scipy.linalg.expm_cond¶
-
scipy.linalg.
expm_cond
(A, check_finite=True)[source]¶ Relative condition number of the matrix exponential in the Frobenius norm.
- Parameters
- A2-D array_like
Square input matrix with shape (N, N).
- check_finitebool, 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
- kappafloat
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.
New in version 0.14.0.
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