He, Jinhua \( (P,Q)\) generalized reflexive solution and inverse reflexive solution of matrix equation \({A^H}XB = C\). (Chinese. English summary) Zbl 1438.15036 J. Beihua Univ., Nat. Sci. 20, No. 2, 147-156 (2019). Summary: The necessary and sufficient conditions for the existence and the expressions for \( (P,Q)\) generalized reflexive and anti-reflexive solutions of the matrix equation \({A^H}XB = C\) are given. Moreover, the relative optimal approximation problem is considered. The explicit expressions of the optimal approximation solution and the minimum norm solution are both provided. MSC: 15A24 Matrix equations and identities 65F45 Numerical methods for matrix equations Keywords:matrix equation; generalized reflexive solution; generalized anti-reflexive solution; optimal approximation solution; minimum norm solution PDFBibTeX XMLCite \textit{J. He}, J. Beihua Univ., Nat. Sci. 20, No. 2, 147--156 (2019; Zbl 1438.15036)