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Cache oblivious storage and access heuristics for blocked matrix-matrix multiplication

2008/08/07 by Nicolas Bock, Emanuel H. Rubensson, Bock, Nicolas +7
Computer Science · #Data Structures and Algorithms (cs.DS) #FOS: Computer and information sciences #cs.DS

paper · pdf · doi:10.48550/arxiv.0808.1108

Fixed typos

arxiv created 2008/08/15 · arxiv updated 2009/12/01

Abstract

We investigate effects of ordering in blocked matrix--matrix multiplication. We find that submatrices do not have to be stored contiguously in memory to achieve near optimal performance. Instead it is the choice of execution order of the submatrix multiplications that leads to a speedup of up to four times for small block sizes. This is in contrast to results for single matrix elements showing that contiguous memory allocation quickly becomes irrelevant as the blocksize increases.

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