English

On the solutions of deformed algebraic systems

Numerical Analysis 2025-10-20 v1 Numerical Analysis Commutative Algebra

Abstract

A problem concerning the shift of roots of a system of homogeneous algebraic equations is investigated. Its conservation and decomposition of a multiple root into simple roots are discussed.

Keywords

Cite

@article{arxiv.math/0310419,
  title  = {On the solutions of deformed algebraic systems},
  author = {S. Tanabe and M. N. Vrahatis},
  journal= {arXiv preprint arXiv:math/0310419},
  year   = {2025}
}

Comments

15 pages

R2 v1 2026-07-22T16:59:03.058Z