A Steffensen type method of two steps in Banach spaces with applications

DOI10.1016/j.cam.2015.03.038zbMath1325.65077OpenAlexW1251525440MaRDI QIDQ491047

Sergio Amat, Miguel Ángel Hernández-Verón, Sonia Busquier, José Antonio Ezquerro

Publication date: 24 August 2015

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.2015.03.038

zbMATH Keywords

nonlinear equations in Banach spacessemilocal convergencerecurrence relationsSteffensen's methoddomain of parametersregion of accessibility

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15)

Related Items (7)

On semilocal convergence of two step Kurchatov method ⋮ On a two-step optimal Steffensen-type method: relaxed local and semi-local convergence analysis and dynamical stability ⋮ Editorial: Mathematical modeling and computational methods ⋮ On a robust Aitken-Newton method based on the Hermite polynomial ⋮ On semilocal convergence of three-step Kurchatov method under weak condition ⋮ Three step Kurchatov method for nondifferentiable operators ⋮ Local and semilocal convergence for Kurchatov method under \(\omega\)-continuity conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A variant of Steffensen-King's type family with accelerated sixth-order convergence and high efficiency index: dynamic study and approach
• Steffensen type methods for solving nonlinear equations
• A class of Steffensen type methods with optimal order of convergence
• A family of fourth-order Steffensen-type methods with the applications on solving nonlinear ODEs
• An optimal Steffensen-type family for solving nonlinear equations
• Derivative free two-point methods with and without memory for solving nonlinear equations
• A cubically convergent Steffensen-like method for solving nonlinear equations
• A two-step Steffensen's method under modified convergence conditions
• Some derivative free quadratic and cubic convergence iterative formulas for solving nonlinear equations
• A variant of Steffensen's method of fourth-order convergence and its applications
• Variants of Steffensen-Secant method and applications
• Steffensen type methods for solving non-linear equations
• A class of two-step Steffensen type methods with fourth-order convergence
• A new sixth-order Steffensen-type iterative method for solving nonlinear equations
• Basins of attraction for various Steffensen-type methods
• The secant method for nondifferentiable operators
• A family of Steffensen type methods with seventh-order convergence
• On a Newton-Steffensen type method
• Secant-like methods for solving nonlinear integral equations of the Hammerstein type
• Chaos in King's iterative family
• A Steffensen-like method and its higher-order variants
• Optimal Steffensen-type methods with eighth order of convergence
• Complex dynamics of derivative-free methods for nonlinear equations
• On Steffensen's method on Banach spaces
• Dynamics of a family of Chebyshev-Halley type methods
• On a Steffensen's type method and its behavior for semismooth equations
• A composite third order Newton-Steffensen method for solving nonlinear equations
• Optimal Order of One-Point and Multipoint Iteration
• On Steffensen–s Method

This page was built for publication: A Steffensen type method of two steps in Banach spaces with applications