Two optimal eighth-order derivative-free classes of iterative methods

DOI10.1155/2012/318165zbMath1253.65100OpenAlexW2163232983WikidataQ58696335 ScholiaQ58696335MaRDI QIDQ696044

Stanford Shateyi, Fazlollah Soleymani

Publication date: 18 December 2012

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

Full work available at URL: https://doi.org/10.1155/2012/318165

zbMATH Keywords

objective functionsefficient solversfourth-order uniparametric familyone-variable nonlinear equations

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Multi-objective and goal programming (90C29)

Related Items (9)

A two-parameter family of fourth-order iterative methods with optimal convergence for multiple zeros ⋮ A class of optimal eighth-order derivative-free methods for solving the Danchick-Gauss problem ⋮ On the Construction of Fast Steffensen-Type Iterative Methods for Nonlinear Equations ⋮ Some optimal iterative methods and their with memory variants ⋮ Two general higher-order derivative free iterative techniques having optimal convergence order ⋮ A new class of Halley's method with third-order convergence for solving nonlinear equations ⋮ Some iterative methods free from derivatives and their basins of attraction for nonlinear equations ⋮ An efficient two-parametric family with memory for nonlinear equations ⋮ Efficient iterative methods with and without memory possessing high efficiency indices

Cites Work

• Unnamed Item
• An improvement of Ostrowski's and King's techniques with optimal convergence order eight
• Two new classes of optimal Jarratt-type fourth-order methods
• A family of derivative-free methods with high order of convergence and its application to nonsmooth equations
• Finding the solution of nonlinear equations by a class of optimal methods
• An optimal Steffensen-type family for solving nonlinear equations
• Sixth order derivative free family of iterative methods
• Verified numerical computation for nonlinear equations
• Optimal Steffensen-type methods with eighth order of convergence
• Multiple zeros of nonlinear systems
• Optimal Order of One-Point and Multipoint Iteration
• The Mathematica GuideBook for Numerics

This page was built for publication: Two optimal eighth-order derivative-free classes of iterative methods