  In this paper, we propose a method to factorise of arbitrary strictly
nonsingular 2x2 matrix functions allowing for stable factorisation. For this
purpose, we utilise the ExactMPF package working within the Maple environment
previously developed by the authors and performing an exact factorisation of a
nonsingular polynomial matrix function. A crucial point in the present analysis
is the evaluation of a stability region of the canonical factorisation of the
polynomial matrix functions. This, in turn, allows us to propose a sufficient
condition for the given matrix function admitting stable factorisation.
