English

Kronecker's and Newton's approaches to solving: A first comparison

Algebraic Geometry 2025-10-20 v1 Numerical Analysis Numerical Analysis Number Theory

Abstract

In this extended abstract we deal with the relations between the numerical/diophantine approximation and the symbolic/algebraic geometry approachs to solving of multivariate diophentine polynomial systems, obtaining several consecuences ranging from diophantine approximation to effective number theory.

Keywords

Cite

@article{arxiv.math/9908082,
  title  = {Kronecker's and Newton's approaches to solving: A first comparison},
  author = {D. Castro and K. Haegele and J. E. Morais and L. M. Pardo},
  journal= {arXiv preprint arXiv:math/9908082},
  year   = {2025}
}
R2 v1 2026-07-22T18:04:11.375Z