Newton‐like iteration methods for solving non‐linear equations

DOI10.1002/cnm.832zbMath1092.65041OpenAlexW1979581525MaRDI QIDQ5467013

YoonMee Ham, Changbum Chun

Publication date: 23 May 2006

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.832

zbMATH Keywords

Newton's methodnumerical examplesnonlinear equationsorder of convergencehomotopy perturbation methodNewton-like iteration

Mathematics Subject Classification ID

Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Numerical computation of solutions to single equations (65H05)

Related Items (5)

Newton-homotopy analysis method for nonlinear equations ⋮ Construction of Newton-like iteration methods for solving nonlinear equations ⋮ Solution of delay differential equations via a homotopy perturbation method ⋮ Variational iteration method for modified Camassa-Holm and Degasperis-Procesi equations ⋮ On the solution of the nonlinear Kortewegâ de Vries equation by the homotopy perturbation method

Uses Software

• Maple

Cites Work

• Unnamed Item
• Unnamed Item
• An approximate solution technique depending on an artificial parameter: A special example
• Newton-like iteration method for solving algebraic equations
• A kind of approximation solution technique which does not depend upon small parameters. II: An application in fluid mechanics
• Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method
• On the homotopy analysis method for nonlinear problems.
• The homotopy perturbation method for nonlinear oscillators with discontinuities.
• On the error estimates of several Newton-like methods
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• On Newton-type methods with cubic convergence
• Comparison of homotopy perturbation method and homotopy analysis method
• An approximate solution technique not depending on small parameters: A special example
• Extended Newton's method for a system of nonlinear equations by modified Adomian decomposition method
• Results on Newton methods. I: A unified approach for constructing perturbed Newton-like methods in Banach space and their applications
• A variant of Newton's method with accelerated third-order convergence
• Generalized homotopy approach to multiobjective optimization.

This page was built for publication: Newton‐like iteration methods for solving non‐linear equations