PadeApproximants(R, PS, UP)

pade.spad line 48 [edit on github]

• R : Field
• PS : UnivariateTaylorSeriesCategory(R)
• UP : UnivariatePolynomialCategory(R)

This package computes reliable Pade approximants using a generalized Viskovatov continued fraction algorithm.

pade : (NonNegativeInteger, NonNegativeInteger, PS, PS) -> Union(Fraction(UP), "failed")

pade(nd, dd, ns, ds) computes the approximant as a quotient of polynomials (if it exists) for arguments nd (numerator degree of approximant), dd (denominator degree of approximant), ns (numerator series of function), and ds (denominator series of function).

padecf : (NonNegativeInteger, NonNegativeInteger, PS, PS) -> Union(ContinuedFraction(UP), "failed")

padecf(nd, dd, ns, ds) computes the approximant as a continued fraction of polynomials (if it exists) for arguments nd (numerator degree of approximant), dd (denominator degree of approximant), ns (numerator series of function), and ds (denominator series of function).