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Compute the (Moore-Penrose) pseudo-inverse of a matrix.
`scipy.linalg.pinv2` is deprecated since SciPy 1.7.0, use
`scipy.linalg.pinv` instead for better tolerance control.
Calculate a generalized inverse of a matrix using its
singular-value decomposition and including all 'large' singular
values.
Parameters
----------
a : (M, N) array_like
Matrix to be pseudo-inverted.
cond, rcond : float or None
Cutoff for 'small' singular values; singular values smaller than this
value are considered as zero. If both are omitted, the default value
``max(M,N)*largest_singular_value*eps`` is used where ``eps`` is the
machine precision value of the datatype of ``a``.
.. versionchanged:: 1.3.0
Previously the default cutoff value was just ``eps*f`` where ``f``
was ``1e3`` for single precision and ``1e6`` for double precision.
return_rank : bool, optional
If True, return the effective rank of the matrix.
check_finite : bool, optional
Whether to check that the input matrix contains only finite numbers.
Disabling may give a performance gain, but may result in problems
(crashes, non-termination) if the inputs do contain infinities or NaNs.
Returns
-------
B : (N, M) ndarray
The pseudo-inverse of matrix `a`.
rank : int
The effective rank of the matrix. Returned if `return_rank` is True.
Raises
------
LinAlgError
If SVD computation does not converge.
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