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Module « scipy.linalg »

Fonction expm_cond - module scipy.linalg

Signature de la fonction expm_cond

def expm_cond(A, check_finite=True) 

Description

help(scipy.linalg.expm_cond)

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

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

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

Examples
--------
>>> import numpy as np
>>> 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

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