From third to fourth order variant of Newton's method for simple roots

DOI10.1016/j.amc.2008.02.021zbMath1147.65037OpenAlexW2158594146MaRDI QIDQ942422

Dhiman Basu

Publication date: 5 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.02.021

zbMATH Keywords

Newton type methodnonlinear equationssimple rootTaylor's seriesfourth order convergence

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (8)

Derivative free two-point methods with and without memory for solving nonlinear equations ⋮ On a numerical technique for finding multiple zeros and its dynamic ⋮ A comparison between iterative methods by using the basins of attraction ⋮ Multipoint methods for solving nonlinear equations: a survey ⋮ A family of methods for solving nonlinear equations ⋮ A family of fourth-order Steffensen-type methods with the applications on solving nonlinear ODEs ⋮ Regarding the accuracy of optimal eighth-order methods ⋮ New modifications of Potra-Pták's method with optimal fourth and eighth orders of convergence

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