A variant of Newton's method based on Simpson's three-eighths rule for nonlinear equations

DOI10.1016/j.aml.2017.11.014zbMath1464.65045OpenAlexW2770074135MaRDI QIDQ1996370

Bei-Ru Lin, David R. Kincaid, Jen-Yuan Chen

Publication date: 4 March 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.11.014

zbMATH Keywords

convergence analysisNewton's methodnonlinear equation

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

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A third-order iterative algorithm for inversion of cumulative central beta distribution ⋮ A new iterative method for finding the multiple roots of nonlinear equations

Cites Work

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• Some new iterative methods for nonlinear equations
• Some new variants of Newton's method.
• Variants of Newton's method using fifth-order quadrature formulas
• A variant of Newton's method with accelerated third-order convergence

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