Determinantal representations of the solutions to systems of generalized Sylvester equations (Q2301526)

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Determinantal representations of the solutions to systems of generalized Sylvester equations
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    Determinantal representations of the solutions to systems of generalized Sylvester equations (English)
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    24 February 2020
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    The authors present new necessary and sufficient conditions for the solvability of a specific type of systems of coupled generalized Sylvester quaternion equations. They derive the determinantal representations of the general solutions to the above systems by the row and column determinants of quaternion matrices.
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    matrix equation
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    quaternion matrix
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    Cramer rule
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    quaternion determinant
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