𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Semilocal convergence of a sixth-order Jarratt method in Banach spaces

✍ Scribed by Xiuhua Wang; Jisheng Kou; Chuanqing Gu

Publisher
Springer US
Year
2010
Tongue
English
Weight
304 KB
Volume
57
Category
Article
ISSN
1017-1398

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

A new convergence theorem for the Jarrat
A new convergence theorem for the Jarratt method in Banach space
✍ I.K. Argyros πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 340 KB

In this study, we approximate a locally unique solution of a nonlinear equation in Banach space using the Jarratt method. Sufficient convergence conditions for this method have already been given by several authors, when the equation is defined on the real line, or complex plane [1-3], or in Banach

On the semilocal convergence of inexact
On the semilocal convergence of inexact Newton methods in Banach spaces
✍ Ioannis K. Argyros πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 489 KB

We provide two types of semilocal convergence theorems for approximating a solution of an equation in a Banach space setting using an inexact Newton method [I.K. Argyros, Relation between forcing sequences and inexact Newton iterates in Banach spaces, Computing 63 (2) (1999) 134-144; I.K. Argyros, A