Geodesic
Minimal Pencil Realizations of Rational Matrix Functions with Symmetries
Canadian mathematical bulletin, Tome 41 (1998) no. 2, pp. 178-186

Voir la notice de l'article provenant de la source Cambridge University Press

A theory of minimal realizations of rational matrix functions $W(\lambda )$ in the “pencil” form $W(\lambda )=C{{(\lambda {{A}_{1}}-{{A}_{2}})}^{-1}}B$ is developed. In particular, properties of the pencil $\text{ }\!\!\lambda\!\!\text{ }{{A}_{1}}\,-\,{{A}_{2}}$ are discussed when $W(\lambda )$ is hermitian on the real line, and when $W(\lambda )$ is hermitian on the unit circle.
DOI : 10.4153/CMB-1998-027-8
Mots-clés : 93Bxx, 15A23 
Krupnik, Ilya; Lancaster, Peter. Minimal Pencil Realizations of Rational Matrix Functions with Symmetries. Canadian mathematical bulletin, Tome 41 (1998) no. 2, pp. 178-186. doi: 10.4153/CMB-1998-027-8
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-027-8/}
}
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