Schröder's processes and the best ways of increasing order of Newton's method

DOI10.4171/EM/437OpenAlexW3147349937MaRDI QIDQ2165294

Calvin Gnang, François Dubeau

Publication date: 19 August 2022

Published in: Elemente der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/em/437

zbMATH Keywords

Newton's methodroot finding

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Acceleration of convergence in numerical analysis (65B99)

Cites Work

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• On rediscovered iteration methods for solving equations
• Polynomial and rational approximations and the link between Schröder's processes of the first and second kind
• On the rediscovery of Halley's iterative method for computing the zero of an analytic function
• Fixed point and Newton's methods in the complex plane
• On Schröder's families of root-finding methods
• Historical Development of the Newton–Raphson Method

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