On an Algebraic System of Equations
代数几何
2025-10-20 v1 数值分析
数值分析
摘要
We study a class of overdetermined algebraic systems of equations. We prove that the number of distinct solutions equals to the maximal possible if and only if certain matrices are commuting and semisimple. This gives a characterization of correct systems of points for multivariate Lagrange interpolation.
引用
@article{arxiv.math/0403459,
title = {On an Algebraic System of Equations},
author = {H. Hakopian and M. Tonoyan},
journal= {arXiv preprint arXiv:math/0403459},
year = {2025}
}