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Weights Guaranteeing Polefree Barycentric Rational Interpolation
The barycentric form of rational interpolants has some advantages among other representations [5]. Some authors have suggested many different kinds of weights ensuring that the rational interpolant written in barycentric form has no real poles. Here we give a necessary and sufficient condition for a rational interpolant written in barycentric form to have no poles when the nodes are located symmetrically relative to zero point. For some particular cases, some sets of suitable weights are also given.
Keywords
Barycentric Formula, Rational Interpolation, Interpolation
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