Potra-Pták iterative method with memory

DOI10.1155/2014/697642zbMath1382.65132OpenAlexW1991163340WikidataQ59048909 ScholiaQ59048909MaRDI QIDQ2449034

Taher Lotfi, Sommayeh Hadadi, Stanford Shateyi

Publication date: 6 May 2014

Published in: ISRN Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/697642

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (5)

A variant of Steffensen-King's type family with accelerated sixth-order convergence and high efficiency index: dynamic study and approach ⋮ On the construction of some tri-parametric iterative methods with memory ⋮ New mono- and biaccelerator iterative methods with memory for nonlinear equations ⋮ New three- and four-parametric iterative with memory methods with efficiency index near 2 ⋮ Higher-order derivative-free families of Chebyshev-Halley type methods with or without memory for solving nonlinear equations

Cites Work

• An optimal Steffensen-type family for solving nonlinear equations
• New modifications of Potra-Pták's method with optimal fourth and eighth orders of convergence
• An optimized derivative-free form of the Potra-Pták method
• Optimal Order of One-Point and Multipoint Iteration
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