an:03989558
Zbl 0612.15003
Chu, King-wah Eric
Singular value and generalized singular value decompositions and the solution of linear matrix equations
EN
Linear Algebra Appl. 88-89, 83-98 (1987).
00234330
1987
j
15A18 15A24 15A09
linear matrix equations; generalized inverses; singular value decomposition; solvability
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.
G.P.Barker