A biparametric family of optimally convergent sixteenth-order multipoint methods with their fourth-step weighting function as a sum of a rational and a generic two-variable function

DOI10.1016/j.cam.2011.01.003zbMath1215.65093OpenAlexW2021967519MaRDI QIDQ2431349

Young Hee Geum, Young Ik Kim

Publication date: 13 April 2011

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

Full work available at URL: https://doi.org/10.1016/j.cam.2011.01.003

zbMATH Keywords

convergencenonlinear equationsasymptotic error constantefficiency indexoptimal orderbiparametric familyfour-step multipoint iterative methodseighth-ordersixteenth-order

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Nonlinear algebraic or transcendental equations (65H99)

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Uses Software

• Mathematica

Cites Work

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