A family of Newton-type iterative methods using some special self-accelerating parameters-Reference-Cited by-同舟云学术

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

Published:2017-08-23 Issue:10 Volume:95 Page:2112-2127
ISSN:0020-7160
Container-title:International Journal of Computer Mathematics
language:en
Short-container-title:International Journal of Computer Mathematics

Author:

Wang Xiaofeng¹

Affiliation:

1. School of Mathematics and Physics, Bohai University, Jinzhou, China

Funder

National Natural Science Foundation of China

Doctor Startup Foundation of Liaoning Province of China

Educational Commission Foundation of Liaoning Province of China

Publisher

Informa UK Limited

Subject

Applied Mathematics,Computational Theory and Mathematics,Computer Science Applications

Link

https://www.tandfonline.com/doi/pdf/10.1080/00207160.2017.1366459

Reference24 articles.

1. Complex dynamics of derivative-free methods for nonlinear equations

2. The basins of attraction of Murakami's fifth order family of methods

3. Numerically stable improved Chebyshev–Halley type schemes for matrix sign function

4. Variants of Newton’s Method using fifth-order quadrature formulas

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1. Optimization by the convergence control parameter in iterative methods;Journal of Applied Mathematics and Computational Mechanics;2024-06

2. Updating to Optimal Parametric Values by Memory-Dependent Methods: Iterative Schemes of Fractional Type for Solving Nonlinear Equations;Mathematics;2024-03-29

3. New Memory-Updating Methods in Two-Step Newton’s Variants for Solving Nonlinear Equations with High Efficiency Index;Mathematics;2024-02-15

4. An Optimal Eighth-Order One-Parameter Single-Root Finder: Chaotic Dynamics and Stability Analysis;International Journal of Bifurcation and Chaos;2023-12-11

5. The Dynamical Analysis of a Biparametric Family of Six-Order Ostrowski-Type Method under the Möbius Conjugacy Map;Fractal and Fractional;2022-03-21

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