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On the semi-local convergence of Halley’s method under a center-Lipschitz condition on the second Fréchet derivative

✍ Scribed by Hongmin Ren; Ioannis K. Argyros

Book ID
116204423
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
218 KB
Volume
218
Category
Article
ISSN
0096-3003

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✍ I.K. Argyros 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 312 KB

We provide sufficient conditions for the convergence of inexact Newton methods to a solution of a nonlinear equation in a Banach space. Earlier results have used conditions on the first Fr&het-derivative. Our results differ from earlier results in that we use Lipschitz conditions on the second Fr&~h