𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the convergence of the secant method under the gamma condition

✍ Scribed by Ioannis K. Argyros

Book ID
111488388
Publisher
SP Versita
Year
2007
Tongue
English
Weight
210 KB
Volume
5
Category
Article
ISSN
1895-1074

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Semilocal convergence of the secant meth
Semilocal convergence of the secant method under mild convergence conditions of differentiability
✍ M.A. HernΓ‘ndez; M.J. Rubio πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 548 KB

In this work, we obtain a semilocal convergence result for the secant method in Banach spaces under mild convergence conditions. We consider a condition for divided differences which generalizes those usual ones, i.e., Lipschitz continuous and Holder continuous conditions. Also, we obtain a result f

On the semilocal convergence of efficien
On the semilocal convergence of efficient Chebyshev–Secant-type methods
✍ I.K. Argyros; J.A. Ezquerro; J.M. GutiΓ©rrez; M.A. HernΓ‘ndez; S. Hilout πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 257 KB

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