Unimodular Transformations

  • Utpal Banerjee


While studying loop permutations in the previous chapter, we saw that their usefulness in getting doall loops was somewhat limited. In this chapter, we consider a class of loop transformations that includes loop permutations as a proper subset, and is better suited for parallelization. A loop permutation is defined by a permutation matrix; a unimodular transformation is a loop transformation defined by a unimodular matrix. (Remember that permutation matrices are unimodular.)


Outer Loop Distance Vector Loop Nest Index Point Elementary Transformation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Utpal Banerjee
    • 1
  1. 1.Intel CorporationUSA

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