def reconstruct_matrix_from_id(B, idx, proj):
"""
Reconstruct matrix from its ID.
A matrix `A` with skeleton matrix `B` and ID indices and coefficients `idx`
and `proj`, respectively, can be reconstructed as::
numpy.hstack([B, numpy.dot(B, proj)])[:,numpy.argsort(idx)]
See also :func:`reconstruct_interp_matrix` and
:func:`reconstruct_skel_matrix`.
.. This function automatically detects the matrix data type and calls the
appropriate backend. For details, see :func:`backend.idd_reconid` and
:func:`backend.idz_reconid`.
Parameters
----------
B : :class:`numpy.ndarray`
Skeleton matrix.
idx : :class:`numpy.ndarray`
Column index array.
proj : :class:`numpy.ndarray`
Interpolation coefficients.
Returns
-------
:class:`numpy.ndarray`
Reconstructed matrix.
"""
if _is_real(B):
return backend.idd_reconid(B, idx + 1, proj)
else:
return backend.idz_reconid(B, idx + 1, proj)
def reconstruct_matrix_from_id(B, idx, proj):
"""
Reconstruct matrix from its ID.
A matrix `A` with skeleton matrix `B` and ID indices and coefficients `idx`
and `proj`, respectively, can be reconstructed as::
numpy.hstack([B, numpy.dot(B, proj)])[:,numpy.argsort(idx)]
See also :func:`reconstruct_interp_matrix` and
:func:`reconstruct_skel_matrix`.
.. This function automatically detects the matrix data type and calls the
appropriate backend. For details, see :func:`backend.idd_reconid` and
:func:`backend.idz_reconid`.
Parameters
----------
B : :class:`numpy.ndarray`
Skeleton matrix.
idx : :class:`numpy.ndarray`
Column index array.
proj : :class:`numpy.ndarray`
Interpolation coefficients.
Returns
-------
:class:`numpy.ndarray`
Reconstructed matrix.
"""
if _is_real(B):
return backend.idd_reconid(B, idx + 1, proj)
else:
return backend.idz_reconid(B, idx + 1, proj)