title: Accelerating Correlated Quantum Chemistry Calculations Using Graphical Processing Units and a Mixed Precision Matrix Multiplication Library.
abstract: Two new tools for the acceleration of computational chemistry codes using graphical processing units (GPUs) are presented. First, we propose a general black-box approach for the efficient GPU acceleration of matrix-matrix multiplications where the matrix size is too large for the whole computation to be held in the GPU's onboard memory. Second, we show how to improve the accuracy of matrix multiplications when using only single-precision GPU devices by proposing a heterogeneous computing model, whereby single- and double-precision operations are evaluated in a mixed fashion on the GPU and central processing unit, respectively. The utility of the library is illustrated for quantum chemistry with application to the acceleration of resolution-of-the-identity second-order Møller-Plesset perturbation theory calculations for molecules, which we were previously unable to treat. In particular, for the 168-atom valinomycin molecule in a cc-pVDZ basis set, we observed speedups of 13.8, 7.8, and 10.1 times for single-, double- and mixed-precision general matrix multiply (SGEMM, DGEMM, and MGEMM), respectively. The corresponding errors in the correlation energy were reduced from -10.0 to -1.2 kcal mol(-1) for SGEMM and MGEMM, respectively, while higher accuracy can be easily achieved with a different choice of cutoff parameter.
authors.affiliation: Department of Chemistry and Chemical Biology, Harvard University, 12 Oxford Street, Cambridge, Massachusetts 02138 and Q-Chem, Inc., 5001 Baum Boulevard, Suite 690, Pittsburgh, Pennsylvania 15213.
authors.forename: Roberto
authors.initials: R
authors.lastname: Olivares-Amaya
authors.affiliation: Department of Chemistry and Chemical Biology, Harvard University, 12 Oxford Street, Cambridge, Massachusetts 02138 and Q-Chem, Inc., 5001 Baum Boulevard, Suite 690, Pittsburgh, Pennsylvania 15213.
authors.forename: Mark A
authors.initials: MA
authors.lastname: Watson
authors.affiliation: Department of Chemistry and Chemical Biology, Harvard University, 12 Oxford Street, Cambridge, Massachusetts 02138 and Q-Chem, Inc., 5001 Baum Boulevard, Suite 690, Pittsburgh, Pennsylvania 15213.
authors.forename: Richard G
authors.initials: RG
authors.lastname: Edgar
authors.affiliation: Department of Chemistry and Chemical Biology, Harvard University, 12 Oxford Street, Cambridge, Massachusetts 02138 and Q-Chem, Inc., 5001 Baum Boulevard, Suite 690, Pittsburgh, Pennsylvania 15213.
authors.forename: Leslie
authors.initials: L
authors.lastname: Vogt
authors.affiliation: Department of Chemistry and Chemical Biology, Harvard University, 12 Oxford Street, Cambridge, Massachusetts 02138 and Q-Chem, Inc., 5001 Baum Boulevard, Suite 690, Pittsburgh, Pennsylvania 15213.
authors.forename: Yihan
authors.initials: Y
authors.lastname: Shao
authors.affiliation: Department of Chemistry and Chemical Biology, Harvard University, 12 Oxford Street, Cambridge, Massachusetts 02138 and Q-Chem, Inc., 5001 Baum Boulevard, Suite 690, Pittsburgh, Pennsylvania 15213.
authors.forename: Alán
authors.initials: A
authors.lastname: Aspuru-Guzik