VLSI array processors
Some efficient solutions to the affine scheduling problem: I. One-dimensional time
International Journal of Parallel Programming
The Organization of Computations for Uniform Recurrence Equations
Journal of the ACM (JACM)
Mapping Nested Loop Algorithms into Multidimensional Systolic Arrays
IEEE Transactions on Parallel and Distributed Systems
On Time Mapping of Uniform Dependence Algorithms into Lower Dimensional Processor Arrays
IEEE Transactions on Parallel and Distributed Systems
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A formal method to schedule algorithms for the special case of 3D → 1D spatial mapping is proposed. The method is based on a technique of two-dimensional scheduling. Initial 3D algorithms should be represented as a system of uniform recurrence equations or as a uniform loopn est. The method can be generalized for the case of 4D → 2D, 5D → 3D spatial mapping or for the case of affine scheduling with the same linear part.