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Efficient projection orders for CAD

Published:04 July 2004Publication History

ABSTRACT

We introduce an efficient algorithm for determining a suitable projection order for performing cylindrical algebraic decomposition. Our algorithm is motivated by a statistical analysis of comprehensive test set computations. This analysis introduces several measures on both the projection sets and the entire computation, which turn out to be highly correlated. The statistical data also shows that the orders generated by our algorithm are significantly close to optimal.

References

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    • Published in

      cover image ACM Conferences
      ISSAC '04: Proceedings of the 2004 international symposium on Symbolic and algebraic computation
      July 2004
      334 pages
      ISBN:158113827X
      DOI:10.1145/1005285
      • General Chair:
      • Josef Schicho

      Copyright © 2004 ACM

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      Association for Computing Machinery

      New York, NY, United States

      Publication History

      • Published: 4 July 2004

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