The reflexive and anti-reflexive solutions of a linear matrix equation and systems of matrix equations (Q983496)

By using appropriate matrix decompositions, necessary and sufficient solvability conditions and explicit reflexive and anti-reflexive solutions for the following matrix equation: {\parindent9mm \begin{itemize}\item[(I)] \(A_1 XB_1 = D_1\), and systems of matrix equations: \item[(II)] \(A_1 X = C_1, XB_2 = C_2\), and \item[(III)] \(A_1 X = C_1, XB_2 = C_2, A_3 X = C_3, XB_4 = C_4\) are derived and formulated, respectively. \end{itemize}}