Local convergence of a two-step Newton-secant method for equations with solutions of multiplicity greater than one
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Date
2017
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Publisher
International Publications internationalpubls@yahoo.com
Abstract
We present the local convergence analysis of a two-step Newton-secant method in order to approximate a locally unique solution of multiplicity greater than one of a nonlinear equation. Numerical examples validating the theoretical results are also provided.
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Keywords
Local convergence, Multiplicity of solution, Two-step Newton-Secant methods
Citation
Panamerican Mathematical Journal, 2017, 27, 1, pp. 15-28