cr.nimble.subspaces.is_in_subspace

cr.nimble.subspaces.is_in_subspace(U, v)[source]

Checks whether a vector v is in the subspace spanned by an ONB U or not

Parameters

  • U (jax.numpy.ndarray) – ONB for the subspace

  • v (jax.numpy.ndarray) – A vector in the ambient space

Returns

True if v lies in the subspace spanned by U, False otherwise

Return type

(bool)

Example

>>> A = jnp.eye(6)[:, :3]
>>> v = jnp.arange(6) + 0.
>>> print(is_in_subspace(A, v))
False
>>> u = project_to_subspace(A, v)
>>> print(is_in_subspace(A, u))
True