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The solutions of two classes of dual matrix equations
oleh: Yinlan Chen, Min Zeng, Ranran Fan, Yongxin Yuan
Format: | Article |
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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.