Defined in tensorflow/python/ops/

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 the determinant = signexp(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: 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.