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An Improved Projection for Cylindrical Algebraic Decomposition

In: Algebraic Geometry and its Applications

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  • D. Lazard

Abstract

It is proved that the projection needed by the CAD algorithm needs only to compute the resultants, the discriminants, the leading coefficients and the constant coefficients of the input polynomials, provided they have be made square—free and relatively prime by GCD computations. This improves [7] first improvement by removing any dimension condition and dropping out from the projection set all coefficients of the input polynomials, other than the leading and the constant ones.

Suggested Citation

  • D. Lazard, 1994. "An Improved Projection for Cylindrical Algebraic Decomposition," Springer Books, in: Chandrajit L. Bajaj (ed.), Algebraic Geometry and its Applications, chapter 29, pages 467-476, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-2628-4_29
    DOI: 10.1007/978-1-4612-2628-4_29
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