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k×nk \times n

Why this formula appears here

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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k×nk \times n

Equation 2 · 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

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