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Extending the applicability of the Gauss–Newton method under average Lipschitz–type conditions

✍ Scribed by Ioannis K. Argyros; Saïd Hilout


Book ID
106488111
Publisher
Springer US
Year
2011
Tongue
English
Weight
540 KB
Volume
58
Category
Article
ISSN
1017-1398

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On the local convergence of inexact Newt
✍ Hongmin Ren; Ioannis K. Argyros 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 322 KB

A local convergence analysis of inexact Newton-type methods using a new type of residual control was recently presented by C. Li and W. Shen. Here, we introduce the center-Hölder condition on the operator involved, and use it in combination with the Hölder condition to provide a new local convergenc