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# scipy.interpolate.BarycentricInterpolator

class `scipy.interpolate.``BarycentricInterpolator`(xi, yi=None)

  The interpolating polynomial for a set of points

  Constructs a polynomial that passes through a given set of points. Allows evaluation of the polynomial, efficient changing of the y values to be interpolated, and updating by adding more x values. For reasons of numerical stability, this function does not compute the coefficients of the polynomial.

  This class uses a “barycentric interpolation” method that treats the problem as a special case of rational function interpolation. This algorithm is quite stable, numerically, but even in a world of exact computation, unless the x coordinates are chosen very carefully - Chebyshev zeros (e.g. cos(i*pi/n)) are a good choice - polynomial interpolation itself is a very ill-conditioned process due to the Runge phenomenon.

  Based on Berrut and Trefethen 2004, “Barycentric Lagrange Interpolation”.

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