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Minimal McMillan degree rational matrix functions with prescribed local zero-pole structure

By Joseph A. Ball and Marek Rakowski


AbstractGiven a rational m × n matrix function W(z) and a subset σ of the complex plane C, we give an explicit algorithm (using column operations) to produce a rational matrix function H(z) of minimal possible McMillan degree which has the same left zero-pole structure on σ as W(z), i.e. for which H = WQ where Q and Q−1 are rational n × n matrix functions with no poles in σ

Publisher: Published by Elsevier Inc.
Year: 1990
DOI identifier: 10.1016/0024-3795(90)90133-W
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