expm_frechet_with_matrix_exp

torch_sim.math.expm_frechet_with_matrix_exp(A, E, method=None, check_finite=True)[source]

Frechet derivative of the matrix exponential of A in the direction E.

Parameters:

  • A (Tensor | ndarray) – (N, N) tensor.Tensor or np.ndarray. Matrix of which to take the matrix exponential.

  • E (Tensor | ndarray) – (N, N) tensor.Tensor or np.ndarray. Matrix direction in which to take the Frechet derivative.

  • method (str | None) – str, optional. Choice of algorithm. Should be one of - SPS (default) - blockEnlarge

  • check_finite (bool) – 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. Defaults to True.

Returns:

torch.Tensor. Matrix exponential of A. expm_frechet_AE: torch.Tensor. Frechet derivative of the matrix exponential of A

in the direction E.

Return type:

expm_A