A Fast Algorithm for Matrix Multiplication and Its Efficient Realization on Systolic Arrays

  • Authors:
  • L. D. Elfimova;Yu. V. Kapitonova

  • Affiliations:
  • Cybernetics Institute, National Academy of Sciences of Ukraine, Kiev, Ukraine;Cybernetics Institute, National Academy of Sciences of Ukraine, Kiev, Ukraine

  • Venue:
  • Cybernetics and Systems Analysis
  • Year:
  • 2001

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Abstract

A new fast matrix multiplication algorithm is proposed, which, as compared to the Winograd algorithm, has a lower multiplicative complexity equal to W_M \approx 0.437n^3 multiplication operations. Based on a goal-directed transformation of its basic graph, new optimized architectures of systolic arrays are synthesized. A systolic variant of the Strassen algorithm is presented for the first time.