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Systems of coupled generalized Sylvester matrix equations |
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| Affiliation: | 1. Institute of Electric Power, North China University of Water Resources and Electric Power, Zhengzhou 450011, China;2. Institute of Data and Knowledge Engineering, Henan Key Laboratory of Big Data Analysis and Processing, Henan University, Kaifeng 475004, China;1. School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350117, China;2. Department of Mathematics and Physics, Fujian Jiangxia University, Fuzhou 350108, China |
| Abstract: | This paper studies some systems of coupled generalized Sylvester matrix equations. We present some necessary and sufficient conditions for the solvability to these systems. We give the expressions of the general solutions to the systems when their solvability conditions are satisfied. |
| Keywords: | System of matrix equations Generalized Sylvester matrix equation Generalized inverses General solution Rank |
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