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.
A Semilocal Convergence of a Secant–Type Method for Solving Generalized Equations
✍ Scribed by Said Hilout; Alain Piétrus
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 159 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1385-1292
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📜 SIMILAR VOLUMES
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
In this paper, a new method for solving nonlinear equations f(x) = 0 is presented. In many literatures the derivatives are used, but the new method does not use the derivatives. Like the method of secant, the first derivative is replaced with a finite difference in this new method. The new method co