The Inq writer Sylvie Barak reports it's very unlikely that we'll see NVIDIA's CUDA technology coming to AMD GPUs:
Still, for Cuda to be able to work on AMD GPUs, Nvidia would absolutely need AMD's support. Without it, Nvidia wouldn't be able to get low-level programming access to the GPU to develop the API. Even Nvidia admits that AMD would probably never allow this to happen. As for AMD, the company's point man on Stream seemed amazed we'd even asked.
AMD's Gary Silcott told the INQ "they [Nvidia] would intentionally damage performance to make Nvidia GPUs run the same app better." Then, perhaps thinking better of accusing Nvidia of hypothetical, yet outright, sabotage, Silcott added "Even if it wasn't intentional, it would not be optimized for our instruction set architecture like our own SDK."