Optimized Q-pivot for Exact Linear Solvers

  • Authors:
  • David-Olivier Azulay;Jean François Pique

  • Affiliations:
  • -;-

  • Venue:
  • CP '98 Proceedings of the 4th International Conference on Principles and Practice of Constraint Programming
  • Year:
  • 1998

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Abstract

We use Q-matrices to efficiently solve incremental linear systems over IR, using integer computations. An algorithm optimized for the Q-pivot operation of Q-matrices is described, allowing a noticeable improvement in the efficiency of linear constraint solvers with infinite precision. We then present a coding of Q-matrices suitable for this algorithm and give some performance measurements.