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m×km \times k

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Multiplying an m ×\times k matrix by a k ×\times n matrix performs 2mnk floating-point operations while touching mk + kn + mn elements. If each element occupies s bytes, the ratio of work done to bytes moved is

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m×km \times k

Equation 1 · AI Hardware & Semiconductors

What an AI Accelerator Actually Is: Silicon, Packaging, and the Memory It Can Reach

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

Multiplying an m ×\times k matrix by a k ×\times n matrix performs 2mnk floating-point operations while touching mk + kn + mn elements. If each element occupies s bytes, the ratio of work done to bytes moved is

Meanings in this article

  • mm: the number of rows in the first matrix.
  • kk: the shared inner dimension: columns in the first matrix and rows in the second.
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