Anatomy of high-performance matrix multiplication

Author:

Goto Kazushige1,Geijn Robert A. van de1

Affiliation:

1. The University of Texas at Austin, Austin, TX

Abstract

We present the basic principles that underlie the high-performance implementation of the matrix-matrix multiplication that is part of the widely used GotoBLAS library. Design decisions are justified by successively refining a model of architectures with multilevel memories. A simple but effective algorithm for executing this operation results. Implementations on a broad selection of architectures are shown to achieve near-peak performance.

Funder

Advanced Cyberinfrastructure

Lawrence Livermore National Laboratory, Office of Science

Division of Computing and Communication Foundations

Publisher

Association for Computing Machinery (ACM)

Subject

Applied Mathematics,Software

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