numpy.polynomial.hermite_e.hermevander(x, deg)
[source]
Pseudo-Vandermonde matrix of given degree.
Returns the pseudo-Vandermonde matrix of degree deg
and sample points x
. The pseudo-Vandermonde matrix is defined by
where 0 <= i <= deg
. The leading indices of V
index the elements of x
and the last index is the degree of the HermiteE polynomial.
If c
is a 1-D array of coefficients of length n + 1
and V
is the array V = hermevander(x, n)
, then np.dot(V, c)
and hermeval(x, c)
are the same up to roundoff. This equivalence is useful both for least squares fitting and for the evaluation of a large number of HermiteE series of the same degree and sample points.
Parameters: |
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Returns: |
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>>> from numpy.polynomial.hermite_e import hermevander >>> x = np.array([-1, 0, 1]) >>> hermevander(x, 3) array([[ 1., -1., 0., 2.], [ 1., 0., -1., -0.], [ 1., 1., 0., -2.]])
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https://docs.scipy.org/doc/numpy-1.17.0/reference/generated/numpy.polynomial.hermite_e.hermevander.html