Construction of optimal derivative-free techniques without memory

DOI10.1155/2012/497023zbMath1268.65069OpenAlexW1972868758WikidataQ58906003 ScholiaQ58906003MaRDI QIDQ1952870

Fazlollah Soleymani, Stanford Shateyi, Sandile Sydney Motsa, Diyashvir Kreetee Rajiv Babajee

Publication date: 3 June 2013

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/497023

zbMATH Keywords

algorithmconvergencenumerical examplesnonlinear equationsiterative processesderivative-freeKung-Traub hypothesis

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (11)

A two-parameter family of fourth-order iterative methods with optimal convergence for multiple zeros ⋮ Widening basins of attraction of optimal iterative methods ⋮ Some optimal iterative methods and their with memory variants ⋮ On a numerical technique for finding multiple zeros and its dynamic ⋮ An efficient family of optimal fourth-order iterative methods for finding multiple roots of nonlinear equations ⋮ On the construction of some tri-parametric iterative methods with memory ⋮ New mono- and biaccelerator iterative methods with memory for nonlinear equations ⋮ A super-fast tri-parametric iterative method with memory ⋮ On the Kung-Traub conjecture for iterative methods for solving quadratic equations ⋮ New three- and four-parametric iterative with memory methods with efficiency index near 2 ⋮ Unnamed Item

Cites Work

• Steffensen type methods for solving nonlinear equations
• An improvement of Ostrowski's and King's techniques with optimal convergence order eight
• Two new classes of optimal Jarratt-type fourth-order methods
• Optimized Steffensen-type methods with eighth-order convergence and high efficiency index
• An optimal Steffensen-type family for solving nonlinear equations
• Derivative free two-point methods with and without memory for solving nonlinear equations
• A variant of Steffensen's method of fourth-order convergence and its applications
• A class of two-step Steffensen type methods with fourth-order convergence
• Optimal Steffensen-type methods with eighth order of convergence
• Multiple zeros of nonlinear systems
• Mathematica®: A Problem-Centered Approach
• Optimal Order of One-Point and Multipoint Iteration
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