New modification of Maheshwari's method with optimal eighth order convergence for solving nonlinear equations

DOI10.1515/math-2016-0041zbMath1350.65045arXiv1411.3226OpenAlexW2963842188MaRDI QIDQ317903

Somayeh Sharifi, Massimiliano Ferrara, Stefan Siegmund, Mehdi Salimi

Publication date: 4 October 2016

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.3226

zbMATH Keywords

convergencebasin of attractionnumerical experimentsimple rootsKung and Traub's conjecturemulti-point iterative methodsMaheshwari's method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (8)

Solving nonlinear equations by a derivative-free form of the King's family with memory ⋮ An optimal three-point eighth-order iterative method without memory for solving nonlinear equations with its dynamics ⋮ Developing a new family of Newton-Secant method with memory based on a weight function ⋮ Generating function method for constructing new iterations ⋮ A multi-point iterative method for solving nonlinear equations with optimal order of convergence ⋮ Review of some iterative methods for solving nonlinear equations with multiple zeros ⋮ Unnamed Item ⋮ Sixteenth-order optimal iterative scheme based on inverse interpolatory rational function for nonlinear equations

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