Computes the sign and the log of the absolute value of the determinant of
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tf.linalg.slogdet(
input, name=None
)
one or more square matrices.
The input is a tensor of shape [N, M, M]
whose inner-most 2 dimensions
form square matrices. The outputs are two tensors containing the signs and
absolute values of the log determinants for all N input submatrices
[..., :, :]
such that determinant = sign*exp(log_abs_determinant)
.
The log_abs_determinant
is computed as det(P)*sum(log(diag(LU)))
where LU
is the LU
decomposition of the input and P
is the corresponding
permutation matrix.