numpy.polynomial.hermite.hermgrid2d#
- polynomial.hermite.hermgrid2d(x, y, c)[source]#
Evaluate a 2-D Hermite series on the Cartesian product of x and y.
This function returns the values:
\[p(a,b) = \sum_{i,j} c_{i,j} * H_i(a) * H_j(b)\]where the points
(a, b)consist of all pairs formed by taking a from x and b from y. The resulting points form a grid with x in the first dimension and y in the second.The parameters x and y are converted to arrays only if they are tuples or a lists, otherwise they are treated as a scalars. In either case, either x and y or their elements must support multiplication and addition both with themselves and with the elements of c.
If c has fewer than two dimensions, ones are implicitly appended to its shape to make it 2-D. The shape of the result will be c.shape[2:] + x.shape.
- Parameters:
- x, yarray_like, compatible objects
The two dimensional series is evaluated at the points in the Cartesian product of x and y. If x or y is a list or tuple, it is first converted to an ndarray, otherwise it is left unchanged and, if it isn’t an ndarray, it is treated as a scalar.
- carray_like
Array of coefficients ordered so that the coefficients for terms of degree i,j are contained in
c[i,j]. If c has dimension greater than two the remaining indices enumerate multiple sets of coefficients.
- Returns:
- valuesndarray, compatible object
The values of the two dimensional polynomial at points in the Cartesian product of x and y.
See also
Examples
>>> from numpy.polynomial.hermite import hermgrid2d >>> x = [1, 2, 3] >>> y = [4, 5] >>> c = [[1, 2, 3], [4, 5, 6]] >>> hermgrid2d(x, y, c) array([[1035., 1599.], [1867., 2883.], [2699., 4167.]])