𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


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

The Secant method for nondifferentiable
✍ M.A. Hernández; M.J. Rubio 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 303 KB

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