A two-point eighth-order method based on the weight function for solving nonlinear equations

Autor:	Vali Torkashvand
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Method with memory Accelerator parameter Weight function Newton’s interpolatory polynomial Order of convergence nonlinear equations in R Mathematics QA1-939
Zdroj:	Journal of Numerical Analysis and Approximation Theory, Vol 50, Iss 1 (2021)
Druh dokumentu:	article
ISSN:	2457-6794 2501-059X
Popis:	In this work, we have designed a family of with-memory methods with eighth-order convergence. We have used the weight function technique. The proposed methods have three parameters. Three self-accelerating parameters are calculated in each iterative step employing only information from the current and all previous iteration. Numerical experiments are carried out to demonstrate the convergence and the e?ciency of our iterative method.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/ce1fe8947ce749e1851ea152d47df57f Zobrazit plný text záznamu View record in DOAJ