On approximate triangular decompositions in dimension zero

@article{Maza2007OnAT,
title={On approximate triangular decompositions in dimension zero},
author={Marc Moreno Maza and Gregory J. Reid and Robin Scott and Wenyuan Wu},
journal={J. Symb. Comput.},
year={2007},
volume={42},
pages={693-716}
}

Triangular decompositions for systems of polynomial equations with n variables, with exact coefficients, are well developed theoretically and in terms of implemented algorithms in computer algebra systems. However there is much less research concerning triangular decompositions for systems with approximate coefficients. In this paper we discuss the zero-dimensional case of systems having finitely many roots. Our methods depend on having approximations for all the roots, and these are provided… CONTINUE READING