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IEEE Transactions on Computers
Article . 1984 . Peer-reviewed
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On the Impact of Communication Complexity on the Design of Parallel Numerical Algorithms

On the impact of communication complexity on the design of parallel numerical algorithms
Authors: Gannon, Dennis B.; van Rosendale, John;

On the Impact of Communication Complexity on the Design of Parallel Numerical Algorithms

Abstract

Summary: This paper describes two models of the cost of data movement in parallel numerical algorithms. One model is a generalization of an approach due to Hockney, and is suitable for shared memory multiprocessors where each processor has vector capabilities. The other model is applicable to highly parallel nonshared memory MIMD systems. In this second model, algorithm performance is characterized in terms of the communication network design. Techniques used in VLSI complexity theory are also brought in, and algorithm-independent upper bounds on system performance are derived for several problems that are important to scientific computation.

Keywords

Analysis of algorithms and problem complexity, algorithm performance, parallel algorithms, parallel architectures, cost of data movement in parallel numerical algorithms, system performance, shared memory multiprocessors, Theory of operating systems, highly parallel nonshared memory MIMD systems, Applications of graph theory to circuits and networks, communication network design, numerical software, Algorithms in computer science, VLSI complexity, interconnection networks

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    67
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
67
Average
Top 1%
Top 10%
bronze