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Concerning the radius of convergence of Newton’s method and applications

✍ Scribed by Argyros, Ioannis K.


Publisher
Springer-Verlag
Year
1999
Tongue
English
Weight
140 KB
Volume
6
Category
Article
ISSN
1226-0061

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📜 SIMILAR VOLUMES


Concerning the convergence of inexact Ne
✍ Ioannis K. Argyros 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 576 KB

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

Concerning the “terra incognita” between
✍ Ioannis K. Argyros 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 212 KB

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