English

The intrinsic complexity of parametric elimination methods

alg-geom 2008-02-03 v1 Algebraic Geometry

Abstract

This paper is devoted to the complexity analysis of a particular property, called "algebraic robustness" owned by all known symbolic methods of parametric polynomial equation solving (geometric elimination). It is shown that any parametric elimination procedure which owns this property must neccessarily have an exponential sequential time complexity.

Keywords

Cite

@article{arxiv.alg-geom/9707006,
  title  = {The intrinsic complexity of parametric elimination methods},
  author = {J. Heintz and G. Matera and L. M. Pardo and R. Wachenchauzer},
  journal= {arXiv preprint arXiv:alg-geom/9707006},
  year   = {2008}
}

Comments

LaTeX, 12 pages. To appear in Proc. of WAIT'97, Buenos Aires, Argentina, 1997