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An algebraic theory for modeling direct interconnection networks

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6 Author(s)
Kaushik, S.D. ; Dept. of Comput. & Inf. Sci., Ohio State Univ., Columbus, OH, USA ; Sharma, S. ; Huang, C.-H. ; Johnson, J.R.
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The authors present an algebraic theory based on tensor products for modeling direct interconnection networks. This theory has been used for designing and implementing block recursive numerical algorithms on shared-memory vector multiprocessors. This theory can be used for mapping algorithms expressed in tensor product form onto distributed-memory architectures. The authors focus on the modeling of direct interconnection networks. Rings, n-dimensional meshes, and hypercubes are represented in tensor product form. Algorithm mapping using tensor product formulation is demonstrated by mapping matrix transposition and matrix multiplication onto different networks

Published in:

Supercomputing '92., Proceedings

Date of Conference:

16-20 Nov 1992