Stable Border Bases for Ideals of Numerical Cartesian Sets

Authors

  • Lili Liu
  • Zhe Li
  • Shugong Zhang

Keywords:

empirical point, numerical cartesian set, vanishing ideal, border base.

Abstract

In this paper, we discuss a special class of sets of bivariate empirical points, namely, numerical cartesian sets. We find that the stable quotient bases for numerical cartesian sets are unique if they exist. Furthermore, the corresponding border bases are the unique stable border bases for the vanishing ideals of numerical cartesian sets.

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Published

2021-05-24

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Issue

Vol. 27 No. 3 (2011)

Section

Articles

How to Cite

Stable Border Bases for Ideals of Numerical Cartesian Sets. (2021). Communications in Mathematical Research, 27(3), 243-252. https://global-sci.com/index.php/cmr/article/view/8700