Log-determinant, with automatic upconversion to a complex
output dtype in order to encode the sign.
This is a thin wrapper on top of {func}`jax.numpy.linalg.slogdet`.
The mathematical formula is:
\[\log(|A |)\]
- Parameters:
A (Array) – A square matrix, or batch of matrices. The shape should be
(…, N, N)
- Return type:
Array
- Returns:
A scalar or batch of scalars with the smallest complex dtype
computed from the input dtype. If the input has shape
(…, N, N) the output has shape (…)
