An analysis of the properties of the variants of Newton's method with third order convergence

DOI10.1016/j.amc.2006.05.116zbMath1123.65036OpenAlexW2004385903MaRDI QIDQ864825

Muhammad Zaid Dauhoo, Diyashvir Kreetee Rajiv Babajee

Publication date: 13 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.116

zbMATH Keywords

convergencesystemsnumerical examplesiterative methodsNewton methodnonlinear equationsHalley iteration method

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Numerical computation of solutions to single equations (65H05)

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Cites Work

• Graphic and numerical comparison between iterative methods
• On a convex acceleration of Newton's method
• Modified Newton's method with third-order convergence and multiple roots
• A modified Newton method for rootfinding with cubic convergence.
• Some variant of Newton's method with third-order convergence.
• On Newton-type methods with cubic convergence
• Some new variants of Newton's method.
• A modified Newton method with cubic convergence: the multivariate case
• Geometric mean Newton's method for simple and multiple roots
• On Halley's Iteration Method
• A family of Chebyshev-Halley type methods in Banach spaces
• A variant of Newton's method with accelerated third-order convergence
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