interpolate._pade

Module Contents

Functions

pade(an,m) Return Pade approximation to a polynomial as the ratio of two polynomials.
pade(an, m)

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

an : (N,) array_like
Taylor series coefficients.
m : int
The order of the returned approximating polynomials.
p, q : Polynomial class
The Pade approximation of the polynomial defined by an is p(x)/q(x).
>>> 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