On High Order Barycentric Root-Finding Methods
DOI:
https://doi.org/10.5540/tema.2016.017.03.0321Keywords:
Order of convergence, Newton's method, Newton-barycentric map, nonlinear equations.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.
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