Module « scipy.interpolate »

Classe « BarycentricInterpolator »

Informations générales

Héritage

builtins.object
    _Interpolator1D
        BarycentricInterpolator

Définition

class BarycentricInterpolator(_Interpolator1D):

Description _{[extrait de BarycentricInterpolator.__doc__]}

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.

    The values yi need to be provided before the function is
    evaluated, but none of the preprocessing depends on them, so rapid
    updates are possible.

    Parameters
    ----------
    xi : array_like
        1-D array of x coordinates of the points the polynomial
        should pass through
    yi : array_like, optional
        The y coordinates of the points the polynomial should pass through.
        If None, the y values will be supplied later via the `set_y` method.
    axis : int, optional
        Axis in the yi array corresponding to the x-coordinate values.

    Notes
    -----
    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".

    

Constructeur(s)

Signature du constructeur	Description
__init__(self, xi, yi=None, axis=0)

Liste des attributs statiques

Attributs statiques hérités de la classe _Interpolator1D

dtype

Liste des opérateurs

Opérateurs hérités de la classe object

__eq__, __ge__, __gt__, __le__, __lt__, __ne__

Méthodes héritées de la classe _Interpolator1D

__init_subclass__, __subclasshook__

Méthodes héritées de la classe object

__delattr__, __dir__, __format__, __getattribute__, __hash__, __reduce__, __reduce_ex__, __repr__, __setattr__, __sizeof__, __str__