Submatrices with the best-bounded inverses: the equality criterion for $\mathbb{R}^{n \times 2}$
Numerical Analysis
2026-05-05 v2 Numerical Analysis
Abstract
The long-standing hypothesis formulated by Goreinov, Tyrtyshnikov and Zamarashkin \cite{GTZ1997} has recently been solved positively by Sengupta and Pautov \cite{SP2026} in the case of two-column matrices. In this paper, we complement their elegant proof with the equality criterion.
Keywords
Cite
@article{arxiv.2604.14050,
title = {Submatrices with the best-bounded inverses: the equality criterion for $\mathbb{R}^{n \times 2}$},
author = {Yuri Nesterenko},
journal= {arXiv preprint arXiv:2604.14050},
year = {2026}
}