A New Algorithm for Inner Product

  • Authors:
  • S. Winograd

  • Affiliations:
  • -

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1968

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Abstract

Abstract In this note we describe a new way of computing the inner product of two vectors. This method cuts down the number of multiplications required when we want to perform a large number of inner products on a smaller set of vectors. In particular, we obtain that the product of two n脳n matrices can be performed using roughly n3/2 multiplications instead of the n3multiplications which the regular method necessitates.