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Parallel Linear Programming in Fixed Dimension Almost Surely in Constant Time
Abstract
For any fixed dimension d, thelinear programming problem with ninequality constraints can be solved on a probabilistic CRCW PRAM withO1994processors almost surely in constant time. The algorithm always findsthe correct solution. Withnd/log2dprocessors, the probability that the algorithm will not finish withinO(d2log2dtime tends to zero exponentially withn. © 1994, ACM. All rights reserved.
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