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

Povzetek

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.

Ključne besede

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

Podatki

Jezik: Angleški jezik
Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UL FS - Fakulteta za strojništvo
UDK: 512.6(045)
COBISS: 45201667 Povezava se bo odprla v novem oknu
ISSN: 0377-0427
Št. ogledov: 110
Št. prenosov: 63
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Ostali podatki

Sekundarni jezik: Slovenski jezik
Sekundarne ključne besede: ničle polinoma;kompleksen Neumannov sistem;Arnold-Liouvilleove nivojske množice;pozitivna rešitev;sistem linearnih enačb;
Vrsta dela (COBISS): Članek v reviji
Konec prepovedi (OpenAIRE): 2023-01-30
Strani: str. 1-13
Zvezek: ǂVol. ǂ390
Čas izdaje: Jul. 2021
DOI: 10.1016/j.cam.2020.113362
ID: 14306005
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