Fourth-order variants of Cauchy's method for solving non-linear equations

DOI10.1016/j.amc.2007.02.125zbMath1193.65066OpenAlexW2140801459MaRDI QIDQ990495

Jisheng Kou

Publication date: 1 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.02.125

zbMATH Keywords

Newton's methoditerative methodroot-findingnon-linear equationsCauchy's method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (9)

A new family of methods for single and multiple roots ⋮ Family of Cubically Convergent Schemes Using Inverse Newton Function for Multiple Roots ⋮ An optimal fourth-order family of modified Cauchy methods for finding solutions of nonlinear equations and their dynamical behavior ⋮ Some new variants of Cauchy's methods for solving nonlinear equations ⋮ From third to fourth order variant of Newton's method for simple roots ⋮ New iterative methods for nonlinear equations ⋮ A family of methods for solving nonlinear equations ⋮ A new method of secant-like for nonlinear equations ⋮ The construction of rational iterative methods for solving nonlinear equations

Cites Work

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• On some third-order iterative methods for solving nonlinear equations
• On a family of second-derivative-free variants of Chebyshev's method
• A modification of Newton method with third-order convergence
• An analysis of the properties of the variants of Newton's method with third order convergence
• An iterative method with cubic convergence for nonlinear equations
• A variant of Chebyshev's method with sixth-order convergence
• A composite fourth-order iterative method for solving nonlinear equations
• Fourth-order iterative methods free from second derivative
• The Jarratt method in Banach space setting
• 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.
• Second-derivative-free variants of Cauchy's method
• Some variants of Cauchy's method with accelerated fourth-order convergence
• A uniparametric Chebyshev-type method free from second derivatives
• A variant of Newton's method with accelerated third-order convergence

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