Scheduling a system of affine recurrence equations onto a systolic array

Most work on the problem of scheduling computations on a systolic array is restricted to systems of uniform recurrence equations. This restriction is relaxed to include systems of affine recurrence equations. In this broader class, a sufficient condition is given for the system to be computable. Necessary and sufficient conditions are given for the existence of an affine schedule, along with a procedure that constructs the schedule vector when one exists.<
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