On solutions of the matrix equations \(X\)-\(AXB\)=\(C\) and \(A{\overline{X}}B\)=\(C\)
The authors study the solutions of the complex matrix equations \(X-AXB=C\) (for \(A=B^*\) this is the Stein equation) and \(X-A\bar{X}B=C\). They obtain an explicit solution of the former by the method of characteristic polynomials and of the latter by the method of real representations of a complex matrix.
method of real representations of a complex matrix
scientific article; zbMATH DE number 1917814