Equation 15 · Part 2 · Locality Is the Whole Game: The Memory Hierarchy and What a Kernel Does Not Read
multiplication
multiplication
What this part means
Multiply the quantities on either side.
Its job in the formula
Multiply the quantities on either side.
Full expression→multiplication→Article meaning
The passage around this formula
The repair is to restructure the loops so that the working set of the innermost computation is small enough to sit in a fast store and is used many times before being evicted. Partition the operands into b b blocks and compute block by block. Three such blocks — two inputs and an accumulator — must be resident simultaneously, so the tile size is bounded by the fast-store capacity M in words:
Learn the underlying idea
Multiplication scales one quantity by another. A dot, a cross, or adjacent symbols can indicate a product.
Open the illustrated multiplication: combining factors guide →
Sources cited in the article section
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