On the ball of convergence of secant-like methods for non-differentiable operators

DOI10.1016/j.amc.2015.10.007zbMath1410.65220OpenAlexW2209204538MaRDI QIDQ668512

M. J. Rubio, Miguel Ángel Hernández-Verón

Publication date: 19 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.2015.10.007

zbMATH Keywords

iterative methodnonlinear equationlocal convergencedivided differencenon-differentiable operatorthe secant method

Mathematics Subject Classification ID

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

Related Items (9)

Convergence of a two-step iterative method for nondifferentiable operators in Banach spaces ⋮ On the convergence of Newton-like methods using restricted domains ⋮ A significant improvement of a family of secant-type methods ⋮ Dynamics and local convergence of a family of derivative-free iterative processes ⋮ On the Convergence of Secant-Like Methods ⋮ Convergence of Steffensen's method for non-differentiable operators ⋮ Unnamed Item ⋮ Convergence analysis for single point Newton-type iterative schemes ⋮ Two-point methods for solving equations and systems of equations

Cites Work

• Unnamed Item
• Unnamed Item
• Local convergence of efficient secant-type methods for solving nonlinear equations
• On an improved local convergence analysis for the Secant method
• Homocentric convergence ball of the secant method
• The secant method and fixed points of nonlinear operators
• A uniparametric family of iterative processes for solving nondifferentiable equations
• Secant-like methods for solving nonlinear integral equations of the Hammerstein type
• Convergence analysis of the secant type methods
• The convergence ball of the secant method under Hölder continuous divided differences
• Solving a special case of conservative problems by secant-like methods

This page was built for publication: On the ball of convergence of secant-like methods for non-differentiable operators