SciPy

scipy.linalg.expm_cond

scipy.linalg.expm_cond(A, check_finite=True)[source]

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

New in version 0.14.0.

Parameters :

A : 2d array-like

Square input matrix with shape (N, N).

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 :

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.