Convergence of Traub's iteration under \(\omega\) continuity condition in Banach spaces
From MaRDI portal
Publication:2066451
DOI10.3103/S1066369X21090073zbMath1480.65133OpenAlexW3205630738MaRDI QIDQ2066451
Debasis Sharma, Sanjaya Kumar Parhi, Shanta Kumari Sunanda
Publication date: 14 January 2022
Published in: Russian Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3103/s1066369x21090073
basin of attractionlocal convergencesemi-local convergenceTraub's iterative method\( \omega\) continuity condition
Variational methods involving nonlinear operators (47J30) Numerical solutions to equations with nonlinear operators (65J15)
Related Items (2)
Generalized convergence conditions for the local and semilocal analyses of higher order Newton-type iterations ⋮ Gauss-Newton-Kurchatov method for the solution of non-linear least-square problems using \(\omega\)-condition
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On optimal fourth-order iterative methods free from second derivative and their dynamics
- Basin attractors for various methods
- Convergence of a third order method for fixed points in Banach spaces
- Enlarging the convergence domain in local convergence studies for iterative methods in Banach spaces
- On the local convergence of Weerakoon-Fernando method with \(\omega\) continuity condition in Banach spaces
- Variants of Newton's method for functions of several variables
- A composite fourth-order iterative method for solving nonlinear equations
- On the local convergence of a fifth-order iterative method in Banach spaces
- Some variant of Newton's method with third-order convergence.
- On the local convergence study for an efficient \(k\)-step iterative method
- Construction of fourth-order optimal families of iterative methods and their dynamics
- On the local convergence of a Newton-Kurchatov-type method for non-differentiable operators
- Local convergence of a Newton-Traub composition in Banach spaces
- Some new variants of Newton's method.
- A modified Newton method with cubic convergence: the multivariate case
- On the local convergence of Newton's method under generalized conditions of Kantorovich
- On the local convergence of fast two-step Newton-like methods for solving nonlinear equations
- On the stability of fixed points and coincidence points of mappings in the generalized Kantorovich's theorem
- On the local convergence of a third-order iterative scheme in Banach spaces
- Local convergence for multi-point-parametric Chebyshev-Halley-type methods of high convergence order
- On the complexity of extending the convergence region for Traub's method
- Local convergence of fourth and fifth order parametric family of iterative methods in Banach spaces
- Kantorovich's fixed point theorem in metric spaces and coincidence points
- Local convergence of a parameter based iteration with Hölder continuous derivative in Banach spaces
- Local convergence of a fifth convergence order method in Banach space
- A fourth-order method from quadrature formulae to solve systems of nonlinear equations
- Some iterative methods for solving a system of nonlinear equations
- Basins of attraction for optimal eighth order methods to find simple roots of nonlinear equations
- LOCAL CONVERGENCE FOR SOME THIRD-ORDER ITERATIVE METHODS UNDER WEAK CONDITIONS
- Computational Methods in Nonlinear Analysis
- Convergence and Applications of Newton-type Iterations
- Coincidence points of Mappings in Banach Spaces
- A variant of Newton's method with accelerated third-order convergence
- A study on the local convergence and the dynamics of Chebyshev-Halley-type methods free from second derivative
This page was built for publication: Convergence of Traub's iteration under \(\omega\) continuity condition in Banach spaces