Corpus ID: 118900751

The intrinsic complexity of parametric elimination methods

@article{Heintz2008TheIC,
  title={The intrinsic complexity of parametric elimination methods},
  author={Joos Heintz and Guillermo Matera and Luis M. Pardo and R. Wachenchauzer},
  journal={arXiv: Algebraic Geometry},
  year={2008}
}
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 even if highly performant data structures (as e.g. the straight–line program encoding of polynomials) are used. The paper finishes with the motivated… Expand
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