Abstract
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.
Authors
Ion Păvăloiu
(Tiberiu Popoviciu Institute of Numerical Analysis)
Ioan Şerb
(Tiberiu Popoviciu Institute of Numerical Analysis)
Title
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
Keywords: inverse interpolation; Hermite polynomial; inverse Hermite interpolation; iterative method; convergence order
Scanned paper.
Cite this paper as:
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).
About this paper
Journal
Mathematica – Revue d’Analyse Numérique et de Théorie de l’Approximation
L’Analyse Numérique et la Théorie de l’Approximation
Publisher Name
Academia R.S. Romania
Paper on the journal website
Print ISSN
1010-3376
Online ISSN
2457-8118
References
[1] Ostrowski, M. A., Solution of Equations and Systems of Equations, Academic Press, New-York and London, 1960.
[2] Pavaloiu, I., Rezolvarea ecuatiilor prin interpolare, Ed. Dacia, 1981.
[3] Pavaloiu, I., Iancu, C., La resolution des equations par interpolation inverse de type Hermite, Seminar of functional analysis and Numerical methods, ”Babes-Bolyai” University, Research Seminaries, Preprint Nr. 4, (1981), 72–84. republished in: Mathematica (Cluj), 26(49) (1984), no. 2, pp. 115–123.