Interpolatory multipoint methods with memory for solving nonlinear equations

DOI10.1016/J.AMC.2011.07.068zbMath1243.65054OpenAlexW2012385350MaRDI QIDQ425440

Miodrag S. Petković, Jovana Džunić, Beny Neta

Publication date: 8 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.07.068

zbMATH Keywords

convergencenumerical examplesnonlinear equationscomputational efficiencymultipoint methodsinverse interpolation

Mathematics Subject Classification ID

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

Related Items (18)

Solving nonlinear equations by a derivative-free form of the King's family with memory ⋮ An Ostrowski-type method with memory using a novel self-accelerating parameter ⋮ A new family of adaptive methods with memory for solving nonlinear equations ⋮ Unnamed Item ⋮ Three new optimal fourth-order iterative methods to solve nonlinear equations ⋮ On a family of high-order iterative methods under Kantorovich conditions and some applications ⋮ Optimized Steffensen-type methods with eighth-order convergence and high efficiency index ⋮ Derivative free iterative methods with memory of arbitrary high convergence order ⋮ A new family of optimal eighth order methods with dynamics for nonlinear equations ⋮ A general class of one-parametric with memory method for solving nonlinear equations ⋮ Multipoint methods for solving nonlinear equations: a survey ⋮ On an efficient family of derivative free three-point methods for solving nonlinear equations ⋮ On generalized biparametric multipoint root finding methods with memory ⋮ A new family of Newton-type iterative methods with and without memory for solving nonlinear equations ⋮ On a two-step relaxed Newton-type method ⋮ Efficient \(n\)-point iterative methods with memory for solving nonlinear equations ⋮ Efficient Ostrowski-like methods of optimal eighth and sixteenth order convergence and their dynamics ⋮ An efficient family of weighted-Newton methods with optimal eighth order convergence

Uses Software

• gmp

Cites Work

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