On High Order Barycentric Root-Finding Methods

M.M. GRAÇA P.M. LIMA About the authors

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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