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lagdiv(c1, c2)

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

Parameters

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

Returns

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

Divide one Laguerre series by another.

Examples

>>> from numpy.polynomial.laguerre import lagdiv
... lagdiv([  8., -13.,  38., -51.,  36.], [0, 1, 2])
(array([1., 2., 3.]), array([0.]))

>>> lagdiv([  9., -12.,  38., -51.,  36.], [0, 1, 2])
(array([1., 2., 3.]), array([1., 1.]))

See :

Back References

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

numpy.polynomial.laguerre.lagmulx numpy.polynomial.laguerre.lagpow numpy.polynomial.laguerre.lagmul numpy.polynomial.laguerre.lagadd numpy.polynomial.laguerre.lagsub

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