A one-parameter fourth-order family of iterative methods for nonlinear equations

DOI10.1016/j.amc.2006.11.113zbMath1122.65330OpenAlexW2050741433MaRDI QIDQ2381357

Changbum Chun, YoonMee Ham

Publication date: 17 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.11.113

zbMATH Keywords

Newton's methodnumerical examplesiterative methodsnonlinear equationsorder of convergenceTraub-Ostrowski's fourth-order method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

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• A family of composite fourth-order iterative methods for solving nonlinear equations
• The Jarratt method in Banach space setting
• On Newton-type methods with cubic convergence
• Third-order modification of Newton's method
• A one-parameter family of quadratically convergent iteration formulae
• Fourth-order derivative-free methods for solving non-linear equations

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