Novel computational iterative methods with optimal order for nonlinear equations

DOI10.1155/2011/270903zbMath1236.65055OpenAlexW2127789447WikidataQ58654941 ScholiaQ58654941MaRDI QIDQ666382

Fazlollah Soleymani

Publication date: 8 March 2012

Published in: Advances in Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/270903

zbMATH Keywords

convergencenumerical examplesnonlinear equationfourth-order methodtwo-point iterative method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (6)

Solving nonsmooth equations using family of derivative-free optimal methods ⋮ Some optimal iterative methods and their with memory variants ⋮ An efficient family of optimal fourth-order iterative methods for finding multiple roots of nonlinear equations ⋮ Optimized Steffensen-type methods with eighth-order convergence and high efficiency index ⋮ A new optimal eighth-order Ostrowski-type family of iterative methods for solving nonlinear equations ⋮ Two novel classes of two-step optimal methods for all the zeros in an interval

Cites Work

• A general three-step class of optimal iterations for nonlinear equations
• An improvement of Ostrowski's and King's techniques with optimal convergence order eight
• Some families of two-step simultaneous methods for determining zeros of nonlinear equations
• Unifying fourth-order family of iterative methods
• Accurate fourteenth-order methods for solving nonlinear equations
• A multi-parameter family of three-step eighth-order iterative methods locating a simple root
• Optimal Order of One-Point and Multipoint Iteration
• A Family of Fourth Order Methods for Nonlinear Equations
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