Ball convergence of Potra-Ptak-type method with optimal fourth order of convergence

Ball convergence of Potra-Ptak-type method with optimal fourth order of convergence

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We present a local convergence analysis Potra-Ptak-type method with optimal fourth order of convergence in order to approximate a solution of a nonlinear equation. In earlier studies such as [1], [5]-[28] hypotheses up to the fourth derivative are used. In this paper we use hypotheses up to the...

Полное описание

Библиографические подробности
Главные авторы:	Ioannis K. Argyros, Santhosh George
Формат:	Статья
Язык:	English
Опубликовано:	Publishing House of the Romanian Academy 2021-11-01
Серии:	Journal of Numerical Analysis and Approximation Theory
Предметы:	Potra-Ptak-type method Newton's method order of convergence local convergence
Online-ссылка:	https://www.ictp.acad.ro/jnaat/journal/article/view/1247

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