Abstract
We give a parallel algorithm for the problem of computing the row minima of a totally monotone two-dimensional matrix. Whereas the previous best CREW-PRAM algorithm for this problem ran in O(log n log log n) time with O( n log log n ) processors, our algorithms runs in O(log n) time with O( n) processors in the (weaker) EREW-PRAM model. Thus we simultaneously improve the time complexity without any deterioration in the time × processors product, even using a weaker model of parallel computation.
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