An analysis of the semilocal convergence for secant-like methods

DOI10.1016/j.amc.2015.05.149zbMath1410.65218OpenAlexW843370861MaRDI QIDQ669428

A. I. Velasco, Miguel Ángel Hernández-Verón, José Antonio Ezquerro

Publication date: 15 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.05.149

zbMATH Keywords

semilocal convergencenonlinear equationsecant-like methodsdomain of parametersintegral equation of Hammerstein

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (10)

On semilocal convergence of two step Kurchatov method ⋮ Secant-like methods for solving nonlinear models with applications to chemistry ⋮ On the convergence ball and error analysis of the modified secant method ⋮ Convergence of a two-step iterative method for nondifferentiable operators in Banach spaces ⋮ On a two-step optimal Steffensen-type method: relaxed local and semi-local convergence analysis and dynamical stability ⋮ On the Convergence of Secant-Like Methods ⋮ Unnamed Item ⋮ 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
• New approach for numerical solution of Hammerstein integral equations
• The secant method and fixed points of nonlinear operators
• Secant-like methods for solving nonlinear integral equations of the Hammerstein type
• On the secant method
• A UNIFIED CONVERGENCE ANALYSIS FOR SECANT-TYPE METHODS

This page was built for publication: An analysis of the semilocal convergence for secant-like methods