Convergence of Newton's and Halley's methods in the complex plane

DOI10.1080/00207390050203405zbMath1018.65066OpenAlexW2058893885MaRDI QIDQ3150413

Qingchuan Yao

Publication date: 17 October 2002

Published in: International Journal of Mathematical Education in Science and Technology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207390050203405

zbMATH Keywords

convergenceNewton's methodHalley's methodcomplex plane

Mathematics Subject Classification ID

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

Cites Work

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• On Halley iteration
• A Continuous Version of Newton's Method
• On the Geometry of Halley's Method

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