On an Algebraic System of Equations
Algebraic Geometry
2025-10-20 v1 Numerical Analysis
Numerical Analysis
Abstract
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.
Cite
@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}
}