Some new variants of Cauchy's methods for solving nonlinear equations

DOI10.1155/2012/927450zbMath1268.65067OpenAlexW2042270758WikidataQ58906949 ScholiaQ58906949MaRDI QIDQ1952988

Tianbao Liu, Hengyan Li

Publication date: 3 June 2013

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/927450

zbMATH Keywords

numerical examplesCauchy's methodconvergence order threesimple roots of nonlinear equations

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items

An optimal fourth-order family of modified Cauchy methods for finding solutions of nonlinear equations and their dynamical behavior, A new class of Halley's method with third-order convergence for solving nonlinear equations, Local Convergence of a Family of Iterative Methods with Sixth and Seventh Order Convergence Under Weak Conditions

Cites Work

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• On optimal fourth-order iterative methods free from second derivative and their dynamics
• Unifying fourth-order family of iterative methods
• Some variants of Chebyshev-halley methods free from second derivative
• Some second-derivative-free variants of Chebyshev-halley methods
• Fourth-order variants of Cauchy's method for solving non-linear equations
• Selection of good algorithms from a family of algorithms for polynomial derivative evaluation
• The Jarratt method in Banach space setting
• Some variants of Cauchy's method with accelerated fourth-order convergence
• A composite third order Newton-Steffensen method for solving nonlinear equations
• Constructing third-order derivative-free iterative methods
• Optimal Order of One-Point and Multipoint Iteration
• A variant of Newton's method with accelerated third-order convergence