A fifth-order iterative method for solving nonlinear equations

DOI10.1016/j.amc.2007.04.005zbMath1193.65061OpenAlexW2051718952MaRDI QIDQ990673

Changbum Chun, YoonMee Ham

Publication date: 1 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.04.005

zbMATH Keywords

Newton's methoditerative methodsnonlinear equationsorder of convergence

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (10)

Eighth-order methods with high efficiency index for solving nonlinear equations ⋮ Family of multipoint with memory iterative schemes for solving nonlinear equations ⋮ Three novel fifth-order iterative schemes for solving nonlinear equations ⋮ A new Aitken type method for accelerating iterative sequences ⋮ Some fourth-order modifications of Newton's method ⋮ Modified Ostrowski's method with eighth-order convergence and high efficiency index ⋮ SOME HIGH ORDER ITERATIVE METHODS FOR NONLINEAR EQUATIONS BASED ON THE MODIFIED HOMOTOPY PERTURBATION METHODS ⋮ Certain improvements of Newton's method with fourth-order convergence ⋮ Two-point generalized Hermite interpolation: double-weight function and functional recursion methods for solving nonlinear equations ⋮ A new fifth-order iterative method free from second derivative for solving nonlinear equations

Cites Work

• Unnamed Item
• Unnamed Item
• Iterative methods improving Newton's method by the decomposition method
• An improvement of the Euler-Chebyshev iterative method
• The improvements of Chebyshev-Halley methods with fifth-order convergence
• Fifth-order iterative methods for solving nonlinear equations
• An improvement to Ostrowski root-finding method
• An acceleration of Newton's method: Super-Halley method

This page was built for publication: A fifth-order iterative method for solving nonlinear equations