Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4672884 | Indagationes Mathematicae | 2012 | 11 Pages |
Abstract
A left canonical factorization theorem for rational matrix functions relative to the unit circle is presented. The result is a time invariant version of a recent strict LU factorization theorem for certain semi-separable operators, due to Dewilde (2012) [6]. Explicit formulas for the factors are also given. The theorem is proved, first by using the state space method of Dewilde (2012) [6], and next by using an operator theory approach. In both cases the main part of the proof concerns rational matrix functions that are unitary on the unit circle.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
A.E. Frazho, M.A. Kaashoek,