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In algorithms for linear algebraic computations there are a fairly small number of basic operations which are generally responsible for a significant percentage of the total execution time. We mention particularly the dot product operation, ω := x T y, the elementary vector operation, y :=αx+y, and the euclidean vector norm, η = (x T x) 1/2 .
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Hanson et al. (1973) studied this question.
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