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arXiv · 1405.6082

A comparison of three heuristics to choose the variable ordering for CAD

Zongyan Huang·Matthew England·David Wilson·James H. Davenport·Lawrence C. Paulson
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Abstract

Cylindrical algebraic decomposition (CAD) is a key tool for problems in real algebraic geometry and beyond. When using CAD there is often a choice over the variable ordering to use, with some problems infeasible in one ordering but simple in another. Here we discuss a recent experiment comparing three heuristics for making this choice on thousands of examples.

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Zongyan Huang, Matthew England, David Wilson, James H. Davenport, Lawrence C. Paulson. 2014-05-23. A comparison of three heuristics to choose the variable ordering for CAD. https://doi.org/10.1145/2733693.2733706

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