chebdiv(c1, c2)
Returns the quotient-with-remainder of two Chebyshev series :None:None:`c1` / :None:None:`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
.
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.
1-D arrays of Chebyshev series coefficients ordered from low to high.
Of Chebyshev series coefficients representing the quotient and remainder.
Divide one Chebyshev series by another.
>>> from numpy.polynomial import chebyshev as C
... c1 = (1,2,3)
... c2 = (3,2,1)
... C.chebdiv(c1,c2) # quotient "intuitive," remainder not (array([3.]), array([-8., -4.]))
>>> c2 = (0,1,2,3)See :
... C.chebdiv(c2,c1) # neither "intuitive" (array([0., 2.]), array([-2., -4.]))
The following pages refer to to this document either explicitly or contain code examples using this.
numpy.polynomial.chebyshev.chebsub
numpy.polynomial.chebyshev.chebpow
numpy.polynomial.chebyshev.chebadd
numpy.polynomial.chebyshev.chebmul
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