Pre-selective screening for matrix elements in linear-scaling exact exchange calculations

We present a simple but accurate preselection method based on Schwarz integral estimates to determine the significant elements of the exact exchange matrix before its evaluation, thus providing an asymptotical linear-scaling behavior for non-metallic systems. Our screening procedure proves to be highly suitable for exchange matrix calculations on massively parallel computing architectures, such as graphical processing units, for which we present a first linear-scaling exchange matrix evaluation algorithm. (C) 2013 American Institute of Physics. [http://dx.doi.org/10.1063/1.4796441]