On the efficiency of the computations for approximating the solutions of equations

Abstract

We consider the iterative methods for solving nonlinear equations in $$\mathbb{R}$$ and the class of iterative methods obtained by inverse interpolation of Taylor type; we determine the iterative method having the greatest efficiency index. We show that this method is the Chebyshev method given by the second degree interpolatory polynomial for the inverse function.

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Cite this paper as:

I. Păvăloiu, On the efficiency of the computations for approximating the solutions of equations, Bul. Ştiinţ. Univ. Baia Mare, Ser. B Mat.-Inf., 14 (1998) no. 1, pp. 59-64.

Publisher Name

Universitatea Baia Mare