A variant of Steffensen's method of fourth-order convergence and its applications
type: Item
instance of: scholarly article
title: A variant of Steffensen's method of fourth-order convergence and its applications
zbMATH Open document ID: 1208.65064
author: Zhongli Liu
author: Quan Zheng
author: Peng Zhao
published in: Applied Mathematics and Computation
publication date: 2010-06-25T00:00:00Z
review text: A variant of Steffensen's method is presented, which uses divided differences instead of derivatives. Fourth-order convergence is proved. Numerical tests are given for nonlinear algebraic and ordinary differential equations.
reviewed by: János Karátson
Mathematics Subject Classification ID: 65H05
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L12
zbMATH DE Number: 5726765
zbMATH Keywords: nonlinear equations
zbMATH Keywords: Newton's method
zbMATH Keywords: Steffensen's method
zbMATH Keywords: derivative free
zbMATH Keywords: fourth-order convergence
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: j.amc.2010.03.028
OpenAlex ID: W2166523047
cites work: Q5652137
cites work: Q5732060
cites work: On a Steffensen's type method and its behavior for semismooth equations
cites work: A Steffensen's type method in Banach spaces with applications on boundary-value problems
cites work: Steffensen type methods for solving non-linear equations
cites work: A class of two-step Steffensen type methods with fourth-order convergence
cites work: A Steffensen-like method and its higher-order variants
DOI: 10.1016/J.AMC.2010.03.028
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description: scientific article; zbMATH DE number 5726765