Email this article Functions inverse to weakly hyperbolic and hyperbolic pencils
- Authors: Barsukov A.I.1, Konyukhova O.G.1
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Affiliations:
- Voronezh State Academy of Building and Architecture
- Issue: Vol 101, No 1-2 (2017)
- Pages: 48-57
- Section: Volume 101, Number 1, January, 2017
- URL: https://journals.rcsi.science/0001-4346/article/view/149934
- DOI: https://doi.org/10.1134/S0001434617010059
- ID: 149934
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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.
About the authors
A. I. Barsukov
Voronezh State Academy of Building and Architecture
Author for correspondence.
Email: a.barsoukov@mail.ru
Russian Federation, Voronezh
O. G. Konyukhova
Voronezh State Academy of Building and Architecture
Email: a.barsoukov@mail.ru
Russian Federation, Voronezh
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