We plan to publish another blog post with more details on the torch.linalg module next week!
(Stable) Complex Autograd
The Complex Autograd feature, released as a beta in PyTorch 1.8, is now stable. Since the beta release, we have extended support for Complex Autograd for over 98% operators in PyTorch 1.9, improved testing for complex operators by adding more OpInfos, and added greater validation through TorchAudio migration to native complex tensors (refer to this issue). 
This feature provides users the functionality to calculate complex gradients and optimize real valued loss functions with complex variables. This is a required feature for multiple current and downstream prospective users of complex numbers in PyTorch like TorchAudio, ESPNet, Asteroid, and FastMRI. Refer to the documentation for more details. 
(Stable) torch.use_deterministic_algorithms()