scipy.interpolate.pade#
- scipy.interpolate.pade(an, m, n=None)[source]#
Return Pade approximation to a polynomial as the ratio of two polynomials.
- Parameters
- an(N,) array_like
Taylor series coefficients.
- mint
The order of the returned approximating polynomial q.
- nint, optional
The order of the returned approximating polynomial p. By default, the order is
len(an)-1-m.
- Returns
- p, qPolynomial 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 approximationp(x)/q(x)>>> e_poly(1) 2.7166666666666668
>>> p(1)/q(1) 2.7179487179487181