On Newton's method under Hölder continuous derivative

Author:

Zhengda Huang

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference15 articles.

1. Criterion α and Newton's method in the weak conditions;Wang;Math. Numer. Sinica,1997

2. Convergence of Newton's method and inverse function theorem in Banach space;Wang;Math. Comp.,1999

3. Local and global behavior for algorithm for solving equations;Wang;Chinese Sci. Bull.,2001

4. New results on Newton–Kantorovich approximations with applications to nonlinear integral equations;Appell;Monatsh. Math.,1990

5. The Newton–Kantorovich method under mild differentiablility condition and the Pták error estimates;Argyros;Monatsh. Math.,1990

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2. On the local convergence of inexact Newton-type methods under residual control-type conditions;Journal of Computational and Applied Mathematics;2010-11

3. Local convergence of inexact methods under the Hölder condition;Journal of Computational and Applied Mathematics;2008-12

4. A generalization of the Banach contraction principle with high order of convergence of successive approximations;Nonlinear Analysis: Theory, Methods & Applications;2007-10

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