Removing multiplicities in \(\mathbb C\) by double Newtonization

DOI10.1016/j.amc.2009.05.029zbMath1190.65079OpenAlexW2090959466MaRDI QIDQ732391

Mário M. Graça

Publication date: 9 October 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.05.029

zbMATH Keywords

Newton's methodanalytic functionconvex hulllevel curvemultiple zeroGauss-Lucas theoremdouble newtonizationextraneous zero

Mathematics Subject Classification ID

General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical computation of solutions to single equations (65H05)

Related Items (1)

Root finding by high order iterative methods based on quadratures

Uses Software

• Mathematica

Cites Work

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• A bibliography on roots of polynomials
• A refinement of the Gauss-Lucas theorem
• Complex Analysis
• On the Computation of Nonhyperbolic Fixed Points

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