pade(an, m, n=None)

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)-1-m .

Returns

p, q : Polynomial class

The Pade approximation of the polynomial defined by :None:None:`an` is p(x)/q(x) .

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

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

See :

Back References

The following pages refer to to this document either explicitly or contain code examples using this.

scipy.interpolate._pade.pade

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