expm_frechet_algo_64

torch_sim.math.expm_frechet_algo_64(A, E)[source]

Compute matrix exponential and its Frechet derivative using Algorithm 6.4.

This implementation follows Al-Mohy and Higham’s Algorithm 6.4 from “Computing the Frechet Derivative of the Matrix Exponential, with an application to Condition Number Estimation”.

Parameters:

  • A (Tensor) – Input matrix

  • E (Tensor) – Direction matrix

Returns:

Matrix exponential of A L: Frechet derivative of the matrix exponential in the direction E

Return type:

R