Geodesic
On reducing and deflating subspaces of matrices
The electronic journal of linear algebra, Tome 11 (2004), pp. 246-257.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 AL t, M and BL t, M.
Classification : 15A75, 47A15, 15A69, 15A22
Keywords: reducing subspace, deflating subspace, invariant subspace, compound matrix, Grassmann space, decomposable vector, matrix pencil 
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     title = {On reducing and deflating subspaces of matrices},
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Monov, V.; Tsatsomeros, M. On reducing and deflating subspaces of matrices. The electronic journal of linear algebra, Tome 11 (2004), pp. 246-257. http://geodesic.mathdoc.fr/item/ELA_2004__11__a2/