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.
Authors
Ion Păvăloiu
(Tiberiu Popoviciu Institute of Numerical Analysis)
Keywords
Scanned paper freely available also on journal website.
Latex version of the paper (soon).
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.
About this paper
Journal
Publisher Name
Universitatea Baia Mare
JSTOR permalink
Print ISSN
Not available yet.
Online ISSN
Not available yet.