Optimal design of lower dimensional processor arrays for uniform recurrences

The authors present a parameter-based approach for synthesizing systolic architectures from uniform recurrence equations. The scheme presented is a generalization of the parameter method proposed by G.J. Li and B.W. Wah (1985). The approach synthesizes optimal arrays of any lower dimension from a general uniform recurrence description of the problem. In other previous attempts for mapping uniform recurrences into lower-dimensional arrays, optimality of the resulting designs is not guaranteed. As an illustration of the technique, optimal linear arrays for matrix multiplication are given. A detailed design for solving path-finding problems is also presented