cr.sparse.la.subspaces.project_to_subspace¶
- cr.sparse.la.subspaces.project_to_subspace(U, v)[source]¶
Projects a vector to a subspace
- Parameters
U (jax.numpy.ndarray) – ONB for the subspace
v (jax.numpy.ndarray) – A vector in the ambient space
- Returns
Projection of v onto the subspace spanned by U
- Return type
Example
>>> A = jnp.eye(6)[:, :3] >>> v = jnp.arange(6) + 0. >>> u = project_to_subspace(A, v) >>> print(A) [[1. 0. 0.] [0. 1. 0.] [0. 0. 1.] [0. 0. 0.] [0. 0. 0.] [0. 0. 0.]] >>> print(v) [0. 1. 2. 3. 4. 5.] >>> print(u) [0. 1. 2. 0. 0. 0.]