On the complexity of extending the convergence region for Traub's method
From MaRDI portal
Publication:2283123
DOI10.1016/J.JCO.2019.101423zbMath1468.65060OpenAlexW2966534858MaRDI QIDQ2283123
Santhosh George, Ioannis K. Argyros
Publication date: 30 December 2019
Published in: Journal of Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jco.2019.101423
Related Items (15)
Extending the applicability and convergence domain of a higher-order iterative algorithm under \(\omega\) condition ⋮ Extended iterative schemes based on decomposition for nonlinear models ⋮ A study on the local convergence and complex dynamics of Kou's family of iterative methods ⋮ On the complexity of convergence for high order iterative methods ⋮ A ball comparison between extended modified Jarratt methods under the same set of conditions for solving equations and systems of equations ⋮ Extending the applicability of a Newton-Simpson-like method ⋮ Unified ball convergence of third and fourth convergence order algorithms under $omega-$continuity conditions ⋮ Extended local convergence and comparisons for two three-step Jarratt-type methods under the same conditions ⋮ Extended convergence ball for an efficient eighth order method using only the first derivative ⋮ Extending the convergence domain of deformed Halley method under \(\omega\) condition in Banach spaces ⋮ Extended convergence of a sixth order scheme for solving equations under \(\omega\)-continuity conditions ⋮ On the complexity of extending the convergence ball of Wang's method for finding a zero of a derivative ⋮ Convergence of Traub's iteration under \(\omega\) continuity condition in Banach spaces ⋮ On Newton's midpoint-type iterative Scheme's convergence ⋮ On the convergence of harmonic mean Newton method under \(\omega\) continuity condition in Banach spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On an efficient \(k\)-step iterative method for nonlinear equations
- Improved convergence analysis for Newton-like methods
- Third-degree anomalies of Traub's method
- Weaker conditions for the convergence of Newton's method
- Low-complexity root-finding iteration functions with no derivatives of any order of convergence
- Local convergence of a relaxed two-step Newton like method with applications
- Semilocal convergence of a k-step iterative process and its application for solving a special kind of conservative problems
- Real qualitative behavior of a fourth-order family of iterative methods by using the convergence plane
- Two-step Newton methods
- Computational theory of iterative methods.
- Computational Methods in Nonlinear Analysis
- Iterative Methods and Their Dynamics with Applications
- On two high‐order families of frozen Newton‐type methods
- Majorizing Sequences for Nonlinear Fredholm–Hammerstein Integral Equations
- How to Improve the Domain of Starting Points for Steffensen's Method
This page was built for publication: On the complexity of extending the convergence region for Traub's method
