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Extensions of matrix valued functions with rational polynomial inverses

✍ Scribed by Harry Dym; Israel Gohberg


Publisher
SP Birkhäuser Verlag Basel
Year
1979
Tongue
English
Weight
783 KB
Volume
2
Category
Article
ISSN
0378-620X

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Spectral properties of rational matrix f
✍ K.-H. Förster; B. Nagy 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 742 KB

If (A, B, C) is an (entrywise) nonnegative realization of a rational matrix function W (i.e. W(I) = C(1 -A))'B for 1.6 o(A)) vanishing at infinity, then Y(W) := inf{r 2 0: W has no poles i, with r < [Ai} is a pole of Wand r(A) := spectral radius of A is an eigenvalue of A. We prove that, if the real