Unified convergence domains of Newton-like methods for solving operator equations
From MaRDI portal
Publication:1733518
DOI10.1016/j.amc.2016.04.010zbMath1410.65211OpenAlexW2336349672MaRDI QIDQ1733518
Santhosh George, Ioannis K. Argyros
Publication date: 21 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.2016.04.010
semilocal convergenceBanach spaceLipschitz constantNewton-like methodstwice Fréchet differentiable operator
Related Items (2)
Semilocal Convergence Theorem for a Newton-like Method ⋮ The convergence ball and error analysis of the relaxed secant method
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On an improved convergence analysis of Newton's method
- Weaker conditions for the convergence of Newton's method
- Extending the applicability of Newton's method for \(k\)-Fréchet differentiable operators in Banach spaces
- How to improve the domain of parameters for Newton's method
- A new semilocal convergence theorem for Newton's method
- A note on Halley's method
- On the semilocal convergence of Newton-Kantorovich method under center-Lipschitz conditions
- On the method of tangent hyperbolas in Banach spaces
- Über ein Verfahren der Ordnung \(1+\sqrt 2\) zur Nullstellenbestimmung
- Geometric constructions of iterative functions to solve nonlinear equations
- A unified convergence theory for Newton-type methods for zeros of nonlinear operators in Banach spaces
- On the Newton-Kantorovich hypothesis for solving equations
- On the local convergence of fast two-step Newton-like methods for solving nonlinear equations
- Tangent methods for nonlinear equations
- Third-order iterative methods under Kantorovich conditions
- A semilocal convergence analysis for directional Newton methods
- Adaptive Approximation of Nonlinear Operators
This page was built for publication: Unified convergence domains of Newton-like methods for solving operator equations