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Module « scipy.linalg »

Fonction hankel - module scipy.linalg

Signature de la fonction hankel

def hankel(c, r=None) 

Description

help(scipy.linalg.hankel)

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
----------
c : array_like
    First column of the matrix. Whatever the actual shape of `c`, it
    will be converted to a 1-D array.
r : array_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``.

See Also
--------
toeplitz : Toeplitz matrix
circulant : circulant matrix

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]])

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