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On symmetric factorizations of rational matrix functions

✍ Scribed by Ran, André C. M.; Rodman, Leiba


Book ID
121376175
Publisher
Taylor and Francis Group
Year
1991
Tongue
English
Weight
812 KB
Volume
29
Category
Article
ISSN
0308-1087

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Bezoutians of rational matrix functions,
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The notion of Bezoutian for a quadruple of rational matrix functions introduced by the authors in previous works is shown to be an adequate connecting link between certain factorization problems for rational matrix functions and quadratic and linear matrix equations. Particular attention is given to

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In this paper we show that any rational matrix function having hermitian values on the imaginary axis, and with constant signature and constant pole signature admits a minimal symmetric factorization with possibly nonsquare factors. Our proof is based on a construction which shows that any such func