A new class of optimal four-point methods with convergence order 16 for solving nonlinear equations
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DOI: 10.1016/j.matcom.2015.08.011
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References listed on IDEAS
- Neta, Beny & Chun, Changbum, 2014. "Basins of attraction for several optimal fourth order methods for multiple roots," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 103(C), pages 39-59.
- Chun, Changbum & Neta, Beny, 2015. "Basins of attraction for Zhou–Chen–Song fourth order family of methods for multiple roots," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 109(C), pages 74-91.
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Cited by:
- Vinay Kanwar & Puneet Sharma & Ioannis K. Argyros & Ramandeep Behl & Christopher Argyros & Ali Ahmadian & Mehdi Salimi, 2021. "Geometrically Constructed Family of the Simple Fixed Point Iteration Method," Mathematics, MDPI, vol. 9(6), pages 1-13, March.
- Daniele Tommasini & David N. Olivieri, 2020. "Fast Switch and Spline Function Inversion Algorithm with Multistep Optimization and k-Vector Search for Solving Kepler’s Equation in Celestial Mechanics," Mathematics, MDPI, vol. 8(11), pages 1-18, November.
- Syahmi Afandi Sariman & Ishak Hashim & Faieza Samat & Mohammed Alshbool, 2021. "Modification of Newton-Househölder Method for Determining Multiple Roots of Unknown Multiplicity of Nonlinear Equations," Mathematics, MDPI, vol. 9(9), pages 1-12, April.
- Ramandeep Behl & Munish Kansal & Mehdi Salimi, 2020. "Modified King’s Family for Multiple Zeros of Scalar Nonlinear Functions," Mathematics, MDPI, vol. 8(5), pages 1-17, May.
- Moin-ud-Din Junjua & Fiza Zafar & Nusrat Yasmin, 2019. "Optimal Derivative-Free Root Finding Methods Based on Inverse Interpolation," Mathematics, MDPI, vol. 7(2), pages 1-10, February.
- Ramandeep Behl & Arwa Jeza Alsolami & Bruno Antonio Pansera & Waleed M. Al-Hamdan & Mehdi Salimi & Massimiliano Ferrara, 2019. "A New Optimal Family of Schröder’s Method for Multiple Zeros," Mathematics, MDPI, vol. 7(11), pages 1-14, November.
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Keywords
Simple root; Four-step iterative method; Kung and Traub conjecture; Optimal order of convergence; Computational efficiency;All these keywords.
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