def iddp_rid(eps, m, n, matvect):
"""
Compute ID of a real matrix to a specified relative precision using random
matrix-vector multiplication.
:param eps:
Relative precision.
:type eps: float
:param m:
Matrix row dimension.
:type m: int
:param n:
Matrix column dimension.
:type n: int
:param matvect:
Function to apply the matrix transpose to a vector, with call signature
`y = matvect(x)`, where `x` and `y` are the input and output vectors,
respectively.
:type matvect: function
:return:
Rank of ID.
:rtype: int
:return:
Column index array.
:rtype: :class:`numpy.ndarray`
:return:
Interpolation coefficients.
:rtype: :class:`numpy.ndarray`
"""
proj = np.empty(m + 1 + 2*n*(min(m, n) + 1), order='F')
k, idx, proj, ier = _id.iddp_rid(eps, m, n, matvect, proj)
if ier != 0:
raise _RETCODE_ERROR
proj = proj[:k*(n-k)].reshape((k, n-k), order='F')
return k, idx, proj
def iddp_rid(eps, m, n, matvect):
"""
Compute ID of a real matrix to a specified relative precision using random
matrix-vector multiplication.
:param eps:
Relative precision.
:type eps: float
:param m:
Matrix row dimension.
:type m: int
:param n:
Matrix column dimension.
:type n: int
:param matvect:
Function to apply the matrix transpose to a vector, with call signature
`y = matvect(x)`, where `x` and `y` are the input and output vectors,
respectively.
:type matvect: function
:return:
Rank of ID.
:rtype: int
:return:
Column index array.
:rtype: :class:`numpy.ndarray`
:return:
Interpolation coefficients.
:rtype: :class:`numpy.ndarray`
"""
proj = np.empty(m + 1 + 2*n*(min(m, n) + 1), order='F')
k, idx, proj, ier = _id.iddp_rid(eps, m, n, matvect, proj)
if ier != 0:
raise _RETCODE_ERROR
proj = proj[:k*(n-k)].reshape((k, n-k), order='F')
return k, idx, proj