On some interpolation iterative methods with optimal convergence speed

We consider nonlinear equations in \(\mathbb{R}\), and a class of iterative methods obtained by inverse interpolation of Hermite type. We determine the methods with the highest convergence order among the methods in the considered class.

Ion Păvăloiu
(Tiberiu Popoviciu Institute of Numerical Analysis)

Ioan Şerb
(Tiberiu Popoviciu Institute of Numerical Analysis)

Original title (in French)

Sur quelques méthodes itératives de type intérpolatoire à vitèsse de convergence optimale

English translation of the title

On some inverse interpolation iterative methods with optimal convergence speed

Keywords: inverse interpolation; Hermite polynomial; inverse Hermite interpolation; iterative method; convergence order

Scanned paper (on the journal website).

PDF-Latex version of the paper.

I. Păvăloiu, I. Şerb, Sur quelques méthodes itératives de type intérpolatoire à vitèsse de convergence optimale, Anal. Numér. Théor. Approx., 12 (1983) no. 1, pp. 83-88 (in French).

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