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Module « scipy.linalg.interpolative »

Fonction estimate_rank - module scipy.linalg.interpolative

Signature de la fonction estimate_rank

def estimate_rank(A, eps, rng=None) 

Description

help(scipy.linalg.interpolative.estimate_rank)

Estimate matrix rank to a specified relative precision using randomized
methods.

The matrix `A` can be given as either a :class:`numpy.ndarray` or a
:class:`scipy.sparse.linalg.LinearOperator`, with different algorithms used
for each case. If `A` is of type :class:`numpy.ndarray`, then the output
rank is typically about 8 higher than the actual numerical rank.

..  This function automatically detects the form of the input parameters and
    passes them to the appropriate backend. For details,
    see :func:`_backend.idd_estrank`, :func:`_backend.idd_findrank`,
    :func:`_backend.idz_estrank`, and :func:`_backend.idz_findrank`.

Parameters
----------
A : :class:`numpy.ndarray` or :class:`scipy.sparse.linalg.LinearOperator`
    Matrix whose rank is to be estimated, given as either a
    :class:`numpy.ndarray` or a :class:`scipy.sparse.linalg.LinearOperator`
    with the `rmatvec` method (to apply the matrix adjoint).
eps : float
    Relative error for numerical rank definition.
rng : `numpy.random.Generator`, optional
    Pseudorandom number generator state. When `rng` is None, a new
    `numpy.random.Generator` is created using entropy from the
    operating system. Types other than `numpy.random.Generator` are
    passed to `numpy.random.default_rng` to instantiate a ``Generator``.
    If `rand` is ``False``, the argument is ignored.

Returns
-------
int
    Estimated matrix rank.

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