FAQ

Steffensen's method

Known as: Stephensen's method 
In numerical analysis, Steffensen's method is a root-finding technique similar to Newton's method, named after Johan Frederik Steffensen. Steffensen… (More)
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Topic mentions per year

Topic mentions per year

2003-2017
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Related topics

Related topics

8 relations
Aitken's delta-squared processFixed pointFixed-point iterationIterated function
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Related mentions per year

Related mentions per year

1936-2018
19401960198020002020
Steffensen's method
Numerical analysis
MATLAB
Fixed point
Newton's method
Fixed-point iteration

Papers overview

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2017
2017
On the development of Steffensen’s method and applications to Hammerstein equations
We construct an analog of Steffensen’s method for solving nonlinear operator equations. Proposed method is a kind of two stage… (More)
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2016
2016
Convergence of Steffensen’s method for non-differentiable operators
We present a semilocal as well as a local convergence analysis of Steffensen’s method in order to approximate a locally unique… (More)
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2015
2015
A variant of Steffensen-King's type family with accelerated sixth-order convergence and high efficiency index: Dynamic study and approach
Keywords: Multipoint iterative methods Steffensen's method King's family Derivative-free Efficiency index a b s t r a c t First… (More)
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2013
2013
On Steffensen's method on Banach spaces
We present a modification of Steffensen’s method as a predictor–corrector iterative method, so that we can use Steffensen’s… (More)
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2013
2013
An hybrid method that improves the accessibility of Steffensen’s method
Steffensen’s method is known for its fast speed of convergence and its difficulty in applying it in Banach spaces. From the… (More)
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2013
2013
Generating optimal derivative free iterative methods for nonlinear equations by using polynomial interpolation
In this work we show a general procedure to obtain optimal derivative free iterative methods [4] for nonlinear equations f(x) = 0… (More)
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2011
2011
On the Semilocal Convergence of Steffensen’s Method
We provide a semilocal convergence analysis of a general Steffensen’s method in a Banach space setting. In some interesting… (More)
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2008
2008
Newton–Steffensen–Type Method for Perturbed Nonsmooth Subanalytic Variational Inequalities
This paper is devoted to Newton–Steffensen–type method for approximating the unique solution of perturbed nonsmooth subanalytic… (More)
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2006
2006
On a Steffensen's type method and its behavior for semismooth equations
A generalization of Steffensen’s method is proposed. Our goal is to obtain similar convergence as Newton’s method, but without to… (More)
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2005
2005
Power control using Steffensen iterations for CDMA systems with beamforming or multiuser detection
We present an accelerated power control algorithm applicable for CDMA based communications systems employing advanced uplink… (More)
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