Concerning the convergence of Newton’s method and
✍ Scribed by Ioannis K. Argyros
- Book ID
- 107619789
- Publisher
- Springer-Verlag
- Year
- 2008
- Tongue
- English
- Weight
- 270 KB
- Volume
- 29
- Category
- Article
- ISSN
- 1598-5865
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this study, we use inexact Newton methods to find solutions of nonlinear operator equations on Banach spaces with a convergence structure. Our technique involves the introduction of a generalized norm as an operator from a linear space into a partially ordered Banach space. In this way the metric
The majorizing principle is used to show local and semilocal convergence of Newton methods to a locally unique solution of a nonlinear operator in a Banach space, when the Fréchet derivative of the operator involved satisfies a center-Hölder and a Hölder continuity condition. Then we investigate an