𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Local convergence of efficient Secant-type methods for solving nonlinear equations

✍ Scribed by Hongmin Ren; I.K. Argyros

Book ID
113440171
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
232 KB
Volume
218
Category
Article
ISSN
0096-3003

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Secant-like methods for solving nonlinea
Secant-like methods for solving nonlinear integral equations of the Hammerstein type
✍ M.A. Hernández; M.J. Rubio; J.A. Ezquerro 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 95 KB

We consider a one-parametric family of secant-type iterations for solving nonlinear equations in Banach spaces. We establish a semilocal convergence result for these iterations by means of a technique based on a new system of recurrence relations. This result is then applied to obtain existence and

A new modified secant-like method for so
A new modified secant-like method for solving nonlinear equations
✍ Xiuhua Wang; Jisheng Kou; Chuanqing Gu 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 264 KB

In this paper, we present a new secant-like method for solving nonlinear equations. Analysis of the convergence shows that the asymptotic convergence order of this method is 1 + √ 3. Some numerical results are given to demonstrate its efficiency.

On the semilocal convergence of efficien
On the semilocal convergence of efficient Chebyshev–Secant-type methods
✍ 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