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tf.raw_ops.LogMatrixDeterminant

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.

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.

© 2020 The TensorFlow Authors. All rights reserved.
Licensed under the Creative Commons Attribution License 3.0.
Code samples licensed under the Apache 2.0 License.
https://www.tensorflow.org/versions/r2.3/api_docs/python/tf/raw_ops/LogMatrixDeterminant