Equation 17 · Part 9 · Locality Is the Whole Game: The Memory Hierarchy and What a Kernel Does Not Read
≤
≤
What this part means
Less than or equal to.
Its job in the formula
Less than or equal to.
Full expression→≤→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: . Taking b as large as the constraint allows gives
Learn the underlying idea
An inequality compares values without claiming they are equal. It describes a range, threshold, or bound that a quantity may satisfy.
Open the illustrated inequalities: bounds and allowed ranges guide →
Sources cited in the article section
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