Ball convergence for an eighth order efficient method under weak conditions in Banach spaces
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Publication:1689267
DOI10.1007/s40324-016-0098-5zbMath1381.65039OpenAlexW2554330653MaRDI QIDQ1689267
Santhosh George, Ioannis K. Argyros, Shobha M. Erappa
Publication date: 12 January 2018
Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40324-016-0098-5
Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)
Related Items (2)
Extended convergence ball for an efficient eighth order method using only the first derivative ⋮ Domains of global convergence for Newton's method from auxiliary points
Cites Work
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- Different anomalies in a Jarratt family of iterative root-finding methods
- Semilocal convergence of an eighth-order method in Banach spaces and its computational efficiency
- A new tool to study real dynamics: the convergence plane
- Fourth- and fifth-order methods for solving nonlinear systems of equations: an application to the global positioning system
- Improved local analysis for a certain class of iterative methods with cubic convergence
- Semilocal convergence of a sixth order iterative method for quadratic equations
- 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
- A modification of Newton method with third-order convergence
- On the semilocal convergence of Newton-Kantorovich method under center-Lipschitz conditions
- Recurrence relations for rational cubic methods. I: The Halley method
- Convergence ball and error analysis of a family of iterative methods with cubic convergence
- An efficient fourth order weighted-Newton method for systems of nonlinear equations
- Iterative methods of order four and five for systems of nonlinear equations
- Computational theory of iterative methods.
- Increasing the order of convergence of iterative schemes for solving nonlinear systems
- Computational Methods in Nonlinear Analysis
- A semilocal convergence analysis for directional Newton methods
- Modification of the Kantorovich assumptions for semilocal convergence of the Chebyshev method
- A variant of Newton's method with accelerated third-order convergence
- A modified Newton-Jarratt's composition
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