A family of fourth-order methods for solving nonlinear equations

DOI10.1016/J.AMC.2006.10.066zbMath1118.65038OpenAlexW2048060210MaRDI QIDQ2371519

Xiuhua Wang, Jisheng Kou, Yitian Li

Publication date: 4 July 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.10.066

zbMATH Keywords

convergenceNewton's methodnumerical examplesiterative methodnonlinear equationsroot-finding

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (9)

Family of Cubically Convergent Schemes Using Inverse Newton Function for Multiple Roots ⋮ A multidimensional generalization of some classes of iterative methods ⋮ From third to fourth order variant of Newton's method for simple roots ⋮ A general class of one-parametric with memory method for solving nonlinear equations ⋮ Multipoint methods for solving nonlinear equations: a survey ⋮ A family of methods for solving nonlinear equations ⋮ New third and fourth order nonlinear solvers for computing multiple roots ⋮ A note on ``New classes of iterative methods for nonlinear equations and ``Some iterative methods free from second derivatives for nonlinear equations ⋮ Creating a new two-step recursive memory method with eight-order based on Kung and Traub’s method

Cites Work

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• A note on the Halley method in Banach spaces
• A local convergence theorem for the super-Halley method in a Banach space
• Geometric constructions of iterative functions to solve nonlinear equations
• A composite third order Newton-Steffensen method for solving nonlinear equations
• A family of Chebyshev-Halley type methods in Banach spaces
• An acceleration of Newton's method: Super-Halley method
• A variant of Newton's method with accelerated third-order convergence

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