ELA, Volume1, pp. 44-58, November 1996, abstract.

Periodic Coprime Matrix Fraction Decompositions

Rafael Bru, Carmen Coll, and Josep Gelonch

A study is presented of right (left) coprime decompositions of a 
collection of N-periodic rational matrices, with some ordered structure. 
From a block-ordered right coprime decomposition of a rational matrix of 
the given periodic collection, the corresponding block-ordered right 
coprime decompositions of the remaining matrices of the collection are 
constructed. In addition, those decompositions are N-periodic.