Convergence of Steffensen's method for non-differentiable operators
DOI10.1007/S11075-016-0203-YzbMath1366.65056OpenAlexW2519073828MaRDI QIDQ526720
M. J. Rubio, Ioannis K. Argyros, Miguel Ángel Hernández-Verón
Publication date: 15 May 2017
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-016-0203-y
numerical examplenonlinear integral equationssemilocal convergenceBanach spacelocal convergenceHammerstein typeSteffensen methodnon-differentiable operator equation
Iterative procedures involving nonlinear operators (47J25) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Numerical solutions to equations with nonlinear operators (65J15)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Local convergence of efficient secant-type methods for solving nonlinear equations
- On the ball of convergence of secant-like methods for non-differentiable operators
- On an improved local convergence analysis for the Secant method
- New approach for numerical solution of Hammerstein integral equations
- Homocentric convergence ball of the secant method
- 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
- On Steffensen's method on Banach spaces
- A Steffensen's type method in Banach spaces with applications on boundary-value problems
- The convergence ball of the secant method under Hölder continuous divided differences
- Optimal Order of One-Point and Multipoint Iteration
This page was built for publication: Convergence of Steffensen's method for non-differentiable operators