English

Zero Decomposition with Multiplicity of Zero-Dimensional Polynomial Systems

Symbolic Computation 2015-03-17 v1 Logic in Computer Science Algebraic Geometry

Abstract

We present a zero decomposition theorem and an algorithm based on Wu's method, which computes a zero decomposition with multiplicity for a given zero-dimensional polynomial system. If the system satisfies some condition, the zero decomposition is of triangular form.

Cite

@article{arxiv.1011.1634,
  title  = {Zero Decomposition with Multiplicity of Zero-Dimensional Polynomial Systems},
  author = {Yinglin Li and Bican Xia and Zhihai Zhang},
  journal= {arXiv preprint arXiv:1011.1634},
  year   = {2015}
}

Comments

Key words: polynomial system, zero decomposition, multiplicity, Wu's method

R2 v1 2026-06-21T16:40:09.062Z