Hypermatrix oriented supernode amalgamation

  • Authors:
  • José R. Herrero;Juan J. Navarro

  • Affiliations:
  • Computer Architecture Department, Universitat Politècnica de Catalunya, Barcelona, Spain 08034;Computer Architecture Department, Universitat Politècnica de Catalunya, Barcelona, Spain 08034

  • Venue:
  • The Journal of Supercomputing
  • Year:
  • 2008

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Abstract

In this paper, we introduce a supernode amalgamation algorithm which takes into account the characteristics of a hypermatrix data structure. The resulting frontal tree is then used to create a variable-sized partitioning of the hypermatrix. The sparse hypermatrix Cholesky factorization obtained runs slightly faster than the one which uses a fixed-sized partitioning. The algorithm also reduces data dependencies which limit exploitation of parallelism.