Computes the sign and the log of the absolute value of the determinant of
tf.raw_ops.LogMatrixDeterminant(
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.
Args | |
|---|---|
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). |
Returns | |
|---|---|
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.
|