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Optimal Sorting Algorithms for Parallel Computers

Authors:

G. Baudet,

D. StevensonAuthors Info & Claims

IEEE Transactions on Computers, Volume 27, Issue 1

Pages 84 - 87

https://doi.org/10.1109/TC.1978.1674957

Published: 01 January 1978 Publication History

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Abstract

The problem of sorting a sequence of n elements on a parallel computer with k processors is considered. The algorithms we present can all be run on a single instruction stream multiple data stream computer. For large n, each achieves an asymptotic speed-up ratio of k with respect to the best sequential algorithm, which is optimal in the number of processors used.

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K. E. Batcher, "Sorting networks and their applications," in Spring Joint Comput. Conf., AFIPS Proc., vol. 32, 1968, pp. 307-314.

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W. J. Bouknight et al., "The ILLIAC IV system," Proc. IEEE, vol. 60, pp. 369-388, Apr. 1972.

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D. E. Knuth, The Art of Computer Programming--Sorting and Searching, vol. 3. Reading, MA: Addison-Wesley, 1973.

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Cited By

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Novaković VSinger S(2022)A Kogbetliantz-type algorithm for the hyperbolic SVDNumerical Algorithms10.1007/s11075-021-01197-490:2(523-561)Online publication date: 1-Jun-2022
https://dl.acm.org/doi/10.1007/s11075-021-01197-4
Tabrizi NBagherzadeh N(2008)An ASIC design and formal analysis of a novel pipelined and parallel sorting acceleratorIntegration, the VLSI Journal10.1016/j.vlsi.2007.01.00441:1(65-75)Online publication date: 1-Jan-2008
https://dl.acm.org/doi/10.1016/j.vlsi.2007.01.004
Cheng SYasuura H(2003)Arbitrary long digit integer sorter HW/SW co-designProceedings of the 2003 Asia and South Pacific Design Automation Conference10.1145/1119772.1119884(538-543)Online publication date: 21-Jan-2003
https://dl.acm.org/doi/10.1145/1119772.1119884
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Optimal Sorting Algorithms for Parallel Computers
1. Computing methodologies
  1. Parallel computing methodologies
2. Theory of computation
  1. Design and analysis of algorithms
    1. Data structures design and analysis
  2. Models of computation
    1. Concurrency

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cover image IEEE Transactions on Computers

IEEE Transactions on Computers Volume 27, Issue 1

January 1978

103 pages

ISSN:0018-9340

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IEEE Computer Society

United States

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Published: 01 January 1978

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Novaković VSinger S(2022)A Kogbetliantz-type algorithm for the hyperbolic SVDNumerical Algorithms10.1007/s11075-021-01197-490:2(523-561)Online publication date: 1-Jun-2022
https://dl.acm.org/doi/10.1007/s11075-021-01197-4
Tabrizi NBagherzadeh N(2008)An ASIC design and formal analysis of a novel pipelined and parallel sorting acceleratorIntegration, the VLSI Journal10.1016/j.vlsi.2007.01.00441:1(65-75)Online publication date: 1-Jan-2008
https://dl.acm.org/doi/10.1016/j.vlsi.2007.01.004
Cheng SYasuura H(2003)Arbitrary long digit integer sorter HW/SW co-designProceedings of the 2003 Asia and South Pacific Design Automation Conference10.1145/1119772.1119884(538-543)Online publication date: 21-Jan-2003
https://dl.acm.org/doi/10.1145/1119772.1119884
Lee JBatcher K(2000)Minimizing Communication in the Bitonic SortIEEE Transactions on Parallel and Distributed Systems10.1109/71.85239911:5(459-474)Online publication date: 1-May-2000
https://dl.acm.org/doi/10.1109/71.852399
Olariu SPinotti MZheng S(1999)How to Sort N Items Using a Sorting Network of Fixed I/O SizeIEEE Transactions on Parallel and Distributed Systems10.1109/71.77019510:5(487-499)Online publication date: 1-May-1999
https://dl.acm.org/doi/10.1109/71.770195
Zhou BBrent R(1997)A Parallel Ring Ordering Algorithm for Efficient One-Sided Jacobi SVD ComputationsJournal of Parallel and Distributed Computing10.1006/jpdc.1997.130442:1(1-10)Online publication date: 10-Apr-1997
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Bilardi GHerley KPietracaprina APucci GSpirakis PBlelloch G(1996)BSP vs LogPProceedings of the eighth annual ACM symposium on Parallel Algorithms and Architectures10.1145/237502.237504(25-32)Online publication date: 24-Jun-1996
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Hsu TWang S(1995)A simple architecture for constant time sorting machinesACM SIGARCH Computer Architecture News10.1145/216585.21658723:1(13-19)Online publication date: 1-Mar-1995
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Helman DJáJá J(1995)Efficient Image Processing Algorithms on the Scan Line Array ProcessorIEEE Transactions on Pattern Analysis and Machine Intelligence10.1109/34.36815317:1(47-56)Online publication date: 1-Jan-1995
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Lee T(1994)Generalized Recursive Sorting NetworksJournal of Parallel and Distributed Computing10.1006/jpdc.1994.105521:2(237-245)Online publication date: 1-May-1994
https://dl.acm.org/doi/10.1006/jpdc.1994.1055
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