id_to_svd(B, idx, proj)

The SVD reconstruction of a matrix with skeleton matrix B and ID indices and coefficients idx and :None:None:`proj`, respectively, is:

U, S, V = id_to_svd(B, idx, proj)
A = numpy.dot(U, numpy.dot(numpy.diag(S), V.conj().T))

See also svd .

            <Comment: 
   |value: '..  This function automatically detects the matrix data type and calls the\n    appropriate backend. For details, see :func:`_backend.idd_id2svd` and\n    :func:`_backend.idz_id2svd`.'
   |>
           

Parameters

B : :class:`numpy.ndarray`

Skeleton matrix.

idx : :class:`numpy.ndarray`

Column index array.

proj : :class:`numpy.ndarray`

Interpolation coefficients.

Returns

U : :class:`numpy.ndarray`

Left singular vectors.

S : :class:`numpy.ndarray`

Singular values.

V : :class:`numpy.ndarray`

Right singular vectors.

Convert ID to SVD.

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

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GitHub : /scipy/linalg/interpolative.py#732
type: <class 'function'>
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