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reconstruct_skel_matrix(A, k, idx)

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 .

            <Comment: 
   |value: '..  This function automatically detects the matrix data type and calls the\n    appropriate backend. For details, see :func:`_backend.idd_copycols` and\n    :func:`_backend.idz_copycols`.'
   |>
           

Parameters

A : :class:`numpy.ndarray`

Original matrix.

k : int

Rank of ID.

idx : :class:`numpy.ndarray`

Column index array.

Returns

:class:`numpy.ndarray`

Skeleton matrix.

Reconstruct skeleton matrix from ID.

Examples

See :

Local connectivity graph

Hover to see nodes names; edges to Self not shown, Caped at 50 nodes.

Using a canvas is more power efficient and can get hundred of nodes ; but does not allow hyperlinks; , arrows or text (beyond on hover)

SVG is more flexible but power hungry; and does not scale well to 50 + nodes.

All aboves nodes referred to, (or are referred from) current nodes; Edges from Self to other have been omitted (or all nodes would be connected to the central node "self" which is not useful). Nodes are colored by the library they belong to, and scaled with the number of references pointing them


GitHub : /scipy/linalg/interpolative.py#692
type: <class 'function'>
Commit: