ELA, Volume 11, pp. 78-87, April 2004, abstract.

A New Family of Companion Forms of 
Polynomial Matrices

E.N. Antoniou and S. Vologiannidis

In this paper a new family of companion forms
associated to a regular polynomial matrix is 
presented. Similar results have been presented 
in a recent paper by M. Fiedler, where the scalar 
case is considered. It is shown that the new 
family of companion forms preserves both the
finite and infinite elementary divisors structure 
of the original polynomial matrix, thus all its 
members can be seen as linearizations of the 
corresponding polynomial matrix. Furthermore, 
for the special class of self-adjoint polynomial
matrices a particular member is shown to be 
self-adjoint itself.