Fixed point and Newton's methods in the complex plane

DOI10.1155/2018/7289092zbMath1448.65045OpenAlexW2788575833MaRDI QIDQ1785621

François Dubeau, Calvin Gnang

Publication date: 1 October 2018

Published in: Journal of Complex Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/7289092

zbMATH Keywords

convergence analysisNewton's methodfixed point theoremnonlinear equationscomplex plane

Mathematics Subject Classification ID

Fixed-point theorems (47H10) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical computation of solutions to single equations (65H05)

Related Items (1)

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

Cites Work

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• On types of convergence and on the behavior of approximations in the neighborhood of a multiple root of an equation

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