scipy.linalg.hessenberg¶
- scipy.linalg.hessenberg(a, calc_q=False, overwrite_a=False, check_finite=True)[source]¶
Compute Hessenberg form of a matrix.
The Hessenberg decomposition is:
A = Q H Q^H
where Q is unitary/orthogonal and H has only zero elements below the first sub-diagonal.
Parameters: a : (M, M) array_like
Matrix to bring into Hessenberg form.
calc_q : bool, optional
Whether to compute the transformation matrix. Default is False.
overwrite_a : bool, optional
Whether to overwrite a; may improve performance. Default is False.
check_finite : boolean, optional
Whether to check that the input matrix contains only finite numbers. Disabling may give a performance gain, but may result in problems (crashes, non-termination) if the inputs do contain infinities or NaNs.
Returns: H : (M, M) ndarray
Hessenberg form of a.
Q : (M, M) ndarray
Unitary/orthogonal similarity transformation matrix A = Q H Q^H. Only returned if calc_q=True.