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Convergence analysis of the modified Newton–HSS method under the Hölder continuous condition

✍ Scribed by Chen, Minhong; Lin, Rongfei; Wu, Qingbiao


Book ID
122279763
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
436 KB
Volume
264
Category
Article
ISSN
0377-0427

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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