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 - >>> 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) 2.7166666666666668 - >>> p(1)/q(1) 2.7179487179487181