Accelerating the convergence of the iterative methods of interpolatory type
Keywords:nonlinear equations, iterative methods of interpolatory type
AbstractIn 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.
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
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
How to Cite
Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory
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.