Start iteration for Ezquerro-Hernández method

Authors

  • Cristian Mihai Cira Aurel Vlaicu University of Arad, Romania
  • Octavian Cira Aurel Vlaicu University of Arad, Romania

DOI:

https://doi.org/10.33993/jnaat372-885

Keywords:

Ezquerro-Hernández method, start iteration from sphere of quadruple convergence
Abstract views: 220

Abstract

We present a numerical method for solving nonlinear equation systems, namely Ezquerro-Hern\'{a}ndez method with a rate of convergence equal to 4. The main result of this article is an algorithm that determines a start iteration for the method within its quadruple convergence sphere.

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References

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Vrahatis, M. N., Solving systems of nonlinear equations using the nonzero value of the topological degree, ACM Trans. Math. Softw., 14, no. 4, pp. 312-329, 1988, https://doi.org/10.1145/50063.214384 . DOI: https://doi.org/10.1145/50063.214384

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Published

2008-08-01

How to Cite

Cira, C. M., & Cira, O. (2008). Start iteration for Ezquerro-Hernández method. Rev. Anal. Numér. Théor. Approx., 37(2), 133–142. https://doi.org/10.33993/jnaat372-885

Issue

Vol. 37 No. 2 (2008)

Section

Articles

License

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

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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.