Using the GSVD and the lifting technique to find {P; k+ 1} reflexive and anti-reflexive solutions of AXB = C

Thome Coppo Néstor Javier, Herrero Debón Alicia

2011

Applied Mathematics Letters

The generalized singular value decomposition (GSVD) and the lifting technique combined with the Kronecker product are exploited to find reflexive and anti-reflexive (with respect to a generalized k+1-reflection matrix P) solutions of the matrix equation AXB=C. The computational cost of the presented algorithm is studied and several numerical examples are presented. © 2011 Elsevier Ltd. All rights reserved.