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Numerical algorithms for parallel computers

Published: 19 May 1980 Publication History

Abstract

Numerical methods are generally judged on their ability to produce a reasonably accurate answer in a reasonable amount of time. This paper deals with the latter criterion in the context of non-standard architectures---namely vector and array processors. These architectures owe their very existence to the demands for more computing power than is available on conventional, sequential computers, so speed and efficiency are especially relevant in this area.

References

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Holland, S. A. and Purcell, C. J., "The CDC STAR-100: A Large Scale Network Oriented Computer System," Proceedings IEEE Conference (Boston), 1971, p. 55.
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Russell, R. M., "The CRAY-1 Computer System," Communications of ACM, Vol. 21, 1978, p. 423.
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Korn, D. G. and Lambiotte, J. J., "Computing the Fast Fourier Transform on a Vector Computer," Mathematics of Computing, Vol. 33, 1979, p. 977.
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Stone, H. S., "Parallel Processing with the Perfect Shuffle," IEEE Transactions on Computers, Vol. C-20, 1971, p. 153.
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Jesshope, C. R., "Implementation of Fast Radix 2 Transforms on Array Processors," Department of Computer Science Technical Report, University of Reading, 1977.
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Kung, H. T. and Stevenson, D. K., "A Software Technique for Reducing the Routing Time on a Parallel Computer with a Fixed Interconnection Network," Proceedings of a Symposium on High Speed Computer and Algorithm Organization, Academic Press, New York, 1978, p. 423.
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Stokes, R. A., "Burroughs Scientific Processor," Proceedings of a Symposium on High Speed Computer and Algorithm Organization, Academic Press, New York, 1978, p. 85.
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Kung, H. T. and Leiserson, C. E., "Algorithms for VLSI Processor Arrays," Introduction to VLSI Systems, Addison Wesley, Reading MA, 1980, p. 271.
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Heller, D. E., Stevenson, D. K. and Traub, J. F., "Accelerated Iterative Methods for the Solution of Tridiagonal Systems on Parallel Computers," Journal of ACM, Vol. 23, 1976, p. 636.

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  • (1991)Concurrent Processing in Power System AnalysisAnalysis and Control System Techniques for Electric Power Systems, Part 2 of 410.1016/B978-0-12-012742-9.50006-9(1-55)Online publication date: 1991
  1. Numerical algorithms for parallel computers

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    cover image ACM Other conferences
    AFIPS '80: Proceedings of the May 19-22, 1980, national computer conference
    May 1980
    932 pages
    ISBN:9781450379236
    DOI:10.1145/1500518
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 19 May 1980

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    • (1991)Concurrent Processing in Power System AnalysisAnalysis and Control System Techniques for Electric Power Systems, Part 2 of 410.1016/B978-0-12-012742-9.50006-9(1-55)Online publication date: 1991

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