A note on inner-outer factorization of wide matrix-valued functions
In this paper we expand some of the results of [8, 9, 10]. In fact, using the techniques of [8, 9, 10], we provide formulas for the full rank inner-outer factorization of a wide matrix-valued rational function G with H∞ entries, that is, functions G with more columns than rows. State space formulas are derived for the inner and outer factor of G.
KeywordsInner-outer factorization matrix-valued function Toeplitz operators state space representation
Mathematics Subject Classification (2010)Primary 47B35 47A68 Secondary 30J99
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