An eighth-order family of optimal multiple root finders and its dynamics
type: Item
instance of: scholarly article
title: An eighth-order family of optimal multiple root finders and its dynamics
zbMATH Open document ID: 1402.65042
author: Ramandeep Behl
author: Alicia Cordero
author: Sandile S. Motsa
author: Juan Ramón Torregrosa Sánchez
published in: Numerical Algorithms
publication date: 2018-04-16T00:00:00Z
full work available at URL: http://hdl.handle.net/10251/121735
review text: The class of optimal eighth-order iterative methods for solving nonlinear equations with multiple roots with preliminary known multiplicity \(m\) is presented. Local convergence analysis is conducted. The proposed methods are efficient for determining multiple roots of nonlinear equations.
Mathematics Subject Classification ID: 65H05
zbMATH DE Number: 6860410
zbMATH Keywords: nonlinear equations
zbMATH Keywords: optimal iterative methods
zbMATH Keywords: multiple roots
zbMATH Keywords: efficiency index
zbMATH Keywords: Kung-Traub conjecture
reviewed by: Anton Iliev
MaRDI profile type: Publication
OpenAlex ID: W2628846632
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DOI: 10.1007/S11075-017-0361-6
description: scientific article; zbMATH DE number 6860410