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 the first element of r differs from the last element of c, the first element of r is replaced by the last element of c to ensure that anti-diagonals remain constant. 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]])