numpy.polynomial.laguerre.lagdiv(c1, c2)
[source]
Divide one Laguerre series by another.
Returns the quotient-with-remainder of two Laguerre series c1
/ 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
.
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. |
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.
>>> 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.]))
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https://docs.scipy.org/doc/numpy-1.12.0/reference/generated/numpy.polynomial.laguerre.lagdiv.html