expm_frechet_sps

torch_sim.math.expm_frechet_sps(A, E)

Scaling-Pade-squaring helper for Frechet derivative of exp(A) on 3x3 matrices.

References

• Awad H. Al-Mohy and Nicholas J. Higham (2009), “Computing the Fréchet

Derivative of the Matrix Exponential, with an Application to Condition Number Estimation”, SIAM J. Matrix Anal. Appl. 30(4):1639-1657. https://doi.org/10.1137/080716426

Parameters:

• A (Tensor)

• E (Tensor)

Return type:

tuple[Tensor, Tensor]