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
✦ LIBER ✦
Extended sufficient semilocal convergence for the Secant method
✍ Scribed by Yeol Je Cho; Ioannis K. Argyros; Saïd Hilout
- Book ID
- 108078762
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 274 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Semilocal convergence of the secant meth
✍
M.A. Hernández; M.J. Rubio
📂
Article
📅
2002
🏛
Elsevier Science
🌐
English
⚖ 548 KB
On the semilocal convergence of efficien
✍
I.K. Argyros; J.A. Ezquerro; J.M. Gutiérrez; M.A. Hernández; S. Hilout
📂
Article
📅
2011
🏛
Elsevier Science
🌐
English
⚖ 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
A Semilocal Convergence of a Secant–Type
✍
Said Hilout; Alain Piétrus
📂
Article
📅
2006
🏛
Springer
🌐
English
⚖ 159 KB
Semilocal convergence of secant-like met
✍
J.A. Ezquerro; M. Grau-Sánchez; M.A. Hernández; M. Noguera
📂
Article
📅
2013
🏛
Elsevier Science
🌐
English
⚖ 306 KB
A new semilocal convergence theorem for
✍
JoséM Gutiérrez
📂
Article
📅
1997
🏛
Elsevier Science
🌐
English
⚖ 787 KB
Homocentric convergence ball of the seca
✍
Kewei Liang
📂
Article
📅
2007
🏛
SP Editorial Committee of Applied Mathematics - A
🌐
English
⚖ 210 KB