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Stopping Criteria for Rational Matrix Functions of Hermitian and Symmetric Matrices

✍ Scribed by Frommer, Andreas; Simoncini, Valeria


Book ID
118190161
Publisher
Society for Industrial and Applied Mathematics
Year
2008
Tongue
English
Weight
320 KB
Volume
30
Category
Article
ISSN
1064-8275

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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