On the local convergence of secant-type methods

Abstract

In this article, we carry out a local convergence study for Secant-type methods. Our goal is to enlarge the radius of convergence, without increasing the necessary hypothesis. Finally, some numerical tests and comparisons with early results are analyzed.

E-mail: [email protected]

E-mail: [email protected]

Keywords:

• Secant's method
• Local convergence
• Radius of convergence

Acknowledgements

The research of S. Amat was supported in part by PI-53/00809/FS/01 and J. M. Gutiérrez was supported in part by a grant of the Spanish Ministry of Science and Technology (Ref. BFM2002-00222) and by another grant of the University of La Rioja (Ref. API-02-88).

Notes

E-mail: [email protected]

E-mail: [email protected]

E-mail: [email protected]