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hermediv(c1, c2)

Returns the quotient-with-remainder of two Hermite 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 P_0 + 2*P_1 + 3*P_2 .

Notes

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

Parameters

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

Returns

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

Divide one Hermite series by another.

Examples

>>> from numpy.polynomial.hermite_e import hermediv
... hermediv([ 14.,  15.,  28.,   7.,   6.], [0, 1, 2])
(array([1., 2., 3.]), array([0.]))

>>> hermediv([ 15.,  17.,  28.,   7.,   6.], [0, 1, 2])
(array([1., 2., 3.]), array([1., 2.]))

See :

Back References

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

numpy.polynomial.hermite_e.hermesub numpy.polynomial.hermite_e.hermeadd numpy.polynomial.hermite_e.hermemul numpy.polynomial.hermite_e.hermepow

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