Barycentric interpolation is a method for constructing an interpolating polynomial that is numerically stable and efficient for polynomial interpolation. This technique uses weights assigned to data points, allowing for the computation of the polynomial in a way that reduces numerical errors and simplifies the process of evaluating the polynomial at various points. Barycentric interpolation is particularly useful when dealing with large datasets, as it provides a means to interpolate without having to recompute the entire polynomial for each evaluation.
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