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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2017

2017

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

- Ioannis K. Argyros, Miguel Ángel Hernández, M. J. Rubio
- Numerical Algorithms
- 2016

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

- Taher Lotfi, Ángel Alberto Magreñán, Katayoun Mahdiani, J. Javier Rainer
- Applied Mathematics and Computation
- 2015

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

- José Antonio Ezquerro, Miguel Ángel Hernández, Natalia Romero Álvarez, A. I. Velasco
- J. Computational Applied Mathematics
- 2013

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

- José Antonio Ezquerro, Miguel Ángel Hernández, M. J. Rubio, A. I. Velasco
- Numerical Algorithms
- 2013

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

- Alicia Cordero, José L. Hueso, Eulalia Martínez, Juan R. Torregrosa
- Mathematical and Computer Modelling
- 2013

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

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

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

- Sergio Amat, Sonia Busquier
- Applied Mathematics and Computation
- 2006

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

- Christoph Leibig, Armin Dekorsy, Jörg Fliege
- IEEE International Conference on Communications…
- 2005

We present an accelerated power control algorithm applicable for CDMA based communications systems employing advanced uplink… (More)

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