A note on the convergence of the irrational Halley’s iterative algorithm for solving nonlinear equations

DOI10.1080/00207160.2019.1664736zbMath1480.65118OpenAlexW2971376587MaRDI QIDQ5030604

Christian Vanhille

Publication date: 17 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2019.1664736

zbMATH Keywords

iterative algorithmsthird-order convergencesufficient conditionnonlinear functionsirrational Halley's algorithm

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Numerical computation of roots of polynomial equations (65H04)

Uses Software

• Mulprec

Cites Work

• Unnamed Item
• Generation of root finding algorithms via perturbation theory and some formulas
• Some derivative free quadratic and cubic convergence iterative formulas for solving nonlinear equations
• On derivative free cubic convergence iterative methods for solving nonlinear equations
• On some cubic convergence iterative formulae without derivatives for solving nonlinear equations
• Numerical Methods in Scientific Computing, Volume I
• New iterative method for solving non-linear equations with fourth-order convergence
• On Halley's Iteration Method

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