Local minimal factorizations of rational matrix functions in terms of null and pole data: Formulas for factors

It is known that local minimal factorizations of a rational matrix function can be described in terms of local null and pole data (expressed in the form of left null-pole triples and their corestrictions) of this function. In this paper we give formulas for the factors in a local minimal factorization that corresponds to a given corestriction of the left null-pole triple.The first version of this paper was written while the second author visited the College of William and Mary.Partially supported by the NSF grant DMS-8802836 and by the Binational United States-Israel Foundation grant.