Fewer Convergence Conditions for the Halley Method

José Antonio Ezquerro; M.A. Hernández

doi:10.4171/zaa/1287

JournalszaaVol. 25, No. 2pp. 249–255

Fewer Convergence Conditions for the Halley Method

José Antonio Ezquerro
Universidad de la Rioja, Logrono, Spain
- MathSciNet
- zbMATH Open
M.A. Hernández
Universidad de la Rioja, Logrono, Spain
- MathSciNet

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Abstract

We present a new semilocal convergence result of Newton-Kantorovich type for Halley's method, where fewer convergence conditions are required than all the existing ones until now.

Cite this article

José Antonio Ezquerro, M.A. Hernández, Fewer Convergence Conditions for the Halley Method. Z. Anal. Anwend. 25 (2006), no. 2, pp. 249–255

DOI 10.4171/ZAA/1287