On Steffensen's method on Banach spaces

DOI10.1016/j.cam.2013.02.004zbMath1302.65143OpenAlexW1990143602MaRDI QIDQ2448307

A. I. Velasco, Natalia Romero, José Antonio Ezquerro, Miguel A. Hernández

Publication date: 30 April 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2013.02.004

zbMATH Keywords

nonlinear equations in Banach spacessemilocal convergenceSteffensen's methodmajorant principleregion of accessibilitymodified Newton's method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (16)

On a Steffensen-like method for solving nonlinear equations ⋮ On a Moser-Steffensen type method for nonlinear systems of equations ⋮ How to Increase the Accessibility of Newton’s Method for Operators With Center-Lipschitz Continuous First Derivative ⋮ On the convergence of Newton-like methods using restricted domains ⋮ Improving the accessibility of Steffensen's method by decomposition of operators ⋮ Generalized multistep Steffensen iterative method. Solving the model of a photomultiplier device ⋮ Introducing memory to a family of multi-step multidimensional iterative methods with weight function ⋮ On an Inverse Free Steffensen-Type Method for the Approximation of Stiff Differential Equations ⋮ Increasing the applicability of Steffensen's method ⋮ A Steffensen type method of two steps in Banach spaces with applications ⋮ An hybrid method that improves the accessibility of Steffensen's method ⋮ Convergence of Steffensen's method for non-differentiable operators ⋮ How to Improve the Domain of Starting Points for Steffensen's Method ⋮ Developing high order methods for the solution of systems of nonlinear equations ⋮ An Efficient Derivative-Free Method for the Solution of Systems of Equations ⋮ On a novel seventh convergence order method for solving nonlinear equations and its extensions

Cites Work

• Solving nonlinear integral equations of Fredholm type with high order iterative methods
• Graphic and numerical comparison between iterative methods
• Secant-like methods for solving nonlinear integral equations of the Hammerstein type
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