Necessary and sufficient conditions for the convergence of two- and three-point Newton-type iterations

DOI10.1134/S0965542517070120zbMath1380.65091OpenAlexW2740236150MaRDI QIDQ1683028

O. Chuluunbaatar, V. Ulziibayar, T. Zhanlav

Publication date: 6 December 2017

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542517070120

zbMATH Keywords

nonlinear equationsnumerical experimentorder of convergenceNewton-type iterationsoptimal order

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (4)

On the optimal choice of parameters in two-point iterative methods for solving nonlinear equations ⋮ Generating function method for constructing new iterations ⋮ Families of optimal derivative-free two- and three-point iterative methods for solving nonlinear equations ⋮ High-order iterations for systems of nonlinear equations

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