New three- and four-parametric iterative with memory methods with efficiency index near 2

DOI10.1016/j.amc.2015.08.017zbMath1410.65166OpenAlexW2172712181MaRDI QIDQ670868

Taher Lotfi, Paria Assari

Publication date: 20 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.08.017

zbMATH Keywords

nonlinear equationefficiency indexR-order of convergenceself accelerating parameterwith memory method

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Complexity and performance of numerical algorithms (65Y20)

Related Items (10)

Several two-point with memory iterative methods for solving nonlinear equations ⋮ A new accelerating technique applied to a variant of Cordero-Torregrosa method ⋮ An Ostrowski-type method with memory using a novel self-accelerating parameter ⋮ A new family of adaptive methods with memory for solving nonlinear equations ⋮ Dynamics of iterative families with memory based on weight functions procedure ⋮ Efficient four-parametric with-and-without-memory iterative methods possessing high efficiency indices ⋮ Unnamed Item ⋮ A general class of four parametric with- and without memory iterative methods for nonlinear equations ⋮ Creating a new two-step recursive memory method with eight-order based on Kung and Traub’s method ⋮ A family of Newton-type iterative methods using some special self-accelerating parameters

Cites Work

• Unnamed Item
• Unnamed Item
• Some new bi-accelerator two-point methods for solving nonlinear equations
• A new tool to study real dynamics: the convergence plane
• On the local convergence of a fifth-order iterative method in Banach spaces
• New mono- and biaccelerator iterative methods with memory for nonlinear equations
• Construction of optimal derivative-free techniques without memory
• A new family of Newton-type iterative methods with and without memory for solving nonlinear equations
• An efficient two-parametric family with memory for nonlinear equations
• Potra-Pták iterative method with memory
• Optimal Order of One-Point and Multipoint Iteration
• A variant of Newton's method with accelerated third-order convergence

This page was built for publication: New three- and four-parametric iterative with memory methods with efficiency index near 2