http://www.lix.polytechnique.fr/~giusti/publications/GiLeSa:1999:kro-focm99.pdf

A Gröbner Free Alternative for Polynomial System Solving

Complexity theory of numerical analysis is the study of the number of arithmetic operations required to pass from the input to the output of a numerical problem.

https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0962492900002774

Complexity theory and numerical analysis

Lower bounds for diophantine approximations

Computing the equidimensional decomposition of an algebraic closed set by means of lifting fibers

Given a polynomial system of n equations in n unknowns that depends on some parameters, we define the notion of parametric geometric resolution as a means to represent some generic solutions in terms of the parameters.

https://cs.uwaterloo.ca/~eschost/publications/parametr.pdf

Computing Parametric Geometric Resolutions

Straight--Line Programs in Geometric Elimination Theory

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Straight--Line Programs in Geometric Elimination Theory