There are many flavors of DFT that are alternative or go beyond the formulation of Kohn and Sham (KS-DFT). Some of these are based on approximations that sacrifice accuracy when compared to KS-DFT, but in exchange are computationally cheaper and allow the modeling of larger systems.
What are the pros and cons that may motivate someone to choose between the two, to model a large system (e.g. a quantum dot, nanowire, nanoparticle)? What can these methods both do and where do they differ? Which is more accurate?
I have not yet seen a comparative study on the performance of these methods.