It might be interesting to estimate if or when a (parallel) implementation of Strassen's algorithm tuned to the Titan architecture might exceed the performance

It might be interesting to estimate if or when a (parallel) implementation of Strassen's algorithm tuned to the Titan architecture might exceed the performance of some comparable (parallel) direct method for matrix multiplication. It is not your own field per se but since the computation underlies many things you would like to do it could still be interesting and approachable.