Accelerating the convergence of the iterative methods of interpolatory type

Authors

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

DOI:

https://doi.org/10.33993/jnaat342-803

Keywords:

nonlinear equations, iterative methods of interpolatory type
Abstract views: 236

Abstract

In this paper we deal with iterative methods of interpolatory type, for solving nonlinear equations in Banach spaces. We show that the convergence order of the iterations may considerably grow if the nodes are properly controlled.

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References

Argyros, I., Polynomial Operator Equations in Abstract Spaces and Applications, CRC Press, LLC, 1998.

Ostrowski, A.M., Solution of Equations and Systems of Equations, Academic Press, New York, 1960.

Păvăloiu, I., Interpolation dans des éspaces linéaires normèes et applications, Mathematica, 12 (35), no. 1, pp. 149-150, 1970.

Păvăloiu, I., Introduction to the Theory of Approximating the Solutions of Equations, Ed. Dacia, Cluj-Napoca, Romania, 1976 (in Romanian).

Păvăloiu, I., On the convergence order of some Aitken-Steffensen-type methods, Rev. Anal. Numér. Théor. Approx., 32, no. 2, pp. 193-202, 2003, http://ictp.acad.ro/jnaat/journal/article/view/2003-vol32-no2-art8 DOI: https://doi.org/10.33993/jnaat322-748

Păvăloiu, I., Local convergence of general Steffensen type methods, Rev. Anal. Numér. Théor. Approx., 33, no. 1, pp. 79-86, 2004, http://ictp.acad.ro/jnaat/journal/article/view/2004-vol33-no1-art10 DOI: https://doi.org/10.33993/jnaat331-762

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Published

2005-08-01

How to Cite

Păvăloiu, I. (2005). Accelerating the convergence of the iterative methods of interpolatory type. Rev. Anal. Numér. Théor. Approx., 34(2), 169–173. https://doi.org/10.33993/jnaat342-803

Issue

Vol. 34 No. 2 (2005)

Section

Articles

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

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