The Re-nnd and Re-pd solutions to the matrix equationsAX = C,XB = D

Yongxin Yuan, Huiting Zhang, Lina Liu · Linear and Multilinear Algebra · 2020

Necessary and sufficient conditions are obtained for a pair of matrix equations AX = C and XB = D to have common Re-nnd and Re-pd solutions and the explicit representations of the general common Re-nnd and Re-pd solutions are given when the stated conditions hold.

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