Module « scipy.linalg »

Fonction expm_cond - module scipy.linalg

Signature de la fonction expm_cond

def expm_cond(A, check_finite=True) 

Description

expm_cond.__doc__

    Relative condition number of the matrix exponential in the Frobenius norm.

    Parameters
    ----------
    A : 2-D array_like
        Square input matrix with shape (N, N).
    check_finite : bool, 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
    -------
    kappa : float
        The relative condition number of the matrix exponential
        in the Frobenius norm

    Notes
    -----
    A faster estimate for the condition number in the 1-norm
    has been published but is not yet implemented in SciPy.

    .. versionadded:: 0.14.0

    See also
    --------
    expm : Compute the exponential of a matrix.
    expm_frechet : Compute the Frechet derivative of the matrix exponential.

    Examples
    --------
    >>> from scipy.linalg import expm_cond
    >>> A = np.array([[-0.3, 0.2, 0.6], [0.6, 0.3, -0.1], [-0.7, 1.2, 0.9]])
    >>> k = expm_cond(A)
    >>> k
    1.7787805864469866