Development of a Family of Jarratt-Like Sixth-Order Iterative Methods for Solving Nonlinear Systems with Their Basins of Attraction

Autor:	Min-Young Lee, Young Ik Kim
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	basins of attraction dynamics sixth-order error equation nonlinear systems Industrial engineering. Management engineering T55.4-60.8 Electronic computers. Computer science QA75.5-76.95
Zdroj:	Algorithms, Vol 13, Iss 11, p 303 (2020)
Druh dokumentu:	article
ISSN:	1999-4893
DOI:	10.3390/a13110303
Popis:	We develop a family of three-step sixth order methods with generic weight functions employed in the second and third sub-steps for solving nonlinear systems. Theoretical and computational studies are of major concern for the convergence behavior with applications to special cases of rational weight functions. A number of numerical examples are illustrated to confirm the convergence behavior of local as well as global character of the proposed and existing methods viewed through the basins of attraction.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/a5e811faaa3746469e013ed28cc5bd7f Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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