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Functions Inverse to Weakly Hyperbolic and Hyperbolic Pencils
A. I. Barsukova, O. G. Konyukhvab a Voronezh State Academy of Building and Architecture
b Voronezh
Abstract:
Necessary and sufficient conditions under which a matrix-valued function of a complex argument is inverse to a weakly hyperbolic or a hyperbolic pencil are established. For hyperbolic pencils, a constructive description of the inverse functions in terms of their partial fraction expansion with matrix coefficients is presented.
Keywords:
rational matrix functions, weakly hyperbolic matrix pencils, hyperbolic matrix pencils, root zones of a pencil, Nevanlinna functions.
Received: 08.04.2016 Revised: 25.05.2016
Citation:
A. I. Barsukov, O. G. Konyukhva, “Functions Inverse to Weakly Hyperbolic and Hyperbolic Pencils”, Mat. Zametki, 101:1 (2017), 31–42; Math. Notes, 101:1 (2017), 48–57
Linking options:
https://www.mathnet.ru/eng/mzm11433https://doi.org/10.4213/mzm11433 https://www.mathnet.ru/eng/mzm/v101/i1/p31
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Abstract page: | 308 | Full-text PDF : | 35 | References: | 55 | First page: | 19 |
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