Some novel optimal eighth order derivative-free root solvers and their basins of attraction

DOI10.1016/J.AMC.2016.02.054zbMath1410.65174OpenAlexW2310743009MaRDI QIDQ1733452

Janak Raj Sharma, Himani Arora

Publication date: 21 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.02.054

zbMATH Keywords

nonlinear equationsmultipoint iterative methodsattraction basinsderivative free methodsoptimal convergence order

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Iteration theory, iterative and composite equations (39B12)

Related Items (3)

Unnamed Item ⋮ Design and Analysis of a New Class of Derivative-Free Optimal Order Methods for Nonlinear Equations ⋮ A new class of derivative-free root solvers with increasing optimal convergence order and their complex dynamics

Uses Software

• Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new tool to study real dynamics: the convergence plane
• Basin attractors for various methods
• Three-point methods with and without memory for solving nonlinear equations
• A class of Steffensen type methods with optimal order of convergence
• An optimal Steffensen-type family for solving nonlinear equations
• A variant of Steffensen's method of fourth-order convergence and its applications
• A class of two-step Steffensen type methods with fourth-order convergence
• A family of Steffensen type methods with seventh-order convergence
• Generating optimal derivative free iterative methods for nonlinear equations by using polynomial interpolation
• Optimal Steffensen-type methods with eighth order of convergence
• A new technique to obtain derivative-free optimal iterative methods for solving nonlinear equations
• A non-iterative method for solving non-linear equations
• On a General Class of Multipoint Root-Finding Methods of High Computational Efficiency
• Optimal Order of One-Point and Multipoint Iteration
• A note on \(Q\)-order of convergence

This page was built for publication: Some novel optimal eighth order derivative-free root solvers and their basins of attraction