The Solutions to Some Dual Matrix Equations

2023 · doi:10.21203/rs.3.rs-3119502/v1
preprint OA: closed CC-BY-4.0
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Abstract

The solvability conditions for the dual matrix equation AXB = D , a pair of dual matrix equations AX = B , XC = D and the dual matrix equation AX +YB = D are established by using the generalized inverses and the singular value decompositions of some real matrices, and the expressions of the general solutions to these dual matrix equations are presented. Finally, a numerical experiment is given to validate the accuracy of our result. 2010 Mathematics Subject Classification: 15A24; 15B99

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License: CC-BY-4.0