ffsim.random.random_orthogonal

ffsim.random.random_orthogonal(dim, seed=None, dtype=<class 'float'>)

Return a random orthogonal matrix distributed with Haar measure.

Parameters:

• dim (int) – The width and height of the matrix.

• seed – The pseudorandom number generator or seed. Should be an instance of np.random.Generator or else a valid input to np.random.default_rng.

Return type:

ndarray

Returns:

The sampled orthogonal matrix.

References

• Mezzadri, “How to generate random matrices from the classical compact groups” (2007)