Extending the applicability of the local and semilocal convergence of Newton's method
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Publication:1732848
DOI10.1016/j.amc.2016.07.012zbMath1410.65212OpenAlexW2503751435MaRDI QIDQ1732848
Ioannis K. Argyros, Ángel Alberto Magreñán
Publication date: 25 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.2016.07.012
Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)
Related Items (1)
Cites Work
- 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
- An optimization algorithm for solving the rich vehicle routing problem based on variable neighborhood search and tabu search metaheuristics
- How to improve the domain of parameters for Newton's method
- On the semilocal convergence of Newton-Kantorovich method under center-Lipschitz conditions
- Geometric constructions of iterative functions to solve nonlinear equations
- On the Newton-Kantorovich hypothesis for solving equations
- On the local convergence of fast two-step Newton-like methods for solving nonlinear equations
- Third-order iterative methods under Kantorovich conditions
- A semilocal convergence analysis for directional Newton methods
- Adaptive Approximation of Nonlinear Operators
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