Sur quelques méthodes itératives de type interpolatoire à vitesse de convergence optimale

On some iterative methods of interpolatory type with optimal convergence rate

Authors

  • Ion Păvăloiu "Tiberiu Popoviciu", Institute of Numerical Analysis, Romanian Academy, Romania
  • Ioan Şerb "Tiberiu Popoviciu", Institute of Numerical Analysis, Romanian Academy, Romania
Abstract views: 209

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.

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References

Ostrowski, A. M., Solution of equations and systems of equations. Pure and Applied Mathematics, Vol. IX. Academic Press, New York-London 1960 ix+202 pp., MR0127525.

Păvăloiu, I., Rezolvarea ecuaţiilor prin interpolare, Ed. DACIA, 1981.

Iancu, C.; Păvăloiu, I., La résolution des équations par interpolation inverse de type Hermite. (French) [Solution of equations by inverse interpolation of Hermite type] Seminar of Functional Analysis and Numerical Analysis, pp. 72-84, Preprint 1981, 4, Univ. "Babeş-Bolyai", Cluj-Napoca, 1981, MR0671746.

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Published

1983-02-01

How to Cite

Păvăloiu, I., & Şerb, I. (1983). Sur quelques méthodes itératives de type interpolatoire à vitesse de convergence optimale: On some iterative methods of interpolatory type with optimal convergence rate. Anal. Numér. Théor. Approx., 12(1), 83–88. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1983-vol12-no1-art10

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