Computes the sign and the log of the absolute value of the determinant of
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.
Constants
String | OP_NAME | The name of this op, as known by TensorFlow core engine |
Public Methods
static <T extends TType> LogMatrixDeterminant<T> | |
Output<T> |
logAbsDeterminant()
The logs of the absolute values of the determinants
of the N input matrices.
|
Output<T> |
sign()
The signs of the log determinants of the inputs.
|
Inherited Methods
Constants
public static final String OP_NAME
The name of this op, as known by TensorFlow core engine
Public Methods
public static LogMatrixDeterminant<T> create (Scope scope, Operand<T> input)
Factory method to create a class wrapping a new LogMatrixDeterminant operation.
Parameters
scope | current scope |
---|---|
input | Shape is `[N, M, M]`. |
Returns
- a new instance of LogMatrixDeterminant
public Output<T> logAbsDeterminant ()
The logs of the absolute values of the determinants of the N input matrices. Shape is `[N]`.