Email this article Satellite Unknowns in Irreducible Differential Systems
- Authors: Panferov A.A.1,2
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Affiliations:
- Faculty of Computational Mathematics and Cybernetics
- Dorodnicyn Computing Centre, Federal Research Center Computer Science and Control
- Issue: Vol 44, No 2 (2018)
- Pages: 105-111
- Section: Article
- URL: https://journal-vniispk.ru/0361-7688/article/view/176592
- DOI: https://doi.org/10.1134/S0361768818020081
- ID: 176592
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Abstract
In this paper, the concept of satellite unknowns in differential systems with selected unknowns is considered in the context of irreducible systems. It is proved that any unselected unknown in an irreducible differential system is linearly satellite for any nonempty set of selected unknowns. An algorithm for factorization of differential systems is proposed that is not always applicable but executable in polynomial time. Cases where the algorithm cannot be applied are also recognized in polynomial time.
About the authors
A. A. Panferov
Faculty of Computational Mathematics and Cybernetics; Dorodnicyn Computing Centre, Federal Research Center Computer Science and Control
Author for correspondence.
Email: ast.a_s@mail.ru
Russian Federation, Moscow; ul. Vavilova 40, Moscow, 119333
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