ELA, Volume 15, pp. 107-114, February 2006, abstract.

Linearizations of Polynomial Matrices with Symmetries 
and their Applications

Efstathios N. Antoniou and Stavros Vologiannidis

In an earlier paper by the present authors, a new family of 
companion forms associated with a regular polynomial matrix 
was presented, generalizing similar results by M. Fiedler who 
considered the scalar case. This family of companion forms
preserves both the finite and infinite elementary divisor
structure of the original polynomial matrix, thus all its
members can be seen as linearizations of the corresponding
polynomial matrix. In this note, its applications on 
polynomial matrices with symmetries, which appear in a 
number of engineering fields, are examined.