High-Performance, Graphics Processing Unit-Accelerated Fock Build Algorithm

Giuseppe M.J. Barca, Jorge L. Galvez-Vallejo, David L. Poole, Alistair P. Rendell, Mark S. Gordon

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


We present a high-performance, GPU (graphics processing unit)-accelerated algorithm for building the Fock matrix. The algorithm is designed for efficient calculations on large molecular systems and uses a novel dynamic load balancing scheme that maximizes the GPU throughput and avoids thread divergence that could occur due to integral screening. Additionally, the code adopts a novel ERI digestion algorithm that exploits all forms of permutational symmetry, combines efficiently the evaluation of both Coulomb and exchange terms together, and eliminates explicit thread synchronization requirements. Performance results obtained using a number of large molecules reveal remarkable speedups up to 24.4× with respect to the QUICK GPU code and up to 237× with respect to the GAMESS CPU parallel code.

Original languageEnglish
Pages (from-to)7232–7238
Number of pages7
JournalJournal of Chemical Theory and Computation
Issue number12
Publication statusPublished - 8 Dec 2020


  • GPU
  • Fock matrix
  • algorithm
  • permutational symmetry
  • molecules


Dive into the research topics of 'High-Performance, Graphics Processing Unit-Accelerated Fock Build Algorithm'. Together they form a unique fingerprint.

Cite this