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
✦ LIBER ✦
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
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Concerning the convergence of inexact Ne
✍
Ioannis K. Argyros
📂
Article
📅
1997
🏛
Elsevier Science
🌐
English
⚖ 576 KB
On the convergence of newton's method
✍
Joel Friedman
📂
Article
📅
1989
🏛
Elsevier Science
🌐
English
⚖ 803 KB
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
On the monotone convergence of Newton's
✍
Florian A. Potra; Werner C. Rheinboldt
📂
Article
📅
1986
🏛
Springer Vienna
🌐
English
⚖ 452 KB
Extension of the convergence region of N
✍
G.S. Ganshin
📂
Article
📅
1971
🏛
Elsevier Science
⚖ 222 KB
On the Convergence of Newton’s Method fo
✍
Ioannis K. Argyros
📂
Article
📅
1999
🏛
Springer Vienna
🌐
English
⚖ 164 KB