On minimal factorizations of rational matrix functions
✍ Scribed by Nir Cohen
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 1983
- Tongue
- English
- Weight
- 852 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0378-620X
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📜 SIMILAR VOLUMES
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
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