Local convergence for deformed Chebyshev-type method in Banach space under weak conditions
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Publication:2813481
DOI10.1080/23311835.2015.1036958zbMath1339.65073OpenAlexW1981343462MaRDI QIDQ2813481
Santhosh George, Ioannis K. Argyros
Publication date: 24 June 2016
Published in: Cogent Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/23311835.2015.1036958
Numerical smoothing, curve fitting (65D10) Newton-type methods (49M15) Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)
Related Items (4)
Semilocal and local convergence of a fifth order iteration with Fréchet derivative satisfying Hölder condition ⋮ Convergence of an Iteration of Fifth-Order Using Weaker Conditions on First Order Fréchet Derivative in Banach Spaces ⋮ Deformed super-Halley's iteration in Banach spaces and its local and semilocal convergence ⋮ Local convergence analysis for Chebyshev's method
Cites Work
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- Weaker conditions for the convergence of Newton's method
- Third-order family of methods in Banach spaces
- Recurrence relations for rational cubic methods. II: The Chebyshev method
- Recurrence relations for rational cubic methods. I: The Halley method
- Recurrence relations for semilocal convergence of a Newton-like method in Banach spaces
- Newton-Kantorovich type convergence theorem for a family of new deformed Chebyshev method
- Recurrence relations for the super-Halley method
- Third-order iterative methods for operators with bounded second derivative
- Geometric constructions of iterative functions to solve nonlinear equations
- A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space
- On the local convergence of fast two-step Newton-like methods for solving nonlinear equations
- Computational theory of iterative methods.
- Quadratic equations and applications to Chandrasekhar's and related equations
- Modification of the Kantorovich assumptions for semilocal convergence of the Chebyshev method
- Chebyshev's approximation algorithms and applications
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