SciPy

scipy.linalg.interpolative.reconstruct_skel_matrix

scipy.linalg.interpolative.reconstruct_skel_matrix(A, k, idx)[source]

Reconstruct skeleton matrix from ID.

The skeleton matrix can be reconstructed from the original matrix A and its ID rank and indices k and idx, respectively, as:

B = A[:,idx[:k]]

The original matrix can then be reconstructed via:

numpy.hstack([B, numpy.dot(B, proj)])[:,numpy.argsort(idx)]

See also reconstruct_matrix_from_id and reconstruct_interp_matrix.

Parameters :

A : numpy.ndarray

Original matrix.

k : int

Rank of ID.

idx : numpy.ndarray

Column index array.

Returns :

:class:`numpy.ndarray` :

Skeleton matrix.