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The Structure of Periodic Storage Schemes for Parallel Memories

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2 Author(s)
Wijshoff, Harry A.G. ; Department of Computer Science, University Of Utrecht, P. O. Box 80.012, 3508 TA Utrecht, The Netherlands. ; van Leeuwen, Jan

The use of parallel memories in SIMD machines requires special data mappings, known as ``skewing schemes,'' for storing matrices for the purposes of efficient vector computations. Some schemes have explicitly been implemented in current super-computers. Periodic skewing schemes are of particular interest because they have a regular structure and can be represented by simple formulas. In this paper we show that periodic skewing schemes have an elegant foundation in the mathematical theory of integral lattices and Z-modules, which leads to insightful proofs of a number of general properties of periodic skewing schemes in all dimensions.

Published in:

Computers, IEEE Transactions on  (Volume:C-34 ,  Issue: 6 )

Date of Publication:

June 1985

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