Data Flow Representation of Iterative Algorithms for Systolic Arrays

An algebraic representation is proposed for regular iterative algorithms that can be described as bundles of data flows with different wavefronts. A form corresponding to a geometric representation such as a dependence graph is obtained by modeling data flows with a generating function of a power series. The main attributes of systolic algorithms and arrays are revealed by a unique dataflow representation. This provides the ability to pipeline two or more systolic arrays solving different subproblems without intermediate buffering. An example is given to show a case in which the technique can be used. >