Abstract
It is shown that within the class ofn×n rational matrix functions which are analytic at infinity with valueW(∞)=I n, any rational matrix functionW is the productW=W 1...W p of rational matrix functionsW 1,...,W p of McMillan degree one. Furthermore, such a factorization can be established with a number of factors not exceeding 2σ(W)−1, where σ(W) denotes the McMillan degree ofW.
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