A family of derivative-free methods with high order of convergence and its application to nonsmooth equations

DOI10.1155/2012/836901zbMath1246.65079OpenAlexW2120967795WikidataQ58696901 ScholiaQ58696901MaRDI QIDQ437638

Eulalia Martínez, José L. Hueso, Alicia Cordero, Juan Ramón Torregrosa Sánchez

Publication date: 18 July 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/836901

zbMATH Keywords

convergencenumerical examplesnonlinear equationsderivative-free methodsKung-Traub's conjecture

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (6)

A parallel root-finding algorithm ⋮ Extended ball convergence of a seventh order derivative free method for solving system of equations with applications ⋮ Some iterative methods free from derivatives and their basins of attraction for nonlinear equations ⋮ Unnamed Item ⋮ Two optimal eighth-order derivative-free classes of iterative methods ⋮ A method to accelerate the convergence of the secant algorithm

Cites Work

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• A class of Steffensen type methods with optimal order of convergence
• Some derivative free quadratic and cubic convergence iterative formulas for solving nonlinear equations
• A variant of Steffensen's method of fourth-order convergence and its applications
• On a higher order secant method.
• Variants of Newton's method using fifth-order quadrature formulas
• On a Steffensen's type method and its behavior for semismooth equations
• Optimal Order of One-Point and Multipoint Iteration
• A modified Newton-Jarratt's composition

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