On generalized Halley-like methods for solving nonlinear equations

Autor:	S Miodrag Petkovic, Beny Neta, D Ljiljana Petkovic
Rok vydání:	2019
Předmět:	Nonlinear system Applied Mathematics Discrete Mathematics and Combinatorics Applied mathematics Analysis Mathematics
Zdroj:	Applicable Analysis and Discrete Mathematics. 13:399-422
ISSN:	2406-100X 1452-8630
DOI:	10.2298/aadm190111015p
Popis:	Generalized Halley-like one-parameter families of order three and four for finding multiple root of a nonlinear equation are constructed and studied. This presentation is, actually, a mixture of theoretical results, algorithmic aspects, numerical experiments, and computer graphics. Starting from the proposed class of third order methods and using an accelerating procedure, we construct a new fourth order family of Halley's type. To analyze convergence behavior of two presented families, we have used two methodologies: (i) testing by numerical examples and (ii) dynamic study using basins of attraction.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::cb97b7b4a6ddd2af57c42863ce034907 https://doi.org/10.2298/aadm190111015p Zobrazit plný text záznamu Plný text ve formátu PDF