Affine Transformations of Loop Nests for Parallel Execution and   Distribution of Data over Processors
  The paper is devoted to the problem of mapping affine loop nests onto distributed memory parallel computers. A method to find affine transformations of loop nests for parallel execution and distribution of data over processors is presented. The method tends to minimize the number of communications between processors and to improve locality of data within one processor. A problem of determination of data exchange sequence is investigated. Conditions to determine the ability to arrange broadcast is presented. 
E.V. Adutskevich, S.V. Bakhanovich, N.A. Likhoded