Portable high performance GEMM-based level 3 BLAS

Conference · Fri Dec 31 04:00:00 EST 1993

OSTI ID:54425

Kaegstroem, B; Ling, P ^[1]; Van Loan, C ^[2]

---

1. Univ. of Umea (Sweden)
2. Cornell Univ., Ithaca, NY (United States)

The Level 3 Basic Linear Algebra subprograms (BLAS) are designed to perform various matrix multiply and triangular system solving computations. The development of optimal Level 3 BLAS code is costly and time consuming, because it requires assembly level programming/thinking. However, it is possible to develop a portable and high performance Level 3 BLAS only relying on an optimized GEMM, the BLAS subprogram for the general matrix multiply and add operation. With suitable partitioning, all the other Level 3 BLA subprograms can be defined in terms of GEMM and a negligible amount of Level 1 and 2 computations. Performance results of our portable GEMM-Based library for double precision real data are presented for various target architectures.

• OSTI ID: 54425
• Report Number(s): DOE/ER/25151--1-Vol.1; CONF-930331--Vol.1; CNN: Grant NUTEK 89-02578P
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS
ALGORITHMS
MATRICES
MEMORY MANAGEMENT
NUMERICAL SOLUTION
PARALLEL PROCESSING