Advanced Techniques for High-Performance Fock Matrix Construction on GPU Clusters

Area of Science:

• Computational Chemistry
• Quantum Chemistry
• High-Performance Computing

Background:

• Fock matrix construction is a critical step in electronic structure calculations.
• Existing algorithms face performance bottlenecks, especially for large systems and advanced basis sets.
• Optimizing Fock matrix construction is essential for advancing computational chemistry capabilities.

Purpose of the Study:

• To develop and present two novel, optimized multi-GPU algorithms for Fock matrix construction.
• To enhance computational efficiency and scalability for Hartree-Fock calculations.
• To provide significant speedups over existing CPU and GPU implementations.

Main Methods:

• Implementation of two optimized multi-GPU algorithms: opt-UM and opt-Brc.
• Incorporation of advanced techniques: improved integral screening, sparsity/symmetry exploitation, and linear scaling exchange matrix assembly.
• Benchmarking on NVIDIA A100 GPUs using the EXtreme-scale Electronic Structure System (EXESS).
• Testing with various system types (linear, globular) and basis sets (double-ζ, triple-ζ).

Main Results:

• Algorithms demonstrate superior performance compared to TeraChem, QUICK, GPU4PySCF, LibIntX, ORCA, and Q-Chem.
• Average speedups of 1.4×, 8.4×, and 9.4× observed against TeraChem, QUICK, and GPU4PySCF, respectively.
• Up to 42× and 31× speedups achieved against ORCA and Q-Chem on single nodes.
• Over 91% parallel efficiency for opt-Brc on four GPUs.
• Power efficiency enhanced by up to 18×.

Conclusions:

• The developed opt-UM and opt-Brc algorithms represent a significant advancement in Fock matrix construction.
• These algorithms offer substantial performance gains and improved scalability for electronic structure calculations.
• The optimized methods pave the way for more efficient and powerful computational chemistry research.