Ball convergence for Traub-Steffensen like methods in Banach space
DOI10.1515/awutm-2015-0011OpenAlexW2527145397MaRDI QIDQ2679384
Ioannis K. Argyros, Santhosh George
Publication date: 20 January 2023
Published in: Analele Universității de Vest din Timișoara. Seria Matematică-Informatică (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/awutm-2015-0011
Banach spaceFréchet derivativelocal convergenceTraub-Steffensen methodSteffensen methodthird order of convergence
Iterative procedures involving nonlinear operators (47J25) Integro-ordinary differential equations (45J05) Numerical approximation and computational geometry (primarily algorithms) (65D99) Error analysis and interval analysis (65G99)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Different anomalies in a Jarratt family of iterative root-finding methods
- Fourth- and fifth-order methods for solving nonlinear systems of equations: an application to the global positioning system
- Improved local analysis for a certain class of iterative methods with cubic convergence
- Semilocal convergence of a sixth order iterative method for quadratic equations
- Weaker conditions for the convergence of Newton's method
- Recurrence relations for rational cubic methods. II: The Chebyshev method
- A modification of Newton method with third-order convergence
- On the semilocal convergence of Newton-Kantorovich method under center-Lipschitz conditions
- Convergence ball and error analysis of a family of iterative methods with cubic convergence
- An efficient fourth order weighted-Newton method for systems of nonlinear equations
- Computational theory of iterative methods.
- A multi-step class of iterative methods for nonlinear systems
- Increasing the order of convergence of iterative schemes for solving nonlinear systems
- Computational Methods in Nonlinear Analysis
- A semilocal convergence analysis for directional Newton methods
- Modification of the Kantorovich assumptions for semilocal convergence of the Chebyshev method
- A variant of Newton's method with accelerated third-order convergence
This page was built for publication: Ball convergence for Traub-Steffensen like methods in Banach space
