Two novel classes of two-step optimal methods for all the zeros in an interval
type: Item
instance of: scholarly article
title: Two novel classes of two-step optimal methods for all the zeros in an interval
zbMATH Open document ID: 1322.65061
author: Fazlollah Soleymani
published in: Afrika Matematika
publication date: 2014-11-05T00:00:00Z
review text: The author deals with the problem of solving nonlinear equations with finitely many roots in an interval. In particular, two general classes of two-step derivative-involved methods for solving it are studied. More precisely, it is shown that each member of the developed classes includes two evaluations of the function and one evaluation of the first derivative to achieve fourth order of convergence. In addition, an algorithm is provided using Mathematica to capture all the zeros of a nonlinear equation in a given interval.
Mathematics Subject Classification ID: 65H05
zbMATH DE Number: 6366060
zbMATH Keywords: optimal order
zbMATH Keywords: many roots
zbMATH Keywords: convergence
zbMATH Keywords: King's family
zbMATH Keywords: Ostrowski's method
zbMATH Keywords: basins of attraction
zbMATH Keywords: nonlinear equations
zbMATH Keywords: algorithm
reviewed by: Sonia Pérez Díaz
describes a project that uses: Mathematica
MaRDI profile type: Publication
full work available at URL: s13370-012-0112-8
OpenAlex ID: W2093478197
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DOI: 10.1007/S13370-012-0112-8
description: scientific article; zbMATH DE number 6366060