Avoiding data link and computational conflicts in mapping nested loop algorithms to lower-dimensional processor arrays
Jingling Xue, P. Lenders · 2002
This paper describes a unified approach to checking data link and computational conflicts in mapping algorithms to lower-dimensional processor arrays. Based primarily on the notion of Hermite normal form, we propose a range of necessary and sufficient conditions to identify mappings without data link and computational conflicts. These conditions are then used to find optimal time mappings of a transitive closure algorithm to linear processor arrays.