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.