矩阵方程的最小二乘{P,Q,k+1}-自反解（英文）

Let P∈C^m×m and Q∈C^n×n be Hermitian and {k+1}-potent matrices,i.e.,P^k+1=P=P^*,Q^k+1=Q=Q^*,where(·)^* stands for the conjugate transpose of a matrix.A matrix X∈C^m×n is called {P,Q,k+1}-reflexive(anti-reflexive) if PXQ=X(PXQ=-X).In this paper,the least squares solution of the matrix equation AXB=C subject to {P,Q,k+1}-reflexive and anti-reflexive constraints are studied by converting into two simpler cases:k=1 and k...