transpose

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Related to matrix transposition: matrix addition, matrix multiplication
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We first discuss the sorting problem and then apply our results to get optimum algorithms for permuting, FFT, permutation networks, and matrix transposition.
We have derived matching upper and lower bounds, up to a constant factor, for the average-case and worst-case number of I/Os needed to perform sorting-related tasks, which include sorting, FFT, permutation networks, permutting and matrix transposition.