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The intrinsic complexity of parametric elimination methods

J. Heintz, G. Matera, L. M. Pardo, R. Wachenchauzer

alg-geomarXiv:alg-geom/9707006

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.

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