Some iterative methods free from second derivatives for nonlinear equations

DOI10.1016/j.amc.2007.02.138zbMath1193.65070OpenAlexW2040941802MaRDI QIDQ990492

Muhammad Aslam Noor

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.2007.02.138

zbMATH Keywords

convergenceiterative methodNewton methodTaylor seriesexamplesmodified Halley method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items

An efficient and straightforward numerical technique coupled to classical Newton's method for enhancing the accuracy of approximate solutions associated with scalar nonlinear equations, Family of Cubically Convergent Schemes Using Inverse Newton Function for Multiple Roots, An optimal fourth-order family of modified Cauchy methods for finding solutions of nonlinear equations and their dynamical behavior, From third to fourth order variant of Newton's method for simple roots, Local Convergence of a Family of Iterative Methods with Sixth and Seventh Order Convergence Under Weak Conditions, A note on ``New classes of iterative methods for nonlinear equations and ``Some iterative methods free from second derivatives for nonlinear equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Iterative methods improving Newton's method by the decomposition method
• Some iterative schemes for nonlinear equations
• New classes of iterative methods for nonlinear equations
• Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method
• Predictor-corrector Halley method for nonlinear equations
• Iterative methods with fourth-order convergence for nonlinear equations
• Modified Householder iterative method for nonlinear equations
• An improvement to Ostrowski root-finding method
• Classroom Note:Geometry and Convergence of Euler's and Halley's Methods