The optimal efficiency index of a class of Hermite iterative methods with two steps

Authors

  • Ion Păvăloiu Tiberiu Popoviciu, Institute of Numerical Analysis, Romanian Academy, Romania

DOI:

https://doi.org/10.33993/jnaat291-657
Abstract views: 232

Abstract

Not available.

Downloads

Download data is not yet available.

References

Brent, R., Winograd, S., Wolfe, F., Optimal Iterative Processes for Root-Finding, Numer. Math., 20, pp.327-341, 1973, https://doi.org/10.1007/bf01402555 DOI: https://doi.org/10.1007/BF01402555

Coman, Gh., Some Practical Approximation Methods for nonlinear Equations, Matematica-Revue d'Analyse Numérique et de Théorie de l'Approximation, 11, no.1-2, pp.11-48, 1982.

Kung, H.T., Traub, J.F., Optimal Order and Efficiency for Iterations with Two Evaluations, SIAM J. Numer. Anal., 13, no.1, pp. 84-99, 1976, https://doi.org/10.1137/0713010 DOI: https://doi.org/10.1137/0713010

Ostrowski, A.M., Solution of Equation and Systems of Equations, Academic Press, New York and London, 1966.

Păvăloiu, I., Bilateral Approximation for the Soltuions of Scalar Equations, Revue D'Analyse Numérique et de Théorie de l'Approximation, 23, 1, pp.95-100, 1994.

Păvăloiu, I., Optimal Problems Concerning Interpolation Methods of Solutions of Equations, Publ. Inst. Math. 52 (66), pp.113-126, 1992.

Păvăloiu, I., Optimal Efficiency Index for Iterative Methods of Interpolatory Type, Computer Science Journal of Moldova, 5, nr.1 (13), pp.20-43, 1997.

Traub, J.F., Iterative methods for slution of equations, Prentice-Hall Inc., Englewood Cliffs, New Jersey, 1964.

Turowicz, B.A., Sur les derivées d'ordre superieur d'une fonction inverse, Ann.Polon. Math., 8, pp.265-269, 1960, https://doi.org/10.4064/ap-8-3-265-269 DOI: https://doi.org/10.4064/ap-8-3-265-269

Downloads

Published

2000-02-01

How to Cite

Păvăloiu, I. (2000). The optimal efficiency index of a class of Hermite iterative methods with two steps. Rev. Anal. Numér. Théor. Approx., 29(1), 83–89. https://doi.org/10.33993/jnaat291-657

Issue

Vol. 29 No. 1 (2000)

Section

Articles

License

Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.