ON PARALLEL PREFIX COMPUTATION
1994 ◽
Vol 04
(04)
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pp. 429-436
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Keyword(s):
We prove that prefix sums of n integers of at most b bits can be found on a COMMON CRCW PRAM in [Formula: see text] time with a linear time-processor product. The algorithm is optimally fast, for any polynomial number of processors. In particular, if [Formula: see text] the time taken is [Formula: see text]. This is a generalisation of previous result. The previous [Formula: see text] time algorithm was valid only for O(log n)-bit numbers. Application of this algorithm to r-way parallel merge sort algorithm is also considered. We also consider a more realistic PRAM variant, in which the word size, m, may be smaller than b (m≥log n). On this model, prefix sums can be found in [Formula: see text] optimal time.
2010 ◽
Vol 1
(19)
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pp. 70-73
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1992 ◽
Vol 02
(02)
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pp. 191-214
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Keyword(s):
2000 ◽
Vol 11
(03)
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pp. 365-371
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Keyword(s):
2012 ◽
Vol 160
(3)
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pp. 210-217
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Keyword(s):