A biparametric family of eighth-order methods with their third-step weighting function decomposed into a one-variable linear fraction and a two-variable generic function
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Publication:552202
DOI10.1016/J.CAMWA.2010.12.020zbMath1217.65088OpenAlexW2014551873MaRDI QIDQ552202
Publication date: 21 July 2011
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2010.12.020
weighting functionasymptotic error constantefficiency indexmultipoint method\texttt{Mathematica}eighth-order convergencebiparametric family
Related Items (6)
Optimal eighth order convergent iteration scheme based on Lagrange interpolation ⋮ A new optimal eighth-order family of iterative methods for the solution of nonlinear equations ⋮ Multipoint methods for solving nonlinear equations: a survey ⋮ An optimal family of fast 16th-order derivative-free multipoint simple-root finders for nonlinear equations ⋮ Dynamics of subfamilies of Ostrowski-Chun methods ⋮ Two optimal general classes of iterative methods with eighth-order
Uses Software
Cites Work
- Three-step iterative methods with eighth-order convergence for solving nonlinear equations
- A new family of eighth-order iterative methods for solving nonlinear equations
- Optimal Order of One-Point and Multipoint Iteration
- Some Fourth Order Multipoint Iterative Methods for Solving Equations
- A Family of Fourth Order Methods for Nonlinear Equations
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