A family of chebyshev-halley type methods

Abstract

The aim of this paper is to find, for each nonlinear equation f (x) = 0, a Chebyshev-Halley type iterative process in the form x _n = F(x _n-1), with at least cubical convergence, to solve this equation. Moreover, from this study we obtain new global convergence Theorems for Halley and Chebyschev methods.

Keywords:

• Nonlinear equations
• iterative processes
• Halley and Chebyschev methods

C.R.Categories:

• 5.1
• 5.15