Module « scipy.interpolate »

Fonction pade - module scipy.interpolate

Signature de la fonction pade

def pade(an, m, n=None) 

Description

pade.__doc__

    Return Pade approximation to a polynomial as the ratio of two polynomials.

    Parameters
    ----------
    an : (N,) array_like
        Taylor series coefficients.
    m : int
        The order of the returned approximating polynomial `q`.
    n : int, optional
        The order of the returned approximating polynomial `p`. By default,
        the order is ``len(an)-m``.

    Returns
    -------
    p, q : Polynomial class
        The Pade approximation of the polynomial defined by `an` is
        ``p(x)/q(x)``.

    Examples
    --------
    >>> from scipy.interpolate import pade
    >>> e_exp = [1.0, 1.0, 1.0/2.0, 1.0/6.0, 1.0/24.0, 1.0/120.0]
    >>> p, q = pade(e_exp, 2)

    >>> e_exp.reverse()
    >>> e_poly = np.poly1d(e_exp)

    Compare ``e_poly(x)`` and the Pade approximation ``p(x)/q(x)``

    >>> e_poly(1)
    2.7166666666666668

    >>> p(1)/q(1)
    2.7179487179487181