bundles / scipy 1.17.1 / scipy / linalg / _expm_frechet / expm_frechet_kronform

function

`scipy.linalg._expm_frechet:expm_frechet_kronform`

source: /scipy/linalg/_expm_frechet.py :305

Signature

def expm_frechet_kronform ( A , method = None , check_finite = True )

Summary

Construct the Kronecker form of the Frechet derivative of expm.

Parameters

A : array_like with shape (N, N): Matrix to be expm'd.
method : str, optional: Extra keyword to be passed to expm_frechet.
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

K : 2-D ndarray with shape (N*N, N*N): Kronecker form of the Frechet derivative of the matrix exponential.

Notes

This function is used to help compute the condition number of the matrix exponential.

See also

expm: Compute a matrix exponential.
expm_cond: Compute the relative condition number of the matrix exponential in the Frobenius norm.
expm_frechet: Compute the Frechet derivative of the matrix exponential.

Aliases

scipy.linalg._expm_frechet.expm_frechet_kronform