Erratum to: On the semilocal convergence of the Hally method using recurrent functions
✍ Scribed by Ioannis K. Argyros; Saïd Hilout
- Book ID
- 107620142
- Publisher
- Springer-Verlag
- Year
- 2011
- Tongue
- English
- Weight
- 110 KB
- Volume
- 38
- Category
- Article
- ISSN
- 1598-5865
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📜 SIMILAR VOLUMES
In this paper, we discuss two variants of Newton's method without using any second derivative for solving nonlinear equations. By using the majorant function and confirming the majorant sequences, we obtain the cubic semilocal convergence and the error estimation in the Kantorovich-type theorems. Th
Newton's method Divided difference Recurrence relations a b s t r a c t We introduce a three-step Chebyshev-Secant-type method (CSTM) with high efficiency index for solving nonlinear equations in a Banach space setting. We provide a semilocal convergence analysis for (CSTM) using recurrence relatio
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