Abstract
We consider the solving of a nonlinear equation in \(\mathbb{R}\). We construct a spline function which approximates the nonlinear mapping, and we use the Hermite polynomial with two nodes (one simple and one multiple), to construct a iterative method.
Authors
Crăciun Iancu
(Tiberiu Popoviciu Institute of Numerical Analysis)
Ion Păvăloiu
(Tiberiu Popoviciu Institute of Numerical Analysis)
Title
Original title (in French)
Resolution des equations à l’aide des fonctions splines d’interpolation invèrse
English translation of the title
Solving equations with the aid of inverse interpolation spline functions
Keywords
Hermite interpolation; inverse interpolation; spline functions; iterative methods; nonlinear equations in R
Cite this paper as:
C. Iancu, I. Păvăloiu, Resolution des equations à l’aide des fonctions splines d’interpolation invèrse, Babes-Bolyai University, Faculty of Mathematics, Seminar on functional analysis and numerical methods, Preprint no. 1 (1984), pp. 97-104 (in French).
About this paper
Journal
Seminar on functional analysis and numerical methods,
Preprint
Publisher Name
“Babes-Bolyai” University,
Faculty of Mathematics and Physics,
Research Seminars
DOI
Not available yet.
References
[1] C. Iancu, Analiza si prelucrarea datelor cu ajutorul functiilor spline. Teza de doctorat, Cluj (1983), Facultatea de Matematica a Univ. ”Babes-Bolyai”.
[2] A. Imamov, Resenie nelineinib uravnenii metodom obratnogo splaininterpolirovaniis. Metodi splain-funktii, Akademia Nauk SSSR, Novosibirsk, 81 (1979), 74–80
[3] I. Pavaloiu, Rezolvarea ecuatiilor prin interpolare. Ed. Dacia, Cluj, 1981.
[4] Turowicz, B.A., Sur les derivees d’ordre superieur d’une fonction inverse, Colloq. Math. (1959), 83–87.