a method for finding real roots of polynomial Us([lambda])
Tina Novak (Author), Janez Žerovnik (Author)

Abstract

The topology of Arnold-Liouville level sets of the real forms of the complex generic Neumann system depends indirectly on the positions of the roots of the special polynomial Us ([lambda]). For certain polynomials, the existence and positions of the real roots, according to the suitable parameters of the system, is not obvious. In the paper, a method for checking the existence and positions of the real roots of the polynomials Us ([lambda]) is given. The method and algorithm are based on searching of a positive solution of a system of linear equations. In case [eta]=2 , we provide a complete solution to the problem of existence of real roots for all special polynomials and determine the topology of the Arnold-Liouville level sets.

Keywords

roots of a polynomial;complex Neumann system;Arnold-Liouville level sets;positive solution;system of linear equations;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FS - Faculty of Mechanical Engineering
UDC: 512.6(045)
COBISS: 45201667 Link will open in a new window
ISSN: 0377-0427
Views: 110
Downloads: 63
Average score: 0 (0 votes)
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Other data

Secondary language: Slovenian
Secondary keywords: ničle polinoma;kompleksen Neumannov sistem;Arnold-Liouvilleove nivojske množice;pozitivna rešitev;sistem linearnih enačb;
Type (COBISS): Article
Embargo end date (OpenAIRE): 2023-01-30
Pages: str. 1-13
Issue: ǂVol. ǂ390
Chronology: Jul. 2021
DOI: 10.1016/j.cam.2020.113362
ID: 14306005
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