Computes the sign and the log of the absolute value of the determinant of
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 the 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.
input
: A Tensor
. Must be one of the following types: half
, float32
, float64
, complex64
, complex128
.
Shape is [N, M, M]
.name
: A name for the operation (optional).A tuple of Tensor
objects (sign, log_abs_determinant).
sign
: A Tensor
. Has the same type as input
.log_abs_determinant
: A Tensor
. Has the same type as input
.