`scipy.interpolate._pade:pade`

Signature

def pade(an, m, n = None)

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 polynomial q.
n : int, optional: The order of the returned approximating polynomial p. By default, the order is len(an)-1-m.

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

Array API Standard Support

pade is not in-scope for support of Python Array API Standard compatible backends other than NumPy.

See dev-arrayapi for more information.

import numpy as np
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)

✗

np.float64(2.716666666666667)

p(1)/q(1)

✗

np.float64(2.717948717948718)