mindspore.numpy.vander

mindspore.numpy.vander(x, N=None, increasing=False)[source]

Generates a Vandermonde matrix.

The columns of the output matrix are powers of the input vector. The order of the powers is determined by the increasing boolean argument. Specifically, when increasing is False, the i-th output column is the input vector raised element-wise to the power of \(N - i - 1\). Such a matrix with a geometric progression in each row is named for Alexandre-Theophile Vandermonde.

Parameters

  • x (Union[list, tuple, Tensor]) – 1-D input array.

  • N (int, optional) – Number of columns in the output. If N is not specified, a square array is returned (N = len(x)).

  • increasing (bool, optional) – Order of the powers of the columns. If True, the powers increase from left to right, if False (the default) they are reversed.

Returns

Vandermonde matrix. If increasing is False, the first column is \(x^{(N-1)}\), the second \(x^{(N-2)}\) and so forth. If increasing is True, the columns are \(x^0, x^1, ..., x^{(N-1)}\).

Raises

  • TypeError – If inputs have types not specified above.

  • ValueError – If x is not 1-D, or N < 0.

Supported Platforms:

Ascend GPU CPU

Examples

>>> import mindspore.numpy as np
>>> print(np.vander([1., 2., 3., 4., 5.]))
[[  1   1   1   1   1]
 [ 16   8   4   2   1]
 [ 81  27   9   3   1]
 [256  64  16   4   1]
 [625 125  25   5   1]]