`numpy.polynomial.chebyshev:chebdiv`

source: /numpy/polynomial/chebyshev.py :747

Signature

def chebdiv ( c1 , c2 )

Summary

Divide one Chebyshev series by another.

Extended Summary

Returns the quotient-with-remainder of two Chebyshev series c1 / c2. The arguments are sequences of coefficients from lowest order "term" to highest, e.g., [1,2,3] represents the series T_0 + 2*T_1 + 3*T_2.

Parameters

c1, c2 : array_like: 1-D arrays of Chebyshev series coefficients ordered from low to high.

Returns

[quo, rem] : ndarrays: Of Chebyshev series coefficients representing the quotient and remainder.

Notes

In general, the (polynomial) division of one C-series by another results in quotient and remainder terms that are not in the Chebyshev polynomial basis set. Thus, to express these results as C-series, it is typically necessary to "reproject" the results onto said basis set, which typically produces "unintuitive" (but correct) results; see Examples section below.

Examples

from numpy.polynomial import chebyshev as C
c1 = (1,2,3)
c2 = (3,2,1)
C.chebdiv(c1,c2) # quotient "intuitive," remainder not
c2 = (0,1,2,3)
C.chebdiv(c2,c1) # neither "intuitive"

✓

Aliases

numpy.polynomial.Chebyshev._div
numpy.polynomial.chebyshev.chebdiv