I wonder what has happened to polynomial preconditioners. I am interested in them, because they appear to be comparatively elegant from a mathematical perspective, but as far as I have read in surveys on krylov methods, they generally perform very poor as preconditioners. In the words of Saad and van der Host, "Current interest in these techniques has all but vanished" (Here). Nevertheless, there have been uses for multicore- and GPU-calculations in the recent past.
Can anyone tell me or rather explain me in which contexts these methods are still alive, and where to find a good survey on the current state of the art?