Minimal Pencil Realizations of Rational Matrix Functions with Symmetries
Canadian mathematical bulletin, Tome 41 (1998) no. 2, pp. 178-186
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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.
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
@article{10_4153_CMB_1998_027_8,
author = {Krupnik, Ilya and Lancaster, Peter},
title = {Minimal {Pencil} {Realizations} of {Rational} {Matrix} {Functions} with {Symmetries}},
journal = {Canadian mathematical bulletin},
pages = {178--186},
year = {1998},
volume = {41},
number = {2},
doi = {10.4153/CMB-1998-027-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-027-8/}
}
TY - JOUR AU - Krupnik, Ilya AU - Lancaster, Peter TI - Minimal Pencil Realizations of Rational Matrix Functions with Symmetries JO - Canadian mathematical bulletin PY - 1998 SP - 178 EP - 186 VL - 41 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-027-8/ DO - 10.4153/CMB-1998-027-8 ID - 10_4153_CMB_1998_027_8 ER -
%0 Journal Article %A Krupnik, Ilya %A Lancaster, Peter %T Minimal Pencil Realizations of Rational Matrix Functions with Symmetries %J Canadian mathematical bulletin %D 1998 %P 178-186 %V 41 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-027-8/ %R 10.4153/CMB-1998-027-8 %F 10_4153_CMB_1998_027_8
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