Higher-order derivative-free families of Chebyshev-Halley type methods with or without memory for solving nonlinear equations
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Publication:1740148
DOI10.1016/j.amc.2017.07.051zbMath1426.65064OpenAlexW2755646025MaRDI QIDQ1740148
Ioannis K. Argyros, Munish Kansal, Sugandha Bajaj, Vinay Kanwar
Publication date: 29 April 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2017.07.051
computational efficiencylocal convergence\(R\)-order of convergencemultipoint iterative methodsmethods with memory
Related Items (10)
Local convergence of a seventh order derivative-free method for solving nonlinear equations in Banach spaces ⋮ On the optimal choice of parameters in two-point iterative methods for solving nonlinear equations ⋮ A modified Chebyshev–Halley‐type iterative family with memory for solving nonlinear equations and its stability analysis ⋮ Analysis of optimal iterative methods from a dynamical point of view by studying their stability properties ⋮ On the local convergence of Kung-Traub's two-point method and its dynamics. ⋮ Unnamed Item ⋮ HIGHER-ORDER FAMILIES OF MULTIPLE ROOT FINDING METHODS SUITABLE FOR NON-CONVERGENT CASES AND THEIR DYNAMICS ⋮ Unnamed Item ⋮ Families of optimal derivative-free two- and three-point iterative methods for solving nonlinear equations ⋮ Ball convergence for a family of eight-order iterative schemes under hypotheses only of the first-order derivative
Cites Work
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- An improvement of Chebyshev-Halley methods free from second derivative
- Solving nonlinear equations by a derivative-free form of the King's family with memory
- On the convergence of an optimal fourth-order family of methods and its dynamics
- Basin attractors for various methods
- Three-point methods with and without memory for solving nonlinear equations
- A family of second derivative free fourth order continuation method for solving nonlinear equations
- An optimal Steffensen-type family for solving nonlinear equations
- On Halley-type iterations with free second derivative
- Derivative free two-point methods with and without memory for solving nonlinear equations
- Graphic and numerical comparison between iterative methods
- Geometric constructions of iterative functions to solve nonlinear equations
- A class of optimal eighth-order derivative-free methods for solving the Danchick-Gauss problem
- Dynamics of the King and Jarratt iterations
- An efficient and stable Newton-type iterative method for computing generalized inverse \(A_{T,S}^{(2)}\)
- Some efficient derivative free methods with memory for solving nonlinear equations
- Potra-Pták iterative method with memory
- On the Design of Optimal Iterative Methods for Solving Nonlinear Equations
- Families of Newton-like methods with fourth-order convergence
- Numerical solution of constrained non-linear algebraic equations
- A family of Chebyshev-Halley type methods in Banach spaces
- Optimal Order of One-Point and Multipoint Iteration
- Efficient two-step derivative-free iterative methods with memory and their dynamics
- An acceleration of Newton's method: Super-Halley method
- A variant of Newton's method with accelerated third-order convergence
- A note on \(Q\)-order of convergence
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