A class of two-point sixth-order multiple-zero finders of modified double-Newton type and their dynamics
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DOI: 10.1016/j.amc.2015.08.039
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- 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 several third order methods to find multiple roots of nonlinear equations," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 129-137.
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- Andreu, Carlos & Cambil, Noelia & Cordero, Alicia & Torregrosa, Juan R., 2014. "A class of optimal eighth-order derivative-free methods for solving the Danchick–Gauss problem," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 237-246.
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Cited by:
- G Thangkhenpau & Sunil Panday & Shubham Kumar Mittal & Lorentz Jäntschi, 2023. "Novel Parametric Families of with and without Memory Iterative Methods for Multiple Roots of Nonlinear Equations," Mathematics, MDPI, vol. 11(9), pages 1-18, April.
- Min-Young Lee & Young Ik Kim & Beny Neta, 2019. "A Generic Family of Optimal Sixteenth-Order Multiple-Root Finders and Their Dynamics Underlying Purely Imaginary Extraneous Fixed Points," Mathematics, MDPI, vol. 7(6), pages 1-26, June.
- Young Hee Geum & Young Ik Kim & Beny Neta, 2018. "Developing an Optimal Class of Generic Sixteenth-Order Simple-Root Finders and Investigating Their Dynamics," Mathematics, MDPI, vol. 7(1), pages 1-32, December.
- Deepak Kumar & Janak Raj Sharma & Clemente Cesarano, 2019. "One-Point Optimal Family of Multiple Root Solvers of Second-Order," Mathematics, MDPI, vol. 7(7), pages 1-11, July.
- Ramandeep Behl & Ioannis K. Argyros & Michael Argyros & Mehdi Salimi & Arwa Jeza Alsolami, 2020. "An Iteration Function Having Optimal Eighth-Order of Convergence for Multiple Roots and Local Convergence," Mathematics, MDPI, vol. 8(9), pages 1-21, August.
- Janak Raj Sharma & Sunil Kumar & Lorentz Jäntschi, 2020. "On Derivative Free Multiple-Root Finders with Optimal Fourth Order Convergence," Mathematics, MDPI, vol. 8(7), pages 1-15, July.
- Fiza Zafar & Alicia Cordero & Juan R. Torregrosa, 2018. "An Efficient Family of Optimal Eighth-Order Multiple Root Finders," Mathematics, MDPI, vol. 6(12), pages 1-16, December.
- Geum, Young Hee & Kim, Young Ik & Neta, Beny, 2016. "A sixth-order family of three-point modified Newton-like multiple-root finders and the dynamics behind their extraneous fixed points," Applied Mathematics and Computation, Elsevier, vol. 283(C), pages 120-140.
- Munish Kansal & Ali Saleh Alshomrani & Sonia Bhalla & Ramandeep Behl & Mehdi Salimi, 2020. "One Parameter Optimal Derivative-Free Family to Find the Multiple Roots of Algebraic Nonlinear Equations," Mathematics, MDPI, vol. 8(12), pages 1-15, December.
- Deepak Kumar & Janak Raj Sharma & Ioannis K. Argyros, 2020. "Optimal One-Point Iterative Function Free from Derivatives for Multiple Roots," Mathematics, MDPI, vol. 8(5), pages 1-14, May.
- Ramandeep Behl & Eulalia Martínez & Fabricio Cevallos & Diego Alarcón, 2019. "A Higher Order Chebyshev-Halley-Type Family of Iterative Methods for Multiple Roots," Mathematics, MDPI, vol. 7(4), pages 1-12, April.
- Saima Akram & Fiza Zafar & Nusrat Yasmin, 2019. "An Optimal Eighth-Order Family of Iterative Methods for Multiple Roots," Mathematics, MDPI, vol. 7(8), pages 1-14, July.
- Sharma, Janak Raj & Kumar, Sunil, 2021. "An excellent numerical technique for multiple roots," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 316-324.
- Himani Arora & Alicia Cordero & Juan R. Torregrosa & Ramandeep Behl & Sattam Alharbi, 2022. "Derivative-Free Iterative Schemes for Multiple Roots of Nonlinear Functions," Mathematics, MDPI, vol. 10(9), pages 1-13, May.
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Keywords
Multiple-zero finder; Extraneous fixed point; Double-Newton; Basins of attraction;All these keywords.
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