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

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...

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Hlavní autoři: Ioannis K. Argyros, Santhosh George
Médium: Článek
Jazyk:English
Vydáno: Publishing House of the Romanian Academy 2021-11-01
Edice:Journal of Numerical Analysis and Approximation Theory
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On-line přístup:https://www.ictp.acad.ro/jnaat/journal/article/view/1247