The iteration solution of matrix equation \(A X B = C\) subject to a linear matrix inequality constraint (Q1724776)

Summary: We propose a feasible and effective iteration method to find solutions to the matrix equation \(A X B = C\) subject to a matrix inequality constraint \(D X E \geq F\), where \(D X E \geq F\) means that the matrix \(D X E - F\) is nonnegative. And the global convergence results are obtained. Some numerical results are reported to illustrate the applicability of the method.