equations

oleh: Yinlan Chen, Min Zeng, Ranran Fan, Yongxin Yuan

Format: Article
Diterbitkan: AIMS Press 2023-07-01

Deskripsi

The solvability conditions for the dual matrix equation $ AXB = D $ and a pair of dual matrix equations $ AX = C $ and $ XB = 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.