On the convergence order of the iterative methods

Abstract

We study the connection between the convergence order of two sequences. We show that the exist sequences that do not have exact convergence order.

We apply the obtained results to the study of the convergence order of the iterative methods.

Authors

Ion Păvăloiu
(Tiberiu Popoviciu Institute of Numerical Analysis)

Title

Original title (in French)

Sur l’ordre de convergence des méthodes d’itération

English translation of the title

On the convergence order of the iterative methods

Keywords

convergence order; nonlinear equation; iterative method

PDF

Notes

Cite this paper as:

I. Păvăloiu, Sur l’ordre de convergence des méthodes d’itération, Mathematica, 23(46) (1981) no. 1, pp. 261-272 (in French).

About this paper

Journal

Mathematica

Publisher Name
DOI

Not available yet.

Print ISSN

Not available yet.

Online ISSN

Not available yet.

References

[1] Brezinski, C., Comparation de suites convergentes, Revue francaise d’informatique et de recherches operationnelles, Nr. R-2, 95–99, (1971).

[2] Pavaloiu, I., Introducere în teoria aproximarii solutiilor ecuatiilor, Editura Dacia, Cluj-Napoca, (1976).

[3] Pavaloiu, I., Sur les procedes iteratifs a un ordre eleve de convergence, Mathematica, Cluj, 12(35), 2 309–324, (1970).

1981

Related Posts