An optimal 8th order Newton's-type method with basin of attraction

DOI10.1007/s40324-021-00262-1zbMath1499.65180OpenAlexW3188861974MaRDI QIDQ2101693

Arvind K. Singh, Ioannis K. Argyros, Manoj Kumar Singh

Publication date: 6 December 2022

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40324-021-00262-1

zbMATH Keywords

Newton's methodbasin of attractionorder of convergenceefficiency indexiteration functionKung-Traub conjecture

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (1)

On the convergence of Newton-like MS method with dynamics and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Basin attractors for various methods
• A family of modified Ostrowski's methods with optimal eighth order of convergence
• Efficient methods of optimal eighth and sixteenth order convergence for solving nonlinear equations
• A composite fourth-order iterative method for solving nonlinear equations
• Optimal eighth order convergent iteration scheme based on Lagrange interpolation
• A derivative free globally convergent method and its deformations
• An efficient family of weighted-Newton methods with optimal eighth order convergence
• Iterative Methods and Their Dynamics with Applications
• Optimal Order of One-Point and Multipoint Iteration

This page was built for publication: An optimal 8th order Newton's-type method with basin of attraction