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On the convergence radius of the modified Newton method for multiple roots under the center–Hölder condition

✍ Scribed by Xiaojian Zhou, Xin Chen, Yongzhong Song

Book ID
120755141
Publisher
Springer US
Year
2013
Tongue
English
Weight
216 KB
Volume
65
Category
Article
ISSN
1017-1398

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✍ Chong Li; Weiping Shen 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 816 KB

We study the convergence properties for some inexact Newton-like methods including the inexact Newton methods for solving nonlinear operator equations on Banach spaces. A new type of residual control is presented. Under the assumption that the derivative of the operator satisfies the Hölder conditio