An optimal eighth-order derivative-free family of Potra-Pták's method

DOI10.3390/a8020309zbMath1461.65078OpenAlexW1603497002MaRDI QIDQ1736660

Saurabh Bhatia, Munish Kansal, Vinay Kanwar

Publication date: 26 March 2019

Published in: Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/a8020309

zbMATH Keywords

optimal order of convergenceefficiency indexKung-Traub conjectureSteffensen-type methods

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (6)

Eighth order family of iterative methods for nonlinear equations and their basins of attraction ⋮ An optimal and efficient general eighth-order derivative free scheme for simple roots ⋮ Two general higher-order derivative free iterative techniques having optimal convergence order ⋮ A general class of optimal eighth-order derivative free methods for nonlinear equations ⋮ Some real-life applications of a newly constructed derivative free iterative scheme ⋮ Families of optimal derivative-free two- and three-point iterative methods for solving nonlinear equations

Cites Work

• An optimal Steffensen-type family for solving nonlinear equations
• Derivative free two-point methods with and without memory for solving nonlinear equations
• A class of optimal eighth-order derivative-free methods for solving the Danchick-Gauss problem
• An optimized derivative-free form of the Potra-Pták method
• Optimal Steffensen-type methods with eighth order of convergence
• Optimal Order of One-Point and Multipoint Iteration
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