A Stirling-like method with Hölder continuous first derivative in Banach spaces
From MaRDI portal
Publication:555343
DOI10.1016/j.amc.2011.04.032zbMath1226.65051OpenAlexW1982747109MaRDI QIDQ555343
Sanjaya Kumar Parhi, Dharmendra Kumar Gupta
Publication date: 22 July 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.04.032
convergencefixed pointnumerical examplesiterative methodHölder continuityBanach spaceFréchet derivativea priori error boundsnonlinear operator equationsStirling-like method
Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Newton-like methods for the computation of fixed points
- Convergence of the variants of the Chebyshev-Halley iteration family under the Hölder condition of the first derivative
- Recurrence relations for the super-Halley method
- Convergence of Stirling's method in Banach spaces
- Reduced recurrence relations for the Chebyshev method
- Avoiding the computation of the second Fréchet-derivative in the convex acceleration of Newton's method
- Second-derivative-free variant of the Chebyshev method for nonlinear equations
- On the \(R\)-order of the Halley method
- Convergence of the family of the deformed Euler--Halley iterations under the Hölder condition of the second derivative
- Newton's Method in Banach Spaces
- On a new multiparametric family of Newton-like methods
- A new iterative method of asymptotic order 1+√2 for the computation of fixed points
- Modification of the Kantorovich assumptions for semilocal convergence of the Chebyshev method