Newton-like methods under mild differentiability conditions with error analysis-Reference-Cited by-同舟云学术

Newton-like methods under mild differentiability conditions with error analysis

Published:1988-02 Issue:1 Volume:37 Page:131-147
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Argyros Ioannis K.

Abstract

We apply Newton-like methods to operator equations where the operator has Hölder continuous derivatives. Our results reduce to the ones obtained by Rockne when the ordinary Newton method is applied to find solutions of nonlinear operator equations.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference8 articles.

1. Newton's method under mild differentiability conditions with error analysis

2. On the approximation of some nonlinear equations

3. Error analysis for the Newton-Raphson method

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