On the local convergence of inexact Newton-type methods under residual control-type conditions-Reference-Cited by-同舟云学术

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On the local convergence of inexact Newton-type methods under residual control-type conditions

Published:2010-11 Issue:1 Volume:235 Page:218-228
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Ren Hongmin,Argyros Ioannis K.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Zhejiang Province of China

Scientific Research Fund of Zhejiang Provincial Education Department of China

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference19 articles.

1. Computational Theory of Iterative Methods;Argyros,2007

2. A new convergence theorem for the inexact Newton methods based on assumptions involving the second Fréchet derivative;Argyros;Comput. Math. Appl.,1999

3. A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space;Argyros;J. Math. Anal. Appl.,2004

4. On the semilocal convergence of inexact Newton methods in Banach spaces;Argyros;J. Comput. Appl. Math.,2009

5. Local convergence of inexact Newton methods;Ypma;SIAM J. Numer. Anal.,1984

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