On High Order Barycentric Root-Finding Methods

Mario Meireles Graça, Pedro Miguel Lima

Abstract


To approximate a simple root of a real function f we construct a family of iterative maps, which we call Newton-barycentric functions, and analyse their convergence order. The performance of the resulting methods is illustrated by means of numerical examples. 


Keywords


Order of convergence, Newton's method, Newton-barycentric map, nonlinear equations.

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References


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DOI: https://doi.org/10.5540/tema.2016.017.03.0321

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Trends in Computational and Applied Mathematics

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