A class of three-point root-solvers of optimal order of convergence

DOI10.1016/J.AMC.2010.01.123zbMath1188.65068OpenAlexW2041651819MaRDI QIDQ963956

Miodrag S. Petković, Ljiljana D. Petković, Jovana Džunić

Publication date: 14 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.01.123

zbMATH Keywords

Newton's methodnumerical examplesnonlinear equationscomputational efficiencyoptimal order of convergenceKung-Traub's conjecturemultipoint iterative methods

Mathematics Subject Classification ID

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

Related Items (14)

Construction of optimal order nonlinear solvers using inverse interpolation ⋮ New higher order methods for solving nonlinear equations with multiple roots ⋮ Optimal eighth order convergent iteration scheme based on Lagrange interpolation ⋮ A family of three-point methods of Ostrowski's type for solving nonlinear equations ⋮ A class of three-step derivative-free root solvers with optimal convergence order ⋮ Interpolatory multipoint methods with memory for solving nonlinear equations ⋮ A uniparametric family of three-step eighth-order multipoint iterative methods for simple roots ⋮ On the similarity of some three-point methods for solving nonlinear equations ⋮ An efficient family of root-finding methods with optimal eighth-order convergence ⋮ Efficient four-parametric with-and-without-memory iterative methods possessing high efficiency indices ⋮ Multipoint methods for solving nonlinear equations: a survey ⋮ On an efficient family of derivative free three-point methods for solving nonlinear equations ⋮ A family of optimal three-point methods for solving nonlinear equations using two parametric functions ⋮ Unnamed Item

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