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International Journal of Computer Mathematics Volume 95, 2018 - Issue 10
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Original Articles

A family of Newton-type iterative methods using some special self-accelerating parameters

Xiaofeng WangSchool of Mathematics and Physics, Bohai University, Jinzhou, ChinaCorrespondence[email protected]
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Pages 2112-2127 | Received 19 Oct 2016, Accepted 19 Jun 2017, Published online: 23 Aug 2017

Citations (9)

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Read on this site (1)

T. Zhanlav, Changbum Chun, Kh. Otgondorj & V. Ulziibayar. (2020) High-order iterations for systems of nonlinear equations. International Journal of Computer Mathematics 97:8, pages 1704-1724.
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Articles from other publishers (8)

Chein-Shan Liu & Chih-Wen Chang. (2024) Updating to Optimal Parametric Values by Memory-Dependent Methods: Iterative Schemes of Fractional Type for Solving Nonlinear Equations. Mathematics 12:7, pages 1032.
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Chein-Shan Liu & Chih-Wen Chang. (2024) New Memory-Updating Methods in Two-Step Newton’s Variants for Solving Nonlinear Equations with High Efficiency Index. Mathematics 12:4, pages 581.
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Wenshuo Li & Xiaofeng Wang. (2023) An Optimal Eighth-Order One-Parameter Single-Root Finder: Chaotic Dynamics and Stability Analysis. International Journal of Bifurcation and Chaos 33:15.
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Xiaofeng Wang & Xiaohe Chen. (2022) The Dynamical Analysis of a Biparametric Family of Six-Order Ostrowski-Type Method under the Möbius Conjugacy Map. Fractal and Fractional 6:3, pages 174.
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Xiaofeng Wang & Mingming Zhu. (2020) Two Iterative Methods with Memory Constructed by the Method of Inverse Interpolation and Their Dynamics. Mathematics 8:7, pages 1080.
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Xiaofeng Wang & Yuxi Tao. (2020) A New Newton Method with Memory for Solving Nonlinear Equations. Mathematics 8:1, pages 108.
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Maryam Mohamadi Zadeh, Taher Lotfi & Majid Amirfakhrian. (2018) Developing two efficient adaptive Newton‐type methods with memory. Mathematical Methods in the Applied Sciences 42:17, pages 5687-5695.
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Janak Raj Sharma & Himani Arora. (2019) Efficient Ostrowski-like methods of optimal eighthand sixteenth order convergence and their dynamics. Afrika Matematika 30:5-6, pages 921-941.
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