Geodesic
Linearizations of singular matrix polynomials and the recovery of minimal indices
The electronic journal of linear algebra, Tome 18 (2009), pp. 371-402.

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

Summary: A standard way of dealing with a regular matrix polynomial P $(\lambda )$ is to convert it into an equivalent matrix pencil - a process known as linearization. Two vector spaces of pencils L1 ( P ) and L2 ( P ) that generalize the first and second companion forms have recently been introduced by Mackey, Mackey, Mehl and Mehrmann. Almost all of these pencils are linearizations for P $(\lambda )$ when P is regular. The goal of this work is to show that most of the pencils in L
Classification : 15A18, 15A21, 15A22, 65F15
Keywords: singular matrix polynomials, matrix pencils, minimal indices, minimal bases, linearization 
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     author = {De Ter\'an, Fernando and Dopico, Froil\'an M. and Mackey, D.Steven},
     title = {Linearizations of singular matrix polynomials and the recovery of minimal indices},
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     year = {2009},
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     url = {http://geodesic.mathdoc.fr/item/ELA_2009__18__a26/}
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De Terán, Fernando; Dopico, Froilán M.; Mackey, D.Steven. Linearizations of singular matrix polynomials and the recovery of minimal indices. The electronic journal of linear algebra, Tome 18 (2009), pp. 371-402. http://geodesic.mathdoc.fr/item/ELA_2009__18__a26/