A one-parameter family of second-order iteration methods
type: Item
instance of: scholarly article
title: A one-parameter family of second-order iteration methods
zbMATH Open document ID: 1119.65044
published in: Applied Mathematics and Computation
publication date: 2007-06-06T00:00:00Z
review text: A new one-parameter family of iteration methods for finding simple roots of nonlinear equations is developed. Analysis of convergence shows that the new methods have order of convergence two. Numerical experiments show that the method is comparable to the well-known Newton method.
Mathematics Subject Classification ID: 65H05
zbMATH DE Number: 5161995
zbMATH Keywords: nonlinear equations
zbMATH Keywords: Newton method
zbMATH Keywords: root finding
zbMATH Keywords: convergence
zbMATH Keywords: numerical examples
author: Janak Raj Sharma
reviewed by: Rózsa Horváth-Bokor
MaRDI profile type: Publication
full work available at URL: j.amc.2006.07.140
OpenAlex ID: W2086295374
cites work: Q3702408
cites work: Q5666071
cites work: Q4060241
cites work: Q5732060
cites work: On a class of quadratic convergence iteration formulae without derivatives
cites work: A new continuation Newton-like method and its deformation
cites work: New high-order convergence iteration methods without employing derivatives for solving nonlinear equations
cites work: On a class of quadratically convergent iteration formulae
DOI: 10.1016/J.AMC.2006.07.140
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description: scientific article; zbMATH DE number 5161995