scipy.linalg.hankel#
- scipy.linalg.hankel(c, r=None)[source]#
Construct a Hankel matrix.
The Hankel matrix has constant anti-diagonals, with c as its first column and r as its last row. If r is not given, then r = zeros_like(c) is assumed.
- Parameters
- carray_like
First column of the matrix. Whatever the actual shape of c, it will be converted to a 1-D array.
- rarray_like, optional
Last row of the matrix. If None,
r = zeros_like(c)
is assumed. r[0] is ignored; the last row of the returned matrix is[c[-1], r[1:]]
. Whatever the actual shape of r, it will be converted to a 1-D array.
- Returns
- A(len(c), len(r)) ndarray
The Hankel matrix. Dtype is the same as
(c[0] + r[0]).dtype
.
Examples
>>> from scipy.linalg import hankel >>> hankel([1, 17, 99]) array([[ 1, 17, 99], [17, 99, 0], [99, 0, 0]]) >>> hankel([1,2,3,4], [4,7,7,8,9]) array([[1, 2, 3, 4, 7], [2, 3, 4, 7, 7], [3, 4, 7, 7, 8], [4, 7, 7, 8, 9]])