A weighted variant family of Newton's method with accelerated third-order convergence

DOI10.1016/j.amc.2006.08.041zbMath1121.65050OpenAlexW2079015775MaRDI QIDQ884545

Miquel Grau-Sánchez, José Luis Dıáz-Barrero

Publication date: 6 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.041

zbMATH Keywords

numerical experimentsefficiencyNewton-Raphson methodarithmetic meannonlinear equationsharmonic meanthird order of convergence

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (4)

Improvements of the efficiency of some three-step iterative like-Newton methods ⋮ Zero-finder methods derived using Runge-Kutta techniques ⋮ Adams-like techniques for zero-finder methods ⋮ On Convergence and Efficiency in the Resolution of Systems of Nonlinear Equations from a Local Analysis

Cites Work

• A variant of Cauchy's method with accelerated fifth-order convergence.
• A Generalization of Taylor's Expansion
• A variant of Newton's method with accelerated third-order convergence
• Unnamed Item

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