Chebyshev-Secant-type Methods for Non-differentiable Operators
✍ Scribed by I. K. Argyros, J. A. Ezquerro, J. M. Gutiérrez…
- Book ID
- 120780848
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2012
- Tongue
- English
- Weight
- 249 KB
- Volume
- 81
- Category
- Article
- ISSN
- 1424-9286
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📜 SIMILAR VOLUMES
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
m this paper, we use the Secant method to find a solution of a nonlinear operator equation in Banach spaces. A semilocal convergence result is obtained. For that, we consider a condition for divided differences which generalizes the usual once, i.e., Lipschitz continuous or Hiilder continuous condit