Graph theory and Gaussian elimination.

  • Authors:
  • Robert E Tarjan

  • Affiliations:
  • -

  • Venue:
  • Graph theory and Gaussian elimination.
  • Year:
  • 1975

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Abstract

This paper surveys graph-theoretic ideas which apply to the problem of solving a sparse system of linear equations by Gaussian elimination. Included are a discussion of bandwidth, profile, and general sparse elimination schemes, and of two graph-theoretic partitioning methods. Algorithms based on these ideas are presented.