  Linearization is a standard approach in the computation of eigenvalues,
eigenvectors and invariant subspaces of matrix polynomials and rational matrix
value functions. An important source of linearizations are the so called
Fiedler linearizations, which are generalizations of the classical companion
forms. In this paper the concept of Fiedler linearization is extended from
square regular to rectangular rational matrix valued functions. The approach is
applied to Rosenbrock functions arising in mathematical system theory.

Category Theory