The common solution of some matrix equations (Q2796964)

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scientific article; zbMATH DE number 6561279
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The common solution of some matrix equations
scientific article; zbMATH DE number 6561279

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    30 March 2016
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    system of matrix equations
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    minimal rank
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    maximal rank
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    generalized inverse
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    The common solution of some matrix equations (English)
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    In the first part of this research article, the authors present a solution of the system of linear matrix equations \(BX+YC=A\) using results by Uhlig, Woerdeman, Z. H. He, Q. W. Wang, and S. K. Mitra and give suitable lemma and theorems. In the second part, they give a solvability condition for the existence of a solution to this system and give an expression of the general solution to the system.
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