toeplitz#
- scipy.linalg.toeplitz(c, r=None)[source]#
- Construct a Toeplitz matrix. - The Toeplitz matrix has constant diagonals, with c as its first column and r as its first row. If r is not given, - r == conjugate(c)is assumed.- Parameters:
- carray_like
- First column of the matrix. 
- rarray_like, optional
- First row of the matrix. If None, - r = conjugate(c)is assumed; in this case, if c[0] is real, the result is a Hermitian matrix. r[0] is ignored; the first row of the returned matrix is- [c[0], r[1:]].- Warning - Beginning in SciPy 1.17, multidimensional input will be treated as a batch, not - raveled. To preserve the existing behavior,- ravelarguments before passing them to- toeplitz.
 
- Returns:
- A(len(c), len(r)) ndarray
- The Toeplitz matrix. Dtype is the same as - (c[0] + r[0]).dtype.
 
 - See also - circulant
- circulant matrix 
- hankel
- Hankel matrix 
- solve_toeplitz
- Solve a Toeplitz system. 
 - Notes - The behavior when c or r is a scalar, or when c is complex and r is None, was changed in version 0.8.0. The behavior in previous versions was undocumented and is no longer supported. - Examples - >>> from scipy.linalg import toeplitz >>> toeplitz([1,2,3], [1,4,5,6]) array([[1, 4, 5, 6], [2, 1, 4, 5], [3, 2, 1, 4]]) >>> toeplitz([1.0, 2+3j, 4-1j]) array([[ 1.+0.j, 2.-3.j, 4.+1.j], [ 2.+3.j, 1.+0.j, 2.-3.j], [ 4.-1.j, 2.+3.j, 1.+0.j]])