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Minimal indices cancellation and rank revealing factorizations for rational matrix functions

✍ Scribed by Cristian Oară; Şerban Sabău


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
375 KB
Volume
431
Category
Article
ISSN
0024-3795

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Existence of minimal nonsquare J-symmetr
✍ L Lerer; M.A Petersen; A.C.M Ran 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 244 KB

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