Efficient iterative methods for finding simultaneously all the multiple roots of polynomial equation

Autor:	Mudassir Shams, Naila Rafiq, Nasreen Kausar, Praveen Agarwal, Choonkil Park, Shaher Momani
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Multiple roots Polynomial equation Iterative methods Simultaneous methods Computational efficiency and CPU-time Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-11 (2021)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-021-03649-6
Popis:	Abstract Two new iterative methods for the simultaneous determination of all multiple as well as distinct roots of nonlinear polynomial equation are established, using two suitable corrections to achieve a very high computational efficiency as compared to the existing methods in the literature. Convergence analysis shows that the orders of convergence of the newly constructed simultaneous methods are 10 and 12. At the end, numerical test examples are given to check the efficiency and numerical performance of these simultaneous methods.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/badecfb54e5a46e6ae51d8d2e01f11eb Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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