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
0 <= i <= deg. The leading indices of
V index the elements of
x and the last index is the degree of the Legendre polynomial.
c is a 1-D array of coefficients of length
n + 1 and
V is the array
V = legvander(x, n), then
np.dot(V, c) and
legval(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 Legendre series of the same degree and sample points.
x : array_like
Array of points. The dtype is converted to float64 or complex128 depending on whether any of the elements are complex. If
deg : int
Degree of the resulting matrix.
vander : ndarray
The pseudo-Vandermonde matrix. The shape of the returned matrix is
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