Ball convergence theorems for eighth-order variants of Newton's method under weak conditions
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Publication:889497
DOI10.1007/s40065-015-0128-7zbMath1328.65111OpenAlexW2071263832WikidataQ59412426 ScholiaQ59412426MaRDI QIDQ889497
Santhosh George, Ioannis K. Argyros
Publication date: 6 November 2015
Published in: Arabian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40065-015-0128-7
error estimateserror boundsNewton methodlocal convergenceLipschitz constantseighth-order methodball convergence
Cites Work
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- Stability study of eighth-order iterative methods for solving nonlinear equations
- On some third-order iterative methods for solving nonlinear equations
- Some new iterative methods with three-order convergence
- Recurrence relations for rational cubic methods. I: The Halley method
- New variants of Jarratt's method with sixth-order convergence
- Recurrence relations for the super-Halley method
- The Jarratt method in Banach space setting
- Some variant of Newton's method with third-order convergence.
- Dynamics of the King and Jarratt iterations
- Chaos in King's iterative family
- A modified Chebyshev's iterative method with at least sixth order of convergence
- An improvement of the Jarratt method
- Variants of Newton's method using fifth-order quadrature formulas
- New iterations of \(R\)-order four with reduced computational cost
- Choosing weight functions in iterative methods for simple roots
- SEMILOCAL CONVERGENCE OF A STIRLING-LIKE METHOD IN BANACH SPACES
- Convergence for modified Halley-like methods with less computation of inversion
- Computational Methods in Nonlinear Analysis
- Convergence and Applications of Newton-type Iterations
- A variant of Newton's method with accelerated third-order convergence
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