scipy.linalg.pinv¶

scipy.linalg.pinv(a, cond=None, rcond=None, return_rank=False, check_finite=True)[source]

Compute the (Moore-Penrose) pseudo-inverse of a matrix.

Calculate a generalized inverse of a matrix using a least-squares solver.

Parameters: a : (M, N) array_like Matrix to be pseudo-inverted. cond, rcond : float, optional Cutoff for ‘small’ singular values in the least-squares solver. Singular values smaller than rcond * largest_singular_value are considered zero. 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. B : (N, M) ndarray The pseudo-inverse of matrix a. rank : int The effective rank of the matrix. Returned if return_rank == True LinAlgError If computation does not converge.

Examples

>>> from scipy import linalg
>>> a = np.random.randn(9, 6)
>>> B = linalg.pinv(a)
>>> np.allclose(a, np.dot(a, np.dot(B, a)))
True
>>> np.allclose(B, np.dot(B, np.dot(a, B)))
True


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