Parallel implementation of the algebraic path problem

  • Yves Robert
  • Denis Trystram
Nonnumerical Algorithms (Session 2.2)
Part of the Lecture Notes in Computer Science book series (LNCS, volume 237)


The Algebraic Path Problem is a general framework which unifies several algorithms arising from various fields of computer science. Rote [11] introduces a general algorithm to solve any instance of the APP, as well as a hexagonal systolic array of (n+1)2 elementary processors which can solve the problem in 7n-2 time steps. We propose a new algorithm to solve the APP, and demonstrate its equivalence with Rote's algorithm. The new algorithm is more suitable to parallelization: we propose an orthogonal systolic array of n(n+1) processors which solves the APP within only 5n-2 steps. Finally, we give some experiments on the implementation of our new algorithm in the parallel environment developped by IBM at ECSEC in Roma.


Virtual Machine Shared Memory Transitive Closure Matrix Inversion Systolic Array 
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-Verlag Berlin Heidelberg 1986

Authors and Affiliations

  • Yves Robert
    • 1
  • Denis Trystram
    • 2
  1. 1.CNRS, Laboratoire TIM3St Martin d'Hères CedexFrance
  2. 2.Ecole Centrale ParisChatenay Malabry CedexFrance

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