Cylindrical algebraic decomposition

Given a set of polynomials in Rⁿ and a set S in Rⁿ the Cylindrical algebraic decomposition algorithm finds a decomposition of S in to a number of cells such that for each cell each polynomial has constant sign.

See also

• Quantifier elimination
• Tarski's theorem

References

• Strzebonski, Adam. Cylindrical Algebraic Decomposition from MathWorld.
• Cylindrical Algebraic Decomposition in Planning algorithms by Steven M. LaValle. Accessed 13 July 2007

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