ELA, Volume 11, pp. 246-257, November 2004, abstract.

On Reducing and Deflating Subspaces

Vladimir Monov and Michael Tsatsomeros
        
A multilinear approach based on Grassmann representatives 
and matrix compounds is presented for the identification 
of reducing pairs of subspaces that are common to two or 
more matrices. Similar methods are employed to characterize 
the deflating pairs of subspaces for a regular matrix 
pencil A+sB, namely, pairs of subspaces (L,M) such that 
A L \subseteq M  and  B L \subseteq M.