Singular value and generalized singular value decompositions and the solution of linear matrix equations
All matrices are taken to be real, but not necessarily square. The author employs the singular value decomposition and a generalization of it to study the solvability of the equation \(AXB+CYD=E\), and of the pair of equations \(AXB=E\), \(FXG=H\). A couple of special cases are considered, and numerical algorithms for the solutions are suggested.
scientific article; zbMATH DE number 3989558
scientific article