Improving the Performance of DGEMM with MoA and Cache-Blocking: Preprint

Conference · Wed Feb 09 04:00:00 EST 2022

OSTI ID:1845269

Thomas, Stephen; Mullin, Lenore; Swirydowicz, Katarzyna

The goal of this paper is to demonstrate performance enhancements of the high performance dense linear algebra matrix-matrix multiply DGEMM kernel, widely implemented by vendors in the basic linear algebra subroutine BLAS library. The mathematics of arrays (MoA) paradigm due to Mullin (1988) results in contiguous memory accesses in combination with Church-Rosser complete language constructs optimized for target processor architectures [3]. Our performance studies demonstrate that the MoA implementation of DGEMM combined with optimal cache-blocking strategies results in at least a 25% performance gain on both Intel Xeon Skylake and IBM Power-9 processors over the vendor supplied Intel MKL and IBM ESSL basic linear algebra libraries. Results are presented for the NREL Eagle and ORNL Summit supercomputers.

• Research Organization: National Renewable Energy Laboratory (NREL), Golden, CO (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)
• DOE Contract Number: AC36-08GO28308
• OSTI ID: 1845269
• Report Number(s): NREL/CP-2C00-80232; MainId:42435; UUID:6e404b9c-0e8d-4c93-a224-30161a0be7be; MainAdminID:63011
• Country of Publication: United States
• Language: English

Related Subjects

DGEMM
MATHEMATICS AND COMPUTING
MoA
cache-blocking
contiguous memory
mathematics of arrays